analysis.calculus.fderiv.basic | Mathlib porting status

(last sync)

feat(analysis/normed/group/basic): norm lemmas for lipschitz and antilipschitz (#19103)

This also corrects some nonsense names produced by to_additive.

Diff

@@ -693,7 +693,7 @@ lemma has_fderiv_at_filter.is_O_sub_rev (hf : has_fderiv_at_filter f f' x L) {C}
   (λ x', x' - x) =O[L] (λ x', f x' - f x) :=
 have (λ x', x' - x) =O[L] (λ x', f' (x' - x)),
   from is_O_iff.2 ⟨C, eventually_of_forall $ λ x',
-    add_monoid_hom_class.bound_of_antilipschitz f' hf' _⟩,
+    zero_hom_class.bound_of_antilipschitz f' hf' _⟩,
 (this.trans (hf.trans_is_O this).right_is_O_add).congr (λ _, rfl) (λ _, sub_add_cancel _ _)
 
 end continuous

feat(analysis/calculus): drop unneeded assumptions (#19045)

Prove more precise congruence lemmas for derivatives. In particular, adding or removing a single point from s doesn't change anything about derivatives within s.
Drop has_fderiv_within_at.antimono and has_deriv_within_at.antimono, use stronger *.mono_of_mem lemmas instead.
Prove some equalities about (f)deriv_within by using simp instead of slit_ifs: if has_fderiv_within_at f f' s x ↔ has_fderiv_within_at g g' t y, then fderiv_within f s x = fderiv_within g t y.

Diff

@@ -352,23 +352,27 @@ by { simp only [has_fderiv_within_at, nhds_within_univ], refl }
 
 alias has_fderiv_within_at_univ ↔ has_fderiv_within_at.has_fderiv_at_of_univ _
 
-lemma has_fderiv_within_at_insert {y : E} {g' : E →L[𝕜] F}  :
-  has_fderiv_within_at g g' (insert y s) x ↔ has_fderiv_within_at g g' s x :=
+lemma has_fderiv_within_at_insert {y : E} :
+  has_fderiv_within_at f f' (insert y s) x ↔ has_fderiv_within_at f f' s x :=
 begin
   rcases eq_or_ne x y with rfl|h,
   { simp_rw [has_fderiv_within_at, has_fderiv_at_filter],
     apply asymptotics.is_o_insert,
-    simp only [sub_self, g'.map_zero] },
-  refine ⟨λ h, h.mono $ subset_insert y s, λ hg, hg.mono_of_mem _⟩,
+    simp only [sub_self, map_zero] },
+  refine ⟨λ h, h.mono $ subset_insert y s, λ hf, hf.mono_of_mem _⟩,
   simp_rw [nhds_within_insert_of_ne h, self_mem_nhds_within]
 end
 
 alias has_fderiv_within_at_insert ↔ has_fderiv_within_at.of_insert has_fderiv_within_at.insert'
 
-lemma has_fderiv_within_at.insert {g' : E →L[𝕜] F} (h : has_fderiv_within_at g g' s x) :
-  has_fderiv_within_at g g' (insert x s) x :=
+lemma has_fderiv_within_at.insert (h : has_fderiv_within_at f f' s x) :
+  has_fderiv_within_at f f' (insert x s) x :=
 h.insert'
 
+lemma has_fderiv_within_at_diff_singleton (y : E) :
+  has_fderiv_within_at f f' (s \ {y}) x ↔ has_fderiv_within_at f f' s x :=
+by rw [← has_fderiv_within_at_insert, insert_diff_singleton, has_fderiv_within_at_insert]
+
 lemma has_strict_fderiv_at.is_O_sub (hf : has_strict_fderiv_at f f' x) :
   (λ p : E × E, f p.1 - f p.2) =O[𝓝 (x, x)] (λ p : E × E, p.1 - p.2) :=
 hf.is_O.congr_of_sub.2 (f'.is_O_comp _ _)
@@ -520,7 +524,7 @@ begin
 end
 
 lemma differentiable_within_at.mono_of_mem (h : differentiable_within_at 𝕜 f s x) {t : set E}
-  (hst : s ∈ nhds_within x t) :
+  (hst : s ∈ 𝓝[t] x) :
   differentiable_within_at 𝕜 f t x :=
 (h.has_fderiv_within_at.mono_of_mem hst).differentiable_within_at
 
@@ -530,27 +534,11 @@ by simp only [differentiable_within_at, has_fderiv_within_at_univ, differentiabl
 
 lemma differentiable_within_at_inter (ht : t ∈ 𝓝 x) :
   differentiable_within_at 𝕜 f (s ∩ t) x ↔ differentiable_within_at 𝕜 f s x :=
-by simp only [differentiable_within_at, has_fderiv_within_at, has_fderiv_at_filter,
-    nhds_within_restrict' s ht]
+by simp only [differentiable_within_at, has_fderiv_within_at_inter ht]
 
 lemma differentiable_within_at_inter' (ht : t ∈ 𝓝[s] x) :
   differentiable_within_at 𝕜 f (s ∩ t) x ↔ differentiable_within_at 𝕜 f s x :=
-by simp only [differentiable_within_at, has_fderiv_within_at, has_fderiv_at_filter,
-    nhds_within_restrict'' s ht]
-
-lemma differentiable_within_at.antimono (h : differentiable_within_at 𝕜 f s x) (hst : s ⊆ t)
-  (hx : s ∈ 𝓝[t] x) :
-  differentiable_within_at 𝕜 f t x :=
-by rwa [← differentiable_within_at_inter' hx, inter_eq_self_of_subset_right hst]
-
-lemma has_fderiv_within_at.antimono (h : has_fderiv_within_at f f' s x) (hst : s ⊆ t)
-  (hs : unique_diff_within_at 𝕜 s x) (hx : s ∈ 𝓝[t] x) :
-  has_fderiv_within_at f f' t x :=
-begin
-  have h' : has_fderiv_within_at f _ t x :=
-    (h.differentiable_within_at.antimono hst hx).has_fderiv_within_at,
-  rwa hs.eq h (h'.mono hst),
-end
+by simp only [differentiable_within_at, has_fderiv_within_at_inter' ht]
 
 lemma differentiable_at.differentiable_within_at
   (h : differentiable_at 𝕜 f x) : differentiable_within_at 𝕜 f s x :=
@@ -585,52 +573,30 @@ begin
   exact (differentiable_within_at_inter (is_open.mem_nhds t_open xt)).1 (ht x ⟨xs, xt⟩)
 end
 
-lemma fderiv_within_subset (st : s ⊆ t) (ht : unique_diff_within_at 𝕜 s x)
+lemma fderiv_within_of_mem (st : t ∈ 𝓝[s] x) (ht : unique_diff_within_at 𝕜 s x)
   (h : differentiable_within_at 𝕜 f t x) :
   fderiv_within 𝕜 f s x = fderiv_within 𝕜 f t x :=
-((differentiable_within_at.has_fderiv_within_at h).mono st).fderiv_within ht
+((differentiable_within_at.has_fderiv_within_at h).mono_of_mem st).fderiv_within ht
 
-lemma fderiv_within_subset' (st : s ⊆ t) (ht : unique_diff_within_at 𝕜 s x) (hx : s ∈ 𝓝[t] x)
-  (h : differentiable_within_at 𝕜 f s x) :
+lemma fderiv_within_subset (st : s ⊆ t) (ht : unique_diff_within_at 𝕜 s x)
+  (h : differentiable_within_at 𝕜 f t x) :
   fderiv_within 𝕜 f s x = fderiv_within 𝕜 f t x :=
-fderiv_within_subset st ht (h.antimono st hx)
+fderiv_within_of_mem (nhds_within_mono _ st self_mem_nhds_within) ht h
 
-@[simp] lemma fderiv_within_univ : fderiv_within 𝕜 f univ = fderiv 𝕜 f :=
-begin
-  ext x : 1,
-  by_cases h : differentiable_at 𝕜 f x,
-  { apply has_fderiv_within_at.fderiv_within _ unique_diff_within_at_univ,
-    rw has_fderiv_within_at_univ,
-    apply h.has_fderiv_at },
-  { have : ¬ differentiable_within_at 𝕜 f univ x,
-    { rwa differentiable_within_at_univ },
-    rw [fderiv_zero_of_not_differentiable_at h,
-        fderiv_within_zero_of_not_differentiable_within_at this] }
-end
-
-lemma fderiv_within_inter (ht : t ∈ 𝓝 x) (hs : unique_diff_within_at 𝕜 s x) :
+lemma fderiv_within_inter (ht : t ∈ 𝓝 x) :
   fderiv_within 𝕜 f (s ∩ t) x = fderiv_within 𝕜 f s x :=
-begin
-  by_cases h : differentiable_within_at 𝕜 f (s ∩ t) x,
-  { apply fderiv_within_subset (inter_subset_left _ _) _ ((differentiable_within_at_inter ht).1 h),
-    apply hs.inter ht },
-  { have : ¬ differentiable_within_at 𝕜 f s x,
-    { rwa ←differentiable_within_at_inter ht },
-    rw [fderiv_within_zero_of_not_differentiable_within_at h,
-        fderiv_within_zero_of_not_differentiable_within_at this] }
-end
+by simp only [fderiv_within, has_fderiv_within_at_inter ht]
 
 lemma fderiv_within_of_mem_nhds (h : s ∈ 𝓝 x) :
   fderiv_within 𝕜 f s x = fderiv 𝕜 f x :=
-begin
-  have : s = univ ∩ s, by simp only [univ_inter],
-  rw [this, ← fderiv_within_univ],
-  exact fderiv_within_inter h (unique_diff_on_univ _ (mem_univ _))
-end
+by simp only [fderiv, fderiv_within, has_fderiv_at, has_fderiv_within_at, nhds_within_eq_nhds.2 h]
+
+@[simp] lemma fderiv_within_univ : fderiv_within 𝕜 f univ = fderiv 𝕜 f :=
+funext $ λ _, fderiv_within_of_mem_nhds univ_mem
 
 lemma fderiv_within_of_open (hs : is_open s) (hx : x ∈ s) :
   fderiv_within 𝕜 f s x = fderiv 𝕜 f x :=
-fderiv_within_of_mem_nhds (is_open.mem_nhds hs hx)
+fderiv_within_of_mem_nhds (hs.mem_nhds hx)
 
 lemma fderiv_within_eq_fderiv (hs : unique_diff_within_at 𝕜 s x) (h : differentiable_at 𝕜 f x) :
   fderiv_within 𝕜 f s x = fderiv 𝕜 f x :=
@@ -735,6 +701,44 @@ end continuous
 section congr
 /-! ### congr properties of the derivative -/
 
+lemma has_fderiv_within_at_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
+  has_fderiv_within_at f f' s x ↔ has_fderiv_within_at f f' t x :=
+calc has_fderiv_within_at f f' s x ↔ has_fderiv_within_at f f' (s \ {y}) x :
+  (has_fderiv_within_at_diff_singleton _).symm
+... ↔ has_fderiv_within_at f f' (t \ {y}) x :
+  suffices 𝓝[s \ {y}] x = 𝓝[t \ {y}] x, by simp only [has_fderiv_within_at, this],
+  by simpa only [set_eventually_eq_iff_inf_principal, ← nhds_within_inter', diff_eq, inter_comm]
+    using h
+... ↔ has_fderiv_within_at f f' t x : has_fderiv_within_at_diff_singleton _
+
+lemma has_fderiv_within_at_congr_set (h : s =ᶠ[𝓝 x] t) :
+  has_fderiv_within_at f f' s x ↔ has_fderiv_within_at f f' t x :=
+has_fderiv_within_at_congr_set' x $ h.filter_mono inf_le_left
+
+lemma differentiable_within_at_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
+  differentiable_within_at 𝕜 f s x ↔ differentiable_within_at 𝕜 f t x :=
+exists_congr $ λ _, has_fderiv_within_at_congr_set' _ h
+
+lemma differentiable_within_at_congr_set (h : s =ᶠ[𝓝 x] t) :
+  differentiable_within_at 𝕜 f s x ↔ differentiable_within_at 𝕜 f t x :=
+exists_congr $ λ _, has_fderiv_within_at_congr_set h
+
+lemma fderiv_within_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
+  fderiv_within 𝕜 f s x = fderiv_within 𝕜 f t x :=
+by simp only [fderiv_within, has_fderiv_within_at_congr_set' y h]
+
+lemma fderiv_within_congr_set (h : s =ᶠ[𝓝 x] t) :
+  fderiv_within 𝕜 f s x = fderiv_within 𝕜 f t x :=
+fderiv_within_congr_set' x $ h.filter_mono inf_le_left
+
+lemma fderiv_within_eventually_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
+  fderiv_within 𝕜 f s =ᶠ[𝓝 x] fderiv_within 𝕜 f t :=
+(eventually_nhds_nhds_within.2 h).mono $ λ _, fderiv_within_congr_set' y
+
+lemma fderiv_within_eventually_congr_set (h : s =ᶠ[𝓝 x] t) :
+  fderiv_within 𝕜 f s =ᶠ[𝓝 x] fderiv_within 𝕜 f t :=
+fderiv_within_eventually_congr_set' x $ h.filter_mono inf_le_left
+
 theorem filter.eventually_eq.has_strict_fderiv_at_iff
   (h : f₀ =ᶠ[𝓝 x] f₁) (h' : ∀ y, f₀' y = f₁' y) :
   has_strict_fderiv_at f₀ f₀' x ↔ has_strict_fderiv_at f₁ f₁' x :=
@@ -783,17 +787,17 @@ theorem filter.eventually_eq.differentiable_within_at_iff_of_mem (h : f₀ =ᶠ[
   differentiable_within_at 𝕜 f₀ s x ↔ differentiable_within_at 𝕜 f₁ s x :=
 h.differentiable_within_at_iff (h.eq_of_nhds_within hx)
 
-lemma has_fderiv_within_at.congr_mono (h : has_fderiv_within_at f f' s x) (ht : ∀x ∈ t, f₁ x = f x)
+lemma has_fderiv_within_at.congr_mono (h : has_fderiv_within_at f f' s x) (ht : eq_on f₁ f t)
   (hx : f₁ x = f x) (h₁ : t ⊆ s) : has_fderiv_within_at f₁ f' t x :=
 has_fderiv_at_filter.congr_of_eventually_eq (h.mono h₁) (filter.mem_inf_of_right ht) hx
 
-lemma has_fderiv_within_at.congr (h : has_fderiv_within_at f f' s x) (hs : ∀x ∈ s, f₁ x = f x)
+lemma has_fderiv_within_at.congr (h : has_fderiv_within_at f f' s x) (hs : eq_on f₁ f s)
   (hx : f₁ x = f x) : has_fderiv_within_at f₁ f' s x :=
 h.congr_mono hs hx (subset.refl _)
 
-lemma has_fderiv_within_at.congr' (h : has_fderiv_within_at f f' s x) (hs : ∀x ∈ s, f₁ x = f x)
+lemma has_fderiv_within_at.congr' (h : has_fderiv_within_at f f' s x) (hs : eq_on f₁ f s)
   (hx : x ∈ s) : has_fderiv_within_at f₁ f' s x :=
-h.congr hs (hs x hx)
+h.congr hs (hs hx)
 
 lemma has_fderiv_within_at.congr_of_eventually_eq (h : has_fderiv_within_at f f' s x)
   (h₁ : f₁ =ᶠ[𝓝[s] x] f) (hx : f₁ x = f x) : has_fderiv_within_at f₁ f' s x :=
@@ -804,8 +808,8 @@ lemma has_fderiv_at.congr_of_eventually_eq (h : has_fderiv_at f f' x)
 has_fderiv_at_filter.congr_of_eventually_eq h h₁ (mem_of_mem_nhds h₁ : _)
 
 lemma differentiable_within_at.congr_mono (h : differentiable_within_at 𝕜 f s x)
-  (ht : ∀x ∈ t, f₁ x = f x) (hx : f₁ x = f x) (h₁ : t ⊆ s) : differentiable_within_at 𝕜 f₁ t x :=
-(has_fderiv_within_at.congr_mono h.has_fderiv_within_at ht hx h₁).differentiable_within_at
+  (ht : eq_on f₁ f t) (hx : f₁ x = f x) (h₁ : t ⊆ s) : differentiable_within_at 𝕜 f₁ t x :=
+(h.has_fderiv_within_at.congr_mono ht hx h₁).differentiable_within_at
 
 lemma differentiable_within_at.congr (h : differentiable_within_at 𝕜 f s x)
   (ht : ∀x ∈ s, f₁ x = f x) (hx : f₁ x = f x) : differentiable_within_at 𝕜 f₁ s x :=
@@ -834,48 +838,39 @@ lemma differentiable_at.congr_of_eventually_eq (h : differentiable_at 𝕜 f x)
 hL.differentiable_at_iff.2 h
 
 lemma differentiable_within_at.fderiv_within_congr_mono (h : differentiable_within_at 𝕜 f s x)
-  (hs : ∀x ∈ t, f₁ x = f x) (hx : f₁ x = f x) (hxt : unique_diff_within_at 𝕜 t x) (h₁ : t ⊆ s) :
+  (hs : eq_on f₁ f t) (hx : f₁ x = f x) (hxt : unique_diff_within_at 𝕜 t x) (h₁ : t ⊆ s) :
   fderiv_within 𝕜 f₁ t x = fderiv_within 𝕜 f s x :=
 (has_fderiv_within_at.congr_mono h.has_fderiv_within_at hs hx h₁).fderiv_within hxt
 
-lemma filter.eventually_eq.fderiv_within_eq (hs : unique_diff_within_at 𝕜 s x)
-  (hL : f₁ =ᶠ[𝓝[s] x] f) (hx : f₁ x = f x) :
+lemma filter.eventually_eq.fderiv_within_eq (hs : f₁ =ᶠ[𝓝[s] x] f) (hx : f₁ x = f x) :
   fderiv_within 𝕜 f₁ s x = fderiv_within 𝕜 f s x :=
-if h : differentiable_within_at 𝕜 f s x
-then has_fderiv_within_at.fderiv_within (h.has_fderiv_within_at.congr_of_eventually_eq hL hx) hs
-else
-  have h' : ¬ differentiable_within_at 𝕜 f₁ s x,
-  from mt (λ h, h.congr_of_eventually_eq (hL.mono $ λ x, eq.symm) hx.symm) h,
-  by rw [fderiv_within_zero_of_not_differentiable_within_at h,
-    fderiv_within_zero_of_not_differentiable_within_at h']
-
-lemma filter.eventually_eq.fderiv_within_eq_nhds (hs : unique_diff_within_at 𝕜 s x)
-  (hL : f₁ =ᶠ[𝓝 x] f) :
+by simp only [fderiv_within, hs.has_fderiv_within_at_iff hx]
+
+lemma filter.eventually_eq.fderiv_within' (hs : f₁ =ᶠ[𝓝[s] x] f) (ht : t ⊆ s) :
+  fderiv_within 𝕜 f₁ t =ᶠ[𝓝[s] x] fderiv_within 𝕜 f t :=
+(eventually_nhds_within_nhds_within.2 hs).mp $ eventually_mem_nhds_within.mono $ λ y hys hs,
+  filter.eventually_eq.fderiv_within_eq (hs.filter_mono $ nhds_within_mono _ ht)
+    (hs.self_of_nhds_within hys)
+
+protected lemma filter.eventually_eq.fderiv_within (hs : f₁ =ᶠ[𝓝[s] x] f) :
+  fderiv_within 𝕜 f₁ s =ᶠ[𝓝[s] x] fderiv_within 𝕜 f s :=
+hs.fderiv_within' subset.rfl
+
+lemma filter.eventually_eq.fderiv_within_eq_nhds (h : f₁ =ᶠ[𝓝 x] f) :
   fderiv_within 𝕜 f₁ s x = fderiv_within 𝕜 f s x :=
-(show f₁ =ᶠ[𝓝[s] x] f, from nhds_within_le_nhds hL).fderiv_within_eq hs (mem_of_mem_nhds hL : _)
+(h.filter_mono nhds_within_le_nhds).fderiv_within_eq h.self_of_nhds
 
-lemma fderiv_within_congr (hs : unique_diff_within_at 𝕜 s x)
-  (hL : ∀ y ∈ s, f₁ y = f y) (hx : f₁ x = f x) :
+lemma fderiv_within_congr (hs : eq_on f₁ f s) (hx : f₁ x = f x) :
   fderiv_within 𝕜 f₁ s x = fderiv_within 𝕜 f s x :=
-begin
-  apply filter.eventually_eq.fderiv_within_eq hs _ hx,
-  apply mem_of_superset self_mem_nhds_within,
-  exact hL
-end
+(hs.eventually_eq.filter_mono inf_le_right).fderiv_within_eq hx
 
-lemma fderiv_within_congr' (hs : unique_diff_within_at 𝕜 s x)
-  (hL : ∀ y ∈ s, f₁ y = f y) (hx : x ∈ s) :
+lemma fderiv_within_congr' (hs : eq_on f₁ f s) (hx : x ∈ s) :
   fderiv_within 𝕜 f₁ s x = fderiv_within 𝕜 f s x :=
-fderiv_within_congr hs hL (hL x hx)
+fderiv_within_congr hs (hs hx)
 
-lemma filter.eventually_eq.fderiv_eq (hL : f₁ =ᶠ[𝓝 x] f) :
+lemma filter.eventually_eq.fderiv_eq (h : f₁ =ᶠ[𝓝 x] f) :
   fderiv 𝕜 f₁ x = fderiv 𝕜 f x :=
-begin
-  have A : f₁ x = f x := hL.eq_of_nhds,
-  rw [← fderiv_within_univ, ← fderiv_within_univ],
-  rw ← nhds_within_univ at hL,
-  exact hL.fderiv_within_eq unique_diff_within_at_univ A
-end
+by rw [← fderiv_within_univ, ← fderiv_within_univ, h.fderiv_within_eq_nhds]
 
 protected lemma filter.eventually_eq.fderiv (h : f₁ =ᶠ[𝓝 x] f) :
   fderiv 𝕜 f₁ =ᶠ[𝓝 x] fderiv 𝕜 f :=
@@ -1022,12 +1017,13 @@ variables (𝕜 : Type*) {E F : Type*} [nontrivially_normed_field 𝕜] [normed_
 lemma support_fderiv_subset : support (fderiv 𝕜 f) ⊆ tsupport f :=
 begin
   intros x,
-  rw [← not_imp_not],
-  intro h2x,
-  rw [not_mem_tsupport_iff_eventually_eq] at h2x,
-  exact nmem_support.mpr (h2x.fderiv_eq.trans $ fderiv_const_apply 0),
+  rw [← not_imp_not, not_mem_tsupport_iff_eventually_eq, nmem_support],
+  exact λ hx, (hx.fderiv_eq.trans $ fderiv_const_apply 0),
 end
 
+lemma tsupport_fderiv_subset : tsupport (fderiv 𝕜 f) ⊆ tsupport f :=
+closure_minimal (support_fderiv_subset 𝕜) is_closed_closure
+
 lemma has_compact_support.fderiv (hf : has_compact_support f) : has_compact_support (fderiv 𝕜 f) :=
 hf.mono' $ support_fderiv_subset 𝕜

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

bump to nightly-2024-04-06-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

e34029c9

Diff

@@ -280,7 +280,7 @@ theorem HasFDerivWithinAt.lim (h : HasFDerivWithinAt f f' s x) {α : Type _} (l
   have : (fun y => f y - f x - f' (y - x)) =o[𝓝[s] x] fun y => y - x := h
   have : (fun n => f (x + d n) - f x - f' (x + d n - x)) =o[l] fun n => x + d n - x :=
     this.comp_tendsto tendsto_arg
-  have : (fun n => f (x + d n) - f x - f' (d n)) =o[l] d := by simpa only [add_sub_cancel']
+  have : (fun n => f (x + d n) - f x - f' (d n)) =o[l] d := by simpa only [add_sub_cancel_left]
   have : (fun n => c n • (f (x + d n) - f x - f' (d n))) =o[l] fun n => c n • d n :=
     (is_O_refl c l).smul_isLittleO this
   have : (fun n => c n • (f (x + d n) - f x - f' (d n))) =o[l] fun n => (1 : ℝ) :=
@@ -380,7 +380,7 @@ theorem HasFDerivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (h
   exact add_nonneg hC₀ ε0.le
   rw [← map_add_left_nhds_zero x₀, eventually_map] at hlip
   filter_upwards [is_o_iff.1 (hasFDerivAt_iff_isLittleO_nhds_zero.1 hf) ε0, hlip] with y hy hyC
-  rw [add_sub_cancel'] at hyC
+  rw [add_sub_cancel_left] at hyC
   calc
     ‖f' y‖ ≤ ‖f (x₀ + y) - f x₀‖ + ‖f (x₀ + y) - f x₀ - f' y‖ := norm_le_insert _ _
     _ ≤ C * ‖y‖ + ε * ‖y‖ := (add_le_add hyC hy)

bump to nightly-2024-03-17-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

22f01ce4

Diff

@@ -296,7 +296,7 @@ theorem HasFDerivWithinAt.lim (h : HasFDerivWithinAt f f' s x) {α : Type _} (l
     (fun n => c n • (f (x + d n) - f x - f' (d n)) + f' (c n • d n)) = fun n =>
       c n • (f (x + d n) - f x) :=
     by ext n; simp [smul_add, smul_sub]
-  rwa [this, zero_add] at L3 
+  rwa [this, zero_add] at L3
 #align has_fderiv_within_at.lim HasFDerivWithinAt.lim
 -/
 
@@ -378,9 +378,9 @@ theorem HasFDerivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (h
   by
   refine' le_of_forall_pos_le_add fun ε ε0 => op_norm_le_of_nhds_zero _ _
   exact add_nonneg hC₀ ε0.le
-  rw [← map_add_left_nhds_zero x₀, eventually_map] at hlip 
+  rw [← map_add_left_nhds_zero x₀, eventually_map] at hlip
   filter_upwards [is_o_iff.1 (hasFDerivAt_iff_isLittleO_nhds_zero.1 hf) ε0, hlip] with y hy hyC
-  rw [add_sub_cancel'] at hyC 
+  rw [add_sub_cancel'] at hyC
   calc
     ‖f' y‖ ≤ ‖f (x₀ + y) - f x₀‖ + ‖f (x₀ + y) - f x₀ - f' y‖ := norm_le_insert _ _
     _ ≤ C * ‖y‖ + ε * ‖y‖ := (add_le_add hyC hy)
@@ -524,7 +524,7 @@ theorem HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_lt (hf : HasStrictFDe
     (K : ℝ≥0) (hK : ‖f'‖₊ < K) : ∃ s ∈ 𝓝 x, LipschitzOnWith K f s :=
   by
   have := hf.add_is_O_with (f'.is_O_with_comp _ _) hK
-  simp only [sub_add_cancel, is_O_with] at this 
+  simp only [sub_add_cancel, is_O_with] at this
   rcases exists_nhds_square this with ⟨U, Uo, xU, hU⟩
   exact
     ⟨U, Uo.mem_nhds xU, lipschitzOnWith_iff_norm_sub_le.2 fun x hx y hy => hU (mk_mem_prod hx hy)⟩
@@ -559,7 +559,7 @@ theorem HasFDerivAt.lim (hf : HasFDerivAt f f' x) (v : E) {α : Type _} {c : α
 #print HasFDerivAt.unique /-
 theorem HasFDerivAt.unique (h₀ : HasFDerivAt f f₀' x) (h₁ : HasFDerivAt f f₁' x) : f₀' = f₁' :=
   by
-  rw [← hasFDerivWithinAt_univ] at h₀ h₁ 
+  rw [← hasFDerivWithinAt_univ] at h₀ h₁
   exact unique_diff_within_at_univ.eq h₀ h₁
 #align has_fderiv_at.unique HasFDerivAt.unique
 -/
@@ -599,7 +599,7 @@ theorem HasFDerivWithinAt.mono_of_mem (h : HasFDerivWithinAt f f' s x) (ht : s 
 #print HasFDerivWithinAt.hasFDerivAt /-
 theorem HasFDerivWithinAt.hasFDerivAt (h : HasFDerivWithinAt f f' s x) (hs : s ∈ 𝓝 x) :
     HasFDerivAt f f' x := by
-  rwa [← univ_inter s, hasFDerivWithinAt_inter hs, hasFDerivWithinAt_univ] at h 
+  rwa [← univ_inter s, hasFDerivWithinAt_inter hs, hasFDerivWithinAt_univ] at h
 #align has_fderiv_within_at.has_fderiv_at HasFDerivWithinAt.hasFDerivAt
 -/
 
@@ -615,7 +615,7 @@ theorem DifferentiableWithinAt.hasFDerivWithinAt (h : DifferentiableWithinAt 
     HasFDerivWithinAt f (fderivWithin 𝕜 f s x) s x :=
   by
   dsimp only [fderivWithin]
-  dsimp only [DifferentiableWithinAt] at h 
+  dsimp only [DifferentiableWithinAt] at h
   rw [dif_pos h]
   exact Classical.choose_spec h
 #align differentiable_within_at.has_fderiv_within_at DifferentiableWithinAt.hasFDerivWithinAt
@@ -625,7 +625,7 @@ theorem DifferentiableWithinAt.hasFDerivWithinAt (h : DifferentiableWithinAt 
 theorem DifferentiableAt.hasFDerivAt (h : DifferentiableAt 𝕜 f x) :
     HasFDerivAt f (fderiv 𝕜 f x) x := by
   dsimp only [fderiv]
-  dsimp only [DifferentiableAt] at h 
+  dsimp only [DifferentiableAt] at h
   rw [dif_pos h]
   exact Classical.choose_spec h
 #align differentiable_at.has_fderiv_at DifferentiableAt.hasFDerivAt
@@ -686,7 +686,7 @@ theorem HasFDerivWithinAt.fderivWithin (h : HasFDerivWithinAt f f' s x)
 as this statement is empty. -/
 theorem hasFDerivWithinAt_of_nmem_closure (h : x ∉ closure s) : HasFDerivWithinAt f f' s x :=
   by
-  simp only [mem_closure_iff_nhdsWithin_neBot, ne_bot_iff, Ne.def, Classical.not_not] at h 
+  simp only [mem_closure_iff_nhdsWithin_neBot, ne_bot_iff, Ne.def, Classical.not_not] at h
   simp [HasFDerivWithinAt, HasFDerivAtFilter, h, is_o, is_O_with]
 #align has_fderiv_within_at_of_not_mem_closure hasFDerivWithinAt_of_nmem_closure
 -/
@@ -856,7 +856,7 @@ theorem Asymptotics.IsBigO.hasFDerivWithinAt {s : Set E} {x₀ : E} {n : ℕ}
 theorem Asymptotics.IsBigO.hasFDerivAt {x₀ : E} {n : ℕ} (h : f =O[𝓝 x₀] fun x => ‖x - x₀‖ ^ n)
     (hn : 1 < n) : HasFDerivAt f (0 : E →L[𝕜] F) x₀ :=
   by
-  rw [← nhdsWithin_univ] at h 
+  rw [← nhdsWithin_univ] at h
   exact (h.has_fderiv_within_at (mem_univ _) hn).hasFDerivAt_of_univ
 #align asymptotics.is_O.has_fderiv_at Asymptotics.IsBigO.hasFDerivAt
 -/
@@ -891,7 +891,7 @@ theorem HasFDerivAtFilter.tendsto_nhds (hL : L ≤ 𝓝 x) (h : HasFDerivAtFilte
     refine' h.is_O_sub.trans_tendsto (tendsto.mono_left _ hL)
     rw [← sub_self x]; exact tendsto_id.sub tendsto_const_nhds
   have := tendsto.add this tendsto_const_nhds
-  rw [zero_add (f x)] at this 
+  rw [zero_add (f x)] at this
   exact this.congr (by simp only [sub_add_cancel, eq_self_iff_true, forall_const])
 #align has_fderiv_at_filter.tendsto_nhds HasFDerivAtFilter.tendsto_nhds
 -/

bump to nightly-2024-01-11-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

c7c71e9e

Diff

@@ -1204,20 +1204,20 @@ theorem Filter.EventuallyEq.fderivWithin_eq (hs : f₁ =ᶠ[𝓝[s] x] f) (hx :
 #align filter.eventually_eq.fderiv_within_eq Filter.EventuallyEq.fderivWithin_eq
 -/
 
-#print Filter.EventuallyEq.fderiv_within' /-
-theorem Filter.EventuallyEq.fderiv_within' (hs : f₁ =ᶠ[𝓝[s] x] f) (ht : t ⊆ s) :
+#print Filter.EventuallyEq.fderivWithin' /-
+theorem Filter.EventuallyEq.fderivWithin' (hs : f₁ =ᶠ[𝓝[s] x] f) (ht : t ⊆ s) :
     fderivWithin 𝕜 f₁ t =ᶠ[𝓝[s] x] fderivWithin 𝕜 f t :=
   (eventually_nhdsWithin_nhdsWithin.2 hs).mp <|
     eventually_mem_nhdsWithin.mono fun y hys hs =>
       Filter.EventuallyEq.fderivWithin_eq (hs.filter_mono <| nhdsWithin_mono _ ht)
         (hs.self_of_nhdsWithin hys)
-#align filter.eventually_eq.fderiv_within' Filter.EventuallyEq.fderiv_within'
+#align filter.eventually_eq.fderiv_within' Filter.EventuallyEq.fderivWithin'
 -/
 
 #print Filter.EventuallyEq.fderivWithin /-
 protected theorem Filter.EventuallyEq.fderivWithin (hs : f₁ =ᶠ[𝓝[s] x] f) :
     fderivWithin 𝕜 f₁ s =ᶠ[𝓝[s] x] fderivWithin 𝕜 f s :=
-  hs.fderiv_within' Subset.rfl
+  hs.fderivWithin' Subset.rfl
 #align filter.eventually_eq.fderiv_within Filter.EventuallyEq.fderivWithin
 -/

bump to nightly-2023-11-15-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

38c8ceef

Diff

@@ -861,18 +861,18 @@ theorem Asymptotics.IsBigO.hasFDerivAt {x₀ : E} {n : ℕ} (h : f =O[𝓝 x₀]
 #align asymptotics.is_O.has_fderiv_at Asymptotics.IsBigO.hasFDerivAt
 -/
 
-#print HasFDerivWithinAt.isBigO /-
-theorem HasFDerivWithinAt.isBigO {f : E → F} {s : Set E} {x₀ : E} {f' : E →L[𝕜] F}
+#print HasFDerivWithinAt.isBigO_sub /-
+theorem HasFDerivWithinAt.isBigO_sub {f : E → F} {s : Set E} {x₀ : E} {f' : E →L[𝕜] F}
     (h : HasFDerivWithinAt f f' s x₀) : (fun x => f x - f x₀) =O[𝓝[s] x₀] fun x => x - x₀ := by
   simpa only [sub_add_cancel] using h.is_O.add (is_O_sub f' (𝓝[s] x₀) x₀)
-#align has_fderiv_within_at.is_O HasFDerivWithinAt.isBigO
+#align has_fderiv_within_at.is_O HasFDerivWithinAt.isBigO_sub
 -/
 
-#print HasFDerivAt.isBigO /-
-theorem HasFDerivAt.isBigO {f : E → F} {x₀ : E} {f' : E →L[𝕜] F} (h : HasFDerivAt f f' x₀) :
+#print HasFDerivAt.isBigO_sub /-
+theorem HasFDerivAt.isBigO_sub {f : E → F} {x₀ : E} {f' : E →L[𝕜] F} (h : HasFDerivAt f f' x₀) :
     (fun x => f x - f x₀) =O[𝓝 x₀] fun x => x - x₀ := by
   simpa only [sub_add_cancel] using h.is_O.add (is_O_sub f' (𝓝 x₀) x₀)
-#align has_fderiv_at.is_O HasFDerivAt.isBigO
+#align has_fderiv_at.is_O HasFDerivAt.isBigO_sub
 -/
 
 end FderivProperties

bump to nightly-2023-11-09-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

53f15619

Diff

@@ -808,10 +808,10 @@ theorem fderivWithin_univ : fderivWithin 𝕜 f univ = fderiv 𝕜 f :=
 #align fderiv_within_univ fderivWithin_univ
 -/
 
-#print fderivWithin_of_open /-
-theorem fderivWithin_of_open (hs : IsOpen s) (hx : x ∈ s) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
+#print fderivWithin_of_isOpen /-
+theorem fderivWithin_of_isOpen (hs : IsOpen s) (hx : x ∈ s) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
   fderivWithin_of_mem_nhds (hs.mem_nhds hx)
-#align fderiv_within_of_open fderivWithin_of_open
+#align fderiv_within_of_open fderivWithin_of_isOpen
 -/
 
 #print fderivWithin_eq_fderiv /-

bump to nightly-2023-09-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

5655435f

Diff

@@ -3,9 +3,9 @@ Copyright (c) 2019 Jeremy Avigad. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
 -/
-import Mathbin.Analysis.Asymptotics.AsymptoticEquivalent
-import Mathbin.Analysis.Calculus.TangentCone
-import Mathbin.Analysis.NormedSpace.BoundedLinearMaps
+import Analysis.Asymptotics.AsymptoticEquivalent
+import Analysis.Calculus.TangentCone
+import Analysis.NormedSpace.BoundedLinearMaps
 
 #align_import analysis.calculus.fderiv.basic from "leanprover-community/mathlib"@"41bef4ae1254365bc190aee63b947674d2977f01"

bump to nightly-2023-09-16-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/001ffdc42920050657fd45bd2b8bfbec8eaaeb29

57ab21b3

Diff

@@ -681,14 +681,14 @@ theorem HasFDerivWithinAt.fderivWithin (h : HasFDerivWithinAt f f' s x)
 #align has_fderiv_within_at.fderiv_within HasFDerivWithinAt.fderivWithin
 -/
 
-#print hasFDerivWithinAt_of_not_mem_closure /-
+#print hasFDerivWithinAt_of_nmem_closure /-
 /-- If `x` is not in the closure of `s`, then `f` has any derivative at `x` within `s`,
 as this statement is empty. -/
-theorem hasFDerivWithinAt_of_not_mem_closure (h : x ∉ closure s) : HasFDerivWithinAt f f' s x :=
+theorem hasFDerivWithinAt_of_nmem_closure (h : x ∉ closure s) : HasFDerivWithinAt f f' s x :=
   by
   simp only [mem_closure_iff_nhdsWithin_neBot, ne_bot_iff, Ne.def, Classical.not_not] at h 
   simp [HasFDerivWithinAt, HasFDerivAtFilter, h, is_o, is_O_with]
-#align has_fderiv_within_at_of_not_mem_closure hasFDerivWithinAt_of_not_mem_closure
+#align has_fderiv_within_at_of_not_mem_closure hasFDerivWithinAt_of_nmem_closure
 -/
 
 #print DifferentiableWithinAt.mono /-

bump to nightly-2023-09-10-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/442a83d738cb208d3600056c489be16900ba701d

783dcb10

Diff

@@ -388,15 +388,16 @@ theorem HasFDerivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (h
 #align has_fderiv_at.le_of_lip' HasFDerivAt.le_of_lip'
 -/
 
-#print HasFDerivAt.le_of_lip /-
+#print HasFDerivAt.le_of_lipschitzOn /-
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
 on a neighborhood of `x₀` then it its derivative at `x₀` has norm bounded by `C`. -/
-theorem HasFDerivAt.le_of_lip {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (hf : HasFDerivAt f f' x₀)
-    {s : Set E} (hs : s ∈ 𝓝 x₀) {C : ℝ≥0} (hlip : LipschitzOnWith C f s) : ‖f'‖ ≤ C :=
+theorem HasFDerivAt.le_of_lipschitzOn {f : E → F} {f' : E →L[𝕜] F} {x₀ : E}
+    (hf : HasFDerivAt f f' x₀) {s : Set E} (hs : s ∈ 𝓝 x₀) {C : ℝ≥0}
+    (hlip : LipschitzOnWith C f s) : ‖f'‖ ≤ C :=
   by
   refine' hf.le_of_lip' C.coe_nonneg _
   filter_upwards [hs] with x hx using hlip.norm_sub_le hx (mem_of_mem_nhds hs)
-#align has_fderiv_at.le_of_lip HasFDerivAt.le_of_lip
+#align has_fderiv_at.le_of_lip HasFDerivAt.le_of_lipschitzOn
 -/
 
 #print HasFDerivAtFilter.mono /-
@@ -663,14 +664,14 @@ theorem fderiv_eq {f' : E → E →L[𝕜] F} (h : ∀ x, HasFDerivAt f (f' x) x
 #align fderiv_eq fderiv_eq
 -/
 
-#print DifferentiableAt.le_of_lip /-
+#print norm_fderiv_le_of_lipschitzOn /-
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
 on a neighborhood of `x₀` then it its derivative at `x₀` has norm bounded by `C`.
 Version using `fderiv`. -/
-theorem DifferentiableAt.le_of_lip {f : E → F} {x₀ : E} (hf : DifferentiableAt 𝕜 f x₀) {s : Set E}
-    (hs : s ∈ 𝓝 x₀) {C : ℝ≥0} (hlip : LipschitzOnWith C f s) : ‖fderiv 𝕜 f x₀‖ ≤ C :=
-  hf.HasFDerivAt.le_of_lip hs hlip
-#align fderiv_at.le_of_lip DifferentiableAt.le_of_lip
+theorem norm_fderiv_le_of_lipschitzOn {f : E → F} {x₀ : E} (hf : DifferentiableAt 𝕜 f x₀)
+    {s : Set E} (hs : s ∈ 𝓝 x₀) {C : ℝ≥0} (hlip : LipschitzOnWith C f s) : ‖fderiv 𝕜 f x₀‖ ≤ C :=
+  hf.HasFDerivAt.le_of_lipschitzOn hs hlip
+#align fderiv_at.le_of_lip norm_fderiv_le_of_lipschitzOn
 -/
 
 #print HasFDerivWithinAt.fderivWithin /-

bump to nightly-2023-08-26-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

87c26fa8

Diff

@@ -586,11 +586,13 @@ theorem HasFDerivWithinAt.union (hs : HasFDerivWithinAt f f' s x)
 #align has_fderiv_within_at.union HasFDerivWithinAt.union
 -/
 
-#print HasFDerivWithinAt.nhdsWithin /-
-theorem HasFDerivWithinAt.nhdsWithin (h : HasFDerivWithinAt f f' s x) (ht : s ∈ 𝓝[t] x) :
+/- warning: has_fderiv_within_at.nhds_within clashes with has_fderiv_within_at.mono_of_mem -> HasFDerivWithinAt.mono_of_mem
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.nhds_within HasFDerivWithinAt.mono_of_memₓ'. -/
+#print HasFDerivWithinAt.mono_of_mem /-
+theorem HasFDerivWithinAt.mono_of_mem (h : HasFDerivWithinAt f f' s x) (ht : s ∈ 𝓝[t] x) :
     HasFDerivWithinAt f f' t x :=
   (hasFDerivWithinAt_inter' ht).1 (h.mono (inter_subset_right _ _))
-#align has_fderiv_within_at.nhds_within HasFDerivWithinAt.nhdsWithin
+#align has_fderiv_within_at.nhds_within HasFDerivWithinAt.mono_of_mem
 -/
 
 #print HasFDerivWithinAt.hasFDerivAt /-

bump to nightly-2023-08-23-23

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

f612b9e0

Diff

@@ -453,7 +453,7 @@ theorem hasFDerivWithinAt_univ : HasFDerivWithinAt f f' univ x ↔ HasFDerivAt f
 #align has_fderiv_within_at_univ hasFDerivWithinAt_univ
 -/
 
-alias hasFDerivWithinAt_univ ↔ HasFDerivWithinAt.hasFDerivAt_of_univ _
+alias ⟨HasFDerivWithinAt.hasFDerivAt_of_univ, _⟩ := hasFDerivWithinAt_univ
 #align has_fderiv_within_at.has_fderiv_at_of_univ HasFDerivWithinAt.hasFDerivAt_of_univ
 
 #print hasFDerivWithinAt_insert /-
@@ -469,7 +469,7 @@ theorem hasFDerivWithinAt_insert {y : E} :
 #align has_fderiv_within_at_insert hasFDerivWithinAt_insert
 -/
 
-alias hasFDerivWithinAt_insert ↔ HasFDerivWithinAt.of_insert HasFDerivWithinAt.insert'
+alias ⟨HasFDerivWithinAt.of_insert, HasFDerivWithinAt.insert'⟩ := hasFDerivWithinAt_insert
 #align has_fderiv_within_at.of_insert HasFDerivWithinAt.of_insert
 #align has_fderiv_within_at.insert' HasFDerivWithinAt.insert'

bump to nightly-2023-07-20-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

9c56d0dd

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2019 Jeremy Avigad. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
-
-! This file was ported from Lean 3 source module analysis.calculus.fderiv.basic
-! leanprover-community/mathlib commit 41bef4ae1254365bc190aee63b947674d2977f01
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.Asymptotics.AsymptoticEquivalent
 import Mathbin.Analysis.Calculus.TangentCone
 import Mathbin.Analysis.NormedSpace.BoundedLinearMaps
 
+#align_import analysis.calculus.fderiv.basic from "leanprover-community/mathlib"@"41bef4ae1254365bc190aee63b947674d2977f01"
+
 /-!
 # The Fréchet derivative

bump to nightly-2023-07-13-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/b01d6eb9d0a308807af54319b264d0994b91774b

7e6e2608

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
 
 ! This file was ported from Lean 3 source module analysis.calculus.fderiv.basic
-! leanprover-community/mathlib commit 3a69562db5a458db8322b190ec8d9a8bbd8a5b14
+! leanprover-community/mathlib commit 41bef4ae1254365bc190aee63b947674d2977f01
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -956,8 +956,7 @@ theorem HasStrictFDerivAt.isBigO_sub_rev {f' : E ≃L[𝕜] F}
 theorem HasFDerivAtFilter.isBigO_sub_rev (hf : HasFDerivAtFilter f f' x L) {C}
     (hf' : AntilipschitzWith C f') : (fun x' => x' - x) =O[L] fun x' => f x' - f x :=
   have : (fun x' => x' - x) =O[L] fun x' => f' (x' - x) :=
-    isBigO_iff.2
-      ⟨C, eventually_of_forall fun x' => AddMonoidHomClass.bound_of_antilipschitz f' hf' _⟩
+    isBigO_iff.2 ⟨C, eventually_of_forall fun x' => ZeroHomClass.bound_of_antilipschitz f' hf' _⟩
   (this.trans (hf.trans_isBigO this).right_isBigO_add).congr (fun _ => rfl) fun _ =>
     sub_add_cancel _ _
 #align has_fderiv_at_filter.is_O_sub_rev HasFDerivAtFilter.isBigO_sub_rev

bump to nightly-2023-06-13-21

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

829520ac

Diff

@@ -240,21 +240,26 @@ variable {s t : Set E}
 
 variable {L L₁ L₂ : Filter E}
 
+#print fderivWithin_zero_of_not_differentiableWithinAt /-
 theorem fderivWithin_zero_of_not_differentiableWithinAt (h : ¬DifferentiableWithinAt 𝕜 f s x) :
     fderivWithin 𝕜 f s x = 0 :=
   by
   have : ¬∃ f', HasFDerivWithinAt f f' s x := h
   simp [fderivWithin, this]
 #align fderiv_within_zero_of_not_differentiable_within_at fderivWithin_zero_of_not_differentiableWithinAt
+-/
 
+#print fderiv_zero_of_not_differentiableAt /-
 theorem fderiv_zero_of_not_differentiableAt (h : ¬DifferentiableAt 𝕜 f x) : fderiv 𝕜 f x = 0 :=
   by
   have : ¬∃ f', HasFDerivAt f f' x := h
   simp [fderiv, this]
 #align fderiv_zero_of_not_differentiable_at fderiv_zero_of_not_differentiableAt
+-/
 
 section DerivativeUniqueness
 
+#print HasFDerivWithinAt.lim /-
 /- In this section, we discuss the uniqueness of the derivative.
 We prove that the definitions `unique_diff_within_at` and `unique_diff_on` indeed imply the
 uniqueness of the derivative. -/
@@ -296,7 +301,9 @@ theorem HasFDerivWithinAt.lim (h : HasFDerivWithinAt f f' s x) {α : Type _} (l
     by ext n; simp [smul_add, smul_sub]
   rwa [this, zero_add] at L3 
 #align has_fderiv_within_at.lim HasFDerivWithinAt.lim
+-/
 
+#print HasFDerivWithinAt.unique_on /-
 /-- If `f'` and `f₁'` are two derivatives of `f` within `s` at `x`, then they are equal on the
 tangent cone to `s` at `x` -/
 theorem HasFDerivWithinAt.unique_on (hf : HasFDerivWithinAt f f' s x)
@@ -304,17 +311,22 @@ theorem HasFDerivWithinAt.unique_on (hf : HasFDerivWithinAt f f' s x)
   fun y ⟨c, d, dtop, clim, cdlim⟩ =>
   tendsto_nhds_unique (hf.lim atTop dtop clim cdlim) (hg.lim atTop dtop clim cdlim)
 #align has_fderiv_within_at.unique_on HasFDerivWithinAt.unique_on
+-/
 
+#print UniqueDiffWithinAt.eq /-
 /-- `unique_diff_within_at` achieves its goal: it implies the uniqueness of the derivative. -/
 theorem UniqueDiffWithinAt.eq (H : UniqueDiffWithinAt 𝕜 s x) (hf : HasFDerivWithinAt f f' s x)
     (hg : HasFDerivWithinAt f f₁' s x) : f' = f₁' :=
   ContinuousLinearMap.ext_on H.1 (hf.unique_on hg)
 #align unique_diff_within_at.eq UniqueDiffWithinAt.eq
+-/
 
+#print UniqueDiffOn.eq /-
 theorem UniqueDiffOn.eq (H : UniqueDiffOn 𝕜 s) (hx : x ∈ s) (h : HasFDerivWithinAt f f' s x)
     (h₁ : HasFDerivWithinAt f f₁' s x) : f' = f₁' :=
   (H x hx).Eq h h₁
 #align unique_diff_on.eq UniqueDiffOn.eq
+-/
 
 end DerivativeUniqueness
 
@@ -323,6 +335,7 @@ section FderivProperties
 /-! ### Basic properties of the derivative -/
 
 
+#print hasFDerivAtFilter_iff_tendsto /-
 theorem hasFDerivAtFilter_iff_tendsto :
     HasFDerivAtFilter f f' x L ↔
       Tendsto (fun x' => ‖x' - x‖⁻¹ * ‖f x' - f x - f' (x' - x)‖) L (𝓝 0) :=
@@ -333,25 +346,33 @@ theorem hasFDerivAtFilter_iff_tendsto :
   rw [← is_o_norm_left, ← is_o_norm_right, is_o_iff_tendsto h]
   exact tendsto_congr fun _ => div_eq_inv_mul _ _
 #align has_fderiv_at_filter_iff_tendsto hasFDerivAtFilter_iff_tendsto
+-/
 
+#print hasFDerivWithinAt_iff_tendsto /-
 theorem hasFDerivWithinAt_iff_tendsto :
     HasFDerivWithinAt f f' s x ↔
       Tendsto (fun x' => ‖x' - x‖⁻¹ * ‖f x' - f x - f' (x' - x)‖) (𝓝[s] x) (𝓝 0) :=
   hasFDerivAtFilter_iff_tendsto
 #align has_fderiv_within_at_iff_tendsto hasFDerivWithinAt_iff_tendsto
+-/
 
+#print hasFDerivAt_iff_tendsto /-
 theorem hasFDerivAt_iff_tendsto :
     HasFDerivAt f f' x ↔ Tendsto (fun x' => ‖x' - x‖⁻¹ * ‖f x' - f x - f' (x' - x)‖) (𝓝 x) (𝓝 0) :=
   hasFDerivAtFilter_iff_tendsto
 #align has_fderiv_at_iff_tendsto hasFDerivAt_iff_tendsto
+-/
 
+#print hasFDerivAt_iff_isLittleO_nhds_zero /-
 theorem hasFDerivAt_iff_isLittleO_nhds_zero :
     HasFDerivAt f f' x ↔ (fun h : E => f (x + h) - f x - f' h) =o[𝓝 0] fun h => h :=
   by
   rw [HasFDerivAt, HasFDerivAtFilter, ← map_add_left_nhds_zero x, is_o_map]
   simp [(· ∘ ·)]
 #align has_fderiv_at_iff_is_o_nhds_zero hasFDerivAt_iff_isLittleO_nhds_zero
+-/
 
+#print HasFDerivAt.le_of_lip' /-
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
 on a neighborhood of `x₀` then it its derivative at `x₀` has norm bounded by `C`. This version
 only assumes that `‖f x - f x₀‖ ≤ C * ‖x - x₀‖` in a neighborhood of `x`. -/
@@ -368,7 +389,9 @@ theorem HasFDerivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (h
     _ ≤ C * ‖y‖ + ε * ‖y‖ := (add_le_add hyC hy)
     _ = (C + ε) * ‖y‖ := (add_mul _ _ _).symm
 #align has_fderiv_at.le_of_lip' HasFDerivAt.le_of_lip'
+-/
 
+#print HasFDerivAt.le_of_lip /-
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
 on a neighborhood of `x₀` then it its derivative at `x₀` has norm bounded by `C`. -/
 theorem HasFDerivAt.le_of_lip {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (hf : HasFDerivAt f f' x₀)
@@ -377,48 +400,66 @@ theorem HasFDerivAt.le_of_lip {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (hf
   refine' hf.le_of_lip' C.coe_nonneg _
   filter_upwards [hs] with x hx using hlip.norm_sub_le hx (mem_of_mem_nhds hs)
 #align has_fderiv_at.le_of_lip HasFDerivAt.le_of_lip
+-/
 
+#print HasFDerivAtFilter.mono /-
 theorem HasFDerivAtFilter.mono (h : HasFDerivAtFilter f f' x L₂) (hst : L₁ ≤ L₂) :
     HasFDerivAtFilter f f' x L₁ :=
   h.mono hst
 #align has_fderiv_at_filter.mono HasFDerivAtFilter.mono
+-/
 
+#print HasFDerivWithinAt.mono_of_mem /-
 theorem HasFDerivWithinAt.mono_of_mem (h : HasFDerivWithinAt f f' t x) (hst : t ∈ 𝓝[s] x) :
     HasFDerivWithinAt f f' s x :=
   h.mono <| nhdsWithin_le_iff.mpr hst
 #align has_fderiv_within_at.mono_of_mem HasFDerivWithinAt.mono_of_mem
+-/
 
+#print HasFDerivWithinAt.mono /-
 theorem HasFDerivWithinAt.mono (h : HasFDerivWithinAt f f' t x) (hst : s ⊆ t) :
     HasFDerivWithinAt f f' s x :=
   h.mono <| nhdsWithin_mono _ hst
 #align has_fderiv_within_at.mono HasFDerivWithinAt.mono
+-/
 
+#print HasFDerivAt.hasFDerivAtFilter /-
 theorem HasFDerivAt.hasFDerivAtFilter (h : HasFDerivAt f f' x) (hL : L ≤ 𝓝 x) :
     HasFDerivAtFilter f f' x L :=
   h.mono hL
 #align has_fderiv_at.has_fderiv_at_filter HasFDerivAt.hasFDerivAtFilter
+-/
 
+#print HasFDerivAt.hasFDerivWithinAt /-
 theorem HasFDerivAt.hasFDerivWithinAt (h : HasFDerivAt f f' x) : HasFDerivWithinAt f f' s x :=
   h.HasFDerivAtFilter inf_le_left
 #align has_fderiv_at.has_fderiv_within_at HasFDerivAt.hasFDerivWithinAt
+-/
 
+#print HasFDerivWithinAt.differentiableWithinAt /-
 theorem HasFDerivWithinAt.differentiableWithinAt (h : HasFDerivWithinAt f f' s x) :
     DifferentiableWithinAt 𝕜 f s x :=
   ⟨f', h⟩
 #align has_fderiv_within_at.differentiable_within_at HasFDerivWithinAt.differentiableWithinAt
+-/
 
+#print HasFDerivAt.differentiableAt /-
 theorem HasFDerivAt.differentiableAt (h : HasFDerivAt f f' x) : DifferentiableAt 𝕜 f x :=
   ⟨f', h⟩
 #align has_fderiv_at.differentiable_at HasFDerivAt.differentiableAt
+-/
 
+#print hasFDerivWithinAt_univ /-
 @[simp]
 theorem hasFDerivWithinAt_univ : HasFDerivWithinAt f f' univ x ↔ HasFDerivAt f f' x := by
   simp only [HasFDerivWithinAt, nhdsWithin_univ]; rfl
 #align has_fderiv_within_at_univ hasFDerivWithinAt_univ
+-/
 
 alias hasFDerivWithinAt_univ ↔ HasFDerivWithinAt.hasFDerivAt_of_univ _
 #align has_fderiv_within_at.has_fderiv_at_of_univ HasFDerivWithinAt.hasFDerivAt_of_univ
 
+#print hasFDerivWithinAt_insert /-
 theorem hasFDerivWithinAt_insert {y : E} :
     HasFDerivWithinAt f f' (insert y s) x ↔ HasFDerivWithinAt f f' s x :=
   by
@@ -429,42 +470,56 @@ theorem hasFDerivWithinAt_insert {y : E} :
   refine' ⟨fun h => h.mono <| subset_insert y s, fun hf => hf.mono_of_mem _⟩
   simp_rw [nhdsWithin_insert_of_ne h, self_mem_nhdsWithin]
 #align has_fderiv_within_at_insert hasFDerivWithinAt_insert
+-/
 
 alias hasFDerivWithinAt_insert ↔ HasFDerivWithinAt.of_insert HasFDerivWithinAt.insert'
 #align has_fderiv_within_at.of_insert HasFDerivWithinAt.of_insert
 #align has_fderiv_within_at.insert' HasFDerivWithinAt.insert'
 
+#print HasFDerivWithinAt.insert /-
 theorem HasFDerivWithinAt.insert (h : HasFDerivWithinAt f f' s x) :
     HasFDerivWithinAt f f' (insert x s) x :=
   h.insert'
 #align has_fderiv_within_at.insert HasFDerivWithinAt.insert
+-/
 
+#print hasFDerivWithinAt_diff_singleton /-
 theorem hasFDerivWithinAt_diff_singleton (y : E) :
     HasFDerivWithinAt f f' (s \ {y}) x ↔ HasFDerivWithinAt f f' s x := by
   rw [← hasFDerivWithinAt_insert, insert_diff_singleton, hasFDerivWithinAt_insert]
 #align has_fderiv_within_at_diff_singleton hasFDerivWithinAt_diff_singleton
+-/
 
+#print HasStrictFDerivAt.isBigO_sub /-
 theorem HasStrictFDerivAt.isBigO_sub (hf : HasStrictFDerivAt f f' x) :
     (fun p : E × E => f p.1 - f p.2) =O[𝓝 (x, x)] fun p : E × E => p.1 - p.2 :=
   hf.IsBigO.congr_of_sub.2 (f'.isBigO_comp _ _)
 #align has_strict_fderiv_at.is_O_sub HasStrictFDerivAt.isBigO_sub
+-/
 
+#print HasFDerivAtFilter.isBigO_sub /-
 theorem HasFDerivAtFilter.isBigO_sub (h : HasFDerivAtFilter f f' x L) :
     (fun x' => f x' - f x) =O[L] fun x' => x' - x :=
   h.IsBigO.congr_of_sub.2 (f'.isBigO_sub _ _)
 #align has_fderiv_at_filter.is_O_sub HasFDerivAtFilter.isBigO_sub
+-/
 
+#print HasStrictFDerivAt.hasFDerivAt /-
 protected theorem HasStrictFDerivAt.hasFDerivAt (hf : HasStrictFDerivAt f f' x) :
     HasFDerivAt f f' x := by
   rw [HasFDerivAt, HasFDerivAtFilter, is_o_iff]
   exact fun c hc => tendsto_id.prod_mk_nhds tendsto_const_nhds (is_o_iff.1 hf hc)
 #align has_strict_fderiv_at.has_fderiv_at HasStrictFDerivAt.hasFDerivAt
+-/
 
+#print HasStrictFDerivAt.differentiableAt /-
 protected theorem HasStrictFDerivAt.differentiableAt (hf : HasStrictFDerivAt f f' x) :
     DifferentiableAt 𝕜 f x :=
   hf.HasFDerivAt.DifferentiableAt
 #align has_strict_fderiv_at.differentiable_at HasStrictFDerivAt.differentiableAt
+-/
 
+#print HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_lt /-
 /-- If `f` is strictly differentiable at `x` with derivative `f'` and `K > ‖f'‖₊`, then `f` is
 `K`-Lipschitz in a neighborhood of `x`. -/
 theorem HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_lt (hf : HasStrictFDerivAt f f' x)
@@ -476,7 +531,9 @@ theorem HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_lt (hf : HasStrictFDe
   exact
     ⟨U, Uo.mem_nhds xU, lipschitzOnWith_iff_norm_sub_le.2 fun x hx y hy => hU (mk_mem_prod hx hy)⟩
 #align has_strict_fderiv_at.exists_lipschitz_on_with_of_nnnorm_lt HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_lt
+-/
 
+#print HasStrictFDerivAt.exists_lipschitzOnWith /-
 /-- If `f` is strictly differentiable at `x` with derivative `f'`, then `f` is Lipschitz in a
 neighborhood of `x`. See also `has_strict_fderiv_at.exists_lipschitz_on_with_of_nnnorm_lt` for a
 more precise statement. -/
@@ -484,7 +541,9 @@ theorem HasStrictFDerivAt.exists_lipschitzOnWith (hf : HasStrictFDerivAt f f' x)
     ∃ K, ∃ s ∈ 𝓝 x, LipschitzOnWith K f s :=
   (exists_gt _).imp hf.exists_lipschitzOnWith_of_nnnorm_lt
 #align has_strict_fderiv_at.exists_lipschitz_on_with HasStrictFDerivAt.exists_lipschitzOnWith
+-/
 
+#print HasFDerivAt.lim /-
 /-- Directional derivative agrees with `has_fderiv`. -/
 theorem HasFDerivAt.lim (hf : HasFDerivAt f f' x) (v : E) {α : Type _} {c : α → 𝕜} {l : Filter α}
     (hc : Tendsto (fun n => ‖c n‖) l atTop) :
@@ -497,45 +556,61 @@ theorem HasFDerivAt.lim (hf : HasFDerivAt f f' x) (v : E) {α : Type _} {c : α
   dsimp only
   rw [← mul_smul, mul_inv_cancel hy, one_smul]
 #align has_fderiv_at.lim HasFDerivAt.lim
+-/
 
+#print HasFDerivAt.unique /-
 theorem HasFDerivAt.unique (h₀ : HasFDerivAt f f₀' x) (h₁ : HasFDerivAt f f₁' x) : f₀' = f₁' :=
   by
   rw [← hasFDerivWithinAt_univ] at h₀ h₁ 
   exact unique_diff_within_at_univ.eq h₀ h₁
 #align has_fderiv_at.unique HasFDerivAt.unique
+-/
 
+#print hasFDerivWithinAt_inter' /-
 theorem hasFDerivWithinAt_inter' (h : t ∈ 𝓝[s] x) :
     HasFDerivWithinAt f f' (s ∩ t) x ↔ HasFDerivWithinAt f f' s x := by
   simp [HasFDerivWithinAt, nhdsWithin_restrict'' s h]
 #align has_fderiv_within_at_inter' hasFDerivWithinAt_inter'
+-/
 
+#print hasFDerivWithinAt_inter /-
 theorem hasFDerivWithinAt_inter (h : t ∈ 𝓝 x) :
     HasFDerivWithinAt f f' (s ∩ t) x ↔ HasFDerivWithinAt f f' s x := by
   simp [HasFDerivWithinAt, nhdsWithin_restrict' s h]
 #align has_fderiv_within_at_inter hasFDerivWithinAt_inter
+-/
 
+#print HasFDerivWithinAt.union /-
 theorem HasFDerivWithinAt.union (hs : HasFDerivWithinAt f f' s x)
     (ht : HasFDerivWithinAt f f' t x) : HasFDerivWithinAt f f' (s ∪ t) x :=
   by
   simp only [HasFDerivWithinAt, nhdsWithin_union]
   exact hs.sup ht
 #align has_fderiv_within_at.union HasFDerivWithinAt.union
+-/
 
+#print HasFDerivWithinAt.nhdsWithin /-
 theorem HasFDerivWithinAt.nhdsWithin (h : HasFDerivWithinAt f f' s x) (ht : s ∈ 𝓝[t] x) :
     HasFDerivWithinAt f f' t x :=
   (hasFDerivWithinAt_inter' ht).1 (h.mono (inter_subset_right _ _))
 #align has_fderiv_within_at.nhds_within HasFDerivWithinAt.nhdsWithin
+-/
 
+#print HasFDerivWithinAt.hasFDerivAt /-
 theorem HasFDerivWithinAt.hasFDerivAt (h : HasFDerivWithinAt f f' s x) (hs : s ∈ 𝓝 x) :
     HasFDerivAt f f' x := by
   rwa [← univ_inter s, hasFDerivWithinAt_inter hs, hasFDerivWithinAt_univ] at h 
 #align has_fderiv_within_at.has_fderiv_at HasFDerivWithinAt.hasFDerivAt
+-/
 
+#print DifferentiableWithinAt.differentiableAt /-
 theorem DifferentiableWithinAt.differentiableAt (h : DifferentiableWithinAt 𝕜 f s x)
     (hs : s ∈ 𝓝 x) : DifferentiableAt 𝕜 f x :=
   h.imp fun f' hf' => hf'.HasFDerivAt hs
 #align differentiable_within_at.differentiable_at DifferentiableWithinAt.differentiableAt
+-/
 
+#print DifferentiableWithinAt.hasFDerivWithinAt /-
 theorem DifferentiableWithinAt.hasFDerivWithinAt (h : DifferentiableWithinAt 𝕜 f s x) :
     HasFDerivWithinAt f (fderivWithin 𝕜 f s x) s x :=
   by
@@ -544,7 +619,9 @@ theorem DifferentiableWithinAt.hasFDerivWithinAt (h : DifferentiableWithinAt 
   rw [dif_pos h]
   exact Classical.choose_spec h
 #align differentiable_within_at.has_fderiv_within_at DifferentiableWithinAt.hasFDerivWithinAt
+-/
 
+#print DifferentiableAt.hasFDerivAt /-
 theorem DifferentiableAt.hasFDerivAt (h : DifferentiableAt 𝕜 f x) :
     HasFDerivAt f (fderiv 𝕜 f x) x := by
   dsimp only [fderiv]
@@ -552,30 +629,42 @@ theorem DifferentiableAt.hasFDerivAt (h : DifferentiableAt 𝕜 f x) :
   rw [dif_pos h]
   exact Classical.choose_spec h
 #align differentiable_at.has_fderiv_at DifferentiableAt.hasFDerivAt
+-/
 
+#print DifferentiableOn.hasFDerivAt /-
 theorem DifferentiableOn.hasFDerivAt (h : DifferentiableOn 𝕜 f s) (hs : s ∈ 𝓝 x) :
     HasFDerivAt f (fderiv 𝕜 f x) x :=
   ((h x (mem_of_mem_nhds hs)).DifferentiableAt hs).HasFDerivAt
 #align differentiable_on.has_fderiv_at DifferentiableOn.hasFDerivAt
+-/
 
+#print DifferentiableOn.differentiableAt /-
 theorem DifferentiableOn.differentiableAt (h : DifferentiableOn 𝕜 f s) (hs : s ∈ 𝓝 x) :
     DifferentiableAt 𝕜 f x :=
   (h.HasFDerivAt hs).DifferentiableAt
 #align differentiable_on.differentiable_at DifferentiableOn.differentiableAt
+-/
 
+#print DifferentiableOn.eventually_differentiableAt /-
 theorem DifferentiableOn.eventually_differentiableAt (h : DifferentiableOn 𝕜 f s) (hs : s ∈ 𝓝 x) :
     ∀ᶠ y in 𝓝 x, DifferentiableAt 𝕜 f y :=
   (eventually_eventually_nhds.2 hs).mono fun y => h.DifferentiableAt
 #align differentiable_on.eventually_differentiable_at DifferentiableOn.eventually_differentiableAt
+-/
 
+#print HasFDerivAt.fderiv /-
 theorem HasFDerivAt.fderiv (h : HasFDerivAt f f' x) : fderiv 𝕜 f x = f' := by ext;
   rw [h.unique h.differentiable_at.has_fderiv_at]
 #align has_fderiv_at.fderiv HasFDerivAt.fderiv
+-/
 
+#print fderiv_eq /-
 theorem fderiv_eq {f' : E → E →L[𝕜] F} (h : ∀ x, HasFDerivAt f (f' x) x) : fderiv 𝕜 f = f' :=
   funext fun x => (h x).fderiv
 #align fderiv_eq fderiv_eq
+-/
 
+#print DifferentiableAt.le_of_lip /-
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
 on a neighborhood of `x₀` then it its derivative at `x₀` has norm bounded by `C`.
 Version using `fderiv`. -/
@@ -583,12 +672,16 @@ theorem DifferentiableAt.le_of_lip {f : E → F} {x₀ : E} (hf : Differentiable
     (hs : s ∈ 𝓝 x₀) {C : ℝ≥0} (hlip : LipschitzOnWith C f s) : ‖fderiv 𝕜 f x₀‖ ≤ C :=
   hf.HasFDerivAt.le_of_lip hs hlip
 #align fderiv_at.le_of_lip DifferentiableAt.le_of_lip
+-/
 
+#print HasFDerivWithinAt.fderivWithin /-
 theorem HasFDerivWithinAt.fderivWithin (h : HasFDerivWithinAt f f' s x)
     (hxs : UniqueDiffWithinAt 𝕜 s x) : fderivWithin 𝕜 f s x = f' :=
   (hxs.Eq h h.DifferentiableWithinAt.HasFDerivWithinAt).symm
 #align has_fderiv_within_at.fderiv_within HasFDerivWithinAt.fderivWithin
+-/
 
+#print hasFDerivWithinAt_of_not_mem_closure /-
 /-- If `x` is not in the closure of `s`, then `f` has any derivative at `x` within `s`,
 as this statement is empty. -/
 theorem hasFDerivWithinAt_of_not_mem_closure (h : x ∉ closure s) : HasFDerivWithinAt f f' s x :=
@@ -596,59 +689,83 @@ theorem hasFDerivWithinAt_of_not_mem_closure (h : x ∉ closure s) : HasFDerivWi
   simp only [mem_closure_iff_nhdsWithin_neBot, ne_bot_iff, Ne.def, Classical.not_not] at h 
   simp [HasFDerivWithinAt, HasFDerivAtFilter, h, is_o, is_O_with]
 #align has_fderiv_within_at_of_not_mem_closure hasFDerivWithinAt_of_not_mem_closure
+-/
 
+#print DifferentiableWithinAt.mono /-
 theorem DifferentiableWithinAt.mono (h : DifferentiableWithinAt 𝕜 f t x) (st : s ⊆ t) :
     DifferentiableWithinAt 𝕜 f s x := by
   rcases h with ⟨f', hf'⟩
   exact ⟨f', hf'.mono st⟩
 #align differentiable_within_at.mono DifferentiableWithinAt.mono
+-/
 
+#print DifferentiableWithinAt.mono_of_mem /-
 theorem DifferentiableWithinAt.mono_of_mem (h : DifferentiableWithinAt 𝕜 f s x) {t : Set E}
     (hst : s ∈ 𝓝[t] x) : DifferentiableWithinAt 𝕜 f t x :=
   (h.HasFDerivWithinAt.mono_of_mem hst).DifferentiableWithinAt
 #align differentiable_within_at.mono_of_mem DifferentiableWithinAt.mono_of_mem
+-/
 
+#print differentiableWithinAt_univ /-
 theorem differentiableWithinAt_univ : DifferentiableWithinAt 𝕜 f univ x ↔ DifferentiableAt 𝕜 f x :=
   by simp only [DifferentiableWithinAt, hasFDerivWithinAt_univ, DifferentiableAt]
 #align differentiable_within_at_univ differentiableWithinAt_univ
+-/
 
+#print differentiableWithinAt_inter /-
 theorem differentiableWithinAt_inter (ht : t ∈ 𝓝 x) :
     DifferentiableWithinAt 𝕜 f (s ∩ t) x ↔ DifferentiableWithinAt 𝕜 f s x := by
   simp only [DifferentiableWithinAt, hasFDerivWithinAt_inter ht]
 #align differentiable_within_at_inter differentiableWithinAt_inter
+-/
 
+#print differentiableWithinAt_inter' /-
 theorem differentiableWithinAt_inter' (ht : t ∈ 𝓝[s] x) :
     DifferentiableWithinAt 𝕜 f (s ∩ t) x ↔ DifferentiableWithinAt 𝕜 f s x := by
   simp only [DifferentiableWithinAt, hasFDerivWithinAt_inter' ht]
 #align differentiable_within_at_inter' differentiableWithinAt_inter'
+-/
 
+#print DifferentiableAt.differentiableWithinAt /-
 theorem DifferentiableAt.differentiableWithinAt (h : DifferentiableAt 𝕜 f x) :
     DifferentiableWithinAt 𝕜 f s x :=
   (differentiableWithinAt_univ.2 h).mono (subset_univ _)
 #align differentiable_at.differentiable_within_at DifferentiableAt.differentiableWithinAt
+-/
 
+#print Differentiable.differentiableAt /-
 theorem Differentiable.differentiableAt (h : Differentiable 𝕜 f) : DifferentiableAt 𝕜 f x :=
   h x
 #align differentiable.differentiable_at Differentiable.differentiableAt
+-/
 
+#print DifferentiableAt.fderivWithin /-
 theorem DifferentiableAt.fderivWithin (h : DifferentiableAt 𝕜 f x)
     (hxs : UniqueDiffWithinAt 𝕜 s x) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
   h.HasFDerivAt.HasFDerivWithinAt.fderivWithin hxs
 #align differentiable_at.fderiv_within DifferentiableAt.fderivWithin
+-/
 
+#print DifferentiableOn.mono /-
 theorem DifferentiableOn.mono (h : DifferentiableOn 𝕜 f t) (st : s ⊆ t) : DifferentiableOn 𝕜 f s :=
   fun x hx => (h x (st hx)).mono st
 #align differentiable_on.mono DifferentiableOn.mono
+-/
 
+#print differentiableOn_univ /-
 theorem differentiableOn_univ : DifferentiableOn 𝕜 f univ ↔ Differentiable 𝕜 f := by
   simp only [DifferentiableOn, Differentiable, differentiableWithinAt_univ, mem_univ,
     forall_true_left]
 #align differentiable_on_univ differentiableOn_univ
+-/
 
+#print Differentiable.differentiableOn /-
 theorem Differentiable.differentiableOn (h : Differentiable 𝕜 f) : DifferentiableOn 𝕜 f s :=
   (differentiableOn_univ.2 h).mono (subset_univ _)
 #align differentiable.differentiable_on Differentiable.differentiableOn
+-/
 
+#print differentiableOn_of_locally_differentiableOn /-
 theorem differentiableOn_of_locally_differentiableOn
     (h : ∀ x ∈ s, ∃ u, IsOpen u ∧ x ∈ u ∧ DifferentiableOn 𝕜 f (s ∩ u)) : DifferentiableOn 𝕜 f s :=
   by
@@ -656,40 +773,55 @@ theorem differentiableOn_of_locally_differentiableOn
   rcases h x xs with ⟨t, t_open, xt, ht⟩
   exact (differentiableWithinAt_inter (IsOpen.mem_nhds t_open xt)).1 (ht x ⟨xs, xt⟩)
 #align differentiable_on_of_locally_differentiable_on differentiableOn_of_locally_differentiableOn
+-/
 
+#print fderivWithin_of_mem /-
 theorem fderivWithin_of_mem (st : t ∈ 𝓝[s] x) (ht : UniqueDiffWithinAt 𝕜 s x)
     (h : DifferentiableWithinAt 𝕜 f t x) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
   ((DifferentiableWithinAt.hasFDerivWithinAt h).mono_of_mem st).fderivWithin ht
 #align fderiv_within_of_mem fderivWithin_of_mem
+-/
 
+#print fderivWithin_subset /-
 theorem fderivWithin_subset (st : s ⊆ t) (ht : UniqueDiffWithinAt 𝕜 s x)
     (h : DifferentiableWithinAt 𝕜 f t x) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
   fderivWithin_of_mem (nhdsWithin_mono _ st self_mem_nhdsWithin) ht h
 #align fderiv_within_subset fderivWithin_subset
+-/
 
+#print fderivWithin_inter /-
 theorem fderivWithin_inter (ht : t ∈ 𝓝 x) : fderivWithin 𝕜 f (s ∩ t) x = fderivWithin 𝕜 f s x := by
   simp only [fderivWithin, hasFDerivWithinAt_inter ht]
 #align fderiv_within_inter fderivWithin_inter
+-/
 
+#print fderivWithin_of_mem_nhds /-
 theorem fderivWithin_of_mem_nhds (h : s ∈ 𝓝 x) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x := by
   simp only [fderiv, fderivWithin, HasFDerivAt, HasFDerivWithinAt, nhdsWithin_eq_nhds.2 h]
 #align fderiv_within_of_mem_nhds fderivWithin_of_mem_nhds
+-/
 
+#print fderivWithin_univ /-
 @[simp]
 theorem fderivWithin_univ : fderivWithin 𝕜 f univ = fderiv 𝕜 f :=
   funext fun _ => fderivWithin_of_mem_nhds univ_mem
 #align fderiv_within_univ fderivWithin_univ
+-/
 
+#print fderivWithin_of_open /-
 theorem fderivWithin_of_open (hs : IsOpen s) (hx : x ∈ s) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
   fderivWithin_of_mem_nhds (hs.mem_nhds hx)
 #align fderiv_within_of_open fderivWithin_of_open
+-/
 
+#print fderivWithin_eq_fderiv /-
 theorem fderivWithin_eq_fderiv (hs : UniqueDiffWithinAt 𝕜 s x) (h : DifferentiableAt 𝕜 f x) :
     fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
   by
   rw [← fderivWithin_univ]
   exact fderivWithin_subset (subset_univ _) hs h.differentiable_within_at
 #align fderiv_within_eq_fderiv fderivWithin_eq_fderiv
+-/
 
 #print fderiv_mem_iff /-
 theorem fderiv_mem_iff {f : E → F} {s : Set (E →L[𝕜] F)} {x : E} :
@@ -699,6 +831,7 @@ theorem fderiv_mem_iff {f : E → F} {s : Set (E →L[𝕜] F)} {x : E} :
 #align fderiv_mem_iff fderiv_mem_iff
 -/
 
+#print fderivWithin_mem_iff /-
 theorem fderivWithin_mem_iff {f : E → F} {t : Set E} {s : Set (E →L[𝕜] F)} {x : E} :
     fderivWithin 𝕜 f t x ∈ s ↔
       DifferentiableWithinAt 𝕜 f t x ∧ fderivWithin 𝕜 f t x ∈ s ∨
@@ -707,7 +840,9 @@ theorem fderivWithin_mem_iff {f : E → F} {t : Set E} {s : Set (E →L[𝕜] F)
   by_cases hx : DifferentiableWithinAt 𝕜 f t x <;>
     simp [fderivWithin_zero_of_not_differentiableWithinAt, *]
 #align fderiv_within_mem_iff fderivWithin_mem_iff
+-/
 
+#print Asymptotics.IsBigO.hasFDerivWithinAt /-
 theorem Asymptotics.IsBigO.hasFDerivWithinAt {s : Set E} {x₀ : E} {n : ℕ}
     (h : f =O[𝓝[s] x₀] fun x => ‖x - x₀‖ ^ n) (hx₀ : x₀ ∈ s) (hn : 1 < n) :
     HasFDerivWithinAt f (0 : E →L[𝕜] F) s x₀ := by
@@ -715,23 +850,30 @@ theorem Asymptotics.IsBigO.hasFDerivWithinAt {s : Set E} {x₀ : E} {n : ℕ}
     h.eq_zero_of_norm_pow_within hx₀ <| zero_lt_one.trans hn, zero_apply, sub_zero,
     h.trans_is_o ((is_o_pow_sub_sub x₀ hn).mono nhdsWithin_le_nhds)]
 #align asymptotics.is_O.has_fderiv_within_at Asymptotics.IsBigO.hasFDerivWithinAt
+-/
 
+#print Asymptotics.IsBigO.hasFDerivAt /-
 theorem Asymptotics.IsBigO.hasFDerivAt {x₀ : E} {n : ℕ} (h : f =O[𝓝 x₀] fun x => ‖x - x₀‖ ^ n)
     (hn : 1 < n) : HasFDerivAt f (0 : E →L[𝕜] F) x₀ :=
   by
   rw [← nhdsWithin_univ] at h 
   exact (h.has_fderiv_within_at (mem_univ _) hn).hasFDerivAt_of_univ
 #align asymptotics.is_O.has_fderiv_at Asymptotics.IsBigO.hasFDerivAt
+-/
 
+#print HasFDerivWithinAt.isBigO /-
 theorem HasFDerivWithinAt.isBigO {f : E → F} {s : Set E} {x₀ : E} {f' : E →L[𝕜] F}
     (h : HasFDerivWithinAt f f' s x₀) : (fun x => f x - f x₀) =O[𝓝[s] x₀] fun x => x - x₀ := by
   simpa only [sub_add_cancel] using h.is_O.add (is_O_sub f' (𝓝[s] x₀) x₀)
 #align has_fderiv_within_at.is_O HasFDerivWithinAt.isBigO
+-/
 
+#print HasFDerivAt.isBigO /-
 theorem HasFDerivAt.isBigO {f : E → F} {x₀ : E} {f' : E →L[𝕜] F} (h : HasFDerivAt f f' x₀) :
     (fun x => f x - f x₀) =O[𝓝 x₀] fun x => x - x₀ := by
   simpa only [sub_add_cancel] using h.is_O.add (is_O_sub f' (𝓝 x₀) x₀)
 #align has_fderiv_at.is_O HasFDerivAt.isBigO
+-/
 
 end FderivProperties
 
@@ -740,6 +882,7 @@ section Continuous
 /-! ### Deducing continuity from differentiability -/
 
 
+#print HasFDerivAtFilter.tendsto_nhds /-
 theorem HasFDerivAtFilter.tendsto_nhds (hL : L ≤ 𝓝 x) (h : HasFDerivAtFilter f f' x L) :
     Tendsto f L (𝓝 (f x)) :=
   by
@@ -751,47 +894,65 @@ theorem HasFDerivAtFilter.tendsto_nhds (hL : L ≤ 𝓝 x) (h : HasFDerivAtFilte
   rw [zero_add (f x)] at this 
   exact this.congr (by simp only [sub_add_cancel, eq_self_iff_true, forall_const])
 #align has_fderiv_at_filter.tendsto_nhds HasFDerivAtFilter.tendsto_nhds
+-/
 
+#print HasFDerivWithinAt.continuousWithinAt /-
 theorem HasFDerivWithinAt.continuousWithinAt (h : HasFDerivWithinAt f f' s x) :
     ContinuousWithinAt f s x :=
   HasFDerivAtFilter.tendsto_nhds inf_le_left h
 #align has_fderiv_within_at.continuous_within_at HasFDerivWithinAt.continuousWithinAt
+-/
 
+#print HasFDerivAt.continuousAt /-
 theorem HasFDerivAt.continuousAt (h : HasFDerivAt f f' x) : ContinuousAt f x :=
   HasFDerivAtFilter.tendsto_nhds le_rfl h
 #align has_fderiv_at.continuous_at HasFDerivAt.continuousAt
+-/
 
+#print DifferentiableWithinAt.continuousWithinAt /-
 theorem DifferentiableWithinAt.continuousWithinAt (h : DifferentiableWithinAt 𝕜 f s x) :
     ContinuousWithinAt f s x :=
   let ⟨f', hf'⟩ := h
   hf'.ContinuousWithinAt
 #align differentiable_within_at.continuous_within_at DifferentiableWithinAt.continuousWithinAt
+-/
 
+#print DifferentiableAt.continuousAt /-
 theorem DifferentiableAt.continuousAt (h : DifferentiableAt 𝕜 f x) : ContinuousAt f x :=
   let ⟨f', hf'⟩ := h
   hf'.ContinuousAt
 #align differentiable_at.continuous_at DifferentiableAt.continuousAt
+-/
 
+#print DifferentiableOn.continuousOn /-
 theorem DifferentiableOn.continuousOn (h : DifferentiableOn 𝕜 f s) : ContinuousOn f s := fun x hx =>
   (h x hx).ContinuousWithinAt
 #align differentiable_on.continuous_on DifferentiableOn.continuousOn
+-/
 
+#print Differentiable.continuous /-
 theorem Differentiable.continuous (h : Differentiable 𝕜 f) : Continuous f :=
   continuous_iff_continuousAt.2 fun x => (h x).ContinuousAt
 #align differentiable.continuous Differentiable.continuous
+-/
 
+#print HasStrictFDerivAt.continuousAt /-
 protected theorem HasStrictFDerivAt.continuousAt (hf : HasStrictFDerivAt f f' x) :
     ContinuousAt f x :=
   hf.HasFDerivAt.ContinuousAt
 #align has_strict_fderiv_at.continuous_at HasStrictFDerivAt.continuousAt
+-/
 
+#print HasStrictFDerivAt.isBigO_sub_rev /-
 theorem HasStrictFDerivAt.isBigO_sub_rev {f' : E ≃L[𝕜] F}
     (hf : HasStrictFDerivAt f (f' : E →L[𝕜] F) x) :
     (fun p : E × E => p.1 - p.2) =O[𝓝 (x, x)] fun p : E × E => f p.1 - f p.2 :=
   ((f'.isBigO_comp_rev _ _).trans (hf.trans_isBigO (f'.isBigO_comp_rev _ _)).right_isBigO_add).congr
     (fun _ => rfl) fun _ => sub_add_cancel _ _
 #align has_strict_fderiv_at.is_O_sub_rev HasStrictFDerivAt.isBigO_sub_rev
+-/
 
+#print HasFDerivAtFilter.isBigO_sub_rev /-
 theorem HasFDerivAtFilter.isBigO_sub_rev (hf : HasFDerivAtFilter f f' x L) {C}
     (hf' : AntilipschitzWith C f') : (fun x' => x' - x) =O[L] fun x' => f x' - f x :=
   have : (fun x' => x' - x) =O[L] fun x' => f' (x' - x) :=
@@ -800,6 +961,7 @@ theorem HasFDerivAtFilter.isBigO_sub_rev (hf : HasFDerivAtFilter f f' x L) {C}
   (this.trans (hf.trans_isBigO this).right_isBigO_add).congr (fun _ => rfl) fun _ =>
     sub_add_cancel _ _
 #align has_fderiv_at_filter.is_O_sub_rev HasFDerivAtFilter.isBigO_sub_rev
+-/
 
 end Continuous
 
@@ -808,6 +970,7 @@ section congr
 /-! ### congr properties of the derivative -/
 
 
+#print hasFDerivWithinAt_congr_set' /-
 theorem hasFDerivWithinAt_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
     HasFDerivWithinAt f f' s x ↔ HasFDerivWithinAt f f' t x :=
   calc
@@ -820,41 +983,57 @@ theorem hasFDerivWithinAt_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
         inter_comm] using h
     _ ↔ HasFDerivWithinAt f f' t x := hasFDerivWithinAt_diff_singleton _
 #align has_fderiv_within_at_congr_set' hasFDerivWithinAt_congr_set'
+-/
 
+#print hasFDerivWithinAt_congr_set /-
 theorem hasFDerivWithinAt_congr_set (h : s =ᶠ[𝓝 x] t) :
     HasFDerivWithinAt f f' s x ↔ HasFDerivWithinAt f f' t x :=
   hasFDerivWithinAt_congr_set' x <| h.filter_mono inf_le_left
 #align has_fderiv_within_at_congr_set hasFDerivWithinAt_congr_set
+-/
 
+#print differentiableWithinAt_congr_set' /-
 theorem differentiableWithinAt_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
     DifferentiableWithinAt 𝕜 f s x ↔ DifferentiableWithinAt 𝕜 f t x :=
   exists_congr fun _ => hasFDerivWithinAt_congr_set' _ h
 #align differentiable_within_at_congr_set' differentiableWithinAt_congr_set'
+-/
 
+#print differentiableWithinAt_congr_set /-
 theorem differentiableWithinAt_congr_set (h : s =ᶠ[𝓝 x] t) :
     DifferentiableWithinAt 𝕜 f s x ↔ DifferentiableWithinAt 𝕜 f t x :=
   exists_congr fun _ => hasFDerivWithinAt_congr_set h
 #align differentiable_within_at_congr_set differentiableWithinAt_congr_set
+-/
 
+#print fderivWithin_congr_set' /-
 theorem fderivWithin_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
     fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x := by
   simp only [fderivWithin, hasFDerivWithinAt_congr_set' y h]
 #align fderiv_within_congr_set' fderivWithin_congr_set'
+-/
 
+#print fderivWithin_congr_set /-
 theorem fderivWithin_congr_set (h : s =ᶠ[𝓝 x] t) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
   fderivWithin_congr_set' x <| h.filter_mono inf_le_left
 #align fderiv_within_congr_set fderivWithin_congr_set
+-/
 
+#print fderivWithin_eventually_congr_set' /-
 theorem fderivWithin_eventually_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
     fderivWithin 𝕜 f s =ᶠ[𝓝 x] fderivWithin 𝕜 f t :=
   (eventually_nhds_nhdsWithin.2 h).mono fun _ => fderivWithin_congr_set' y
 #align fderiv_within_eventually_congr_set' fderivWithin_eventually_congr_set'
+-/
 
+#print fderivWithin_eventually_congr_set /-
 theorem fderivWithin_eventually_congr_set (h : s =ᶠ[𝓝 x] t) :
     fderivWithin 𝕜 f s =ᶠ[𝓝 x] fderivWithin 𝕜 f t :=
   fderivWithin_eventually_congr_set' x <| h.filter_mono inf_le_left
 #align fderiv_within_eventually_congr_set fderivWithin_eventually_congr_set
+-/
 
+#print Filter.EventuallyEq.hasStrictFDerivAt_iff /-
 theorem Filter.EventuallyEq.hasStrictFDerivAt_iff (h : f₀ =ᶠ[𝓝 x] f₁) (h' : ∀ y, f₀' y = f₁' y) :
     HasStrictFDerivAt f₀ f₀' x ↔ HasStrictFDerivAt f₁ f₁' x :=
   by
@@ -862,123 +1041,171 @@ theorem Filter.EventuallyEq.hasStrictFDerivAt_iff (h : f₀ =ᶠ[𝓝 x] f₁) (
   rintro p ⟨hp₁, hp₂⟩
   simp only [*]
 #align filter.eventually_eq.has_strict_fderiv_at_iff Filter.EventuallyEq.hasStrictFDerivAt_iff
+-/
 
+#print HasStrictFDerivAt.congr_of_eventuallyEq /-
 theorem HasStrictFDerivAt.congr_of_eventuallyEq (h : HasStrictFDerivAt f f' x) (h₁ : f =ᶠ[𝓝 x] f₁) :
     HasStrictFDerivAt f₁ f' x :=
   (h₁.hasStrictFDerivAt_iff fun _ => rfl).1 h
 #align has_strict_fderiv_at.congr_of_eventually_eq HasStrictFDerivAt.congr_of_eventuallyEq
+-/
 
+#print Filter.EventuallyEq.hasFDerivAtFilter_iff /-
 theorem Filter.EventuallyEq.hasFDerivAtFilter_iff (h₀ : f₀ =ᶠ[L] f₁) (hx : f₀ x = f₁ x)
     (h₁ : ∀ x, f₀' x = f₁' x) : HasFDerivAtFilter f₀ f₀' x L ↔ HasFDerivAtFilter f₁ f₁' x L :=
   isLittleO_congr (h₀.mono fun y hy => by simp only [hy, h₁, hx])
     (eventually_of_forall fun _ => rfl)
 #align filter.eventually_eq.has_fderiv_at_filter_iff Filter.EventuallyEq.hasFDerivAtFilter_iff
+-/
 
+#print HasFDerivAtFilter.congr_of_eventuallyEq /-
 theorem HasFDerivAtFilter.congr_of_eventuallyEq (h : HasFDerivAtFilter f f' x L) (hL : f₁ =ᶠ[L] f)
     (hx : f₁ x = f x) : HasFDerivAtFilter f₁ f' x L :=
   (hL.hasFDerivAtFilter_iff hx fun _ => rfl).2 h
 #align has_fderiv_at_filter.congr_of_eventually_eq HasFDerivAtFilter.congr_of_eventuallyEq
+-/
 
+#print Filter.EventuallyEq.hasFDerivAt_iff /-
 theorem Filter.EventuallyEq.hasFDerivAt_iff (h : f₀ =ᶠ[𝓝 x] f₁) :
     HasFDerivAt f₀ f' x ↔ HasFDerivAt f₁ f' x :=
   h.hasFDerivAtFilter_iff h.eq_of_nhds fun _ => rfl
 #align filter.eventually_eq.has_fderiv_at_iff Filter.EventuallyEq.hasFDerivAt_iff
+-/
 
+#print Filter.EventuallyEq.differentiableAt_iff /-
 theorem Filter.EventuallyEq.differentiableAt_iff (h : f₀ =ᶠ[𝓝 x] f₁) :
     DifferentiableAt 𝕜 f₀ x ↔ DifferentiableAt 𝕜 f₁ x :=
   exists_congr fun f' => h.hasFDerivAt_iff
 #align filter.eventually_eq.differentiable_at_iff Filter.EventuallyEq.differentiableAt_iff
+-/
 
+#print Filter.EventuallyEq.hasFDerivWithinAt_iff /-
 theorem Filter.EventuallyEq.hasFDerivWithinAt_iff (h : f₀ =ᶠ[𝓝[s] x] f₁) (hx : f₀ x = f₁ x) :
     HasFDerivWithinAt f₀ f' s x ↔ HasFDerivWithinAt f₁ f' s x :=
   h.hasFDerivAtFilter_iff hx fun _ => rfl
 #align filter.eventually_eq.has_fderiv_within_at_iff Filter.EventuallyEq.hasFDerivWithinAt_iff
+-/
 
+#print Filter.EventuallyEq.hasFDerivWithinAt_iff_of_mem /-
 theorem Filter.EventuallyEq.hasFDerivWithinAt_iff_of_mem (h : f₀ =ᶠ[𝓝[s] x] f₁) (hx : x ∈ s) :
     HasFDerivWithinAt f₀ f' s x ↔ HasFDerivWithinAt f₁ f' s x :=
   h.hasFDerivWithinAt_iff (h.eq_of_nhdsWithin hx)
 #align filter.eventually_eq.has_fderiv_within_at_iff_of_mem Filter.EventuallyEq.hasFDerivWithinAt_iff_of_mem
+-/
 
+#print Filter.EventuallyEq.differentiableWithinAt_iff /-
 theorem Filter.EventuallyEq.differentiableWithinAt_iff (h : f₀ =ᶠ[𝓝[s] x] f₁) (hx : f₀ x = f₁ x) :
     DifferentiableWithinAt 𝕜 f₀ s x ↔ DifferentiableWithinAt 𝕜 f₁ s x :=
   exists_congr fun f' => h.hasFDerivWithinAt_iff hx
 #align filter.eventually_eq.differentiable_within_at_iff Filter.EventuallyEq.differentiableWithinAt_iff
+-/
 
+#print Filter.EventuallyEq.differentiableWithinAt_iff_of_mem /-
 theorem Filter.EventuallyEq.differentiableWithinAt_iff_of_mem (h : f₀ =ᶠ[𝓝[s] x] f₁) (hx : x ∈ s) :
     DifferentiableWithinAt 𝕜 f₀ s x ↔ DifferentiableWithinAt 𝕜 f₁ s x :=
   h.differentiableWithinAt_iff (h.eq_of_nhdsWithin hx)
 #align filter.eventually_eq.differentiable_within_at_iff_of_mem Filter.EventuallyEq.differentiableWithinAt_iff_of_mem
+-/
 
+#print HasFDerivWithinAt.congr_mono /-
 theorem HasFDerivWithinAt.congr_mono (h : HasFDerivWithinAt f f' s x) (ht : EqOn f₁ f t)
     (hx : f₁ x = f x) (h₁ : t ⊆ s) : HasFDerivWithinAt f₁ f' t x :=
   HasFDerivAtFilter.congr_of_eventuallyEq (h.mono h₁) (Filter.mem_inf_of_right ht) hx
 #align has_fderiv_within_at.congr_mono HasFDerivWithinAt.congr_mono
+-/
 
+#print HasFDerivWithinAt.congr /-
 theorem HasFDerivWithinAt.congr (h : HasFDerivWithinAt f f' s x) (hs : EqOn f₁ f s)
     (hx : f₁ x = f x) : HasFDerivWithinAt f₁ f' s x :=
   h.congr_mono hs hx (Subset.refl _)
 #align has_fderiv_within_at.congr HasFDerivWithinAt.congr
+-/
 
+#print HasFDerivWithinAt.congr' /-
 theorem HasFDerivWithinAt.congr' (h : HasFDerivWithinAt f f' s x) (hs : EqOn f₁ f s) (hx : x ∈ s) :
     HasFDerivWithinAt f₁ f' s x :=
   h.congr hs (hs hx)
 #align has_fderiv_within_at.congr' HasFDerivWithinAt.congr'
+-/
 
+#print HasFDerivWithinAt.congr_of_eventuallyEq /-
 theorem HasFDerivWithinAt.congr_of_eventuallyEq (h : HasFDerivWithinAt f f' s x)
     (h₁ : f₁ =ᶠ[𝓝[s] x] f) (hx : f₁ x = f x) : HasFDerivWithinAt f₁ f' s x :=
   HasFDerivAtFilter.congr_of_eventuallyEq h h₁ hx
 #align has_fderiv_within_at.congr_of_eventually_eq HasFDerivWithinAt.congr_of_eventuallyEq
+-/
 
+#print HasFDerivAt.congr_of_eventuallyEq /-
 theorem HasFDerivAt.congr_of_eventuallyEq (h : HasFDerivAt f f' x) (h₁ : f₁ =ᶠ[𝓝 x] f) :
     HasFDerivAt f₁ f' x :=
   HasFDerivAtFilter.congr_of_eventuallyEq h h₁ (mem_of_mem_nhds h₁ : _)
 #align has_fderiv_at.congr_of_eventually_eq HasFDerivAt.congr_of_eventuallyEq
+-/
 
+#print DifferentiableWithinAt.congr_mono /-
 theorem DifferentiableWithinAt.congr_mono (h : DifferentiableWithinAt 𝕜 f s x) (ht : EqOn f₁ f t)
     (hx : f₁ x = f x) (h₁ : t ⊆ s) : DifferentiableWithinAt 𝕜 f₁ t x :=
   (h.HasFDerivWithinAt.congr_mono ht hx h₁).DifferentiableWithinAt
 #align differentiable_within_at.congr_mono DifferentiableWithinAt.congr_mono
+-/
 
+#print DifferentiableWithinAt.congr /-
 theorem DifferentiableWithinAt.congr (h : DifferentiableWithinAt 𝕜 f s x) (ht : ∀ x ∈ s, f₁ x = f x)
     (hx : f₁ x = f x) : DifferentiableWithinAt 𝕜 f₁ s x :=
   DifferentiableWithinAt.congr_mono h ht hx (Subset.refl _)
 #align differentiable_within_at.congr DifferentiableWithinAt.congr
+-/
 
+#print DifferentiableWithinAt.congr_of_eventuallyEq /-
 theorem DifferentiableWithinAt.congr_of_eventuallyEq (h : DifferentiableWithinAt 𝕜 f s x)
     (h₁ : f₁ =ᶠ[𝓝[s] x] f) (hx : f₁ x = f x) : DifferentiableWithinAt 𝕜 f₁ s x :=
   (h.HasFDerivWithinAt.congr_of_eventuallyEq h₁ hx).DifferentiableWithinAt
 #align differentiable_within_at.congr_of_eventually_eq DifferentiableWithinAt.congr_of_eventuallyEq
+-/
 
+#print DifferentiableOn.congr_mono /-
 theorem DifferentiableOn.congr_mono (h : DifferentiableOn 𝕜 f s) (h' : ∀ x ∈ t, f₁ x = f x)
     (h₁ : t ⊆ s) : DifferentiableOn 𝕜 f₁ t := fun x hx => (h x (h₁ hx)).congr_mono h' (h' x hx) h₁
 #align differentiable_on.congr_mono DifferentiableOn.congr_mono
+-/
 
+#print DifferentiableOn.congr /-
 theorem DifferentiableOn.congr (h : DifferentiableOn 𝕜 f s) (h' : ∀ x ∈ s, f₁ x = f x) :
     DifferentiableOn 𝕜 f₁ s := fun x hx => (h x hx).congr h' (h' x hx)
 #align differentiable_on.congr DifferentiableOn.congr
+-/
 
+#print differentiableOn_congr /-
 theorem differentiableOn_congr (h' : ∀ x ∈ s, f₁ x = f x) :
     DifferentiableOn 𝕜 f₁ s ↔ DifferentiableOn 𝕜 f s :=
   ⟨fun h => DifferentiableOn.congr h fun y hy => (h' y hy).symm, fun h =>
     DifferentiableOn.congr h h'⟩
 #align differentiable_on_congr differentiableOn_congr
+-/
 
+#print DifferentiableAt.congr_of_eventuallyEq /-
 theorem DifferentiableAt.congr_of_eventuallyEq (h : DifferentiableAt 𝕜 f x) (hL : f₁ =ᶠ[𝓝 x] f) :
     DifferentiableAt 𝕜 f₁ x :=
   hL.differentiableAt_iff.2 h
 #align differentiable_at.congr_of_eventually_eq DifferentiableAt.congr_of_eventuallyEq
+-/
 
+#print DifferentiableWithinAt.fderivWithin_congr_mono /-
 theorem DifferentiableWithinAt.fderivWithin_congr_mono (h : DifferentiableWithinAt 𝕜 f s x)
     (hs : EqOn f₁ f t) (hx : f₁ x = f x) (hxt : UniqueDiffWithinAt 𝕜 t x) (h₁ : t ⊆ s) :
     fderivWithin 𝕜 f₁ t x = fderivWithin 𝕜 f s x :=
   (HasFDerivWithinAt.congr_mono h.HasFDerivWithinAt hs hx h₁).fderivWithin hxt
 #align differentiable_within_at.fderiv_within_congr_mono DifferentiableWithinAt.fderivWithin_congr_mono
+-/
 
+#print Filter.EventuallyEq.fderivWithin_eq /-
 theorem Filter.EventuallyEq.fderivWithin_eq (hs : f₁ =ᶠ[𝓝[s] x] f) (hx : f₁ x = f x) :
     fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x := by
   simp only [fderivWithin, hs.has_fderiv_within_at_iff hx]
 #align filter.eventually_eq.fderiv_within_eq Filter.EventuallyEq.fderivWithin_eq
+-/
 
+#print Filter.EventuallyEq.fderiv_within' /-
 theorem Filter.EventuallyEq.fderiv_within' (hs : f₁ =ᶠ[𝓝[s] x] f) (ht : t ⊆ s) :
     fderivWithin 𝕜 f₁ t =ᶠ[𝓝[s] x] fderivWithin 𝕜 f t :=
   (eventually_nhdsWithin_nhdsWithin.2 hs).mp <|
@@ -986,34 +1213,47 @@ theorem Filter.EventuallyEq.fderiv_within' (hs : f₁ =ᶠ[𝓝[s] x] f) (ht : t
       Filter.EventuallyEq.fderivWithin_eq (hs.filter_mono <| nhdsWithin_mono _ ht)
         (hs.self_of_nhdsWithin hys)
 #align filter.eventually_eq.fderiv_within' Filter.EventuallyEq.fderiv_within'
+-/
 
+#print Filter.EventuallyEq.fderivWithin /-
 protected theorem Filter.EventuallyEq.fderivWithin (hs : f₁ =ᶠ[𝓝[s] x] f) :
     fderivWithin 𝕜 f₁ s =ᶠ[𝓝[s] x] fderivWithin 𝕜 f s :=
   hs.fderiv_within' Subset.rfl
 #align filter.eventually_eq.fderiv_within Filter.EventuallyEq.fderivWithin
+-/
 
+#print Filter.EventuallyEq.fderivWithin_eq_nhds /-
 theorem Filter.EventuallyEq.fderivWithin_eq_nhds (h : f₁ =ᶠ[𝓝 x] f) :
     fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
   (h.filter_mono nhdsWithin_le_nhds).fderivWithin_eq h.self_of_nhds
 #align filter.eventually_eq.fderiv_within_eq_nhds Filter.EventuallyEq.fderivWithin_eq_nhds
+-/
 
+#print fderivWithin_congr /-
 theorem fderivWithin_congr (hs : EqOn f₁ f s) (hx : f₁ x = f x) :
     fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
   (hs.EventuallyEq.filter_mono inf_le_right).fderivWithin_eq hx
 #align fderiv_within_congr fderivWithin_congr
+-/
 
+#print fderivWithin_congr' /-
 theorem fderivWithin_congr' (hs : EqOn f₁ f s) (hx : x ∈ s) :
     fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
   fderivWithin_congr hs (hs hx)
 #align fderiv_within_congr' fderivWithin_congr'
+-/
 
+#print Filter.EventuallyEq.fderiv_eq /-
 theorem Filter.EventuallyEq.fderiv_eq (h : f₁ =ᶠ[𝓝 x] f) : fderiv 𝕜 f₁ x = fderiv 𝕜 f x := by
   rw [← fderivWithin_univ, ← fderivWithin_univ, h.fderiv_within_eq_nhds]
 #align filter.eventually_eq.fderiv_eq Filter.EventuallyEq.fderiv_eq
+-/
 
+#print Filter.EventuallyEq.fderiv /-
 protected theorem Filter.EventuallyEq.fderiv (h : f₁ =ᶠ[𝓝 x] f) : fderiv 𝕜 f₁ =ᶠ[𝓝 x] fderiv 𝕜 f :=
   h.eventuallyEq_nhds.mono fun x h => h.fderiv_eq
 #align filter.eventually_eq.fderiv Filter.EventuallyEq.fderiv
+-/
 
 end congr
 
@@ -1022,9 +1262,11 @@ section id
 /-! ### Derivative of the identity -/
 
 
+#print hasStrictFDerivAt_id /-
 theorem hasStrictFDerivAt_id (x : E) : HasStrictFDerivAt id (id 𝕜 E) x :=
   (isLittleO_zero _ _).congr_left <| by simp
 #align has_strict_fderiv_at_id hasStrictFDerivAt_id
+-/
 
 #print hasFDerivAtFilter_id /-
 theorem hasFDerivAtFilter_id (x : E) (L : Filter E) : HasFDerivAtFilter id (id 𝕜 E) x L :=
@@ -1038,35 +1280,49 @@ theorem hasFDerivWithinAt_id (x : E) (s : Set E) : HasFDerivWithinAt id (id 𝕜
 #align has_fderiv_within_at_id hasFDerivWithinAt_id
 -/
 
+#print hasFDerivAt_id /-
 theorem hasFDerivAt_id (x : E) : HasFDerivAt id (id 𝕜 E) x :=
   hasFDerivAtFilter_id _ _
 #align has_fderiv_at_id hasFDerivAt_id
+-/
 
+#print differentiableAt_id /-
 @[simp]
 theorem differentiableAt_id : DifferentiableAt 𝕜 id x :=
   (hasFDerivAt_id x).DifferentiableAt
 #align differentiable_at_id differentiableAt_id
+-/
 
+#print differentiableAt_id' /-
 @[simp]
 theorem differentiableAt_id' : DifferentiableAt 𝕜 (fun x => x) x :=
   (hasFDerivAt_id x).DifferentiableAt
 #align differentiable_at_id' differentiableAt_id'
+-/
 
+#print differentiableWithinAt_id /-
 theorem differentiableWithinAt_id : DifferentiableWithinAt 𝕜 id s x :=
   differentiableAt_id.DifferentiableWithinAt
 #align differentiable_within_at_id differentiableWithinAt_id
+-/
 
+#print differentiable_id /-
 @[simp]
 theorem differentiable_id : Differentiable 𝕜 (id : E → E) := fun x => differentiableAt_id
 #align differentiable_id differentiable_id
+-/
 
+#print differentiable_id' /-
 @[simp]
 theorem differentiable_id' : Differentiable 𝕜 fun x : E => x := fun x => differentiableAt_id
 #align differentiable_id' differentiable_id'
+-/
 
+#print differentiableOn_id /-
 theorem differentiableOn_id : DifferentiableOn 𝕜 id s :=
   differentiable_id.DifferentiableOn
 #align differentiable_on_id differentiableOn_id
+-/
 
 #print fderiv_id /-
 theorem fderiv_id : fderiv 𝕜 id x = id 𝕜 E :=
@@ -1081,16 +1337,20 @@ theorem fderiv_id' : fderiv 𝕜 (fun x : E => x) x = ContinuousLinearMap.id 
 #align fderiv_id' fderiv_id'
 -/
 
+#print fderivWithin_id /-
 theorem fderivWithin_id (hxs : UniqueDiffWithinAt 𝕜 s x) : fderivWithin 𝕜 id s x = id 𝕜 E :=
   by
   rw [DifferentiableAt.fderivWithin differentiableAt_id hxs]
   exact fderiv_id
 #align fderiv_within_id fderivWithin_id
+-/
 
+#print fderivWithin_id' /-
 theorem fderivWithin_id' (hxs : UniqueDiffWithinAt 𝕜 s x) :
     fderivWithin 𝕜 (fun x : E => x) s x = ContinuousLinearMap.id 𝕜 E :=
   fderivWithin_id hxs
 #align fderiv_within_id' fderivWithin_id'
+-/
 
 end id
 
@@ -1099,87 +1359,121 @@ section Const
 /-! ### derivative of a constant function -/
 
 
+#print hasStrictFDerivAt_const /-
 theorem hasStrictFDerivAt_const (c : F) (x : E) :
     HasStrictFDerivAt (fun _ => c) (0 : E →L[𝕜] F) x :=
   (isLittleO_zero _ _).congr_left fun _ => by simp only [zero_apply, sub_self]
 #align has_strict_fderiv_at_const hasStrictFDerivAt_const
+-/
 
+#print hasFDerivAtFilter_const /-
 theorem hasFDerivAtFilter_const (c : F) (x : E) (L : Filter E) :
     HasFDerivAtFilter (fun x => c) (0 : E →L[𝕜] F) x L :=
   (isLittleO_zero _ _).congr_left fun _ => by simp only [zero_apply, sub_self]
 #align has_fderiv_at_filter_const hasFDerivAtFilter_const
+-/
 
+#print hasFDerivWithinAt_const /-
 theorem hasFDerivWithinAt_const (c : F) (x : E) (s : Set E) :
     HasFDerivWithinAt (fun x => c) (0 : E →L[𝕜] F) s x :=
   hasFDerivAtFilter_const _ _ _
 #align has_fderiv_within_at_const hasFDerivWithinAt_const
+-/
 
+#print hasFDerivAt_const /-
 theorem hasFDerivAt_const (c : F) (x : E) : HasFDerivAt (fun x => c) (0 : E →L[𝕜] F) x :=
   hasFDerivAtFilter_const _ _ _
 #align has_fderiv_at_const hasFDerivAt_const
+-/
 
+#print differentiableAt_const /-
 @[simp]
 theorem differentiableAt_const (c : F) : DifferentiableAt 𝕜 (fun x => c) x :=
   ⟨0, hasFDerivAt_const c x⟩
 #align differentiable_at_const differentiableAt_const
+-/
 
+#print differentiableWithinAt_const /-
 theorem differentiableWithinAt_const (c : F) : DifferentiableWithinAt 𝕜 (fun x => c) s x :=
   DifferentiableAt.differentiableWithinAt (differentiableAt_const _)
 #align differentiable_within_at_const differentiableWithinAt_const
+-/
 
+#print fderiv_const_apply /-
 theorem fderiv_const_apply (c : F) : fderiv 𝕜 (fun y => c) x = 0 :=
   HasFDerivAt.fderiv (hasFDerivAt_const c x)
 #align fderiv_const_apply fderiv_const_apply
+-/
 
+#print fderiv_const /-
 @[simp]
 theorem fderiv_const (c : F) : (fderiv 𝕜 fun y : E => c) = 0 := by ext m; rw [fderiv_const_apply];
   rfl
 #align fderiv_const fderiv_const
+-/
 
+#print fderivWithin_const_apply /-
 theorem fderivWithin_const_apply (c : F) (hxs : UniqueDiffWithinAt 𝕜 s x) :
     fderivWithin 𝕜 (fun y => c) s x = 0 :=
   by
   rw [DifferentiableAt.fderivWithin (differentiableAt_const _) hxs]
   exact fderiv_const_apply _
 #align fderiv_within_const_apply fderivWithin_const_apply
+-/
 
+#print differentiable_const /-
 @[simp]
 theorem differentiable_const (c : F) : Differentiable 𝕜 fun x : E => c := fun x =>
   differentiableAt_const _
 #align differentiable_const differentiable_const
+-/
 
+#print differentiableOn_const /-
 theorem differentiableOn_const (c : F) : DifferentiableOn 𝕜 (fun x => c) s :=
   (differentiable_const _).DifferentiableOn
 #align differentiable_on_const differentiableOn_const
+-/
 
+#print hasFDerivWithinAt_singleton /-
 theorem hasFDerivWithinAt_singleton (f : E → F) (x : E) :
     HasFDerivWithinAt f (0 : E →L[𝕜] F) {x} x := by
   simp only [HasFDerivWithinAt, nhdsWithin_singleton, HasFDerivAtFilter, is_o_pure,
     ContinuousLinearMap.zero_apply, sub_self]
 #align has_fderiv_within_at_singleton hasFDerivWithinAt_singleton
+-/
 
+#print hasFDerivAt_of_subsingleton /-
 theorem hasFDerivAt_of_subsingleton [h : Subsingleton E] (f : E → F) (x : E) :
     HasFDerivAt f (0 : E →L[𝕜] F) x :=
   by
   rw [← hasFDerivWithinAt_univ, subsingleton_univ.eq_singleton_of_mem (mem_univ x)]
   exact hasFDerivWithinAt_singleton f x
 #align has_fderiv_at_of_subsingleton hasFDerivAt_of_subsingleton
+-/
 
+#print differentiableOn_empty /-
 theorem differentiableOn_empty : DifferentiableOn 𝕜 f ∅ := fun x => False.elim
 #align differentiable_on_empty differentiableOn_empty
+-/
 
+#print differentiableOn_singleton /-
 theorem differentiableOn_singleton : DifferentiableOn 𝕜 f {x} :=
   forall_eq.2 (hasFDerivWithinAt_singleton f x).DifferentiableWithinAt
 #align differentiable_on_singleton differentiableOn_singleton
+-/
 
+#print Set.Subsingleton.differentiableOn /-
 theorem Set.Subsingleton.differentiableOn (hs : s.Subsingleton) : DifferentiableOn 𝕜 f s :=
   hs.inductionOn differentiableOn_empty fun x => differentiableOn_singleton
 #align set.subsingleton.differentiable_on Set.Subsingleton.differentiableOn
+-/
 
+#print hasFDerivAt_zero_of_eventually_const /-
 theorem hasFDerivAt_zero_of_eventually_const (c : F) (hf : f =ᶠ[𝓝 x] fun y => c) :
     HasFDerivAt f (0 : E →L[𝕜] F) x :=
   (hasFDerivAt_const _ _).congr_of_eventuallyEq hf
 #align has_fderiv_at_zero_of_eventually_const hasFDerivAt_zero_of_eventually_const
+-/
 
 end Const
 
@@ -1195,20 +1489,26 @@ open Function
 variable (𝕜 : Type _) {E F : Type _} [NontriviallyNormedField 𝕜] [NormedAddCommGroup E]
   [NormedSpace 𝕜 E] [NormedAddCommGroup F] [NormedSpace 𝕜 F] {f : E → F}
 
+#print support_fderiv_subset /-
 theorem support_fderiv_subset : support (fderiv 𝕜 f) ⊆ tsupport f :=
   by
   intro x
   rw [← not_imp_not, not_mem_tsupport_iff_eventuallyEq, nmem_support]
   exact fun hx => hx.fderiv_eq.trans <| fderiv_const_apply 0
 #align support_fderiv_subset support_fderiv_subset
+-/
 
+#print tsupport_fderiv_subset /-
 theorem tsupport_fderiv_subset : tsupport (fderiv 𝕜 f) ⊆ tsupport f :=
   closure_minimal (support_fderiv_subset 𝕜) isClosed_closure
 #align tsupport_fderiv_subset tsupport_fderiv_subset
+-/
 
+#print HasCompactSupport.fderiv /-
 theorem HasCompactSupport.fderiv (hf : HasCompactSupport f) : HasCompactSupport (fderiv 𝕜 f) :=
   hf.mono' <| support_fderiv_subset 𝕜
 #align has_compact_support.fderiv HasCompactSupport.fderiv
+-/
 
 end Support

bump to nightly-2023-06-09-07

mathlib commit https://github.com/leanprover-community/mathlib/commit/7e5137f579de09a059a5ce98f364a04e221aabf0

16afdc39

Diff

@@ -367,7 +367,6 @@ theorem HasFDerivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (h
     ‖f' y‖ ≤ ‖f (x₀ + y) - f x₀‖ + ‖f (x₀ + y) - f x₀ - f' y‖ := norm_le_insert _ _
     _ ≤ C * ‖y‖ + ε * ‖y‖ := (add_le_add hyC hy)
     _ = (C + ε) * ‖y‖ := (add_mul _ _ _).symm
-    
 #align has_fderiv_at.le_of_lip' HasFDerivAt.le_of_lip'
 
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
@@ -820,7 +819,6 @@ theorem hasFDerivWithinAt_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
       simpa only [set_eventually_eq_iff_inf_principal, ← nhdsWithin_inter', diff_eq,
         inter_comm] using h
     _ ↔ HasFDerivWithinAt f f' t x := hasFDerivWithinAt_diff_singleton _
-    
 #align has_fderiv_within_at_congr_set' hasFDerivWithinAt_congr_set'
 
 theorem hasFDerivWithinAt_congr_set (h : s =ᶠ[𝓝 x] t) :

bump to nightly-2023-06-04-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/5f25c089cb34db4db112556f23c50d12da81b297

3fb4268b

Diff

@@ -361,7 +361,7 @@ theorem HasFDerivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (h
   refine' le_of_forall_pos_le_add fun ε ε0 => op_norm_le_of_nhds_zero _ _
   exact add_nonneg hC₀ ε0.le
   rw [← map_add_left_nhds_zero x₀, eventually_map] at hlip 
-  filter_upwards [is_o_iff.1 (hasFDerivAt_iff_isLittleO_nhds_zero.1 hf) ε0, hlip]with y hy hyC
+  filter_upwards [is_o_iff.1 (hasFDerivAt_iff_isLittleO_nhds_zero.1 hf) ε0, hlip] with y hy hyC
   rw [add_sub_cancel'] at hyC 
   calc
     ‖f' y‖ ≤ ‖f (x₀ + y) - f x₀‖ + ‖f (x₀ + y) - f x₀ - f' y‖ := norm_le_insert _ _
@@ -376,7 +376,7 @@ theorem HasFDerivAt.le_of_lip {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (hf
     {s : Set E} (hs : s ∈ 𝓝 x₀) {C : ℝ≥0} (hlip : LipschitzOnWith C f s) : ‖f'‖ ≤ C :=
   by
   refine' hf.le_of_lip' C.coe_nonneg _
-  filter_upwards [hs]with x hx using hlip.norm_sub_le hx (mem_of_mem_nhds hs)
+  filter_upwards [hs] with x hx using hlip.norm_sub_le hx (mem_of_mem_nhds hs)
 #align has_fderiv_at.le_of_lip HasFDerivAt.le_of_lip
 
 theorem HasFDerivAtFilter.mono (h : HasFDerivAtFilter f f' x L₂) (hst : L₁ ≤ L₂) :

bump to nightly-2023-06-01-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

b9c87c70

Diff

@@ -294,7 +294,7 @@ theorem HasFDerivWithinAt.lim (h : HasFDerivWithinAt f f' s x) {α : Type _} (l
     (fun n => c n • (f (x + d n) - f x - f' (d n)) + f' (c n • d n)) = fun n =>
       c n • (f (x + d n) - f x) :=
     by ext n; simp [smul_add, smul_sub]
-  rwa [this, zero_add] at L3
+  rwa [this, zero_add] at L3 
 #align has_fderiv_within_at.lim HasFDerivWithinAt.lim
 
 /-- If `f'` and `f₁'` are two derivatives of `f` within `s` at `x`, then they are equal on the
@@ -360,9 +360,9 @@ theorem HasFDerivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (h
   by
   refine' le_of_forall_pos_le_add fun ε ε0 => op_norm_le_of_nhds_zero _ _
   exact add_nonneg hC₀ ε0.le
-  rw [← map_add_left_nhds_zero x₀, eventually_map] at hlip
+  rw [← map_add_left_nhds_zero x₀, eventually_map] at hlip 
   filter_upwards [is_o_iff.1 (hasFDerivAt_iff_isLittleO_nhds_zero.1 hf) ε0, hlip]with y hy hyC
-  rw [add_sub_cancel'] at hyC
+  rw [add_sub_cancel'] at hyC 
   calc
     ‖f' y‖ ≤ ‖f (x₀ + y) - f x₀‖ + ‖f (x₀ + y) - f x₀ - f' y‖ := norm_le_insert _ _
     _ ≤ C * ‖y‖ + ε * ‖y‖ := (add_le_add hyC hy)
@@ -472,7 +472,7 @@ theorem HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_lt (hf : HasStrictFDe
     (K : ℝ≥0) (hK : ‖f'‖₊ < K) : ∃ s ∈ 𝓝 x, LipschitzOnWith K f s :=
   by
   have := hf.add_is_O_with (f'.is_O_with_comp _ _) hK
-  simp only [sub_add_cancel, is_O_with] at this
+  simp only [sub_add_cancel, is_O_with] at this 
   rcases exists_nhds_square this with ⟨U, Uo, xU, hU⟩
   exact
     ⟨U, Uo.mem_nhds xU, lipschitzOnWith_iff_norm_sub_le.2 fun x hx y hy => hU (mk_mem_prod hx hy)⟩
@@ -501,7 +501,7 @@ theorem HasFDerivAt.lim (hf : HasFDerivAt f f' x) (v : E) {α : Type _} {c : α
 
 theorem HasFDerivAt.unique (h₀ : HasFDerivAt f f₀' x) (h₁ : HasFDerivAt f f₁' x) : f₀' = f₁' :=
   by
-  rw [← hasFDerivWithinAt_univ] at h₀ h₁
+  rw [← hasFDerivWithinAt_univ] at h₀ h₁ 
   exact unique_diff_within_at_univ.eq h₀ h₁
 #align has_fderiv_at.unique HasFDerivAt.unique
 
@@ -529,7 +529,7 @@ theorem HasFDerivWithinAt.nhdsWithin (h : HasFDerivWithinAt f f' s x) (ht : s 
 
 theorem HasFDerivWithinAt.hasFDerivAt (h : HasFDerivWithinAt f f' s x) (hs : s ∈ 𝓝 x) :
     HasFDerivAt f f' x := by
-  rwa [← univ_inter s, hasFDerivWithinAt_inter hs, hasFDerivWithinAt_univ] at h
+  rwa [← univ_inter s, hasFDerivWithinAt_inter hs, hasFDerivWithinAt_univ] at h 
 #align has_fderiv_within_at.has_fderiv_at HasFDerivWithinAt.hasFDerivAt
 
 theorem DifferentiableWithinAt.differentiableAt (h : DifferentiableWithinAt 𝕜 f s x)
@@ -541,7 +541,7 @@ theorem DifferentiableWithinAt.hasFDerivWithinAt (h : DifferentiableWithinAt 
     HasFDerivWithinAt f (fderivWithin 𝕜 f s x) s x :=
   by
   dsimp only [fderivWithin]
-  dsimp only [DifferentiableWithinAt] at h
+  dsimp only [DifferentiableWithinAt] at h 
   rw [dif_pos h]
   exact Classical.choose_spec h
 #align differentiable_within_at.has_fderiv_within_at DifferentiableWithinAt.hasFDerivWithinAt
@@ -549,7 +549,7 @@ theorem DifferentiableWithinAt.hasFDerivWithinAt (h : DifferentiableWithinAt 
 theorem DifferentiableAt.hasFDerivAt (h : DifferentiableAt 𝕜 f x) :
     HasFDerivAt f (fderiv 𝕜 f x) x := by
   dsimp only [fderiv]
-  dsimp only [DifferentiableAt] at h
+  dsimp only [DifferentiableAt] at h 
   rw [dif_pos h]
   exact Classical.choose_spec h
 #align differentiable_at.has_fderiv_at DifferentiableAt.hasFDerivAt
@@ -594,7 +594,7 @@ theorem HasFDerivWithinAt.fderivWithin (h : HasFDerivWithinAt f f' s x)
 as this statement is empty. -/
 theorem hasFDerivWithinAt_of_not_mem_closure (h : x ∉ closure s) : HasFDerivWithinAt f f' s x :=
   by
-  simp only [mem_closure_iff_nhdsWithin_neBot, ne_bot_iff, Ne.def, Classical.not_not] at h
+  simp only [mem_closure_iff_nhdsWithin_neBot, ne_bot_iff, Ne.def, Classical.not_not] at h 
   simp [HasFDerivWithinAt, HasFDerivAtFilter, h, is_o, is_O_with]
 #align has_fderiv_within_at_of_not_mem_closure hasFDerivWithinAt_of_not_mem_closure
 
@@ -720,7 +720,7 @@ theorem Asymptotics.IsBigO.hasFDerivWithinAt {s : Set E} {x₀ : E} {n : ℕ}
 theorem Asymptotics.IsBigO.hasFDerivAt {x₀ : E} {n : ℕ} (h : f =O[𝓝 x₀] fun x => ‖x - x₀‖ ^ n)
     (hn : 1 < n) : HasFDerivAt f (0 : E →L[𝕜] F) x₀ :=
   by
-  rw [← nhdsWithin_univ] at h
+  rw [← nhdsWithin_univ] at h 
   exact (h.has_fderiv_within_at (mem_univ _) hn).hasFDerivAt_of_univ
 #align asymptotics.is_O.has_fderiv_at Asymptotics.IsBigO.hasFDerivAt
 
@@ -749,7 +749,7 @@ theorem HasFDerivAtFilter.tendsto_nhds (hL : L ≤ 𝓝 x) (h : HasFDerivAtFilte
     refine' h.is_O_sub.trans_tendsto (tendsto.mono_left _ hL)
     rw [← sub_self x]; exact tendsto_id.sub tendsto_const_nhds
   have := tendsto.add this tendsto_const_nhds
-  rw [zero_add (f x)] at this
+  rw [zero_add (f x)] at this 
   exact this.congr (by simp only [sub_add_cancel, eq_self_iff_true, forall_const])
 #align has_fderiv_at_filter.tendsto_nhds HasFDerivAtFilter.tendsto_nhds

bump to nightly-2023-05-28-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

8d353152

Diff

@@ -125,7 +125,7 @@ derivative, differentiable, Fréchet, calculus
 
 open Filter Asymptotics ContinuousLinearMap Set Metric
 
-open Topology Classical NNReal Filter Asymptotics ENNReal
+open scoped Topology Classical NNReal Filter Asymptotics ENNReal
 
 noncomputable section

bump to nightly-2023-05-28-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

ba5d8b97

Diff

@@ -240,9 +240,6 @@ variable {s t : Set E}
 
 variable {L L₁ L₂ : Filter E}
 
-/- warning: fderiv_within_zero_of_not_differentiable_within_at -> fderivWithin_zero_of_not_differentiableWithinAt is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_within_zero_of_not_differentiable_within_at fderivWithin_zero_of_not_differentiableWithinAtₓ'. -/
 theorem fderivWithin_zero_of_not_differentiableWithinAt (h : ¬DifferentiableWithinAt 𝕜 f s x) :
     fderivWithin 𝕜 f s x = 0 :=
   by
@@ -250,9 +247,6 @@ theorem fderivWithin_zero_of_not_differentiableWithinAt (h : ¬DifferentiableWit
   simp [fderivWithin, this]
 #align fderiv_within_zero_of_not_differentiable_within_at fderivWithin_zero_of_not_differentiableWithinAt
 
-/- warning: fderiv_zero_of_not_differentiable_at -> fderiv_zero_of_not_differentiableAt is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_zero_of_not_differentiable_at fderiv_zero_of_not_differentiableAtₓ'. -/
 theorem fderiv_zero_of_not_differentiableAt (h : ¬DifferentiableAt 𝕜 f x) : fderiv 𝕜 f x = 0 :=
   by
   have : ¬∃ f', HasFDerivAt f f' x := h
@@ -261,9 +255,6 @@ theorem fderiv_zero_of_not_differentiableAt (h : ¬DifferentiableAt 𝕜 f x) :
 
 section DerivativeUniqueness
 
-/- warning: has_fderiv_within_at.lim -> HasFDerivWithinAt.lim is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.lim HasFDerivWithinAt.limₓ'. -/
 /- In this section, we discuss the uniqueness of the derivative.
 We prove that the definitions `unique_diff_within_at` and `unique_diff_on` indeed imply the
 uniqueness of the derivative. -/
@@ -306,9 +297,6 @@ theorem HasFDerivWithinAt.lim (h : HasFDerivWithinAt f f' s x) {α : Type _} (l
   rwa [this, zero_add] at L3
 #align has_fderiv_within_at.lim HasFDerivWithinAt.lim
 
-/- warning: has_fderiv_within_at.unique_on -> HasFDerivWithinAt.unique_on is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.unique_on HasFDerivWithinAt.unique_onₓ'. -/
 /-- If `f'` and `f₁'` are two derivatives of `f` within `s` at `x`, then they are equal on the
 tangent cone to `s` at `x` -/
 theorem HasFDerivWithinAt.unique_on (hf : HasFDerivWithinAt f f' s x)
@@ -317,18 +305,12 @@ theorem HasFDerivWithinAt.unique_on (hf : HasFDerivWithinAt f f' s x)
   tendsto_nhds_unique (hf.lim atTop dtop clim cdlim) (hg.lim atTop dtop clim cdlim)
 #align has_fderiv_within_at.unique_on HasFDerivWithinAt.unique_on
 
-/- warning: unique_diff_within_at.eq -> UniqueDiffWithinAt.eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align unique_diff_within_at.eq UniqueDiffWithinAt.eqₓ'. -/
 /-- `unique_diff_within_at` achieves its goal: it implies the uniqueness of the derivative. -/
 theorem UniqueDiffWithinAt.eq (H : UniqueDiffWithinAt 𝕜 s x) (hf : HasFDerivWithinAt f f' s x)
     (hg : HasFDerivWithinAt f f₁' s x) : f' = f₁' :=
   ContinuousLinearMap.ext_on H.1 (hf.unique_on hg)
 #align unique_diff_within_at.eq UniqueDiffWithinAt.eq
 
-/- warning: unique_diff_on.eq -> UniqueDiffOn.eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align unique_diff_on.eq UniqueDiffOn.eqₓ'. -/
 theorem UniqueDiffOn.eq (H : UniqueDiffOn 𝕜 s) (hx : x ∈ s) (h : HasFDerivWithinAt f f' s x)
     (h₁ : HasFDerivWithinAt f f₁' s x) : f' = f₁' :=
   (H x hx).Eq h h₁
@@ -341,9 +323,6 @@ section FderivProperties
 /-! ### Basic properties of the derivative -/
 
 
-/- warning: has_fderiv_at_filter_iff_tendsto -> hasFDerivAtFilter_iff_tendsto is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at_filter_iff_tendsto hasFDerivAtFilter_iff_tendstoₓ'. -/
 theorem hasFDerivAtFilter_iff_tendsto :
     HasFDerivAtFilter f f' x L ↔
       Tendsto (fun x' => ‖x' - x‖⁻¹ * ‖f x' - f x - f' (x' - x)‖) L (𝓝 0) :=
@@ -355,26 +334,17 @@ theorem hasFDerivAtFilter_iff_tendsto :
   exact tendsto_congr fun _ => div_eq_inv_mul _ _
 #align has_fderiv_at_filter_iff_tendsto hasFDerivAtFilter_iff_tendsto
 
-/- warning: has_fderiv_within_at_iff_tendsto -> hasFDerivWithinAt_iff_tendsto is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_iff_tendsto hasFDerivWithinAt_iff_tendstoₓ'. -/
 theorem hasFDerivWithinAt_iff_tendsto :
     HasFDerivWithinAt f f' s x ↔
       Tendsto (fun x' => ‖x' - x‖⁻¹ * ‖f x' - f x - f' (x' - x)‖) (𝓝[s] x) (𝓝 0) :=
   hasFDerivAtFilter_iff_tendsto
 #align has_fderiv_within_at_iff_tendsto hasFDerivWithinAt_iff_tendsto
 
-/- warning: has_fderiv_at_iff_tendsto -> hasFDerivAt_iff_tendsto is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at_iff_tendsto hasFDerivAt_iff_tendstoₓ'. -/
 theorem hasFDerivAt_iff_tendsto :
     HasFDerivAt f f' x ↔ Tendsto (fun x' => ‖x' - x‖⁻¹ * ‖f x' - f x - f' (x' - x)‖) (𝓝 x) (𝓝 0) :=
   hasFDerivAtFilter_iff_tendsto
 #align has_fderiv_at_iff_tendsto hasFDerivAt_iff_tendsto
 
-/- warning: has_fderiv_at_iff_is_o_nhds_zero -> hasFDerivAt_iff_isLittleO_nhds_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at_iff_is_o_nhds_zero hasFDerivAt_iff_isLittleO_nhds_zeroₓ'. -/
 theorem hasFDerivAt_iff_isLittleO_nhds_zero :
     HasFDerivAt f f' x ↔ (fun h : E => f (x + h) - f x - f' h) =o[𝓝 0] fun h => h :=
   by
@@ -382,9 +352,6 @@ theorem hasFDerivAt_iff_isLittleO_nhds_zero :
   simp [(· ∘ ·)]
 #align has_fderiv_at_iff_is_o_nhds_zero hasFDerivAt_iff_isLittleO_nhds_zero
 
-/- warning: has_fderiv_at.le_of_lip' -> HasFDerivAt.le_of_lip' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at.le_of_lip' HasFDerivAt.le_of_lip'ₓ'. -/
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
 on a neighborhood of `x₀` then it its derivative at `x₀` has norm bounded by `C`. This version
 only assumes that `‖f x - f x₀‖ ≤ C * ‖x - x₀‖` in a neighborhood of `x`. -/
@@ -403,9 +370,6 @@ theorem HasFDerivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (h
     
 #align has_fderiv_at.le_of_lip' HasFDerivAt.le_of_lip'
 
-/- warning: has_fderiv_at.le_of_lip -> HasFDerivAt.le_of_lip is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at.le_of_lip HasFDerivAt.le_of_lipₓ'. -/
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
 on a neighborhood of `x₀` then it its derivative at `x₀` has norm bounded by `C`. -/
 theorem HasFDerivAt.le_of_lip {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (hf : HasFDerivAt f f' x₀)
@@ -415,107 +379,47 @@ theorem HasFDerivAt.le_of_lip {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (hf
   filter_upwards [hs]with x hx using hlip.norm_sub_le hx (mem_of_mem_nhds hs)
 #align has_fderiv_at.le_of_lip HasFDerivAt.le_of_lip
 
-/- warning: has_fderiv_at_filter.mono -> HasFDerivAtFilter.mono is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {L₁ : Filter.{u2} E} {L₂ : Filter.{u2} E}, (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L₂) -> (LE.le.{u2} (Filter.{u2} E) (Preorder.toHasLe.{u2} (Filter.{u2} E) (PartialOrder.toPreorder.{u2} (Filter.{u2} E) (Filter.partialOrder.{u2} E))) L₁ L₂) -> (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L₁)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {L₁ : Filter.{u2} E} {L₂ : Filter.{u2} E}, (HasFDerivAtFilter.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L₂) -> (LE.le.{u2} (Filter.{u2} E) (Preorder.toLE.{u2} (Filter.{u2} E) (PartialOrder.toPreorder.{u2} (Filter.{u2} E) (Filter.instPartialOrderFilter.{u2} E))) L₁ L₂) -> (HasFDerivAtFilter.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L₁)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at_filter.mono HasFDerivAtFilter.monoₓ'. -/
 theorem HasFDerivAtFilter.mono (h : HasFDerivAtFilter f f' x L₂) (hst : L₁ ≤ L₂) :
     HasFDerivAtFilter f f' x L₁ :=
   h.mono hst
 #align has_fderiv_at_filter.mono HasFDerivAtFilter.mono
 
-/- warning: has_fderiv_within_at.mono_of_mem -> HasFDerivWithinAt.mono_of_mem is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) t (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s)) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) t (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s)) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.mono_of_mem HasFDerivWithinAt.mono_of_memₓ'. -/
 theorem HasFDerivWithinAt.mono_of_mem (h : HasFDerivWithinAt f f' t x) (hst : t ∈ 𝓝[s] x) :
     HasFDerivWithinAt f f' s x :=
   h.mono <| nhdsWithin_le_iff.mpr hst
 #align has_fderiv_within_at.mono_of_mem HasFDerivWithinAt.mono_of_mem
 
-/- warning: has_fderiv_within_at.mono -> HasFDerivWithinAt.mono is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) s t) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
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-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) s t) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.mono HasFDerivWithinAt.monoₓ'. -/
 theorem HasFDerivWithinAt.mono (h : HasFDerivWithinAt f f' t x) (hst : s ⊆ t) :
     HasFDerivWithinAt f f' s x :=
   h.mono <| nhdsWithin_mono _ hst
 #align has_fderiv_within_at.mono HasFDerivWithinAt.mono
 
-/- warning: has_fderiv_at.has_fderiv_at_filter -> HasFDerivAt.hasFDerivAtFilter is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {L : Filter.{u2} E}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (LE.le.{u2} (Filter.{u2} E) (Preorder.toHasLe.{u2} (Filter.{u2} E) (PartialOrder.toPreorder.{u2} (Filter.{u2} E) (Filter.partialOrder.{u2} E))) L (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {L : Filter.{u2} E}, (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (LE.le.{u2} (Filter.{u2} E) (Preorder.toLE.{u2} (Filter.{u2} E) (PartialOrder.toPreorder.{u2} (Filter.{u2} E) (Filter.instPartialOrderFilter.{u2} E))) L (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (HasFDerivAtFilter.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at.has_fderiv_at_filter HasFDerivAt.hasFDerivAtFilterₓ'. -/
 theorem HasFDerivAt.hasFDerivAtFilter (h : HasFDerivAt f f' x) (hL : L ≤ 𝓝 x) :
     HasFDerivAtFilter f f' x L :=
   h.mono hL
 #align has_fderiv_at.has_fderiv_at_filter HasFDerivAt.hasFDerivAtFilter
 
-/- warning: has_fderiv_at.has_fderiv_within_at -> HasFDerivAt.hasFDerivWithinAt is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at.has_fderiv_within_at HasFDerivAt.hasFDerivWithinAtₓ'. -/
 theorem HasFDerivAt.hasFDerivWithinAt (h : HasFDerivAt f f' x) : HasFDerivWithinAt f f' s x :=
   h.HasFDerivAtFilter inf_le_left
 #align has_fderiv_at.has_fderiv_within_at HasFDerivAt.hasFDerivWithinAt
 
-/- warning: has_fderiv_within_at.differentiable_within_at -> HasFDerivWithinAt.differentiableWithinAt is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.differentiable_within_at HasFDerivWithinAt.differentiableWithinAtₓ'. -/
 theorem HasFDerivWithinAt.differentiableWithinAt (h : HasFDerivWithinAt f f' s x) :
     DifferentiableWithinAt 𝕜 f s x :=
   ⟨f', h⟩
 #align has_fderiv_within_at.differentiable_within_at HasFDerivWithinAt.differentiableWithinAt
 
-/- warning: has_fderiv_at.differentiable_at -> HasFDerivAt.differentiableAt is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at.differentiable_at HasFDerivAt.differentiableAtₓ'. -/
 theorem HasFDerivAt.differentiableAt (h : HasFDerivAt f f' x) : DifferentiableAt 𝕜 f x :=
   ⟨f', h⟩
 #align has_fderiv_at.differentiable_at HasFDerivAt.differentiableAt
 
-/- warning: has_fderiv_within_at_univ -> hasFDerivWithinAt_univ is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Set.univ.{u2} E) x) (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, Iff (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Set.univ.{u2} E) x) (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_univ hasFDerivWithinAt_univₓ'. -/
 @[simp]
 theorem hasFDerivWithinAt_univ : HasFDerivWithinAt f f' univ x ↔ HasFDerivAt f f' x := by
   simp only [HasFDerivWithinAt, nhdsWithin_univ]; rfl
 #align has_fderiv_within_at_univ hasFDerivWithinAt_univ
 
-/- warning: has_fderiv_within_at.has_fderiv_at_of_univ -> HasFDerivWithinAt.hasFDerivAt_of_univ is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Set.univ.{u2} E) x) -> (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x)
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-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Set.univ.{u2} E) x) -> (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.has_fderiv_at_of_univ HasFDerivWithinAt.hasFDerivAt_of_univₓ'. -/
 alias hasFDerivWithinAt_univ ↔ HasFDerivWithinAt.hasFDerivAt_of_univ _
 #align has_fderiv_within_at.has_fderiv_at_of_univ HasFDerivWithinAt.hasFDerivAt_of_univ
 
-/- warning: has_fderiv_within_at_insert -> hasFDerivWithinAt_insert is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {y : E}, Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) y s) x) (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {y : E}, Iff (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) y s) x) (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_insert hasFDerivWithinAt_insertₓ'. -/
 theorem hasFDerivWithinAt_insert {y : E} :
     HasFDerivWithinAt f f' (insert y s) x ↔ HasFDerivWithinAt f f' s x :=
   by
@@ -527,92 +431,41 @@ theorem hasFDerivWithinAt_insert {y : E} :
   simp_rw [nhdsWithin_insert_of_ne h, self_mem_nhdsWithin]
 #align has_fderiv_within_at_insert hasFDerivWithinAt_insert
 
-/- warning: has_fderiv_within_at.of_insert -> HasFDerivWithinAt.of_insert is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {y : E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) y s) x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {y : E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) y s) x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.of_insert HasFDerivWithinAt.of_insertₓ'. -/
-/- warning: has_fderiv_within_at.insert' -> HasFDerivWithinAt.insert' is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {y : E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) y s) x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {y : E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) y s) x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.insert' HasFDerivWithinAt.insert'ₓ'. -/
 alias hasFDerivWithinAt_insert ↔ HasFDerivWithinAt.of_insert HasFDerivWithinAt.insert'
 #align has_fderiv_within_at.of_insert HasFDerivWithinAt.of_insert
 #align has_fderiv_within_at.insert' HasFDerivWithinAt.insert'
 
-/- warning: has_fderiv_within_at.insert -> HasFDerivWithinAt.insert is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) x s) x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) x s) x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.insert HasFDerivWithinAt.insertₓ'. -/
 theorem HasFDerivWithinAt.insert (h : HasFDerivWithinAt f f' s x) :
     HasFDerivWithinAt f f' (insert x s) x :=
   h.insert'
 #align has_fderiv_within_at.insert HasFDerivWithinAt.insert
 
-/- warning: has_fderiv_within_at_diff_singleton -> hasFDerivWithinAt_diff_singleton is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} (y : E), Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (SDiff.sdiff.{u2} (Set.{u2} E) (BooleanAlgebra.toHasSdiff.{u2} (Set.{u2} E) (Set.booleanAlgebra.{u2} E)) s (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) y)) x) (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} (y : E), Iff (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (SDiff.sdiff.{u2} (Set.{u2} E) (Set.instSDiffSet.{u2} E) s (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) y)) x) (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_diff_singleton hasFDerivWithinAt_diff_singletonₓ'. -/
 theorem hasFDerivWithinAt_diff_singleton (y : E) :
     HasFDerivWithinAt f f' (s \ {y}) x ↔ HasFDerivWithinAt f f' s x := by
   rw [← hasFDerivWithinAt_insert, insert_diff_singleton, hasFDerivWithinAt_insert]
 #align has_fderiv_within_at_diff_singleton hasFDerivWithinAt_diff_singleton
 
-/- warning: has_strict_fderiv_at.is_O_sub -> HasStrictFDerivAt.isBigO_sub is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (Asymptotics.IsBigO.{u2, u3, u2} (Prod.{u2, u2} E E) F E (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (nhds.{u2} (Prod.{u2, u2} E E) (Prod.topologicalSpace.{u2, u2} E E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (Prod.mk.{u2, u2} E E x x)) (fun (p : Prod.{u2, u2} E E) => HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (f (Prod.fst.{u2, u2} E E p)) (f (Prod.snd.{u2, u2} E E p))) (fun (p : Prod.{u2, u2} E E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) (Prod.fst.{u2, u2} E E p) (Prod.snd.{u2, u2} E E p)))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (Asymptotics.IsBigO.{u2, u1, u2} (Prod.{u2, u2} E E) F E (NormedAddCommGroup.toNorm.{u1} F _inst_4) (NormedAddCommGroup.toNorm.{u2} E _inst_2) (nhds.{u2} (Prod.{u2, u2} E E) (instTopologicalSpaceProd.{u2, u2} E E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (Prod.mk.{u2, u2} E E x x)) (fun (p : Prod.{u2, u2} E E) => HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (f (Prod.fst.{u2, u2} E E p)) (f (Prod.snd.{u2, u2} E E p))) (fun (p : Prod.{u2, u2} E E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) (Prod.fst.{u2, u2} E E p) (Prod.snd.{u2, u2} E E p)))
-Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.is_O_sub HasStrictFDerivAt.isBigO_subₓ'. -/
 theorem HasStrictFDerivAt.isBigO_sub (hf : HasStrictFDerivAt f f' x) :
     (fun p : E × E => f p.1 - f p.2) =O[𝓝 (x, x)] fun p : E × E => p.1 - p.2 :=
   hf.IsBigO.congr_of_sub.2 (f'.isBigO_comp _ _)
 #align has_strict_fderiv_at.is_O_sub HasStrictFDerivAt.isBigO_sub
 
-/- warning: has_fderiv_at_filter.is_O_sub -> HasFDerivAtFilter.isBigO_sub is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {L : Filter.{u2} E}, (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L) -> (Asymptotics.IsBigO.{u2, u3, u2} E F E (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) L (fun (x' : E) => HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (f x') (f x)) (fun (x' : E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x))
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-Case conversion may be inaccurate. Consider using '#align has_fderiv_at_filter.is_O_sub HasFDerivAtFilter.isBigO_subₓ'. -/
 theorem HasFDerivAtFilter.isBigO_sub (h : HasFDerivAtFilter f f' x L) :
     (fun x' => f x' - f x) =O[L] fun x' => x' - x :=
   h.IsBigO.congr_of_sub.2 (f'.isBigO_sub _ _)
 #align has_fderiv_at_filter.is_O_sub HasFDerivAtFilter.isBigO_sub
 
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-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x)
-Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.has_fderiv_at HasStrictFDerivAt.hasFDerivAtₓ'. -/
 protected theorem HasStrictFDerivAt.hasFDerivAt (hf : HasStrictFDerivAt f f' x) :
     HasFDerivAt f f' x := by
   rw [HasFDerivAt, HasFDerivAtFilter, is_o_iff]
   exact fun c hc => tendsto_id.prod_mk_nhds tendsto_const_nhds (is_o_iff.1 hf hc)
 #align has_strict_fderiv_at.has_fderiv_at HasStrictFDerivAt.hasFDerivAt
 
-/- warning: has_strict_fderiv_at.differentiable_at -> HasStrictFDerivAt.differentiableAt is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
-Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.differentiable_at HasStrictFDerivAt.differentiableAtₓ'. -/
 protected theorem HasStrictFDerivAt.differentiableAt (hf : HasStrictFDerivAt f f' x) :
     DifferentiableAt 𝕜 f x :=
   hf.HasFDerivAt.DifferentiableAt
 #align has_strict_fderiv_at.differentiable_at HasStrictFDerivAt.differentiableAt
 
-/- warning: has_strict_fderiv_at.exists_lipschitz_on_with_of_nnnorm_lt -> HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_lt is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.exists_lipschitz_on_with_of_nnnorm_lt HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_ltₓ'. -/
 /-- If `f` is strictly differentiable at `x` with derivative `f'` and `K > ‖f'‖₊`, then `f` is
 `K`-Lipschitz in a neighborhood of `x`. -/
 theorem HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_lt (hf : HasStrictFDerivAt f f' x)
@@ -625,12 +478,6 @@ theorem HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_lt (hf : HasStrictFDe
     ⟨U, Uo.mem_nhds xU, lipschitzOnWith_iff_norm_sub_le.2 fun x hx y hy => hU (mk_mem_prod hx hy)⟩
 #align has_strict_fderiv_at.exists_lipschitz_on_with_of_nnnorm_lt HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_lt
 
-/- warning: has_strict_fderiv_at.exists_lipschitz_on_with -> HasStrictFDerivAt.exists_lipschitzOnWith is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (Exists.{1} NNReal (fun (K : NNReal) => Exists.{succ u2} (Set.{u2} E) (fun (s : Set.{u2} E) => Exists.{0} (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) (fun (H : Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) => LipschitzOnWith.{u2, u3} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (PseudoMetricSpace.toPseudoEMetricSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) K f s))))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (Exists.{1} NNReal (fun (K : NNReal) => Exists.{succ u2} (Set.{u2} E) (fun (s : Set.{u2} E) => And (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) (LipschitzOnWith.{u2, u1} E F (EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))) (EMetricSpace.toPseudoEMetricSpace.{u1} F (MetricSpace.toEMetricSpace.{u1} F (NormedAddCommGroup.toMetricSpace.{u1} F _inst_4))) K f s))))
-Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.exists_lipschitz_on_with HasStrictFDerivAt.exists_lipschitzOnWithₓ'. -/
 /-- If `f` is strictly differentiable at `x` with derivative `f'`, then `f` is Lipschitz in a
 neighborhood of `x`. See also `has_strict_fderiv_at.exists_lipschitz_on_with_of_nnnorm_lt` for a
 more precise statement. -/
@@ -639,9 +486,6 @@ theorem HasStrictFDerivAt.exists_lipschitzOnWith (hf : HasStrictFDerivAt f f' x)
   (exists_gt _).imp hf.exists_lipschitzOnWith_of_nnnorm_lt
 #align has_strict_fderiv_at.exists_lipschitz_on_with HasStrictFDerivAt.exists_lipschitzOnWith
 
-/- warning: has_fderiv_at.lim -> HasFDerivAt.lim is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at.lim HasFDerivAt.limₓ'. -/
 /-- Directional derivative agrees with `has_fderiv`. -/
 theorem HasFDerivAt.lim (hf : HasFDerivAt f f' x) (v : E) {α : Type _} {c : α → 𝕜} {l : Filter α}
     (hc : Tendsto (fun n => ‖c n‖) l atTop) :
@@ -655,43 +499,22 @@ theorem HasFDerivAt.lim (hf : HasFDerivAt f f' x) (v : E) {α : Type _} {c : α
   rw [← mul_smul, mul_inv_cancel hy, one_smul]
 #align has_fderiv_at.lim HasFDerivAt.lim
 
-/- warning: has_fderiv_at.unique -> HasFDerivAt.unique is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at.unique HasFDerivAt.uniqueₓ'. -/
 theorem HasFDerivAt.unique (h₀ : HasFDerivAt f f₀' x) (h₁ : HasFDerivAt f f₁' x) : f₀' = f₁' :=
   by
   rw [← hasFDerivWithinAt_univ] at h₀ h₁
   exact unique_diff_within_at_univ.eq h₀ h₁
 #align has_fderiv_at.unique HasFDerivAt.unique
 
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-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_inter' hasFDerivWithinAt_inter'ₓ'. -/
 theorem hasFDerivWithinAt_inter' (h : t ∈ 𝓝[s] x) :
     HasFDerivWithinAt f f' (s ∩ t) x ↔ HasFDerivWithinAt f f' s x := by
   simp [HasFDerivWithinAt, nhdsWithin_restrict'' s h]
 #align has_fderiv_within_at_inter' hasFDerivWithinAt_inter'
 
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) t (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Inter.inter.{u2} (Set.{u2} E) (Set.hasInter.{u2} E) s t) x) (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x))
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-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Membership.mem.{u3, u3} (Set.{u3} E) (Filter.{u3} E) (instMembershipSetFilter.{u3} E) t (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x)) -> (Iff (HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Inter.inter.{u3} (Set.{u3} E) (Set.instInterSet.{u3} E) s t) x) (HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x))
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_inter hasFDerivWithinAt_interₓ'. -/
 theorem hasFDerivWithinAt_inter (h : t ∈ 𝓝 x) :
     HasFDerivWithinAt f f' (s ∩ t) x ↔ HasFDerivWithinAt f f' s x := by
   simp [HasFDerivWithinAt, nhdsWithin_restrict' s h]
 #align has_fderiv_within_at_inter hasFDerivWithinAt_inter
 
-/- warning: has_fderiv_within_at.union -> HasFDerivWithinAt.union is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Union.union.{u2} (Set.{u2} E) (Set.hasUnion.{u2} E) s t) x)
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-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Union.union.{u2} (Set.{u2} E) (Set.instUnionSet.{u2} E) s t) x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.union HasFDerivWithinAt.unionₓ'. -/
 theorem HasFDerivWithinAt.union (hs : HasFDerivWithinAt f f' s x)
     (ht : HasFDerivWithinAt f f' t x) : HasFDerivWithinAt f f' (s ∪ t) x :=
   by
@@ -699,45 +522,21 @@ theorem HasFDerivWithinAt.union (hs : HasFDerivWithinAt f f' s x)
   exact hs.sup ht
 #align has_fderiv_within_at.union HasFDerivWithinAt.union
 
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x t)) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x t)) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.nhds_within HasFDerivWithinAt.nhdsWithinₓ'. -/
 theorem HasFDerivWithinAt.nhdsWithin (h : HasFDerivWithinAt f f' s x) (ht : s ∈ 𝓝[t] x) :
     HasFDerivWithinAt f f' t x :=
   (hasFDerivWithinAt_inter' ht).1 (h.mono (inter_subset_right _ _))
 #align has_fderiv_within_at.nhds_within HasFDerivWithinAt.nhdsWithin
 
-/- warning: has_fderiv_within_at.has_fderiv_at -> HasFDerivWithinAt.hasFDerivAt is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x)
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-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.has_fderiv_at HasFDerivWithinAt.hasFDerivAtₓ'. -/
 theorem HasFDerivWithinAt.hasFDerivAt (h : HasFDerivWithinAt f f' s x) (hs : s ∈ 𝓝 x) :
     HasFDerivAt f f' x := by
   rwa [← univ_inter s, hasFDerivWithinAt_inter hs, hasFDerivWithinAt_univ] at h
 #align has_fderiv_within_at.has_fderiv_at HasFDerivWithinAt.hasFDerivAt
 
-/- warning: differentiable_within_at.differentiable_at -> DifferentiableWithinAt.differentiableAt is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align differentiable_within_at.differentiable_at DifferentiableWithinAt.differentiableAtₓ'. -/
 theorem DifferentiableWithinAt.differentiableAt (h : DifferentiableWithinAt 𝕜 f s x)
     (hs : s ∈ 𝓝 x) : DifferentiableAt 𝕜 f x :=
   h.imp fun f' hf' => hf'.HasFDerivAt hs
 #align differentiable_within_at.differentiable_at DifferentiableWithinAt.differentiableAt
 
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-lean 3 declaration is
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align differentiable_within_at.has_fderiv_within_at DifferentiableWithinAt.hasFDerivWithinAtₓ'. -/
 theorem DifferentiableWithinAt.hasFDerivWithinAt (h : DifferentiableWithinAt 𝕜 f s x) :
     HasFDerivWithinAt f (fderivWithin 𝕜 f s x) s x :=
   by
@@ -747,12 +546,6 @@ theorem DifferentiableWithinAt.hasFDerivWithinAt (h : DifferentiableWithinAt 
   exact Classical.choose_spec h
 #align differentiable_within_at.has_fderiv_within_at DifferentiableWithinAt.hasFDerivWithinAt
 
-/- warning: differentiable_at.has_fderiv_at -> DifferentiableAt.hasFDerivAt is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E}, (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) x)
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align differentiable_at.has_fderiv_at DifferentiableAt.hasFDerivAtₓ'. -/
 theorem DifferentiableAt.hasFDerivAt (h : DifferentiableAt 𝕜 f x) :
     HasFDerivAt f (fderiv 𝕜 f x) x := by
   dsimp only [fderiv]
@@ -761,56 +554,29 @@ theorem DifferentiableAt.hasFDerivAt (h : DifferentiableAt 𝕜 f x) :
   exact Classical.choose_spec h
 #align differentiable_at.has_fderiv_at DifferentiableAt.hasFDerivAt
 
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-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) x)
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-Case conversion may be inaccurate. Consider using '#align differentiable_on.has_fderiv_at DifferentiableOn.hasFDerivAtₓ'. -/
 theorem DifferentiableOn.hasFDerivAt (h : DifferentiableOn 𝕜 f s) (hs : s ∈ 𝓝 x) :
     HasFDerivAt f (fderiv 𝕜 f x) x :=
   ((h x (mem_of_mem_nhds hs)).DifferentiableAt hs).HasFDerivAt
 #align differentiable_on.has_fderiv_at DifferentiableOn.hasFDerivAt
 
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
-Case conversion may be inaccurate. Consider using '#align differentiable_on.differentiable_at DifferentiableOn.differentiableAtₓ'. -/
 theorem DifferentiableOn.differentiableAt (h : DifferentiableOn 𝕜 f s) (hs : s ∈ 𝓝 x) :
     DifferentiableAt 𝕜 f x :=
   (h.HasFDerivAt hs).DifferentiableAt
 #align differentiable_on.differentiable_at DifferentiableOn.differentiableAt
 
-/- warning: differentiable_on.eventually_differentiable_at -> DifferentiableOn.eventually_differentiableAt is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (Filter.Eventually.{u2} E (fun (y : E) => DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (Filter.Eventually.{u2} E (fun (y : E) => DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x))
-Case conversion may be inaccurate. Consider using '#align differentiable_on.eventually_differentiable_at DifferentiableOn.eventually_differentiableAtₓ'. -/
 theorem DifferentiableOn.eventually_differentiableAt (h : DifferentiableOn 𝕜 f s) (hs : s ∈ 𝓝 x) :
     ∀ᶠ y in 𝓝 x, DifferentiableAt 𝕜 f y :=
   (eventually_eventually_nhds.2 hs).mono fun y => h.DifferentiableAt
 #align differentiable_on.eventually_differentiable_at DifferentiableOn.eventually_differentiableAt
 
-/- warning: has_fderiv_at.fderiv -> HasFDerivAt.fderiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at.fderiv HasFDerivAt.fderivₓ'. -/
 theorem HasFDerivAt.fderiv (h : HasFDerivAt f f' x) : fderiv 𝕜 f x = f' := by ext;
   rw [h.unique h.differentiable_at.has_fderiv_at]
 #align has_fderiv_at.fderiv HasFDerivAt.fderiv
 
-/- warning: fderiv_eq -> fderiv_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_eq fderiv_eqₓ'. -/
 theorem fderiv_eq {f' : E → E →L[𝕜] F} (h : ∀ x, HasFDerivAt f (f' x) x) : fderiv 𝕜 f = f' :=
   funext fun x => (h x).fderiv
 #align fderiv_eq fderiv_eq
 
-/- warning: fderiv_at.le_of_lip -> DifferentiableAt.le_of_lip is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_at.le_of_lip DifferentiableAt.le_of_lipₓ'. -/
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
 on a neighborhood of `x₀` then it its derivative at `x₀` has norm bounded by `C`.
 Version using `fderiv`. -/
@@ -819,20 +585,11 @@ theorem DifferentiableAt.le_of_lip {f : E → F} {x₀ : E} (hf : Differentiable
   hf.HasFDerivAt.le_of_lip hs hlip
 #align fderiv_at.le_of_lip DifferentiableAt.le_of_lip
 
-/- warning: has_fderiv_within_at.fderiv_within -> HasFDerivWithinAt.fderivWithin is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.fderiv_within HasFDerivWithinAt.fderivWithinₓ'. -/
 theorem HasFDerivWithinAt.fderivWithin (h : HasFDerivWithinAt f f' s x)
     (hxs : UniqueDiffWithinAt 𝕜 s x) : fderivWithin 𝕜 f s x = f' :=
   (hxs.Eq h h.DifferentiableWithinAt.HasFDerivWithinAt).symm
 #align has_fderiv_within_at.fderiv_within HasFDerivWithinAt.fderivWithin
 
-/- warning: has_fderiv_within_at_of_not_mem_closure -> hasFDerivWithinAt_of_not_mem_closure is a dubious translation:
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_of_not_mem_closure hasFDerivWithinAt_of_not_mem_closureₓ'. -/
 /-- If `x` is not in the closure of `s`, then `f` has any derivative at `x` within `s`,
 as this statement is empty. -/
 theorem hasFDerivWithinAt_of_not_mem_closure (h : x ∉ closure s) : HasFDerivWithinAt f f' s x :=
@@ -841,127 +598,58 @@ theorem hasFDerivWithinAt_of_not_mem_closure (h : x ∉ closure s) : HasFDerivWi
   simp [HasFDerivWithinAt, HasFDerivAtFilter, h, is_o, is_O_with]
 #align has_fderiv_within_at_of_not_mem_closure hasFDerivWithinAt_of_not_mem_closure
 
-/- warning: differentiable_within_at.mono -> DifferentiableWithinAt.mono is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align differentiable_within_at.mono DifferentiableWithinAt.monoₓ'. -/
 theorem DifferentiableWithinAt.mono (h : DifferentiableWithinAt 𝕜 f t x) (st : s ⊆ t) :
     DifferentiableWithinAt 𝕜 f s x := by
   rcases h with ⟨f', hf'⟩
   exact ⟨f', hf'.mono st⟩
 #align differentiable_within_at.mono DifferentiableWithinAt.mono
 
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align differentiable_within_at.mono_of_mem DifferentiableWithinAt.mono_of_memₓ'. -/
 theorem DifferentiableWithinAt.mono_of_mem (h : DifferentiableWithinAt 𝕜 f s x) {t : Set E}
     (hst : s ∈ 𝓝[t] x) : DifferentiableWithinAt 𝕜 f t x :=
   (h.HasFDerivWithinAt.mono_of_mem hst).DifferentiableWithinAt
 #align differentiable_within_at.mono_of_mem DifferentiableWithinAt.mono_of_mem
 
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 theorem differentiableWithinAt_univ : DifferentiableWithinAt 𝕜 f univ x ↔ DifferentiableAt 𝕜 f x :=
   by simp only [DifferentiableWithinAt, hasFDerivWithinAt_univ, DifferentiableAt]
 #align differentiable_within_at_univ differentiableWithinAt_univ
 
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 theorem differentiableWithinAt_inter (ht : t ∈ 𝓝 x) :
     DifferentiableWithinAt 𝕜 f (s ∩ t) x ↔ DifferentiableWithinAt 𝕜 f s x := by
   simp only [DifferentiableWithinAt, hasFDerivWithinAt_inter ht]
 #align differentiable_within_at_inter differentiableWithinAt_inter
 
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-Case conversion may be inaccurate. Consider using '#align differentiable_within_at_inter' differentiableWithinAt_inter'ₓ'. -/
 theorem differentiableWithinAt_inter' (ht : t ∈ 𝓝[s] x) :
     DifferentiableWithinAt 𝕜 f (s ∩ t) x ↔ DifferentiableWithinAt 𝕜 f s x := by
   simp only [DifferentiableWithinAt, hasFDerivWithinAt_inter' ht]
 #align differentiable_within_at_inter' differentiableWithinAt_inter'
 
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 theorem DifferentiableAt.differentiableWithinAt (h : DifferentiableAt 𝕜 f x) :
     DifferentiableWithinAt 𝕜 f s x :=
   (differentiableWithinAt_univ.2 h).mono (subset_univ _)
 #align differentiable_at.differentiable_within_at DifferentiableAt.differentiableWithinAt
 
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-Case conversion may be inaccurate. Consider using '#align differentiable.differentiable_at Differentiable.differentiableAtₓ'. -/
 theorem Differentiable.differentiableAt (h : Differentiable 𝕜 f) : DifferentiableAt 𝕜 f x :=
   h x
 #align differentiable.differentiable_at Differentiable.differentiableAt
 
-/- warning: differentiable_at.fderiv_within -> DifferentiableAt.fderivWithin is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align differentiable_at.fderiv_within DifferentiableAt.fderivWithinₓ'. -/
 theorem DifferentiableAt.fderivWithin (h : DifferentiableAt 𝕜 f x)
     (hxs : UniqueDiffWithinAt 𝕜 s x) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
   h.HasFDerivAt.HasFDerivWithinAt.fderivWithin hxs
 #align differentiable_at.fderiv_within DifferentiableAt.fderivWithin
 
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-Case conversion may be inaccurate. Consider using '#align differentiable_on.mono DifferentiableOn.monoₓ'. -/
 theorem DifferentiableOn.mono (h : DifferentiableOn 𝕜 f t) (st : s ⊆ t) : DifferentiableOn 𝕜 f s :=
   fun x hx => (h x (st hx)).mono st
 #align differentiable_on.mono DifferentiableOn.mono
 
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-Case conversion may be inaccurate. Consider using '#align differentiable_on_univ differentiableOn_univₓ'. -/
 theorem differentiableOn_univ : DifferentiableOn 𝕜 f univ ↔ Differentiable 𝕜 f := by
   simp only [DifferentiableOn, Differentiable, differentiableWithinAt_univ, mem_univ,
     forall_true_left]
 #align differentiable_on_univ differentiableOn_univ
 
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-Case conversion may be inaccurate. Consider using '#align differentiable.differentiable_on Differentiable.differentiableOnₓ'. -/
 theorem Differentiable.differentiableOn (h : Differentiable 𝕜 f) : DifferentiableOn 𝕜 f s :=
   (differentiableOn_univ.2 h).mono (subset_univ _)
 #align differentiable.differentiable_on Differentiable.differentiableOn
 
-/- warning: differentiable_on_of_locally_differentiable_on -> differentiableOn_of_locally_differentiableOn is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {s : Set.{u2} E}, (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Exists.{succ u2} (Set.{u2} E) (fun (u : Set.{u2} E) => And (IsOpen.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) u) (And (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x u) (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u2} (Set.{u2} E) (Set.hasInter.{u2} E) s u)))))) -> (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {s : Set.{u3} E}, (forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x s) -> (Exists.{succ u3} (Set.{u3} E) (fun (u : Set.{u3} E) => And (IsOpen.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) u) (And (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x u) (DifferentiableOn.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u3} (Set.{u3} E) (Set.instInterSet.{u3} E) s u)))))) -> (DifferentiableOn.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s)
-Case conversion may be inaccurate. Consider using '#align differentiable_on_of_locally_differentiable_on differentiableOn_of_locally_differentiableOnₓ'. -/
 theorem differentiableOn_of_locally_differentiableOn
     (h : ∀ x ∈ s, ∃ u, IsOpen u ∧ x ∈ u ∧ DifferentiableOn 𝕜 f (s ∩ u)) : DifferentiableOn 𝕜 f s :=
   by
@@ -970,57 +658,33 @@ theorem differentiableOn_of_locally_differentiableOn
   exact (differentiableWithinAt_inter (IsOpen.mem_nhds t_open xt)).1 (ht x ⟨xs, xt⟩)
 #align differentiable_on_of_locally_differentiable_on differentiableOn_of_locally_differentiableOn
 
-/- warning: fderiv_within_of_mem -> fderivWithin_of_mem is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_within_of_mem fderivWithin_of_memₓ'. -/
 theorem fderivWithin_of_mem (st : t ∈ 𝓝[s] x) (ht : UniqueDiffWithinAt 𝕜 s x)
     (h : DifferentiableWithinAt 𝕜 f t x) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
   ((DifferentiableWithinAt.hasFDerivWithinAt h).mono_of_mem st).fderivWithin ht
 #align fderiv_within_of_mem fderivWithin_of_mem
 
-/- warning: fderiv_within_subset -> fderivWithin_subset is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_within_subset fderivWithin_subsetₓ'. -/
 theorem fderivWithin_subset (st : s ⊆ t) (ht : UniqueDiffWithinAt 𝕜 s x)
     (h : DifferentiableWithinAt 𝕜 f t x) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
   fderivWithin_of_mem (nhdsWithin_mono _ st self_mem_nhdsWithin) ht h
 #align fderiv_within_subset fderivWithin_subset
 
-/- warning: fderiv_within_inter -> fderivWithin_inter is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_within_inter fderivWithin_interₓ'. -/
 theorem fderivWithin_inter (ht : t ∈ 𝓝 x) : fderivWithin 𝕜 f (s ∩ t) x = fderivWithin 𝕜 f s x := by
   simp only [fderivWithin, hasFDerivWithinAt_inter ht]
 #align fderiv_within_inter fderivWithin_inter
 
-/- warning: fderiv_within_of_mem_nhds -> fderivWithin_of_mem_nhds is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_within_of_mem_nhds fderivWithin_of_mem_nhdsₓ'. -/
 theorem fderivWithin_of_mem_nhds (h : s ∈ 𝓝 x) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x := by
   simp only [fderiv, fderivWithin, HasFDerivAt, HasFDerivWithinAt, nhdsWithin_eq_nhds.2 h]
 #align fderiv_within_of_mem_nhds fderivWithin_of_mem_nhds
 
-/- warning: fderiv_within_univ -> fderivWithin_univ is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align fderiv_within_univ fderivWithin_univₓ'. -/
 @[simp]
 theorem fderivWithin_univ : fderivWithin 𝕜 f univ = fderiv 𝕜 f :=
   funext fun _ => fderivWithin_of_mem_nhds univ_mem
 #align fderiv_within_univ fderivWithin_univ
 
-/- warning: fderiv_within_of_open -> fderivWithin_of_open is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_within_of_open fderivWithin_of_openₓ'. -/
 theorem fderivWithin_of_open (hs : IsOpen s) (hx : x ∈ s) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
   fderivWithin_of_mem_nhds (hs.mem_nhds hx)
 #align fderiv_within_of_open fderivWithin_of_open
 
-/- warning: fderiv_within_eq_fderiv -> fderivWithin_eq_fderiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_within_eq_fderiv fderivWithin_eq_fderivₓ'. -/
 theorem fderivWithin_eq_fderiv (hs : UniqueDiffWithinAt 𝕜 s x) (h : DifferentiableAt 𝕜 f x) :
     fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
   by
@@ -1036,9 +700,6 @@ theorem fderiv_mem_iff {f : E → F} {s : Set (E →L[𝕜] F)} {x : E} :
 #align fderiv_mem_iff fderiv_mem_iff
 -/
 
-/- warning: fderiv_within_mem_iff -> fderivWithin_mem_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_within_mem_iff fderivWithin_mem_iffₓ'. -/
 theorem fderivWithin_mem_iff {f : E → F} {t : Set E} {s : Set (E →L[𝕜] F)} {x : E} :
     fderivWithin 𝕜 f t x ∈ s ↔
       DifferentiableWithinAt 𝕜 f t x ∧ fderivWithin 𝕜 f t x ∈ s ∨
@@ -1048,9 +709,6 @@ theorem fderivWithin_mem_iff {f : E → F} {t : Set E} {s : Set (E →L[𝕜] F)
     simp [fderivWithin_zero_of_not_differentiableWithinAt, *]
 #align fderiv_within_mem_iff fderivWithin_mem_iff
 
-/- warning: asymptotics.is_O.has_fderiv_within_at -> Asymptotics.IsBigO.hasFDerivWithinAt is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align asymptotics.is_O.has_fderiv_within_at Asymptotics.IsBigO.hasFDerivWithinAtₓ'. -/
 theorem Asymptotics.IsBigO.hasFDerivWithinAt {s : Set E} {x₀ : E} {n : ℕ}
     (h : f =O[𝓝[s] x₀] fun x => ‖x - x₀‖ ^ n) (hx₀ : x₀ ∈ s) (hn : 1 < n) :
     HasFDerivWithinAt f (0 : E →L[𝕜] F) s x₀ := by
@@ -1059,9 +717,6 @@ theorem Asymptotics.IsBigO.hasFDerivWithinAt {s : Set E} {x₀ : E} {n : ℕ}
     h.trans_is_o ((is_o_pow_sub_sub x₀ hn).mono nhdsWithin_le_nhds)]
 #align asymptotics.is_O.has_fderiv_within_at Asymptotics.IsBigO.hasFDerivWithinAt
 
-/- warning: asymptotics.is_O.has_fderiv_at -> Asymptotics.IsBigO.hasFDerivAt is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align asymptotics.is_O.has_fderiv_at Asymptotics.IsBigO.hasFDerivAtₓ'. -/
 theorem Asymptotics.IsBigO.hasFDerivAt {x₀ : E} {n : ℕ} (h : f =O[𝓝 x₀] fun x => ‖x - x₀‖ ^ n)
     (hn : 1 < n) : HasFDerivAt f (0 : E →L[𝕜] F) x₀ :=
   by
@@ -1069,23 +724,11 @@ theorem Asymptotics.IsBigO.hasFDerivAt {x₀ : E} {n : ℕ} (h : f =O[𝓝 x₀]
   exact (h.has_fderiv_within_at (mem_univ _) hn).hasFDerivAt_of_univ
 #align asymptotics.is_O.has_fderiv_at Asymptotics.IsBigO.hasFDerivAt
 
-/- warning: has_fderiv_within_at.is_O -> HasFDerivWithinAt.isBigO is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {s : Set.{u2} E} {x₀ : E} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x₀) -> (Asymptotics.IsBigO.{u2, u3, u2} E F E (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x₀ s) (fun (x : E) => HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (f x) (f x₀)) (fun (x : E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x x₀))
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-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {s : Set.{u3} E} {x₀ : E} {f' : ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x₀) -> (Asymptotics.IsBigO.{u3, u1, u3} E F E (NormedAddCommGroup.toNorm.{u1} F _inst_4) (NormedAddCommGroup.toNorm.{u3} E _inst_2) (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x₀ s) (fun (x : E) => HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (f x) (f x₀)) (fun (x : E) => HSub.hSub.{u3, u3, u3} E E E (instHSub.{u3} E (SubNegMonoid.toSub.{u3} E (AddGroup.toSubNegMonoid.{u3} E (NormedAddGroup.toAddGroup.{u3} E (NormedAddCommGroup.toNormedAddGroup.{u3} E _inst_2))))) x x₀))
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.is_O HasFDerivWithinAt.isBigOₓ'. -/
 theorem HasFDerivWithinAt.isBigO {f : E → F} {s : Set E} {x₀ : E} {f' : E →L[𝕜] F}
     (h : HasFDerivWithinAt f f' s x₀) : (fun x => f x - f x₀) =O[𝓝[s] x₀] fun x => x - x₀ := by
   simpa only [sub_add_cancel] using h.is_O.add (is_O_sub f' (𝓝[s] x₀) x₀)
 #align has_fderiv_within_at.is_O HasFDerivWithinAt.isBigO
 
-/- warning: has_fderiv_at.is_O -> HasFDerivAt.isBigO is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x₀ : E} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x₀) -> (Asymptotics.IsBigO.{u2, u3, u2} E F E (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x₀) (fun (x : E) => HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (f x) (f x₀)) (fun (x : E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x x₀))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x₀ : E} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x₀) -> (Asymptotics.IsBigO.{u2, u1, u2} E F E (NormedAddCommGroup.toNorm.{u1} F _inst_4) (NormedAddCommGroup.toNorm.{u2} E _inst_2) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x₀) (fun (x : E) => HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (f x) (f x₀)) (fun (x : E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x x₀))
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at.is_O HasFDerivAt.isBigOₓ'. -/
 theorem HasFDerivAt.isBigO {f : E → F} {x₀ : E} {f' : E →L[𝕜] F} (h : HasFDerivAt f f' x₀) :
     (fun x => f x - f x₀) =O[𝓝 x₀] fun x => x - x₀ := by
   simpa only [sub_add_cancel] using h.is_O.add (is_O_sub f' (𝓝 x₀) x₀)
@@ -1098,12 +741,6 @@ section Continuous
 /-! ### Deducing continuity from differentiability -/
 
 
-/- warning: has_fderiv_at_filter.tendsto_nhds -> HasFDerivAtFilter.tendsto_nhds is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {L : Filter.{u2} E}, (LE.le.{u2} (Filter.{u2} E) (Preorder.toHasLe.{u2} (Filter.{u2} E) (PartialOrder.toPreorder.{u2} (Filter.{u2} E) (Filter.partialOrder.{u2} E))) L (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L) -> (Filter.Tendsto.{u2, u3} E F f L (nhds.{u3} F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (f x)))
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-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {L : Filter.{u3} E}, (LE.le.{u3} (Filter.{u3} E) (Preorder.toLE.{u3} (Filter.{u3} E) (PartialOrder.toPreorder.{u3} (Filter.{u3} E) (Filter.instPartialOrderFilter.{u3} E))) L (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x)) -> (HasFDerivAtFilter.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L) -> (Filter.Tendsto.{u3, u1} E F f L (nhds.{u1} F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (f x)))
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at_filter.tendsto_nhds HasFDerivAtFilter.tendsto_nhdsₓ'. -/
 theorem HasFDerivAtFilter.tendsto_nhds (hL : L ≤ 𝓝 x) (h : HasFDerivAtFilter f f' x L) :
     Tendsto f L (𝓝 (f x)) :=
   by
@@ -1116,84 +753,39 @@ theorem HasFDerivAtFilter.tendsto_nhds (hL : L ≤ 𝓝 x) (h : HasFDerivAtFilte
   exact this.congr (by simp only [sub_add_cancel, eq_self_iff_true, forall_const])
 #align has_fderiv_at_filter.tendsto_nhds HasFDerivAtFilter.tendsto_nhds
 
-/- warning: has_fderiv_within_at.continuous_within_at -> HasFDerivWithinAt.continuousWithinAt is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (ContinuousWithinAt.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) f s x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (ContinuousWithinAt.{u2, u1} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) f s x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.continuous_within_at HasFDerivWithinAt.continuousWithinAtₓ'. -/
 theorem HasFDerivWithinAt.continuousWithinAt (h : HasFDerivWithinAt f f' s x) :
     ContinuousWithinAt f s x :=
   HasFDerivAtFilter.tendsto_nhds inf_le_left h
 #align has_fderiv_within_at.continuous_within_at HasFDerivWithinAt.continuousWithinAt
 
-/- warning: has_fderiv_at.continuous_at -> HasFDerivAt.continuousAt is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (ContinuousAt.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) f x)
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-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (ContinuousAt.{u2, u1} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) f x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at.continuous_at HasFDerivAt.continuousAtₓ'. -/
 theorem HasFDerivAt.continuousAt (h : HasFDerivAt f f' x) : ContinuousAt f x :=
   HasFDerivAtFilter.tendsto_nhds le_rfl h
 #align has_fderiv_at.continuous_at HasFDerivAt.continuousAt
 
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-Case conversion may be inaccurate. Consider using '#align differentiable_within_at.continuous_within_at DifferentiableWithinAt.continuousWithinAtₓ'. -/
 theorem DifferentiableWithinAt.continuousWithinAt (h : DifferentiableWithinAt 𝕜 f s x) :
     ContinuousWithinAt f s x :=
   let ⟨f', hf'⟩ := h
   hf'.ContinuousWithinAt
 #align differentiable_within_at.continuous_within_at DifferentiableWithinAt.continuousWithinAt
 
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-Case conversion may be inaccurate. Consider using '#align differentiable_at.continuous_at DifferentiableAt.continuousAtₓ'. -/
 theorem DifferentiableAt.continuousAt (h : DifferentiableAt 𝕜 f x) : ContinuousAt f x :=
   let ⟨f', hf'⟩ := h
   hf'.ContinuousAt
 #align differentiable_at.continuous_at DifferentiableAt.continuousAt
 
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-Case conversion may be inaccurate. Consider using '#align differentiable_on.continuous_on DifferentiableOn.continuousOnₓ'. -/
 theorem DifferentiableOn.continuousOn (h : DifferentiableOn 𝕜 f s) : ContinuousOn f s := fun x hx =>
   (h x hx).ContinuousWithinAt
 #align differentiable_on.continuous_on DifferentiableOn.continuousOn
 
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-Case conversion may be inaccurate. Consider using '#align differentiable.continuous Differentiable.continuousₓ'. -/
 theorem Differentiable.continuous (h : Differentiable 𝕜 f) : Continuous f :=
   continuous_iff_continuousAt.2 fun x => (h x).ContinuousAt
 #align differentiable.continuous Differentiable.continuous
 
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-Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.continuous_at HasStrictFDerivAt.continuousAtₓ'. -/
 protected theorem HasStrictFDerivAt.continuousAt (hf : HasStrictFDerivAt f f' x) :
     ContinuousAt f x :=
   hf.HasFDerivAt.ContinuousAt
 #align has_strict_fderiv_at.continuous_at HasStrictFDerivAt.continuousAt
 
-/- warning: has_strict_fderiv_at.is_O_sub_rev -> HasStrictFDerivAt.isBigO_sub_rev is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.is_O_sub_rev HasStrictFDerivAt.isBigO_sub_revₓ'. -/
 theorem HasStrictFDerivAt.isBigO_sub_rev {f' : E ≃L[𝕜] F}
     (hf : HasStrictFDerivAt f (f' : E →L[𝕜] F) x) :
     (fun p : E × E => p.1 - p.2) =O[𝓝 (x, x)] fun p : E × E => f p.1 - f p.2 :=
@@ -1201,9 +793,6 @@ theorem HasStrictFDerivAt.isBigO_sub_rev {f' : E ≃L[𝕜] F}
     (fun _ => rfl) fun _ => sub_add_cancel _ _
 #align has_strict_fderiv_at.is_O_sub_rev HasStrictFDerivAt.isBigO_sub_rev
 
-/- warning: has_fderiv_at_filter.is_O_sub_rev -> HasFDerivAtFilter.isBigO_sub_rev is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at_filter.is_O_sub_rev HasFDerivAtFilter.isBigO_sub_revₓ'. -/
 theorem HasFDerivAtFilter.isBigO_sub_rev (hf : HasFDerivAtFilter f f' x L) {C}
     (hf' : AntilipschitzWith C f') : (fun x' => x' - x) =O[L] fun x' => f x' - f x :=
   have : (fun x' => x' - x) =O[L] fun x' => f' (x' - x) :=
@@ -1220,12 +809,6 @@ section congr
 /-! ### congr properties of the derivative -/
 
 
-/- warning: has_fderiv_within_at_congr_set' -> hasFDerivWithinAt_congr_set' is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E} (y : E), (Filter.EventuallyEq.{u2, 0} E Prop (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x (HasCompl.compl.{u2} (Set.{u2} E) (BooleanAlgebra.toHasCompl.{u2} (Set.{u2} E) (Set.booleanAlgebra.{u2} E)) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) y))) s t) -> (Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x))
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-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u3} E} {t : Set.{u3} E} (y : E), (Filter.EventuallyEq.{u3, 0} E Prop (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x (HasCompl.compl.{u3} (Set.{u3} E) (BooleanAlgebra.toHasCompl.{u3} (Set.{u3} E) (Set.instBooleanAlgebraSet.{u3} E)) (Singleton.singleton.{u3, u3} E (Set.{u3} E) (Set.instSingletonSet.{u3} E) y))) s t) -> (Iff (HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) (HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x))
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_congr_set' hasFDerivWithinAt_congr_set'ₓ'. -/
 theorem hasFDerivWithinAt_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
     HasFDerivWithinAt f f' s x ↔ HasFDerivWithinAt f f' t x :=
   calc
@@ -1240,73 +823,40 @@ theorem hasFDerivWithinAt_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
     
 #align has_fderiv_within_at_congr_set' hasFDerivWithinAt_congr_set'
 
-/- warning: has_fderiv_within_at_congr_set -> hasFDerivWithinAt_congr_set is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Filter.EventuallyEq.{u2, 0} E Prop (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) s t) -> (Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x))
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-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Filter.EventuallyEq.{u3, 0} E Prop (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) s t) -> (Iff (HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) (HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x))
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_congr_set hasFDerivWithinAt_congr_setₓ'. -/
 theorem hasFDerivWithinAt_congr_set (h : s =ᶠ[𝓝 x] t) :
     HasFDerivWithinAt f f' s x ↔ HasFDerivWithinAt f f' t x :=
   hasFDerivWithinAt_congr_set' x <| h.filter_mono inf_le_left
 #align has_fderiv_within_at_congr_set hasFDerivWithinAt_congr_set
 
-/- warning: differentiable_within_at_congr_set' -> differentiableWithinAt_congr_set' is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E} (y : E), (Filter.EventuallyEq.{u2, 0} E Prop (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x (HasCompl.compl.{u2} (Set.{u2} E) (BooleanAlgebra.toHasCompl.{u2} (Set.{u2} E) (Set.booleanAlgebra.{u2} E)) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) y))) s t) -> (Iff (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
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-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E} (y : E), (Filter.EventuallyEq.{u3, 0} E Prop (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x (HasCompl.compl.{u3} (Set.{u3} E) (BooleanAlgebra.toHasCompl.{u3} (Set.{u3} E) (Set.instBooleanAlgebraSet.{u3} E)) (Singleton.singleton.{u3, u3} E (Set.{u3} E) (Set.instSingletonSet.{u3} E) y))) s t) -> (Iff (DifferentiableWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (DifferentiableWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
-Case conversion may be inaccurate. Consider using '#align differentiable_within_at_congr_set' differentiableWithinAt_congr_set'ₓ'. -/
 theorem differentiableWithinAt_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
     DifferentiableWithinAt 𝕜 f s x ↔ DifferentiableWithinAt 𝕜 f t x :=
   exists_congr fun _ => hasFDerivWithinAt_congr_set' _ h
 #align differentiable_within_at_congr_set' differentiableWithinAt_congr_set'
 
-/- warning: differentiable_within_at_congr_set -> differentiableWithinAt_congr_set is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align differentiable_within_at_congr_set differentiableWithinAt_congr_setₓ'. -/
 theorem differentiableWithinAt_congr_set (h : s =ᶠ[𝓝 x] t) :
     DifferentiableWithinAt 𝕜 f s x ↔ DifferentiableWithinAt 𝕜 f t x :=
   exists_congr fun _ => hasFDerivWithinAt_congr_set h
 #align differentiable_within_at_congr_set differentiableWithinAt_congr_set
 
-/- warning: fderiv_within_congr_set' -> fderivWithin_congr_set' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_within_congr_set' fderivWithin_congr_set'ₓ'. -/
 theorem fderivWithin_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
     fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x := by
   simp only [fderivWithin, hasFDerivWithinAt_congr_set' y h]
 #align fderiv_within_congr_set' fderivWithin_congr_set'
 
-/- warning: fderiv_within_congr_set -> fderivWithin_congr_set is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_within_congr_set fderivWithin_congr_setₓ'. -/
 theorem fderivWithin_congr_set (h : s =ᶠ[𝓝 x] t) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
   fderivWithin_congr_set' x <| h.filter_mono inf_le_left
 #align fderiv_within_congr_set fderivWithin_congr_set
 
-/- warning: fderiv_within_eventually_congr_set' -> fderivWithin_eventually_congr_set' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_within_eventually_congr_set' fderivWithin_eventually_congr_set'ₓ'. -/
 theorem fderivWithin_eventually_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
     fderivWithin 𝕜 f s =ᶠ[𝓝 x] fderivWithin 𝕜 f t :=
   (eventually_nhds_nhdsWithin.2 h).mono fun _ => fderivWithin_congr_set' y
 #align fderiv_within_eventually_congr_set' fderivWithin_eventually_congr_set'
 
-/- warning: fderiv_within_eventually_congr_set -> fderivWithin_eventually_congr_set is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_within_eventually_congr_set fderivWithin_eventually_congr_setₓ'. -/
 theorem fderivWithin_eventually_congr_set (h : s =ᶠ[𝓝 x] t) :
     fderivWithin 𝕜 f s =ᶠ[𝓝 x] fderivWithin 𝕜 f t :=
   fderivWithin_eventually_congr_set' x <| h.filter_mono inf_le_left
 #align fderiv_within_eventually_congr_set fderivWithin_eventually_congr_set
 
-/- warning: filter.eventually_eq.has_strict_fderiv_at_iff -> Filter.EventuallyEq.hasStrictFDerivAt_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.has_strict_fderiv_at_iff Filter.EventuallyEq.hasStrictFDerivAt_iffₓ'. -/
 theorem Filter.EventuallyEq.hasStrictFDerivAt_iff (h : f₀ =ᶠ[𝓝 x] f₁) (h' : ∀ y, f₀' y = f₁' y) :
     HasStrictFDerivAt f₀ f₀' x ↔ HasStrictFDerivAt f₁ f₁' x :=
   by
@@ -1315,254 +865,122 @@ theorem Filter.EventuallyEq.hasStrictFDerivAt_iff (h : f₀ =ᶠ[𝓝 x] f₁) (
   simp only [*]
 #align filter.eventually_eq.has_strict_fderiv_at_iff Filter.EventuallyEq.hasStrictFDerivAt_iff
 
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-Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.congr_of_eventually_eq HasStrictFDerivAt.congr_of_eventuallyEqₓ'. -/
 theorem HasStrictFDerivAt.congr_of_eventuallyEq (h : HasStrictFDerivAt f f' x) (h₁ : f =ᶠ[𝓝 x] f₁) :
     HasStrictFDerivAt f₁ f' x :=
   (h₁.hasStrictFDerivAt_iff fun _ => rfl).1 h
 #align has_strict_fderiv_at.congr_of_eventually_eq HasStrictFDerivAt.congr_of_eventuallyEq
 
-/- warning: filter.eventually_eq.has_fderiv_at_filter_iff -> Filter.EventuallyEq.hasFDerivAtFilter_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.has_fderiv_at_filter_iff Filter.EventuallyEq.hasFDerivAtFilter_iffₓ'. -/
 theorem Filter.EventuallyEq.hasFDerivAtFilter_iff (h₀ : f₀ =ᶠ[L] f₁) (hx : f₀ x = f₁ x)
     (h₁ : ∀ x, f₀' x = f₁' x) : HasFDerivAtFilter f₀ f₀' x L ↔ HasFDerivAtFilter f₁ f₁' x L :=
   isLittleO_congr (h₀.mono fun y hy => by simp only [hy, h₁, hx])
     (eventually_of_forall fun _ => rfl)
 #align filter.eventually_eq.has_fderiv_at_filter_iff Filter.EventuallyEq.hasFDerivAtFilter_iff
 
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-Case conversion may be inaccurate. Consider using '#align has_fderiv_at_filter.congr_of_eventually_eq HasFDerivAtFilter.congr_of_eventuallyEqₓ'. -/
 theorem HasFDerivAtFilter.congr_of_eventuallyEq (h : HasFDerivAtFilter f f' x L) (hL : f₁ =ᶠ[L] f)
     (hx : f₁ x = f x) : HasFDerivAtFilter f₁ f' x L :=
   (hL.hasFDerivAtFilter_iff hx fun _ => rfl).2 h
 #align has_fderiv_at_filter.congr_of_eventually_eq HasFDerivAtFilter.congr_of_eventuallyEq
 
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (Filter.EventuallyEq.{u2, u3} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₀ f₁) -> (Iff (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ f' x) (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' x))
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-Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.has_fderiv_at_iff Filter.EventuallyEq.hasFDerivAt_iffₓ'. -/
 theorem Filter.EventuallyEq.hasFDerivAt_iff (h : f₀ =ᶠ[𝓝 x] f₁) :
     HasFDerivAt f₀ f' x ↔ HasFDerivAt f₁ f' x :=
   h.hasFDerivAtFilter_iff h.eq_of_nhds fun _ => rfl
 #align filter.eventually_eq.has_fderiv_at_iff Filter.EventuallyEq.hasFDerivAt_iff
 
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-Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.differentiable_at_iff Filter.EventuallyEq.differentiableAt_iffₓ'. -/
 theorem Filter.EventuallyEq.differentiableAt_iff (h : f₀ =ᶠ[𝓝 x] f₁) :
     DifferentiableAt 𝕜 f₀ x ↔ DifferentiableAt 𝕜 f₁ x :=
   exists_congr fun f' => h.hasFDerivAt_iff
 #align filter.eventually_eq.differentiable_at_iff Filter.EventuallyEq.differentiableAt_iff
 
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-Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.has_fderiv_within_at_iff Filter.EventuallyEq.hasFDerivWithinAt_iffₓ'. -/
 theorem Filter.EventuallyEq.hasFDerivWithinAt_iff (h : f₀ =ᶠ[𝓝[s] x] f₁) (hx : f₀ x = f₁ x) :
     HasFDerivWithinAt f₀ f' s x ↔ HasFDerivWithinAt f₁ f' s x :=
   h.hasFDerivAtFilter_iff hx fun _ => rfl
 #align filter.eventually_eq.has_fderiv_within_at_iff Filter.EventuallyEq.hasFDerivWithinAt_iff
 
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (Filter.EventuallyEq.{u2, u3} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₀ f₁) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ f' s x) (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x))
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-Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.has_fderiv_within_at_iff_of_mem Filter.EventuallyEq.hasFDerivWithinAt_iff_of_memₓ'. -/
 theorem Filter.EventuallyEq.hasFDerivWithinAt_iff_of_mem (h : f₀ =ᶠ[𝓝[s] x] f₁) (hx : x ∈ s) :
     HasFDerivWithinAt f₀ f' s x ↔ HasFDerivWithinAt f₁ f' s x :=
   h.hasFDerivWithinAt_iff (h.eq_of_nhdsWithin hx)
 #align filter.eventually_eq.has_fderiv_within_at_iff_of_mem Filter.EventuallyEq.hasFDerivWithinAt_iff_of_mem
 
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-Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.differentiable_within_at_iff Filter.EventuallyEq.differentiableWithinAt_iffₓ'. -/
 theorem Filter.EventuallyEq.differentiableWithinAt_iff (h : f₀ =ᶠ[𝓝[s] x] f₁) (hx : f₀ x = f₁ x) :
     DifferentiableWithinAt 𝕜 f₀ s x ↔ DifferentiableWithinAt 𝕜 f₁ s x :=
   exists_congr fun f' => h.hasFDerivWithinAt_iff hx
 #align filter.eventually_eq.differentiable_within_at_iff Filter.EventuallyEq.differentiableWithinAt_iff
 
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-Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.differentiable_within_at_iff_of_mem Filter.EventuallyEq.differentiableWithinAt_iff_of_memₓ'. -/
 theorem Filter.EventuallyEq.differentiableWithinAt_iff_of_mem (h : f₀ =ᶠ[𝓝[s] x] f₁) (hx : x ∈ s) :
     DifferentiableWithinAt 𝕜 f₀ s x ↔ DifferentiableWithinAt 𝕜 f₁ s x :=
   h.differentiableWithinAt_iff (h.eq_of_nhdsWithin hx)
 #align filter.eventually_eq.differentiable_within_at_iff_of_mem Filter.EventuallyEq.differentiableWithinAt_iff_of_mem
 
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-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.congr_mono HasFDerivWithinAt.congr_monoₓ'. -/
 theorem HasFDerivWithinAt.congr_mono (h : HasFDerivWithinAt f f' s x) (ht : EqOn f₁ f t)
     (hx : f₁ x = f x) (h₁ : t ⊆ s) : HasFDerivWithinAt f₁ f' t x :=
   HasFDerivAtFilter.congr_of_eventuallyEq (h.mono h₁) (Filter.mem_inf_of_right ht) hx
 #align has_fderiv_within_at.congr_mono HasFDerivWithinAt.congr_mono
 
-/- warning: has_fderiv_within_at.congr -> HasFDerivWithinAt.congr is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Set.EqOn.{u2, u3} E F f₁ f s) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
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-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Set.EqOn.{u2, u1} E F f₁ f s) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.congr HasFDerivWithinAt.congrₓ'. -/
 theorem HasFDerivWithinAt.congr (h : HasFDerivWithinAt f f' s x) (hs : EqOn f₁ f s)
     (hx : f₁ x = f x) : HasFDerivWithinAt f₁ f' s x :=
   h.congr_mono hs hx (Subset.refl _)
 #align has_fderiv_within_at.congr HasFDerivWithinAt.congr
 
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Set.EqOn.{u2, u3} E F f₁ f s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
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-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Set.EqOn.{u2, u1} E F f₁ f s) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.congr' HasFDerivWithinAt.congr'ₓ'. -/
 theorem HasFDerivWithinAt.congr' (h : HasFDerivWithinAt f f' s x) (hs : EqOn f₁ f s) (hx : x ∈ s) :
     HasFDerivWithinAt f₁ f' s x :=
   h.congr hs (hs hx)
 #align has_fderiv_within_at.congr' HasFDerivWithinAt.congr'
 
-/- warning: has_fderiv_within_at.congr_of_eventually_eq -> HasFDerivWithinAt.congr_of_eventuallyEq is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Filter.EventuallyEq.{u2, u3} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Filter.EventuallyEq.{u2, u1} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.congr_of_eventually_eq HasFDerivWithinAt.congr_of_eventuallyEqₓ'. -/
 theorem HasFDerivWithinAt.congr_of_eventuallyEq (h : HasFDerivWithinAt f f' s x)
     (h₁ : f₁ =ᶠ[𝓝[s] x] f) (hx : f₁ x = f x) : HasFDerivWithinAt f₁ f' s x :=
   HasFDerivAtFilter.congr_of_eventuallyEq h h₁ hx
 #align has_fderiv_within_at.congr_of_eventually_eq HasFDerivWithinAt.congr_of_eventuallyEq
 
-/- warning: has_fderiv_at.congr_of_eventually_eq -> HasFDerivAt.congr_of_eventuallyEq is a dubious translation:
-lean 3 declaration is
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 theorem HasFDerivAt.congr_of_eventuallyEq (h : HasFDerivAt f f' x) (h₁ : f₁ =ᶠ[𝓝 x] f) :
     HasFDerivAt f₁ f' x :=
   HasFDerivAtFilter.congr_of_eventuallyEq h h₁ (mem_of_mem_nhds h₁ : _)
 #align has_fderiv_at.congr_of_eventually_eq HasFDerivAt.congr_of_eventuallyEq
 
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 theorem DifferentiableWithinAt.congr_mono (h : DifferentiableWithinAt 𝕜 f s x) (ht : EqOn f₁ f t)
     (hx : f₁ x = f x) (h₁ : t ⊆ s) : DifferentiableWithinAt 𝕜 f₁ t x :=
   (h.HasFDerivWithinAt.congr_mono ht hx h₁).DifferentiableWithinAt
 #align differentiable_within_at.congr_mono DifferentiableWithinAt.congr_mono
 
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 theorem DifferentiableWithinAt.congr (h : DifferentiableWithinAt 𝕜 f s x) (ht : ∀ x ∈ s, f₁ x = f x)
     (hx : f₁ x = f x) : DifferentiableWithinAt 𝕜 f₁ s x :=
   DifferentiableWithinAt.congr_mono h ht hx (Subset.refl _)
 #align differentiable_within_at.congr DifferentiableWithinAt.congr
 
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-Case conversion may be inaccurate. Consider using '#align differentiable_within_at.congr_of_eventually_eq DifferentiableWithinAt.congr_of_eventuallyEqₓ'. -/
 theorem DifferentiableWithinAt.congr_of_eventuallyEq (h : DifferentiableWithinAt 𝕜 f s x)
     (h₁ : f₁ =ᶠ[𝓝[s] x] f) (hx : f₁ x = f x) : DifferentiableWithinAt 𝕜 f₁ s x :=
   (h.HasFDerivWithinAt.congr_of_eventuallyEq h₁ hx).DifferentiableWithinAt
 #align differentiable_within_at.congr_of_eventually_eq DifferentiableWithinAt.congr_of_eventuallyEq
 
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 theorem DifferentiableOn.congr_mono (h : DifferentiableOn 𝕜 f s) (h' : ∀ x ∈ t, f₁ x = f x)
     (h₁ : t ⊆ s) : DifferentiableOn 𝕜 f₁ t := fun x hx => (h x (h₁ hx)).congr_mono h' (h' x hx) h₁
 #align differentiable_on.congr_mono DifferentiableOn.congr_mono
 
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-Case conversion may be inaccurate. Consider using '#align differentiable_on.congr DifferentiableOn.congrₓ'. -/
 theorem DifferentiableOn.congr (h : DifferentiableOn 𝕜 f s) (h' : ∀ x ∈ s, f₁ x = f x) :
     DifferentiableOn 𝕜 f₁ s := fun x hx => (h x hx).congr h' (h' x hx)
 #align differentiable_on.congr DifferentiableOn.congr
 
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-Case conversion may be inaccurate. Consider using '#align differentiable_on_congr differentiableOn_congrₓ'. -/
 theorem differentiableOn_congr (h' : ∀ x ∈ s, f₁ x = f x) :
     DifferentiableOn 𝕜 f₁ s ↔ DifferentiableOn 𝕜 f s :=
   ⟨fun h => DifferentiableOn.congr h fun y hy => (h' y hy).symm, fun h =>
     DifferentiableOn.congr h h'⟩
 #align differentiable_on_congr differentiableOn_congr
 
-/- warning: differentiable_at.congr_of_eventually_eq -> DifferentiableAt.congr_of_eventuallyEq is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align differentiable_at.congr_of_eventually_eq DifferentiableAt.congr_of_eventuallyEqₓ'. -/
 theorem DifferentiableAt.congr_of_eventuallyEq (h : DifferentiableAt 𝕜 f x) (hL : f₁ =ᶠ[𝓝 x] f) :
     DifferentiableAt 𝕜 f₁ x :=
   hL.differentiableAt_iff.2 h
 #align differentiable_at.congr_of_eventually_eq DifferentiableAt.congr_of_eventuallyEq
 
-/- warning: differentiable_within_at.fderiv_within_congr_mono -> DifferentiableWithinAt.fderivWithin_congr_mono is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align differentiable_within_at.fderiv_within_congr_mono DifferentiableWithinAt.fderivWithin_congr_monoₓ'. -/
 theorem DifferentiableWithinAt.fderivWithin_congr_mono (h : DifferentiableWithinAt 𝕜 f s x)
     (hs : EqOn f₁ f t) (hx : f₁ x = f x) (hxt : UniqueDiffWithinAt 𝕜 t x) (h₁ : t ⊆ s) :
     fderivWithin 𝕜 f₁ t x = fderivWithin 𝕜 f s x :=
   (HasFDerivWithinAt.congr_mono h.HasFDerivWithinAt hs hx h₁).fderivWithin hxt
 #align differentiable_within_at.fderiv_within_congr_mono DifferentiableWithinAt.fderivWithin_congr_mono
 
-/- warning: filter.eventually_eq.fderiv_within_eq -> Filter.EventuallyEq.fderivWithin_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_within_eq Filter.EventuallyEq.fderivWithin_eqₓ'. -/
 theorem Filter.EventuallyEq.fderivWithin_eq (hs : f₁ =ᶠ[𝓝[s] x] f) (hx : f₁ x = f x) :
     fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x := by
   simp only [fderivWithin, hs.has_fderiv_within_at_iff hx]
 #align filter.eventually_eq.fderiv_within_eq Filter.EventuallyEq.fderivWithin_eq
 
-/- warning: filter.eventually_eq.fderiv_within' -> Filter.EventuallyEq.fderiv_within' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_within' Filter.EventuallyEq.fderiv_within'ₓ'. -/
 theorem Filter.EventuallyEq.fderiv_within' (hs : f₁ =ᶠ[𝓝[s] x] f) (ht : t ⊆ s) :
     fderivWithin 𝕜 f₁ t =ᶠ[𝓝[s] x] fderivWithin 𝕜 f t :=
   (eventually_nhdsWithin_nhdsWithin.2 hs).mp <|
@@ -1571,48 +989,30 @@ theorem Filter.EventuallyEq.fderiv_within' (hs : f₁ =ᶠ[𝓝[s] x] f) (ht : t
         (hs.self_of_nhdsWithin hys)
 #align filter.eventually_eq.fderiv_within' Filter.EventuallyEq.fderiv_within'
 
-/- warning: filter.eventually_eq.fderiv_within -> Filter.EventuallyEq.fderivWithin is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_within Filter.EventuallyEq.fderivWithinₓ'. -/
 protected theorem Filter.EventuallyEq.fderivWithin (hs : f₁ =ᶠ[𝓝[s] x] f) :
     fderivWithin 𝕜 f₁ s =ᶠ[𝓝[s] x] fderivWithin 𝕜 f s :=
   hs.fderiv_within' Subset.rfl
 #align filter.eventually_eq.fderiv_within Filter.EventuallyEq.fderivWithin
 
-/- warning: filter.eventually_eq.fderiv_within_eq_nhds -> Filter.EventuallyEq.fderivWithin_eq_nhds is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_within_eq_nhds Filter.EventuallyEq.fderivWithin_eq_nhdsₓ'. -/
 theorem Filter.EventuallyEq.fderivWithin_eq_nhds (h : f₁ =ᶠ[𝓝 x] f) :
     fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
   (h.filter_mono nhdsWithin_le_nhds).fderivWithin_eq h.self_of_nhds
 #align filter.eventually_eq.fderiv_within_eq_nhds Filter.EventuallyEq.fderivWithin_eq_nhds
 
-/- warning: fderiv_within_congr -> fderivWithin_congr is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_within_congr fderivWithin_congrₓ'. -/
 theorem fderivWithin_congr (hs : EqOn f₁ f s) (hx : f₁ x = f x) :
     fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
   (hs.EventuallyEq.filter_mono inf_le_right).fderivWithin_eq hx
 #align fderiv_within_congr fderivWithin_congr
 
-/- warning: fderiv_within_congr' -> fderivWithin_congr' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_within_congr' fderivWithin_congr'ₓ'. -/
 theorem fderivWithin_congr' (hs : EqOn f₁ f s) (hx : x ∈ s) :
     fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
   fderivWithin_congr hs (hs hx)
 #align fderiv_within_congr' fderivWithin_congr'
 
-/- warning: filter.eventually_eq.fderiv_eq -> Filter.EventuallyEq.fderiv_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_eq Filter.EventuallyEq.fderiv_eqₓ'. -/
 theorem Filter.EventuallyEq.fderiv_eq (h : f₁ =ᶠ[𝓝 x] f) : fderiv 𝕜 f₁ x = fderiv 𝕜 f x := by
   rw [← fderivWithin_univ, ← fderivWithin_univ, h.fderiv_within_eq_nhds]
 #align filter.eventually_eq.fderiv_eq Filter.EventuallyEq.fderiv_eq
 
-/- warning: filter.eventually_eq.fderiv -> Filter.EventuallyEq.fderiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv Filter.EventuallyEq.fderivₓ'. -/
 protected theorem Filter.EventuallyEq.fderiv (h : f₁ =ᶠ[𝓝 x] f) : fderiv 𝕜 f₁ =ᶠ[𝓝 x] fderiv 𝕜 f :=
   h.eventuallyEq_nhds.mono fun x h => h.fderiv_eq
 #align filter.eventually_eq.fderiv Filter.EventuallyEq.fderiv
@@ -1624,12 +1024,6 @@ section id
 /-! ### Derivative of the identity -/
 
 
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 theorem hasStrictFDerivAt_id (x : E) : HasStrictFDerivAt id (id 𝕜 E) x :=
   (isLittleO_zero _ _).congr_left <| by simp
 #align has_strict_fderiv_at_id hasStrictFDerivAt_id
@@ -1646,74 +1040,32 @@ theorem hasFDerivWithinAt_id (x : E) (s : Set E) : HasFDerivWithinAt id (id 𝕜
 #align has_fderiv_within_at_id hasFDerivWithinAt_id
 -/
 
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 theorem hasFDerivAt_id (x : E) : HasFDerivAt id (id 𝕜 E) x :=
   hasFDerivAtFilter_id _ _
 #align has_fderiv_at_id hasFDerivAt_id
 
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 @[simp]
 theorem differentiableAt_id : DifferentiableAt 𝕜 id x :=
   (hasFDerivAt_id x).DifferentiableAt
 #align differentiable_at_id differentiableAt_id
 
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 @[simp]
 theorem differentiableAt_id' : DifferentiableAt 𝕜 (fun x => x) x :=
   (hasFDerivAt_id x).DifferentiableAt
 #align differentiable_at_id' differentiableAt_id'
 
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 theorem differentiableWithinAt_id : DifferentiableWithinAt 𝕜 id s x :=
   differentiableAt_id.DifferentiableWithinAt
 #align differentiable_within_at_id differentiableWithinAt_id
 
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 @[simp]
 theorem differentiable_id : Differentiable 𝕜 (id : E → E) := fun x => differentiableAt_id
 #align differentiable_id differentiable_id
 
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 @[simp]
 theorem differentiable_id' : Differentiable 𝕜 fun x : E => x := fun x => differentiableAt_id
 #align differentiable_id' differentiable_id'
 
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 theorem differentiableOn_id : DifferentiableOn 𝕜 id s :=
   differentiable_id.DifferentiableOn
 #align differentiable_on_id differentiableOn_id
@@ -1731,24 +1083,12 @@ theorem fderiv_id' : fderiv 𝕜 (fun x : E => x) x = ContinuousLinearMap.id 
 #align fderiv_id' fderiv_id'
 -/
 
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 theorem fderivWithin_id (hxs : UniqueDiffWithinAt 𝕜 s x) : fderivWithin 𝕜 id s x = id 𝕜 E :=
   by
   rw [DifferentiableAt.fderivWithin differentiableAt_id hxs]
   exact fderiv_id
 #align fderiv_within_id fderivWithin_id
 
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-Case conversion may be inaccurate. Consider using '#align fderiv_within_id' fderivWithin_id'ₓ'. -/
 theorem fderivWithin_id' (hxs : UniqueDiffWithinAt 𝕜 s x) :
     fderivWithin 𝕜 (fun x : E => x) s x = ContinuousLinearMap.id 𝕜 E :=
   fderivWithin_id hxs
@@ -1761,76 +1101,43 @@ section Const
 /-! ### derivative of a constant function -/
 
 
-/- warning: has_strict_fderiv_at_const -> hasStrictFDerivAt_const is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at_const hasStrictFDerivAt_constₓ'. -/
 theorem hasStrictFDerivAt_const (c : F) (x : E) :
     HasStrictFDerivAt (fun _ => c) (0 : E →L[𝕜] F) x :=
   (isLittleO_zero _ _).congr_left fun _ => by simp only [zero_apply, sub_self]
 #align has_strict_fderiv_at_const hasStrictFDerivAt_const
 
-/- warning: has_fderiv_at_filter_const -> hasFDerivAtFilter_const is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at_filter_const hasFDerivAtFilter_constₓ'. -/
 theorem hasFDerivAtFilter_const (c : F) (x : E) (L : Filter E) :
     HasFDerivAtFilter (fun x => c) (0 : E →L[𝕜] F) x L :=
   (isLittleO_zero _ _).congr_left fun _ => by simp only [zero_apply, sub_self]
 #align has_fderiv_at_filter_const hasFDerivAtFilter_const
 
-/- warning: has_fderiv_within_at_const -> hasFDerivWithinAt_const is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_const hasFDerivWithinAt_constₓ'. -/
 theorem hasFDerivWithinAt_const (c : F) (x : E) (s : Set E) :
     HasFDerivWithinAt (fun x => c) (0 : E →L[𝕜] F) s x :=
   hasFDerivAtFilter_const _ _ _
 #align has_fderiv_within_at_const hasFDerivWithinAt_const
 
-/- warning: has_fderiv_at_const -> hasFDerivAt_const is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at_const hasFDerivAt_constₓ'. -/
 theorem hasFDerivAt_const (c : F) (x : E) : HasFDerivAt (fun x => c) (0 : E →L[𝕜] F) x :=
   hasFDerivAtFilter_const _ _ _
 #align has_fderiv_at_const hasFDerivAt_const
 
-/- warning: differentiable_at_const -> differentiableAt_const is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align differentiable_at_const differentiableAt_constₓ'. -/
 @[simp]
 theorem differentiableAt_const (c : F) : DifferentiableAt 𝕜 (fun x => c) x :=
   ⟨0, hasFDerivAt_const c x⟩
 #align differentiable_at_const differentiableAt_const
 
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align differentiable_within_at_const differentiableWithinAt_constₓ'. -/
 theorem differentiableWithinAt_const (c : F) : DifferentiableWithinAt 𝕜 (fun x => c) s x :=
   DifferentiableAt.differentiableWithinAt (differentiableAt_const _)
 #align differentiable_within_at_const differentiableWithinAt_const
 
-/- warning: fderiv_const_apply -> fderiv_const_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_const_apply fderiv_const_applyₓ'. -/
 theorem fderiv_const_apply (c : F) : fderiv 𝕜 (fun y => c) x = 0 :=
   HasFDerivAt.fderiv (hasFDerivAt_const c x)
 #align fderiv_const_apply fderiv_const_apply
 
-/- warning: fderiv_const -> fderiv_const is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_const fderiv_constₓ'. -/
 @[simp]
 theorem fderiv_const (c : F) : (fderiv 𝕜 fun y : E => c) = 0 := by ext m; rw [fderiv_const_apply];
   rfl
 #align fderiv_const fderiv_const
 
-/- warning: fderiv_within_const_apply -> fderivWithin_const_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fderiv_within_const_apply fderivWithin_const_applyₓ'. -/
 theorem fderivWithin_const_apply (c : F) (hxs : UniqueDiffWithinAt 𝕜 s x) :
     fderivWithin 𝕜 (fun y => c) s x = 0 :=
   by
@@ -1838,39 +1145,21 @@ theorem fderivWithin_const_apply (c : F) (hxs : UniqueDiffWithinAt 𝕜 s x) :
   exact fderiv_const_apply _
 #align fderiv_within_const_apply fderivWithin_const_apply
 
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-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] (c : F), Differentiable.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c)
-Case conversion may be inaccurate. Consider using '#align differentiable_const differentiable_constₓ'. -/
 @[simp]
 theorem differentiable_const (c : F) : Differentiable 𝕜 fun x : E => c := fun x =>
   differentiableAt_const _
 #align differentiable_const differentiable_const
 
-/- warning: differentiable_on_const -> differentiableOn_const is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align differentiable_on_const differentiableOn_constₓ'. -/
 theorem differentiableOn_const (c : F) : DifferentiableOn 𝕜 (fun x => c) s :=
   (differentiable_const _).DifferentiableOn
 #align differentiable_on_const differentiableOn_const
 
-/- warning: has_fderiv_within_at_singleton -> hasFDerivWithinAt_singleton is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_singleton hasFDerivWithinAt_singletonₓ'. -/
 theorem hasFDerivWithinAt_singleton (f : E → F) (x : E) :
     HasFDerivWithinAt f (0 : E →L[𝕜] F) {x} x := by
   simp only [HasFDerivWithinAt, nhdsWithin_singleton, HasFDerivAtFilter, is_o_pure,
     ContinuousLinearMap.zero_apply, sub_self]
 #align has_fderiv_within_at_singleton hasFDerivWithinAt_singleton
 
-/- warning: has_fderiv_at_of_subsingleton -> hasFDerivAt_of_subsingleton is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at_of_subsingleton hasFDerivAt_of_subsingletonₓ'. -/
 theorem hasFDerivAt_of_subsingleton [h : Subsingleton E] (f : E → F) (x : E) :
     HasFDerivAt f (0 : E →L[𝕜] F) x :=
   by
@@ -1878,38 +1167,17 @@ theorem hasFDerivAt_of_subsingleton [h : Subsingleton E] (f : E → F) (x : E) :
   exact hasFDerivWithinAt_singleton f x
 #align has_fderiv_at_of_subsingleton hasFDerivAt_of_subsingleton
 
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F}, DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (EmptyCollection.emptyCollection.{u2} (Set.{u2} E) (Set.hasEmptyc.{u2} E))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F}, DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (EmptyCollection.emptyCollection.{u2} (Set.{u2} E) (Set.instEmptyCollectionSet.{u2} E))
-Case conversion may be inaccurate. Consider using '#align differentiable_on_empty differentiableOn_emptyₓ'. -/
 theorem differentiableOn_empty : DifferentiableOn 𝕜 f ∅ := fun x => False.elim
 #align differentiable_on_empty differentiableOn_empty
 
-/- warning: differentiable_on_singleton -> differentiableOn_singleton is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E}, DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E}, DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)
-Case conversion may be inaccurate. Consider using '#align differentiable_on_singleton differentiableOn_singletonₓ'. -/
 theorem differentiableOn_singleton : DifferentiableOn 𝕜 f {x} :=
   forall_eq.2 (hasFDerivWithinAt_singleton f x).DifferentiableWithinAt
 #align differentiable_on_singleton differentiableOn_singleton
 
-/- warning: set.subsingleton.differentiable_on -> Set.Subsingleton.differentiableOn is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {s : Set.{u2} E}, (Set.Subsingleton.{u2} E s) -> (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {s : Set.{u3} E}, (Set.Subsingleton.{u3} E s) -> (DifferentiableOn.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s)
-Case conversion may be inaccurate. Consider using '#align set.subsingleton.differentiable_on Set.Subsingleton.differentiableOnₓ'. -/
 theorem Set.Subsingleton.differentiableOn (hs : s.Subsingleton) : DifferentiableOn 𝕜 f s :=
   hs.inductionOn differentiableOn_empty fun x => differentiableOn_singleton
 #align set.subsingleton.differentiable_on Set.Subsingleton.differentiableOn
 
-/- warning: has_fderiv_at_zero_of_eventually_const -> hasFDerivAt_zero_of_eventually_const is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_fderiv_at_zero_of_eventually_const hasFDerivAt_zero_of_eventually_constₓ'. -/
 theorem hasFDerivAt_zero_of_eventually_const (c : F) (hf : f =ᶠ[𝓝 x] fun y => c) :
     HasFDerivAt f (0 : E →L[𝕜] F) x :=
   (hasFDerivAt_const _ _).congr_of_eventuallyEq hf
@@ -1929,9 +1197,6 @@ open Function
 variable (𝕜 : Type _) {E F : Type _} [NontriviallyNormedField 𝕜] [NormedAddCommGroup E]
   [NormedSpace 𝕜 E] [NormedAddCommGroup F] [NormedSpace 𝕜 F] {f : E → F}
 
-/- warning: support_fderiv_subset -> support_fderiv_subset is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align support_fderiv_subset support_fderiv_subsetₓ'. -/
 theorem support_fderiv_subset : support (fderiv 𝕜 f) ⊆ tsupport f :=
   by
   intro x
@@ -1939,16 +1204,10 @@ theorem support_fderiv_subset : support (fderiv 𝕜 f) ⊆ tsupport f :=
   exact fun hx => hx.fderiv_eq.trans <| fderiv_const_apply 0
 #align support_fderiv_subset support_fderiv_subset
 
-/- warning: tsupport_fderiv_subset -> tsupport_fderiv_subset is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align tsupport_fderiv_subset tsupport_fderiv_subsetₓ'. -/
 theorem tsupport_fderiv_subset : tsupport (fderiv 𝕜 f) ⊆ tsupport f :=
   closure_minimal (support_fderiv_subset 𝕜) isClosed_closure
 #align tsupport_fderiv_subset tsupport_fderiv_subset
 
-/- warning: has_compact_support.fderiv -> HasCompactSupport.fderiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align has_compact_support.fderiv HasCompactSupport.fderivₓ'. -/
 theorem HasCompactSupport.fderiv (hf : HasCompactSupport f) : HasCompactSupport (fderiv 𝕜 f) :=
   hf.mono' <| support_fderiv_subset 𝕜
 #align has_compact_support.fderiv HasCompactSupport.fderiv

bump to nightly-2023-05-28-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6797a637

Diff

@@ -302,9 +302,7 @@ theorem HasFDerivWithinAt.lim (h : HasFDerivWithinAt f f' s x) {α : Type _} (l
   have :
     (fun n => c n • (f (x + d n) - f x - f' (d n)) + f' (c n • d n)) = fun n =>
       c n • (f (x + d n) - f x) :=
-    by
-    ext n
-    simp [smul_add, smul_sub]
+    by ext n; simp [smul_add, smul_sub]
   rwa [this, zero_add] at L3
 #align has_fderiv_within_at.lim HasFDerivWithinAt.lim
 
@@ -350,10 +348,8 @@ theorem hasFDerivAtFilter_iff_tendsto :
     HasFDerivAtFilter f f' x L ↔
       Tendsto (fun x' => ‖x' - x‖⁻¹ * ‖f x' - f x - f' (x' - x)‖) L (𝓝 0) :=
   by
-  have h : ∀ x', ‖x' - x‖ = 0 → ‖f x' - f x - f' (x' - x)‖ = 0 := fun x' hx' =>
-    by
-    rw [sub_eq_zero.1 (norm_eq_zero.1 hx')]
-    simp
+  have h : ∀ x', ‖x' - x‖ = 0 → ‖f x' - f x - f' (x' - x)‖ = 0 := fun x' hx' => by
+    rw [sub_eq_zero.1 (norm_eq_zero.1 hx')]; simp
   unfold HasFDerivAtFilter
   rw [← is_o_norm_left, ← is_o_norm_right, is_o_iff_tendsto h]
   exact tendsto_congr fun _ => div_eq_inv_mul _ _
@@ -501,10 +497,8 @@ but is expected to have type
   forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, Iff (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Set.univ.{u2} E) x) (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x)
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_univ hasFDerivWithinAt_univₓ'. -/
 @[simp]
-theorem hasFDerivWithinAt_univ : HasFDerivWithinAt f f' univ x ↔ HasFDerivAt f f' x :=
-  by
-  simp only [HasFDerivWithinAt, nhdsWithin_univ]
-  rfl
+theorem hasFDerivWithinAt_univ : HasFDerivWithinAt f f' univ x ↔ HasFDerivAt f f' x := by
+  simp only [HasFDerivWithinAt, nhdsWithin_univ]; rfl
 #align has_fderiv_within_at_univ hasFDerivWithinAt_univ
 
 /- warning: has_fderiv_within_at.has_fderiv_at_of_univ -> HasFDerivWithinAt.hasFDerivAt_of_univ is a dubious translation:
@@ -803,9 +797,7 @@ theorem DifferentiableOn.eventually_differentiableAt (h : DifferentiableOn 𝕜
 /- warning: has_fderiv_at.fderiv -> HasFDerivAt.fderiv is a dubious translation:
 <too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_at.fderiv HasFDerivAt.fderivₓ'. -/
-theorem HasFDerivAt.fderiv (h : HasFDerivAt f f' x) : fderiv 𝕜 f x = f' :=
-  by
-  ext
+theorem HasFDerivAt.fderiv (h : HasFDerivAt f f' x) : fderiv 𝕜 f x = f' := by ext;
   rw [h.unique h.differentiable_at.has_fderiv_at]
 #align has_fderiv_at.fderiv HasFDerivAt.fderiv
 
@@ -1118,8 +1110,7 @@ theorem HasFDerivAtFilter.tendsto_nhds (hL : L ≤ 𝓝 x) (h : HasFDerivAtFilte
   have : tendsto (fun x' => f x' - f x) L (𝓝 0) :=
     by
     refine' h.is_O_sub.trans_tendsto (tendsto.mono_left _ hL)
-    rw [← sub_self x]
-    exact tendsto_id.sub tendsto_const_nhds
+    rw [← sub_self x]; exact tendsto_id.sub tendsto_const_nhds
   have := tendsto.add this tendsto_const_nhds
   rw [zero_add (f x)] at this
   exact this.congr (by simp only [sub_add_cancel, eq_self_iff_true, forall_const])
@@ -1833,10 +1824,7 @@ theorem fderiv_const_apply (c : F) : fderiv 𝕜 (fun y => c) x = 0 :=
 <too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_const fderiv_constₓ'. -/
 @[simp]
-theorem fderiv_const (c : F) : (fderiv 𝕜 fun y : E => c) = 0 :=
-  by
-  ext m
-  rw [fderiv_const_apply]
+theorem fderiv_const (c : F) : (fderiv 𝕜 fun y : E => c) = 0 := by ext m; rw [fderiv_const_apply];
   rfl
 #align fderiv_const fderiv_const

bump to nightly-2023-05-28-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6c6011cf

Diff

@@ -241,10 +241,7 @@ variable {s t : Set E}
 variable {L L₁ L₂ : Filter E}
 
 /- warning: fderiv_within_zero_of_not_differentiable_within_at -> fderivWithin_zero_of_not_differentiableWithinAt is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (Not (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (OfNat.mk.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (Not (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x)) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (OfNat.ofNat.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_within_zero_of_not_differentiable_within_at fderivWithin_zero_of_not_differentiableWithinAtₓ'. -/
 theorem fderivWithin_zero_of_not_differentiableWithinAt (h : ¬DifferentiableWithinAt 𝕜 f s x) :
     fderivWithin 𝕜 f s x = 0 :=
@@ -254,10 +251,7 @@ theorem fderivWithin_zero_of_not_differentiableWithinAt (h : ¬DifferentiableWit
 #align fderiv_within_zero_of_not_differentiable_within_at fderivWithin_zero_of_not_differentiableWithinAt
 
 /- warning: fderiv_zero_of_not_differentiable_at -> fderiv_zero_of_not_differentiableAt is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E}, (Not (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (OfNat.mk.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E}, (Not (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderiv.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (OfNat.ofNat.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_zero_of_not_differentiable_at fderiv_zero_of_not_differentiableAtₓ'. -/
 theorem fderiv_zero_of_not_differentiableAt (h : ¬DifferentiableAt 𝕜 f x) : fderiv 𝕜 f x = 0 :=
   by
@@ -268,10 +262,7 @@ theorem fderiv_zero_of_not_differentiableAt (h : ¬DifferentiableAt 𝕜 f x) :
 section DerivativeUniqueness
 
 /- warning: has_fderiv_within_at.lim -> HasFDerivWithinAt.lim is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) 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(PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) v)) -> (Filter.Tendsto.{u4, u3} α F (fun (n : α) => SMul.smul.{u1, u3} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F 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(PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f' v))))
-but is expected to have type
-  forall {𝕜 : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u4, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u4} 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(Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u3} 𝕜 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(NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.lim HasFDerivWithinAt.limₓ'. -/
 /- In this section, we discuss the uniqueness of the derivative.
 We prove that the definitions `unique_diff_within_at` and `unique_diff_on` indeed imply the
@@ -318,10 +309,7 @@ theorem HasFDerivWithinAt.lim (h : HasFDerivWithinAt f f' s x) {α : Type _} (l
 #align has_fderiv_within_at.lim HasFDerivWithinAt.lim
 
 /- warning: has_fderiv_within_at.unique_on -> HasFDerivWithinAt.unique_on is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f₁' s x) -> (Set.EqOn.{u2, u3} E F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f₁') (tangentConeAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f₁' s x) -> (Set.EqOn.{u2, u1} E F (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 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_inst_5)))) f₁') (tangentConeAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x))
+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.unique_on HasFDerivWithinAt.unique_onₓ'. -/
 /-- If `f'` and `f₁'` are two derivatives of `f` within `s` at `x`, then they are equal on the
 tangent cone to `s` at `x` -/
@@ -332,10 +320,7 @@ theorem HasFDerivWithinAt.unique_on (hf : HasFDerivWithinAt f f' s x)
 #align has_fderiv_within_at.unique_on HasFDerivWithinAt.unique_on
 
 /- warning: unique_diff_within_at.eq -> UniqueDiffWithinAt.eq is a dubious translation:
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(PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f₁' s x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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-but is expected to have type
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𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E 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(UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f₁' s x) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) f' f₁')
+<too large>
 Case conversion may be inaccurate. Consider using '#align unique_diff_within_at.eq UniqueDiffWithinAt.eqₓ'. -/
 /-- `unique_diff_within_at` achieves its goal: it implies the uniqueness of the derivative. -/
 theorem UniqueDiffWithinAt.eq (H : UniqueDiffWithinAt 𝕜 s x) (hf : HasFDerivWithinAt f f' s x)
@@ -344,10 +329,7 @@ theorem UniqueDiffWithinAt.eq (H : UniqueDiffWithinAt 𝕜 s x) (hf : HasFDerivW
 #align unique_diff_within_at.eq UniqueDiffWithinAt.eq
 
 /- warning: unique_diff_on.eq -> UniqueDiffOn.eq is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (UniqueDiffOn.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f₁' s x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f' f₁')
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E 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(Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) f' f₁')
+<too large>
 Case conversion may be inaccurate. Consider using '#align unique_diff_on.eq UniqueDiffOn.eqₓ'. -/
 theorem UniqueDiffOn.eq (H : UniqueDiffOn 𝕜 s) (hx : x ∈ s) (h : HasFDerivWithinAt f f' s x)
     (h₁ : HasFDerivWithinAt f f₁' s x) : f' = f₁' :=
@@ -362,10 +344,7 @@ section FderivProperties
 
 
 /- warning: has_fderiv_at_filter_iff_tendsto -> hasFDerivAtFilter_iff_tendsto is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_at_filter_iff_tendsto hasFDerivAtFilter_iff_tendstoₓ'. -/
 theorem hasFDerivAtFilter_iff_tendsto :
     HasFDerivAtFilter f f' x L ↔
@@ -381,10 +360,7 @@ theorem hasFDerivAtFilter_iff_tendsto :
 #align has_fderiv_at_filter_iff_tendsto hasFDerivAtFilter_iff_tendsto
 
 /- warning: has_fderiv_within_at_iff_tendsto -> hasFDerivWithinAt_iff_tendsto is a dubious translation:
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(AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x))))) (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) (nhds.{0} Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_iff_tendsto hasFDerivWithinAt_iff_tendstoₓ'. -/
 theorem hasFDerivWithinAt_iff_tendsto :
     HasFDerivWithinAt f f' s x ↔
@@ -393,10 +369,7 @@ theorem hasFDerivWithinAt_iff_tendsto :
 #align has_fderiv_within_at_iff_tendsto hasFDerivWithinAt_iff_tendsto
 
 /- warning: has_fderiv_at_iff_tendsto -> hasFDerivAt_iff_tendsto is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_at_iff_tendsto hasFDerivAt_iff_tendstoₓ'. -/
 theorem hasFDerivAt_iff_tendsto :
     HasFDerivAt f f' x ↔ Tendsto (fun x' => ‖x' - x‖⁻¹ * ‖f x' - f x - f' (x' - x)‖) (𝓝 x) (𝓝 0) :=
@@ -404,10 +377,7 @@ theorem hasFDerivAt_iff_tendsto :
 #align has_fderiv_at_iff_tendsto hasFDerivAt_iff_tendsto
 
 /- warning: has_fderiv_at_iff_is_o_nhds_zero -> hasFDerivAt_iff_isLittleO_nhds_zero is a dubious translation:
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(NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) f' h)) (fun (h : E) => h))
+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_at_iff_is_o_nhds_zero hasFDerivAt_iff_isLittleO_nhds_zeroₓ'. -/
 theorem hasFDerivAt_iff_isLittleO_nhds_zero :
     HasFDerivAt f f' x ↔ (fun h : E => f (x + h) - f x - f' h) =o[𝓝 0] fun h => h :=
@@ -417,10 +387,7 @@ theorem hasFDerivAt_iff_isLittleO_nhds_zero :
 #align has_fderiv_at_iff_is_o_nhds_zero hasFDerivAt_iff_isLittleO_nhds_zero
 
 /- warning: has_fderiv_at.le_of_lip' -> HasFDerivAt.le_of_lip' is a dubious translation:
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_inst_1 _inst_3 _inst_5 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f') C))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_at.le_of_lip' HasFDerivAt.le_of_lip'ₓ'. -/
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
 on a neighborhood of `x₀` then it its derivative at `x₀` has norm bounded by `C`. This version
@@ -441,10 +408,7 @@ theorem HasFDerivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (h
 #align has_fderiv_at.le_of_lip' HasFDerivAt.le_of_lip'
 
 /- warning: has_fderiv_at.le_of_lip -> HasFDerivAt.le_of_lip is a dubious translation:
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NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) C))))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_at.le_of_lip HasFDerivAt.le_of_lipₓ'. -/
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
 on a neighborhood of `x₀` then it its derivative at `x₀` has norm bounded by `C`. -/
@@ -653,10 +617,7 @@ protected theorem HasStrictFDerivAt.differentiableAt (hf : HasStrictFDerivAt f f
 #align has_strict_fderiv_at.differentiable_at HasStrictFDerivAt.differentiableAt
 
 /- warning: has_strict_fderiv_at.exists_lipschitz_on_with_of_nnnorm_lt -> HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_lt is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (forall (K : NNReal), (LT.lt.{0} NNReal (Preorder.toHasLt.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) (NNNorm.nnnorm.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (SeminormedAddGroup.toNNNorm.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (SeminormedAddCommGroup.toSeminormedAddGroup.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, u3} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f') K) -> (Exists.{succ u2} (Set.{u2} E) (fun (s : Set.{u2} E) => Exists.{0} (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) (fun (H : Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) => LipschitzOnWith.{u2, u3} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (PseudoMetricSpace.toPseudoEMetricSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) K f s))))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (forall (K : NNReal), (LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (NNNorm.nnnorm.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (SeminormedAddGroup.toNNNorm.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (SeminormedAddCommGroup.toSeminormedAddGroup.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) 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(Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) (LipschitzOnWith.{u2, u1} E F (EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))) (EMetricSpace.toPseudoEMetricSpace.{u1} F (MetricSpace.toEMetricSpace.{u1} F (NormedAddCommGroup.toMetricSpace.{u1} F _inst_4))) K f s))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.exists_lipschitz_on_with_of_nnnorm_lt HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_ltₓ'. -/
 /-- If `f` is strictly differentiable at `x` with derivative `f'` and `K > ‖f'‖₊`, then `f` is
 `K`-Lipschitz in a neighborhood of `x`. -/
@@ -685,10 +646,7 @@ theorem HasStrictFDerivAt.exists_lipschitzOnWith (hf : HasStrictFDerivAt f f' x)
 #align has_strict_fderiv_at.exists_lipschitz_on_with HasStrictFDerivAt.exists_lipschitzOnWith
 
 /- warning: has_fderiv_at.lim -> HasFDerivAt.lim is a dubious translation:
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-  forall {𝕜 : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u4, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_at.lim HasFDerivAt.limₓ'. -/
 /-- Directional derivative agrees with `has_fderiv`. -/
 theorem HasFDerivAt.lim (hf : HasFDerivAt f f' x) (v : E) {α : Type _} {c : α → 𝕜} {l : Filter α}
@@ -704,10 +662,7 @@ theorem HasFDerivAt.lim (hf : HasFDerivAt f f' x) (v : E) {α : Type _} {c : α
 #align has_fderiv_at.lim HasFDerivAt.lim
 
 /- warning: has_fderiv_at.unique -> HasFDerivAt.unique is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₀' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f₀' x) -> (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f₁' x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f₀' f₁')
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₀' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 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(Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) f₀' f₁')
+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_at.unique HasFDerivAt.uniqueₓ'. -/
 theorem HasFDerivAt.unique (h₀ : HasFDerivAt f f₀' x) (h₁ : HasFDerivAt f f₁' x) : f₀' = f₁' :=
   by
@@ -846,10 +801,7 @@ theorem DifferentiableOn.eventually_differentiableAt (h : DifferentiableOn 𝕜
 #align differentiable_on.eventually_differentiable_at DifferentiableOn.eventually_differentiableAt
 
 /- warning: has_fderiv_at.fderiv -> HasFDerivAt.fderiv is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) f')
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-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderiv.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) f')
+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_at.fderiv HasFDerivAt.fderivₓ'. -/
 theorem HasFDerivAt.fderiv (h : HasFDerivAt f f' x) : fderiv 𝕜 f x = f' :=
   by
@@ -858,20 +810,14 @@ theorem HasFDerivAt.fderiv (h : HasFDerivAt f f' x) : fderiv 𝕜 f x = f' :=
 #align has_fderiv_at.fderiv HasFDerivAt.fderiv
 
 /- warning: fderiv_eq -> fderiv_eq is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_eq fderiv_eqₓ'. -/
 theorem fderiv_eq {f' : E → E →L[𝕜] F} (h : ∀ x, HasFDerivAt f (f' x) x) : fderiv 𝕜 f = f' :=
   funext fun x => (h x).fderiv
 #align fderiv_eq fderiv_eq
 
 /- warning: fderiv_at.le_of_lip -> DifferentiableAt.le_of_lip is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x₀ : E}, (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x₀) -> (forall {s : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x₀)) -> (forall {C : NNReal}, (LipschitzOnWith.{u2, u3} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (PseudoMetricSpace.toPseudoEMetricSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) C f s) -> (LE.le.{0} Real Real.hasLe (Norm.norm.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, u3} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x₀)) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) C))))
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-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x₀ : E}, (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x₀) -> (forall {s : Set.{u2} E}, (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x₀)) -> (forall {C : NNReal}, (LipschitzOnWith.{u2, u1} E F (EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))) (EMetricSpace.toPseudoEMetricSpace.{u1} F (MetricSpace.toEMetricSpace.{u1} F (NormedAddCommGroup.toMetricSpace.{u1} F _inst_4))) C f s) -> (LE.le.{0} Real Real.instLEReal (Norm.norm.{max u1 u2} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.hasOpNorm.{u3, u3, u2, u1} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))))) (fderiv.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x₀)) (NNReal.toReal C))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_at.le_of_lip DifferentiableAt.le_of_lipₓ'. -/
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
 on a neighborhood of `x₀` then it its derivative at `x₀` has norm bounded by `C`.
@@ -882,10 +828,7 @@ theorem DifferentiableAt.le_of_lip {f : E → F} {x₀ : E} (hf : Differentiable
 #align fderiv_at.le_of_lip DifferentiableAt.le_of_lip
 
 /- warning: has_fderiv_within_at.fderiv_within -> HasFDerivWithinAt.fderivWithin is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) f')
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-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) f')
+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.fderiv_within HasFDerivWithinAt.fderivWithinₓ'. -/
 theorem HasFDerivWithinAt.fderivWithin (h : HasFDerivWithinAt f f' s x)
     (hxs : UniqueDiffWithinAt 𝕜 s x) : fderivWithin 𝕜 f s x = f' :=
@@ -983,10 +926,7 @@ theorem Differentiable.differentiableAt (h : Differentiable 𝕜 f) : Differenti
 #align differentiable.differentiable_at Differentiable.differentiableAt
 
 /- warning: differentiable_at.fderiv_within -> DifferentiableAt.fderivWithin is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
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-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderiv.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+<too large>
 Case conversion may be inaccurate. Consider using '#align differentiable_at.fderiv_within DifferentiableAt.fderivWithinₓ'. -/
 theorem DifferentiableAt.fderivWithin (h : DifferentiableAt 𝕜 f x)
     (hxs : UniqueDiffWithinAt 𝕜 s x) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
@@ -1039,10 +979,7 @@ theorem differentiableOn_of_locally_differentiableOn
 #align differentiable_on_of_locally_differentiable_on differentiableOn_of_locally_differentiableOn
 
 /- warning: fderiv_within_of_mem -> fderivWithin_of_mem is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) t (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s)) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
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-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Membership.mem.{u3, u3} (Set.{u3} E) (Filter.{u3} E) (instMembershipSetFilter.{u3} E) t (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s)) -> (UniqueDiffWithinAt.{u2, u3} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) s x) -> (DifferentiableWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) -> (Eq.{max (succ u3) (succ u1)} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderivWithin.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_within_of_mem fderivWithin_of_memₓ'. -/
 theorem fderivWithin_of_mem (st : t ∈ 𝓝[s] x) (ht : UniqueDiffWithinAt 𝕜 s x)
     (h : DifferentiableWithinAt 𝕜 f t x) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
@@ -1050,10 +987,7 @@ theorem fderivWithin_of_mem (st : t ∈ 𝓝[s] x) (ht : UniqueDiffWithinAt 𝕜
 #align fderiv_within_of_mem fderivWithin_of_mem
 
 /- warning: fderiv_within_subset -> fderivWithin_subset is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) s t) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_within_subset fderivWithin_subsetₓ'. -/
 theorem fderivWithin_subset (st : s ⊆ t) (ht : UniqueDiffWithinAt 𝕜 s x)
     (h : DifferentiableWithinAt 𝕜 f t x) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
@@ -1061,20 +995,14 @@ theorem fderivWithin_subset (st : s ⊆ t) (ht : UniqueDiffWithinAt 𝕜 s x)
 #align fderiv_within_subset fderivWithin_subset
 
 /- warning: fderiv_within_inter -> fderivWithin_inter is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) t (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u2} (Set.{u2} E) (Set.hasInter.{u2} E) s t) x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Membership.mem.{u3, u3} (Set.{u3} E) (Filter.{u3} E) (instMembershipSetFilter.{u3} E) t (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x)) -> (Eq.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u3} (Set.{u3} E) (Set.instInterSet.{u3} E) s t) x) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_within_inter fderivWithin_interₓ'. -/
 theorem fderivWithin_inter (ht : t ∈ 𝓝 x) : fderivWithin 𝕜 f (s ∩ t) x = fderivWithin 𝕜 f s x := by
   simp only [fderivWithin, hasFDerivWithinAt_inter ht]
 #align fderiv_within_inter fderivWithin_inter
 
 /- warning: fderiv_within_of_mem_nhds -> fderivWithin_of_mem_nhds is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_within_of_mem_nhds fderivWithin_of_mem_nhdsₓ'. -/
 theorem fderivWithin_of_mem_nhds (h : s ∈ 𝓝 x) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x := by
   simp only [fderiv, fderivWithin, HasFDerivAt, HasFDerivWithinAt, nhdsWithin_eq_nhds.2 h]
@@ -1092,20 +1020,14 @@ theorem fderivWithin_univ : fderivWithin 𝕜 f univ = fderiv 𝕜 f :=
 #align fderiv_within_univ fderivWithin_univ
 
 /- warning: fderiv_within_of_open -> fderivWithin_of_open is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_within_of_open fderivWithin_of_openₓ'. -/
 theorem fderivWithin_of_open (hs : IsOpen s) (hx : x ∈ s) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
   fderivWithin_of_mem_nhds (hs.mem_nhds hx)
 #align fderiv_within_of_open fderivWithin_of_open
 
 /- warning: fderiv_within_eq_fderiv -> fderivWithin_eq_fderiv is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
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-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderiv.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_within_eq_fderiv fderivWithin_eq_fderivₓ'. -/
 theorem fderivWithin_eq_fderiv (hs : UniqueDiffWithinAt 𝕜 s x) (h : DifferentiableAt 𝕜 f x) :
     fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
@@ -1123,10 +1045,7 @@ theorem fderiv_mem_iff {f : E → F} {s : Set (E →L[𝕜] F)} {x : E} :
 -/
 
 /- warning: fderiv_within_mem_iff -> fderivWithin_mem_iff is a dubious translation:
-lean 3 declaration is
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E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Set.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (Set.hasMem.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) s)) (And (Not (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x)) (Membership.Mem.{max u2 u3, max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Set.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (Set.hasMem.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (OfNat.mk.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) s)))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {t : Set.{u3} E} {s : Set.{max u2 u3} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))} {x : E}, Iff (Membership.mem.{max u2 u3, max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (Set.{max u2 u3} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) (Set.instMembershipSet.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) s) (Or (And (DifferentiableWithinAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) (Membership.mem.{max u2 u3, max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (Set.{max u2 u3} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) (Set.instMembershipSet.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) s)) (And (Not (DifferentiableWithinAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x)) (Membership.mem.{max u3 u2, max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (Set.{max u2 u3} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) (Set.instMembershipSet.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) (OfNat.ofNat.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))) s)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_within_mem_iff fderivWithin_mem_iffₓ'. -/
 theorem fderivWithin_mem_iff {f : E → F} {t : Set E} {s : Set (E →L[𝕜] F)} {x : E} :
     fderivWithin 𝕜 f t x ∈ s ↔
@@ -1138,10 +1057,7 @@ theorem fderivWithin_mem_iff {f : E → F} {t : Set E} {s : Set (E →L[𝕜] F)
 #align fderiv_within_mem_iff fderivWithin_mem_iff
 
 /- warning: asymptotics.is_O.has_fderiv_within_at -> Asymptotics.IsBigO.hasFDerivWithinAt is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {s : Set.{u3} E} {x₀ : E} {n : Nat}, (Asymptotics.IsBigO.{u3, u2, 0} E F Real (NormedAddCommGroup.toNorm.{u2} F _inst_4) Real.norm (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x₀ s) f (fun (x : E) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u3} E (NormedAddCommGroup.toNorm.{u3} E _inst_2) (HSub.hSub.{u3, u3, u3} E E E (instHSub.{u3} E (SubNegMonoid.toSub.{u3} E (AddGroup.toSubNegMonoid.{u3} E (NormedAddGroup.toAddGroup.{u3} E (NormedAddCommGroup.toNormedAddGroup.{u3} E _inst_2))))) x x₀)) n)) -> (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x₀ s) -> (LT.lt.{0} Nat instLTNat (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) n) -> (HasFDerivWithinAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 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(NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align asymptotics.is_O.has_fderiv_within_at Asymptotics.IsBigO.hasFDerivWithinAtₓ'. -/
 theorem Asymptotics.IsBigO.hasFDerivWithinAt {s : Set E} {x₀ : E} {n : ℕ}
     (h : f =O[𝓝[s] x₀] fun x => ‖x - x₀‖ ^ n) (hx₀ : x₀ ∈ s) (hn : 1 < n) :
@@ -1152,10 +1068,7 @@ theorem Asymptotics.IsBigO.hasFDerivWithinAt {s : Set E} {x₀ : E} {n : ℕ}
 #align asymptotics.is_O.has_fderiv_within_at Asymptotics.IsBigO.hasFDerivWithinAt
 
 /- warning: asymptotics.is_O.has_fderiv_at -> Asymptotics.IsBigO.hasFDerivAt is a dubious translation:
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(RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))) x₀)
+<too large>
 Case conversion may be inaccurate. Consider using '#align asymptotics.is_O.has_fderiv_at Asymptotics.IsBigO.hasFDerivAtₓ'. -/
 theorem Asymptotics.IsBigO.hasFDerivAt {x₀ : E} {n : ℕ} (h : f =O[𝓝 x₀] fun x => ‖x - x₀‖ ^ n)
     (hn : 1 < n) : HasFDerivAt f (0 : E →L[𝕜] F) x₀ :=
@@ -1288,10 +1201,7 @@ protected theorem HasStrictFDerivAt.continuousAt (hf : HasStrictFDerivAt f f' x)
 #align has_strict_fderiv_at.continuous_at HasStrictFDerivAt.continuousAt
 
 /- warning: has_strict_fderiv_at.is_O_sub_rev -> HasStrictFDerivAt.isBigO_sub_rev is a dubious translation:
-lean 3 declaration is
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(NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) f') x) -> (Asymptotics.IsBigO.{u2, u2, u3} (Prod.{u2, u2} E E) E F (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) (nhds.{u2} (Prod.{u2, u2} E E) (Prod.topologicalSpace.{u2, u2} E E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E 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-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {f' : ContinuousLinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasStrictFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (ContinuousLinearEquiv.toContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5) f') x) -> (Asymptotics.IsBigO.{u2, u2, u1} (Prod.{u2, u2} E E) E F (NormedAddCommGroup.toNorm.{u2} E _inst_2) (NormedAddCommGroup.toNorm.{u1} F _inst_4) (nhds.{u2} (Prod.{u2, u2} E E) (instTopologicalSpaceProd.{u2, u2} E E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (Prod.mk.{u2, u2} E E x x)) (fun (p : Prod.{u2, u2} E E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) (Prod.fst.{u2, u2} E E p) (Prod.snd.{u2, u2} E E p)) (fun (p : Prod.{u2, u2} E E) => HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (f (Prod.fst.{u2, u2} E E p)) (f (Prod.snd.{u2, u2} E E p))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.is_O_sub_rev HasStrictFDerivAt.isBigO_sub_revₓ'. -/
 theorem HasStrictFDerivAt.isBigO_sub_rev {f' : E ≃L[𝕜] F}
     (hf : HasStrictFDerivAt f (f' : E →L[𝕜] F) x) :
@@ -1301,10 +1211,7 @@ theorem HasStrictFDerivAt.isBigO_sub_rev {f' : E ≃L[𝕜] F}
 #align has_strict_fderiv_at.is_O_sub_rev HasStrictFDerivAt.isBigO_sub_rev
 
 /- warning: has_fderiv_at_filter.is_O_sub_rev -> HasFDerivAtFilter.isBigO_sub_rev is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 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(SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) f')) -> (Asymptotics.IsBigO.{u2, u2, u1} E E F (NormedAddCommGroup.toNorm.{u2} E _inst_2) (NormedAddCommGroup.toNorm.{u1} F _inst_4) L (fun (x' : E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x) (fun (x' : E) => HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (f x') (f x))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_at_filter.is_O_sub_rev HasFDerivAtFilter.isBigO_sub_revₓ'. -/
 theorem HasFDerivAtFilter.isBigO_sub_rev (hf : HasFDerivAtFilter f f' x L) {C}
     (hf' : AntilipschitzWith C f') : (fun x' => x' - x) =O[L] fun x' => f x' - f x :=
@@ -1376,10 +1283,7 @@ theorem differentiableWithinAt_congr_set (h : s =ᶠ[𝓝 x] t) :
 #align differentiable_within_at_congr_set differentiableWithinAt_congr_set
 
 /- warning: fderiv_within_congr_set' -> fderivWithin_congr_set' is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E} (y : E), (Filter.EventuallyEq.{u2, 0} E Prop (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x (HasCompl.compl.{u2} (Set.{u2} E) (BooleanAlgebra.toHasCompl.{u2} (Set.{u2} E) (Set.booleanAlgebra.{u2} E)) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) y))) s t) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_within_congr_set' fderivWithin_congr_set'ₓ'. -/
 theorem fderivWithin_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
     fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x := by
@@ -1387,20 +1291,14 @@ theorem fderivWithin_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
 #align fderiv_within_congr_set' fderivWithin_congr_set'
 
 /- warning: fderiv_within_congr_set -> fderivWithin_congr_set is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align fderiv_within_congr_set fderivWithin_congr_setₓ'. -/
 theorem fderivWithin_congr_set (h : s =ᶠ[𝓝 x] t) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
   fderivWithin_congr_set' x <| h.filter_mono inf_le_left
 #align fderiv_within_congr_set fderivWithin_congr_set
 
 /- warning: fderiv_within_eventually_congr_set' -> fderivWithin_eventually_congr_set' is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E} (y : E), (Filter.EventuallyEq.{u2, 0} E Prop (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x (HasCompl.compl.{u2} (Set.{u2} E) (BooleanAlgebra.toHasCompl.{u2} (Set.{u2} E) (Set.booleanAlgebra.{u2} E)) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) y))) s t) -> (Filter.EventuallyEq.{u2, max u2 u3} E (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t))
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E} (y : E), (Filter.EventuallyEq.{u3, 0} E Prop (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x (HasCompl.compl.{u3} (Set.{u3} E) (BooleanAlgebra.toHasCompl.{u3} (Set.{u3} E) (Set.instBooleanAlgebraSet.{u3} E)) (Singleton.singleton.{u3, u3} E (Set.{u3} E) (Set.instSingletonSet.{u3} E) y))) s t) -> (Filter.EventuallyEq.{u3, max u3 u2} E (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t))
+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_within_eventually_congr_set' fderivWithin_eventually_congr_set'ₓ'. -/
 theorem fderivWithin_eventually_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
     fderivWithin 𝕜 f s =ᶠ[𝓝 x] fderivWithin 𝕜 f t :=
@@ -1408,10 +1306,7 @@ theorem fderivWithin_eventually_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t
 #align fderiv_within_eventually_congr_set' fderivWithin_eventually_congr_set'
 
 /- warning: fderiv_within_eventually_congr_set -> fderivWithin_eventually_congr_set is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Filter.EventuallyEq.{u2, 0} E Prop (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) s t) -> (Filter.EventuallyEq.{u2, max u2 u3} E (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t))
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Filter.EventuallyEq.{u3, 0} E Prop (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) s t) -> (Filter.EventuallyEq.{u3, max u3 u2} E (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t))
+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_within_eventually_congr_set fderivWithin_eventually_congr_setₓ'. -/
 theorem fderivWithin_eventually_congr_set (h : s =ᶠ[𝓝 x] t) :
     fderivWithin 𝕜 f s =ᶠ[𝓝 x] fderivWithin 𝕜 f t :=
@@ -1419,10 +1314,7 @@ theorem fderivWithin_eventually_congr_set (h : s =ᶠ[𝓝 x] t) :
 #align fderiv_within_eventually_congr_set fderivWithin_eventually_congr_set
 
 /- warning: filter.eventually_eq.has_strict_fderiv_at_iff -> Filter.EventuallyEq.hasStrictFDerivAt_iff is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {f₀' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 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-but is expected to have type
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(Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))) f₁' y)) -> (Iff (HasStrictFDerivAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ f₀' x) (HasStrictFDerivAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f₁' x))
+<too large>
 Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.has_strict_fderiv_at_iff Filter.EventuallyEq.hasStrictFDerivAt_iffₓ'. -/
 theorem Filter.EventuallyEq.hasStrictFDerivAt_iff (h : f₀ =ᶠ[𝓝 x] f₁) (h' : ∀ y, f₀' y = f₁' y) :
     HasStrictFDerivAt f₀ f₀' x ↔ HasStrictFDerivAt f₁ f₁' x :=
@@ -1444,10 +1336,7 @@ theorem HasStrictFDerivAt.congr_of_eventuallyEq (h : HasStrictFDerivAt f f' x) (
 #align has_strict_fderiv_at.congr_of_eventually_eq HasStrictFDerivAt.congr_of_eventuallyEq
 
 /- warning: filter.eventually_eq.has_fderiv_at_filter_iff -> Filter.EventuallyEq.hasFDerivAtFilter_iff is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {f₀' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f₁' x)) -> (Iff (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ f₀' x L) (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f₁' x L))
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_inst_5)))) f₁' x)) -> (Iff (HasFDerivAtFilter.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ f₀' x L) (HasFDerivAtFilter.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f₁' x L))
+<too large>
 Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.has_fderiv_at_filter_iff Filter.EventuallyEq.hasFDerivAtFilter_iffₓ'. -/
 theorem Filter.EventuallyEq.hasFDerivAtFilter_iff (h₀ : f₀ =ᶠ[L] f₁) (hx : f₀ x = f₁ x)
     (h₁ : ∀ x, f₀' x = f₁' x) : HasFDerivAtFilter f₀ f₀' x L ↔ HasFDerivAtFilter f₁ f₁' x L :=
@@ -1664,10 +1553,7 @@ theorem DifferentiableAt.congr_of_eventuallyEq (h : DifferentiableAt 𝕜 f x) (
 #align differentiable_at.congr_of_eventually_eq DifferentiableAt.congr_of_eventuallyEq
 
 /- warning: differentiable_within_at.fderiv_within_congr_mono -> DifferentiableWithinAt.fderivWithin_congr_mono is a dubious translation:
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-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (Set.EqOn.{u2, u1} E F f₁ f t) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) t x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) t s) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t x) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+<too large>
 Case conversion may be inaccurate. Consider using '#align differentiable_within_at.fderiv_within_congr_mono DifferentiableWithinAt.fderivWithin_congr_monoₓ'. -/
 theorem DifferentiableWithinAt.fderivWithin_congr_mono (h : DifferentiableWithinAt 𝕜 f s x)
     (hs : EqOn f₁ f t) (hx : f₁ x = f x) (hxt : UniqueDiffWithinAt 𝕜 t x) (h₁ : t ⊆ s) :
@@ -1676,10 +1562,7 @@ theorem DifferentiableWithinAt.fderivWithin_congr_mono (h : DifferentiableWithin
 #align differentiable_within_at.fderiv_within_congr_mono DifferentiableWithinAt.fderivWithin_congr_mono
 
 /- warning: filter.eventually_eq.fderiv_within_eq -> Filter.EventuallyEq.fderivWithin_eq is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (Filter.EventuallyEq.{u2, u3} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u3} E}, (Filter.EventuallyEq.{u3, u2} E F (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s) f₁ f) -> (Eq.{succ u2} F (f₁ x) (f x)) -> (Eq.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+<too large>
 Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_within_eq Filter.EventuallyEq.fderivWithin_eqₓ'. -/
 theorem Filter.EventuallyEq.fderivWithin_eq (hs : f₁ =ᶠ[𝓝[s] x] f) (hx : f₁ x = f x) :
     fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x := by
@@ -1687,10 +1570,7 @@ theorem Filter.EventuallyEq.fderivWithin_eq (hs : f₁ =ᶠ[𝓝[s] x] f) (hx :
 #align filter.eventually_eq.fderiv_within_eq Filter.EventuallyEq.fderivWithin_eq
 
 /- warning: filter.eventually_eq.fderiv_within' -> Filter.EventuallyEq.fderiv_within' is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Filter.EventuallyEq.{u2, u3} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) t s) -> (Filter.EventuallyEq.{u2, max u2 u3} E (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t))
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Filter.EventuallyEq.{u3, u2} E F (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s) f₁ f) -> (HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) t s) -> (Filter.EventuallyEq.{u3, max u3 u2} E (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t))
+<too large>
 Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_within' Filter.EventuallyEq.fderiv_within'ₓ'. -/
 theorem Filter.EventuallyEq.fderiv_within' (hs : f₁ =ᶠ[𝓝[s] x] f) (ht : t ⊆ s) :
     fderivWithin 𝕜 f₁ t =ᶠ[𝓝[s] x] fderivWithin 𝕜 f t :=
@@ -1701,10 +1581,7 @@ theorem Filter.EventuallyEq.fderiv_within' (hs : f₁ =ᶠ[𝓝[s] x] f) (ht : t
 #align filter.eventually_eq.fderiv_within' Filter.EventuallyEq.fderiv_within'
 
 /- warning: filter.eventually_eq.fderiv_within -> Filter.EventuallyEq.fderivWithin is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (Filter.EventuallyEq.{u2, u3} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (Filter.EventuallyEq.{u2, max u2 u3} E (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s))
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u3} E}, (Filter.EventuallyEq.{u3, u2} E F (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s) f₁ f) -> (Filter.EventuallyEq.{u3, max u3 u2} E (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s))
+<too large>
 Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_within Filter.EventuallyEq.fderivWithinₓ'. -/
 protected theorem Filter.EventuallyEq.fderivWithin (hs : f₁ =ᶠ[𝓝[s] x] f) :
     fderivWithin 𝕜 f₁ s =ᶠ[𝓝[s] x] fderivWithin 𝕜 f s :=
@@ -1712,10 +1589,7 @@ protected theorem Filter.EventuallyEq.fderivWithin (hs : f₁ =ᶠ[𝓝[s] x] f)
 #align filter.eventually_eq.fderiv_within Filter.EventuallyEq.fderivWithin
 
 /- warning: filter.eventually_eq.fderiv_within_eq_nhds -> Filter.EventuallyEq.fderivWithin_eq_nhds is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (Filter.EventuallyEq.{u2, u3} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₁ f) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_within_eq_nhds Filter.EventuallyEq.fderivWithin_eq_nhdsₓ'. -/
 theorem Filter.EventuallyEq.fderivWithin_eq_nhds (h : f₁ =ᶠ[𝓝 x] f) :
     fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
@@ -1723,10 +1597,7 @@ theorem Filter.EventuallyEq.fderivWithin_eq_nhds (h : f₁ =ᶠ[𝓝 x] f) :
 #align filter.eventually_eq.fderiv_within_eq_nhds Filter.EventuallyEq.fderivWithin_eq_nhds
 
 /- warning: fderiv_within_congr -> fderivWithin_congr is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_within_congr fderivWithin_congrₓ'. -/
 theorem fderivWithin_congr (hs : EqOn f₁ f s) (hx : f₁ x = f x) :
     fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
@@ -1734,10 +1605,7 @@ theorem fderivWithin_congr (hs : EqOn f₁ f s) (hx : f₁ x = f x) :
 #align fderiv_within_congr fderivWithin_congr
 
 /- warning: fderiv_within_congr' -> fderivWithin_congr' is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (Set.EqOn.{u2, u3} E F f₁ f s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_within_congr' fderivWithin_congr'ₓ'. -/
 theorem fderivWithin_congr' (hs : EqOn f₁ f s) (hx : x ∈ s) :
     fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
@@ -1745,20 +1613,14 @@ theorem fderivWithin_congr' (hs : EqOn f₁ f s) (hx : x ∈ s) :
 #align fderiv_within_congr' fderivWithin_congr'
 
 /- warning: filter.eventually_eq.fderiv_eq -> Filter.EventuallyEq.fderiv_eq is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_eq Filter.EventuallyEq.fderiv_eqₓ'. -/
 theorem Filter.EventuallyEq.fderiv_eq (h : f₁ =ᶠ[𝓝 x] f) : fderiv 𝕜 f₁ x = fderiv 𝕜 f x := by
   rw [← fderivWithin_univ, ← fderivWithin_univ, h.fderiv_within_eq_nhds]
 #align filter.eventually_eq.fderiv_eq Filter.EventuallyEq.fderiv_eq
 
 /- warning: filter.eventually_eq.fderiv -> Filter.EventuallyEq.fderiv is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv Filter.EventuallyEq.fderivₓ'. -/
 protected theorem Filter.EventuallyEq.fderiv (h : f₁ =ᶠ[𝓝 x] f) : fderiv 𝕜 f₁ =ᶠ[𝓝 x] fderiv 𝕜 f :=
   h.eventuallyEq_nhds.mono fun x h => h.fderiv_eq
@@ -1909,10 +1771,7 @@ section Const
 
 
 /- warning: has_strict_fderiv_at_const -> hasStrictFDerivAt_const is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] (c : F) (x : E), HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (_x : E) => c) (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (OfNat.mk.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) x
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] (c : F) (x : E), HasStrictFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (_x : E) => c) (OfNat.ofNat.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) x
+<too large>
 Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at_const hasStrictFDerivAt_constₓ'. -/
 theorem hasStrictFDerivAt_const (c : F) (x : E) :
     HasStrictFDerivAt (fun _ => c) (0 : E →L[𝕜] F) x :=
@@ -1920,10 +1779,7 @@ theorem hasStrictFDerivAt_const (c : F) (x : E) :
 #align has_strict_fderiv_at_const hasStrictFDerivAt_const
 
 /- warning: has_fderiv_at_filter_const -> hasFDerivAtFilter_const is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] (c : F) (x : E) (L : Filter.{u2} E), HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c) (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) 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𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) x L
-but is expected to have type
-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] (c : F) (x : E) (L : Filter.{u3} E), HasFDerivAtFilter.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c) (OfNat.ofNat.{max u3 u1} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u3 u1} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) x L
+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_at_filter_const hasFDerivAtFilter_constₓ'. -/
 theorem hasFDerivAtFilter_const (c : F) (x : E) (L : Filter E) :
     HasFDerivAtFilter (fun x => c) (0 : E →L[𝕜] F) x L :=
@@ -1931,10 +1787,7 @@ theorem hasFDerivAtFilter_const (c : F) (x : E) (L : Filter E) :
 #align has_fderiv_at_filter_const hasFDerivAtFilter_const
 
 /- warning: has_fderiv_within_at_const -> hasFDerivWithinAt_const is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] (c : F) (x : E) (s : Set.{u2} E), HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c) (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) s x
-but is expected to have type
-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] (c : F) (x : E) (s : Set.{u3} E), HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c) (OfNat.ofNat.{max u3 u1} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) s x
+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_const hasFDerivWithinAt_constₓ'. -/
 theorem hasFDerivWithinAt_const (c : F) (x : E) (s : Set E) :
     HasFDerivWithinAt (fun x => c) (0 : E →L[𝕜] F) s x :=
@@ -1942,10 +1795,7 @@ theorem hasFDerivWithinAt_const (c : F) (x : E) (s : Set E) :
 #align has_fderiv_within_at_const hasFDerivWithinAt_const
 
 /- warning: has_fderiv_at_const -> hasFDerivAt_const is a dubious translation:
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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) x
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] (c : F) (x : E), HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c) (OfNat.ofNat.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) 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(SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) x
+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_at_const hasFDerivAt_constₓ'. -/
 theorem hasFDerivAt_const (c : F) (x : E) : HasFDerivAt (fun x => c) (0 : E →L[𝕜] F) x :=
   hasFDerivAtFilter_const _ _ _
@@ -1973,20 +1823,14 @@ theorem differentiableWithinAt_const (c : F) : DifferentiableWithinAt 𝕜 (fun
 #align differentiable_within_at_const differentiableWithinAt_const
 
 /- warning: fderiv_const_apply -> fderiv_const_apply is a dubious translation:
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-but is expected to have type
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𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (y : E) => c) x) (OfNat.ofNat.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) 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(NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_const_apply fderiv_const_applyₓ'. -/
 theorem fderiv_const_apply (c : F) : fderiv 𝕜 (fun y => c) x = 0 :=
   HasFDerivAt.fderiv (hasFDerivAt_const c x)
 #align fderiv_const_apply fderiv_const_apply
 
 /- warning: fderiv_const -> fderiv_const is a dubious translation:
-lean 3 declaration is
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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))))
-but is expected to have type
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_inst_5)) (fun (i : E) => ContinuousLinearMap.zero.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_const fderiv_constₓ'. -/
 @[simp]
 theorem fderiv_const (c : F) : (fderiv 𝕜 fun y : E => c) = 0 :=
@@ -1997,10 +1841,7 @@ theorem fderiv_const (c : F) : (fderiv 𝕜 fun y : E => c) = 0 :=
 #align fderiv_const fderiv_const
 
 /- warning: fderiv_within_const_apply -> fderivWithin_const_apply is a dubious translation:
-lean 3 declaration is
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_inst_2)))) s x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {x : E} {s : Set.{u2} E} (c : F), (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (y : E) => c) s x) (OfNat.ofNat.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align fderiv_within_const_apply fderivWithin_const_applyₓ'. -/
 theorem fderivWithin_const_apply (c : F) (hxs : UniqueDiffWithinAt 𝕜 s x) :
     fderivWithin 𝕜 (fun y => c) s x = 0 :=
@@ -2031,10 +1872,7 @@ theorem differentiableOn_const (c : F) : DifferentiableOn 𝕜 (fun x => c) s :=
 #align differentiable_on_const differentiableOn_const
 
 /- warning: has_fderiv_within_at_singleton -> hasFDerivWithinAt_singleton is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] (f : E -> F) (x : E), HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (OfNat.mk.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x) x
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] (f : E -> F) (x : E), HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x) x
+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_singleton hasFDerivWithinAt_singletonₓ'. -/
 theorem hasFDerivWithinAt_singleton (f : E → F) (x : E) :
     HasFDerivWithinAt f (0 : E →L[𝕜] F) {x} x := by
@@ -2043,10 +1881,7 @@ theorem hasFDerivWithinAt_singleton (f : E → F) (x : E) :
 #align has_fderiv_within_at_singleton hasFDerivWithinAt_singleton
 
 /- warning: has_fderiv_at_of_subsingleton -> hasFDerivAt_of_subsingleton is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [h : Subsingleton.{succ u2} E] (f : E -> F) (x : E), HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) 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(AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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-but is expected to have type
-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] [h : Subsingleton.{succ u3} E] (f : E -> F) (x : E), HasFDerivAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{max u3 u1} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) x
+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_at_of_subsingleton hasFDerivAt_of_subsingletonₓ'. -/
 theorem hasFDerivAt_of_subsingleton [h : Subsingleton E] (f : E → F) (x : E) :
     HasFDerivAt f (0 : E →L[𝕜] F) x :=
@@ -2085,10 +1920,7 @@ theorem Set.Subsingleton.differentiableOn (hs : s.Subsingleton) : Differentiable
 #align set.subsingleton.differentiable_on Set.Subsingleton.differentiableOn
 
 /- warning: has_fderiv_at_zero_of_eventually_const -> hasFDerivAt_zero_of_eventually_const is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} (c : F), (Filter.EventuallyEq.{u2, u3} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f (fun (y : E) => c)) -> (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) x)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {x : E} (c : F), (Filter.EventuallyEq.{u3, u2} E F (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) f (fun (y : E) => c)) -> (HasFDerivAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))) x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align has_fderiv_at_zero_of_eventually_const hasFDerivAt_zero_of_eventually_constₓ'. -/
 theorem hasFDerivAt_zero_of_eventually_const (c : F) (hf : f =ᶠ[𝓝 x] fun y => c) :
     HasFDerivAt f (0 : E →L[𝕜] F) x :=
@@ -2110,10 +1942,7 @@ variable (𝕜 : Type _) {E F : Type _} [NontriviallyNormedField 𝕜] [NormedAd
   [NormedSpace 𝕜 E] [NormedAddCommGroup F] [NormedSpace 𝕜 F] {f : E → F}
 
 /- warning: support_fderiv_subset -> support_fderiv_subset is a dubious translation:
-lean 3 declaration is
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F}, HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (Function.support.{u2, max u2 u3} E (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (tsupport.{u2, u3} E F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4)))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) f)
-but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u3}} {F : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F}, HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) (Function.support.{u3, max u2 u3} E (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (tsupport.{u3, u2} E F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)))))) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align support_fderiv_subset support_fderiv_subsetₓ'. -/
 theorem support_fderiv_subset : support (fderiv 𝕜 f) ⊆ tsupport f :=
   by
@@ -2123,20 +1952,14 @@ theorem support_fderiv_subset : support (fderiv 𝕜 f) ⊆ tsupport f :=
 #align support_fderiv_subset support_fderiv_subset
 
 /- warning: tsupport_fderiv_subset -> tsupport_fderiv_subset is a dubious translation:
-lean 3 declaration is
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F}, HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (tsupport.{u2, max u2 u3} E (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (tsupport.{u2, u3} E F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4)))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) f)
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-  forall (𝕜 : Type.{u1}) {E : Type.{u3}} {F : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F}, HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) (tsupport.{u3, max u2 u3} E (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (tsupport.{u3, u2} E F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)))))) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align tsupport_fderiv_subset tsupport_fderiv_subsetₓ'. -/
 theorem tsupport_fderiv_subset : tsupport (fderiv 𝕜 f) ⊆ tsupport f :=
   closure_minimal (support_fderiv_subset 𝕜) isClosed_closure
 #align tsupport_fderiv_subset tsupport_fderiv_subset
 
 /- warning: has_compact_support.fderiv -> HasCompactSupport.fderiv is a dubious translation:
-lean 3 declaration is
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F}, (HasCompactSupport.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4)))))) f) -> (HasCompactSupport.{u2, max u2 u3} E (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
-but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u3}} {F : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F}, (HasCompactSupport.{u3, u2} E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)))))) f) -> (HasCompactSupport.{u3, max u2 u3} E (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (ContinuousLinearMap.zero.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align has_compact_support.fderiv HasCompactSupport.fderivₓ'. -/
 theorem HasCompactSupport.fderiv (hf : HasCompactSupport f) : HasCompactSupport (fderiv 𝕜 f) :=
   hf.mono' <| support_fderiv_subset 𝕜

bump to nightly-2023-05-26-00

mathlib commit https://github.com/leanprover-community/mathlib/commit/ef95945cd48c932c9e034872bd25c3c220d9c946

6bc7c80e

Diff

@@ -556,7 +556,7 @@ alias hasFDerivWithinAt_univ ↔ HasFDerivWithinAt.hasFDerivAt_of_univ _
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {y : E}, Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) y s) x) (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
 but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : E} {x : Set.{u2} E} {s : E} {y : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, Iff (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) s x) f') (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y x f')
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {y : E}, Iff (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) y s) x) (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_insert hasFDerivWithinAt_insertₓ'. -/
 theorem hasFDerivWithinAt_insert {y : E} :
     HasFDerivWithinAt f f' (insert y s) x ↔ HasFDerivWithinAt f f' s x :=
@@ -573,13 +573,13 @@ theorem hasFDerivWithinAt_insert {y : E} :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {y : E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) y s) x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
 but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : E} {x : Set.{u2} E} {s : E} {y : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) s x) f') -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y x f')
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {y : E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) y s) x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.of_insert HasFDerivWithinAt.of_insertₓ'. -/
 /- warning: has_fderiv_within_at.insert' -> HasFDerivWithinAt.insert' is a dubious translation:
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {y : E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) y s) x)
 but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : E} {x : Set.{u2} E} {s : E} {y : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y x f') -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) s x) f')
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {y : E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) y s) x)
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.insert' HasFDerivWithinAt.insert'ₓ'. -/
 alias hasFDerivWithinAt_insert ↔ HasFDerivWithinAt.of_insert HasFDerivWithinAt.insert'
 #align has_fderiv_within_at.of_insert HasFDerivWithinAt.of_insert
@@ -589,13 +589,19 @@ alias hasFDerivWithinAt_insert ↔ HasFDerivWithinAt.of_insert HasFDerivWithinAt
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) x s) x)
 but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : E} {x : Set.{u2} E} {s : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x f') -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) f' x) f')
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) x s) x)
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.insert HasFDerivWithinAt.insertₓ'. -/
 theorem HasFDerivWithinAt.insert (h : HasFDerivWithinAt f f' s x) :
     HasFDerivWithinAt f f' (insert x s) x :=
   h.insert'
 #align has_fderiv_within_at.insert HasFDerivWithinAt.insert
 
+/- warning: has_fderiv_within_at_diff_singleton -> hasFDerivWithinAt_diff_singleton is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} (y : E), Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (SDiff.sdiff.{u2} (Set.{u2} E) (BooleanAlgebra.toHasSdiff.{u2} (Set.{u2} E) (Set.booleanAlgebra.{u2} E)) s (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) y)) x) (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} (y : E), Iff (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (SDiff.sdiff.{u2} (Set.{u2} E) (Set.instSDiffSet.{u2} E) s (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) y)) x) (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_diff_singleton hasFDerivWithinAt_diff_singletonₓ'. -/
 theorem hasFDerivWithinAt_diff_singleton (y : E) :
     HasFDerivWithinAt f f' (s \ {y}) x ↔ HasFDerivWithinAt f f' s x := by
   rw [← hasFDerivWithinAt_insert, insert_diff_singleton, hasFDerivWithinAt_insert]
@@ -1032,6 +1038,12 @@ theorem differentiableOn_of_locally_differentiableOn
   exact (differentiableWithinAt_inter (IsOpen.mem_nhds t_open xt)).1 (ht x ⟨xs, xt⟩)
 #align differentiable_on_of_locally_differentiable_on differentiableOn_of_locally_differentiableOn
 
+/- warning: fderiv_within_of_mem -> fderivWithin_of_mem is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) t (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s)) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Membership.mem.{u3, u3} (Set.{u3} E) (Filter.{u3} E) (instMembershipSetFilter.{u3} E) t (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s)) -> (UniqueDiffWithinAt.{u2, u3} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) s x) -> (DifferentiableWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) -> (Eq.{max (succ u3) (succ u1)} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderivWithin.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_of_mem fderivWithin_of_memₓ'. -/
 theorem fderivWithin_of_mem (st : t ∈ 𝓝[s] x) (ht : UniqueDiffWithinAt 𝕜 s x)
     (h : DifferentiableWithinAt 𝕜 f t x) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
   ((DifferentiableWithinAt.hasFDerivWithinAt h).mono_of_mem st).fderivWithin ht
@@ -1052,7 +1064,7 @@ theorem fderivWithin_subset (st : s ⊆ t) (ht : UniqueDiffWithinAt 𝕜 s x)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) t (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u2} (Set.{u2} E) (Set.hasInter.{u2} E) s t) x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Membership.mem.{u3, u3} (Set.{u3} E) (Filter.{u3} E) (instMembershipSetFilter.{u3} E) t (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x)) -> (UniqueDiffWithinAt.{u2, u3} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) s x) -> (Eq.{max (succ u3) (succ u1)} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u3} (Set.{u3} E) (Set.instInterSet.{u3} E) s t) x) (fderivWithin.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Membership.mem.{u3, u3} (Set.{u3} E) (Filter.{u3} E) (instMembershipSetFilter.{u3} E) t (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x)) -> (Eq.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u3} (Set.{u3} E) (Set.instInterSet.{u3} E) s t) x) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 Case conversion may be inaccurate. Consider using '#align fderiv_within_inter fderivWithin_interₓ'. -/
 theorem fderivWithin_inter (ht : t ∈ 𝓝 x) : fderivWithin 𝕜 f (s ∩ t) x = fderivWithin 𝕜 f s x := by
   simp only [fderivWithin, hasFDerivWithinAt_inter ht]
@@ -1310,6 +1322,12 @@ section congr
 /-! ### congr properties of the derivative -/
 
 
+/- warning: has_fderiv_within_at_congr_set' -> hasFDerivWithinAt_congr_set' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E} (y : E), (Filter.EventuallyEq.{u2, 0} E Prop (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x (HasCompl.compl.{u2} (Set.{u2} E) (BooleanAlgebra.toHasCompl.{u2} (Set.{u2} E) (Set.booleanAlgebra.{u2} E)) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) y))) s t) -> (Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u3} E} {t : Set.{u3} E} (y : E), (Filter.EventuallyEq.{u3, 0} E Prop (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x (HasCompl.compl.{u3} (Set.{u3} E) (BooleanAlgebra.toHasCompl.{u3} (Set.{u3} E) (Set.instBooleanAlgebraSet.{u3} E)) (Singleton.singleton.{u3, u3} E (Set.{u3} E) (Set.instSingletonSet.{u3} E) y))) s t) -> (Iff (HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) (HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x))
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_congr_set' hasFDerivWithinAt_congr_set'ₓ'. -/
 theorem hasFDerivWithinAt_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
     HasFDerivWithinAt f f' s x ↔ HasFDerivWithinAt f f' t x :=
   calc
@@ -1324,35 +1342,77 @@ theorem hasFDerivWithinAt_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
     
 #align has_fderiv_within_at_congr_set' hasFDerivWithinAt_congr_set'
 
+/- warning: has_fderiv_within_at_congr_set -> hasFDerivWithinAt_congr_set is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Filter.EventuallyEq.{u2, 0} E Prop (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) s t) -> (Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Filter.EventuallyEq.{u3, 0} E Prop (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) s t) -> (Iff (HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) (HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x))
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_congr_set hasFDerivWithinAt_congr_setₓ'. -/
 theorem hasFDerivWithinAt_congr_set (h : s =ᶠ[𝓝 x] t) :
     HasFDerivWithinAt f f' s x ↔ HasFDerivWithinAt f f' t x :=
   hasFDerivWithinAt_congr_set' x <| h.filter_mono inf_le_left
 #align has_fderiv_within_at_congr_set hasFDerivWithinAt_congr_set
 
+/- warning: differentiable_within_at_congr_set' -> differentiableWithinAt_congr_set' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E} (y : E), (Filter.EventuallyEq.{u2, 0} E Prop (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x (HasCompl.compl.{u2} (Set.{u2} E) (BooleanAlgebra.toHasCompl.{u2} (Set.{u2} E) (Set.booleanAlgebra.{u2} E)) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) y))) s t) -> (Iff (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E} (y : E), (Filter.EventuallyEq.{u3, 0} E Prop (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x (HasCompl.compl.{u3} (Set.{u3} E) (BooleanAlgebra.toHasCompl.{u3} (Set.{u3} E) (Set.instBooleanAlgebraSet.{u3} E)) (Singleton.singleton.{u3, u3} E (Set.{u3} E) (Set.instSingletonSet.{u3} E) y))) s t) -> (Iff (DifferentiableWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (DifferentiableWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
+Case conversion may be inaccurate. Consider using '#align differentiable_within_at_congr_set' differentiableWithinAt_congr_set'ₓ'. -/
 theorem differentiableWithinAt_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
     DifferentiableWithinAt 𝕜 f s x ↔ DifferentiableWithinAt 𝕜 f t x :=
   exists_congr fun _ => hasFDerivWithinAt_congr_set' _ h
 #align differentiable_within_at_congr_set' differentiableWithinAt_congr_set'
 
+/- warning: differentiable_within_at_congr_set -> differentiableWithinAt_congr_set is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Filter.EventuallyEq.{u2, 0} E Prop (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) s t) -> (Iff (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Filter.EventuallyEq.{u3, 0} E Prop (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) s t) -> (Iff (DifferentiableWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (DifferentiableWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
+Case conversion may be inaccurate. Consider using '#align differentiable_within_at_congr_set differentiableWithinAt_congr_setₓ'. -/
 theorem differentiableWithinAt_congr_set (h : s =ᶠ[𝓝 x] t) :
     DifferentiableWithinAt 𝕜 f s x ↔ DifferentiableWithinAt 𝕜 f t x :=
   exists_congr fun _ => hasFDerivWithinAt_congr_set h
 #align differentiable_within_at_congr_set differentiableWithinAt_congr_set
 
+/- warning: fderiv_within_congr_set' -> fderivWithin_congr_set' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E} (y : E), (Filter.EventuallyEq.{u2, 0} E Prop (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x (HasCompl.compl.{u2} (Set.{u2} E) (BooleanAlgebra.toHasCompl.{u2} (Set.{u2} E) (Set.booleanAlgebra.{u2} E)) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) y))) s t) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E} (y : E), (Filter.EventuallyEq.{u3, 0} E Prop (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x (HasCompl.compl.{u3} (Set.{u3} E) (BooleanAlgebra.toHasCompl.{u3} (Set.{u3} E) (Set.instBooleanAlgebraSet.{u3} E)) (Singleton.singleton.{u3, u3} E (Set.{u3} E) (Set.instSingletonSet.{u3} E) y))) s t) -> (Eq.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_congr_set' fderivWithin_congr_set'ₓ'. -/
 theorem fderivWithin_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
     fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x := by
   simp only [fderivWithin, hasFDerivWithinAt_congr_set' y h]
 #align fderiv_within_congr_set' fderivWithin_congr_set'
 
+/- warning: fderiv_within_congr_set -> fderivWithin_congr_set is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Filter.EventuallyEq.{u2, 0} E Prop (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) s t) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Filter.EventuallyEq.{u3, 0} E Prop (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) s t) -> (Eq.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_congr_set fderivWithin_congr_setₓ'. -/
 theorem fderivWithin_congr_set (h : s =ᶠ[𝓝 x] t) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
   fderivWithin_congr_set' x <| h.filter_mono inf_le_left
 #align fderiv_within_congr_set fderivWithin_congr_set
 
+/- warning: fderiv_within_eventually_congr_set' -> fderivWithin_eventually_congr_set' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E} (y : E), (Filter.EventuallyEq.{u2, 0} E Prop (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x (HasCompl.compl.{u2} (Set.{u2} E) (BooleanAlgebra.toHasCompl.{u2} (Set.{u2} E) (Set.booleanAlgebra.{u2} E)) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) y))) s t) -> (Filter.EventuallyEq.{u2, max u2 u3} E (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E} (y : E), (Filter.EventuallyEq.{u3, 0} E Prop (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x (HasCompl.compl.{u3} (Set.{u3} E) (BooleanAlgebra.toHasCompl.{u3} (Set.{u3} E) (Set.instBooleanAlgebraSet.{u3} E)) (Singleton.singleton.{u3, u3} E (Set.{u3} E) (Set.instSingletonSet.{u3} E) y))) s t) -> (Filter.EventuallyEq.{u3, max u3 u2} E (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_eventually_congr_set' fderivWithin_eventually_congr_set'ₓ'. -/
 theorem fderivWithin_eventually_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
     fderivWithin 𝕜 f s =ᶠ[𝓝 x] fderivWithin 𝕜 f t :=
   (eventually_nhds_nhdsWithin.2 h).mono fun _ => fderivWithin_congr_set' y
 #align fderiv_within_eventually_congr_set' fderivWithin_eventually_congr_set'
 
+/- warning: fderiv_within_eventually_congr_set -> fderivWithin_eventually_congr_set is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Filter.EventuallyEq.{u2, 0} E Prop (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) s t) -> (Filter.EventuallyEq.{u2, max u2 u3} E (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Filter.EventuallyEq.{u3, 0} E Prop (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) s t) -> (Filter.EventuallyEq.{u3, max u3 u2} E (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_eventually_congr_set fderivWithin_eventually_congr_setₓ'. -/
 theorem fderivWithin_eventually_congr_set (h : s =ᶠ[𝓝 x] t) :
     fderivWithin 𝕜 f s =ᶠ[𝓝 x] fderivWithin 𝕜 f t :=
   fderivWithin_eventually_congr_set' x <| h.filter_mono inf_le_left
@@ -1476,7 +1536,7 @@ theorem Filter.EventuallyEq.differentiableWithinAt_iff_of_mem (h : f₀ =ᶠ[
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Set.EqOn.{u2, u3} E F f₁ f t) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) t s) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' t x)
 but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x t) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) t s) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' t x)
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Set.EqOn.{u2, u1} E F f₁ f t) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) t s) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' t x)
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.congr_mono HasFDerivWithinAt.congr_monoₓ'. -/
 theorem HasFDerivWithinAt.congr_mono (h : HasFDerivWithinAt f f' s x) (ht : EqOn f₁ f t)
     (hx : f₁ x = f x) (h₁ : t ⊆ s) : HasFDerivWithinAt f₁ f' t x :=
@@ -1487,7 +1547,7 @@ theorem HasFDerivWithinAt.congr_mono (h : HasFDerivWithinAt f f' s x) (ht : EqOn
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Set.EqOn.{u2, u3} E F f₁ f s) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
 but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Set.EqOn.{u2, u1} E F f₁ f s) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.congr HasFDerivWithinAt.congrₓ'. -/
 theorem HasFDerivWithinAt.congr (h : HasFDerivWithinAt f f' s x) (hs : EqOn f₁ f s)
     (hx : f₁ x = f x) : HasFDerivWithinAt f₁ f' s x :=
@@ -1498,7 +1558,7 @@ theorem HasFDerivWithinAt.congr (h : HasFDerivWithinAt f f' s x) (hs : EqOn f₁
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Set.EqOn.{u2, u3} E F f₁ f s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
 but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Set.EqOn.{u2, u1} E F f₁ f s) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.congr' HasFDerivWithinAt.congr'ₓ'. -/
 theorem HasFDerivWithinAt.congr' (h : HasFDerivWithinAt f f' s x) (hs : EqOn f₁ f s) (hx : x ∈ s) :
     HasFDerivWithinAt f₁ f' s x :=
@@ -1531,7 +1591,7 @@ theorem HasFDerivAt.congr_of_eventuallyEq (h : HasFDerivAt f f' x) (h₁ : f₁
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (Set.EqOn.{u2, u3} E F f₁ f t) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) t s) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t x)
 but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x t) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) t s) -> (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t x)
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (Set.EqOn.{u2, u1} E F f₁ f t) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) t s) -> (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t x)
 Case conversion may be inaccurate. Consider using '#align differentiable_within_at.congr_mono DifferentiableWithinAt.congr_monoₓ'. -/
 theorem DifferentiableWithinAt.congr_mono (h : DifferentiableWithinAt 𝕜 f s x) (ht : EqOn f₁ f t)
     (hx : f₁ x = f x) (h₁ : t ⊆ s) : DifferentiableWithinAt 𝕜 f₁ t x :=
@@ -1607,7 +1667,7 @@ theorem DifferentiableAt.congr_of_eventuallyEq (h : DifferentiableAt 𝕜 f x) (
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (Set.EqOn.{u2, u3} E F f₁ f t) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) t x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) t s) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x t) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) t x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) t s) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t x) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (Set.EqOn.{u2, u1} E F f₁ f t) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) t x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) t s) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t x) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 Case conversion may be inaccurate. Consider using '#align differentiable_within_at.fderiv_within_congr_mono DifferentiableWithinAt.fderivWithin_congr_monoₓ'. -/
 theorem DifferentiableWithinAt.fderivWithin_congr_mono (h : DifferentiableWithinAt 𝕜 f s x)
     (hs : EqOn f₁ f t) (hx : f₁ x = f x) (hxt : UniqueDiffWithinAt 𝕜 t x) (h₁ : t ⊆ s) :
@@ -1619,13 +1679,19 @@ theorem DifferentiableWithinAt.fderivWithin_congr_mono (h : DifferentiableWithin
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (Filter.EventuallyEq.{u2, u3} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Filter.EventuallyEq.{u2, u1} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u3} E}, (Filter.EventuallyEq.{u3, u2} E F (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s) f₁ f) -> (Eq.{succ u2} F (f₁ x) (f x)) -> (Eq.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_within_eq Filter.EventuallyEq.fderivWithin_eqₓ'. -/
 theorem Filter.EventuallyEq.fderivWithin_eq (hs : f₁ =ᶠ[𝓝[s] x] f) (hx : f₁ x = f x) :
     fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x := by
   simp only [fderivWithin, hs.has_fderiv_within_at_iff hx]
 #align filter.eventually_eq.fderiv_within_eq Filter.EventuallyEq.fderivWithin_eq
 
+/- warning: filter.eventually_eq.fderiv_within' -> Filter.EventuallyEq.fderiv_within' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Filter.EventuallyEq.{u2, u3} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) t s) -> (Filter.EventuallyEq.{u2, max u2 u3} E (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Filter.EventuallyEq.{u3, u2} E F (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s) f₁ f) -> (HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) t s) -> (Filter.EventuallyEq.{u3, max u3 u2} E (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t))
+Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_within' Filter.EventuallyEq.fderiv_within'ₓ'. -/
 theorem Filter.EventuallyEq.fderiv_within' (hs : f₁ =ᶠ[𝓝[s] x] f) (ht : t ⊆ s) :
     fderivWithin 𝕜 f₁ t =ᶠ[𝓝[s] x] fderivWithin 𝕜 f t :=
   (eventually_nhdsWithin_nhdsWithin.2 hs).mp <|
@@ -1634,6 +1700,12 @@ theorem Filter.EventuallyEq.fderiv_within' (hs : f₁ =ᶠ[𝓝[s] x] f) (ht : t
         (hs.self_of_nhdsWithin hys)
 #align filter.eventually_eq.fderiv_within' Filter.EventuallyEq.fderiv_within'
 
+/- warning: filter.eventually_eq.fderiv_within -> Filter.EventuallyEq.fderivWithin is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (Filter.EventuallyEq.{u2, u3} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (Filter.EventuallyEq.{u2, max u2 u3} E (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u3} E}, (Filter.EventuallyEq.{u3, u2} E F (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s) f₁ f) -> (Filter.EventuallyEq.{u3, max u3 u2} E (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s))
+Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_within Filter.EventuallyEq.fderivWithinₓ'. -/
 protected theorem Filter.EventuallyEq.fderivWithin (hs : f₁ =ᶠ[𝓝[s] x] f) :
     fderivWithin 𝕜 f₁ s =ᶠ[𝓝[s] x] fderivWithin 𝕜 f s :=
   hs.fderiv_within' Subset.rfl
@@ -1643,7 +1715,7 @@ protected theorem Filter.EventuallyEq.fderivWithin (hs : f₁ =ᶠ[𝓝[s] x] f)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (Filter.EventuallyEq.{u2, u3} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₁ f) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Filter.EventuallyEq.{u2, u1} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₁ f) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u3} E}, (Filter.EventuallyEq.{u3, u2} E F (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) f₁ f) -> (Eq.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_within_eq_nhds Filter.EventuallyEq.fderivWithin_eq_nhdsₓ'. -/
 theorem Filter.EventuallyEq.fderivWithin_eq_nhds (h : f₁ =ᶠ[𝓝 x] f) :
     fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
@@ -1654,7 +1726,7 @@ theorem Filter.EventuallyEq.fderivWithin_eq_nhds (h : f₁ =ᶠ[𝓝 x] f) :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (Set.EqOn.{u2, u3} E F f₁ f s) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (forall (y : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) -> (Eq.{succ u1} F (f₁ y) (f y))) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u3} E}, (Set.EqOn.{u3, u2} E F f₁ f s) -> (Eq.{succ u2} F (f₁ x) (f x)) -> (Eq.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 Case conversion may be inaccurate. Consider using '#align fderiv_within_congr fderivWithin_congrₓ'. -/
 theorem fderivWithin_congr (hs : EqOn f₁ f s) (hx : f₁ x = f x) :
     fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
@@ -1665,7 +1737,7 @@ theorem fderivWithin_congr (hs : EqOn f₁ f s) (hx : f₁ x = f x) :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (Set.EqOn.{u2, u3} E F f₁ f s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (forall (y : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) -> (Eq.{succ u1} F (f₁ y) (f y))) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u3} E}, (Set.EqOn.{u3, u2} E F f₁ f s) -> (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x s) -> (Eq.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 Case conversion may be inaccurate. Consider using '#align fderiv_within_congr' fderivWithin_congr'ₓ'. -/
 theorem fderivWithin_congr' (hs : EqOn f₁ f s) (hx : x ∈ s) :
     fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
@@ -2050,6 +2122,12 @@ theorem support_fderiv_subset : support (fderiv 𝕜 f) ⊆ tsupport f :=
   exact fun hx => hx.fderiv_eq.trans <| fderiv_const_apply 0
 #align support_fderiv_subset support_fderiv_subset
 
+/- warning: tsupport_fderiv_subset -> tsupport_fderiv_subset is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F}, HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (tsupport.{u2, max u2 u3} E (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (tsupport.{u2, u3} E F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4)))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) f)
+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u3}} {F : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F}, HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) (tsupport.{u3, max u2 u3} E (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (tsupport.{u3, u2} E F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)))))) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) f)
+Case conversion may be inaccurate. Consider using '#align tsupport_fderiv_subset tsupport_fderiv_subsetₓ'. -/
 theorem tsupport_fderiv_subset : tsupport (fderiv 𝕜 f) ⊆ tsupport f :=
   closure_minimal (support_fderiv_subset 𝕜) isClosed_closure
 #align tsupport_fderiv_subset tsupport_fderiv_subset

bump to nightly-2023-05-25-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/ef95945cd48c932c9e034872bd25c3c220d9c946

2175c3c2

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
 
 ! This file was ported from Lean 3 source module analysis.calculus.fderiv.basic
-! leanprover-community/mathlib commit 4280f5f32e16755ec7985ce11e189b6cd6ff6735
+! leanprover-community/mathlib commit 3a69562db5a458db8322b190ec8d9a8bbd8a5b14
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -554,32 +554,32 @@ alias hasFDerivWithinAt_univ ↔ HasFDerivWithinAt.hasFDerivAt_of_univ _
 
 /- warning: has_fderiv_within_at_insert -> hasFDerivWithinAt_insert is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {g : E -> F} {x : E} {s : Set.{u2} E} {y : E} {g' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) y s) x) (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' s x)
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {y : E}, Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) y s) x) (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
 but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {g : E -> F} {x : E} {s : Set.{u2} E} {y : E} {g' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, Iff (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) y s) x) (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' s x)
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : E} {x : Set.{u2} E} {s : E} {y : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, Iff (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) s x) f') (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y x f')
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_insert hasFDerivWithinAt_insertₓ'. -/
-theorem hasFDerivWithinAt_insert {y : E} {g' : E →L[𝕜] F} :
-    HasFDerivWithinAt g g' (insert y s) x ↔ HasFDerivWithinAt g g' s x :=
+theorem hasFDerivWithinAt_insert {y : E} :
+    HasFDerivWithinAt f f' (insert y s) x ↔ HasFDerivWithinAt f f' s x :=
   by
   rcases eq_or_ne x y with (rfl | h)
   · simp_rw [HasFDerivWithinAt, HasFDerivAtFilter]
     apply Asymptotics.isLittleO_insert
-    simp only [sub_self, g'.map_zero]
-  refine' ⟨fun h => h.mono <| subset_insert y s, fun hg => hg.mono_of_mem _⟩
+    simp only [sub_self, map_zero]
+  refine' ⟨fun h => h.mono <| subset_insert y s, fun hf => hf.mono_of_mem _⟩
   simp_rw [nhdsWithin_insert_of_ne h, self_mem_nhdsWithin]
 #align has_fderiv_within_at_insert hasFDerivWithinAt_insert
 
 /- warning: has_fderiv_within_at.of_insert -> HasFDerivWithinAt.of_insert is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {g : E -> F} {x : E} {s : Set.{u2} E} {y : E} {g' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) y s) x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' s x)
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {y : E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) y s) x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
 but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {g : E -> F} {x : E} {s : Set.{u2} E} {y : E} {g' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) y s) x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' s x)
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : E} {x : Set.{u2} E} {s : E} {y : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) s x) f') -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y x f')
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.of_insert HasFDerivWithinAt.of_insertₓ'. -/
 /- warning: has_fderiv_within_at.insert' -> HasFDerivWithinAt.insert' is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {g : E -> F} {x : E} {s : Set.{u2} E} {y : E} {g' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) y s) x)
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {y : E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) y s) x)
 but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {g : E -> F} {x : E} {s : Set.{u2} E} {y : E} {g' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) y s) x)
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : E} {x : Set.{u2} E} {s : E} {y : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y x f') -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) s x) f')
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.insert' HasFDerivWithinAt.insert'ₓ'. -/
 alias hasFDerivWithinAt_insert ↔ HasFDerivWithinAt.of_insert HasFDerivWithinAt.insert'
 #align has_fderiv_within_at.of_insert HasFDerivWithinAt.of_insert
@@ -587,15 +587,20 @@ alias hasFDerivWithinAt_insert ↔ HasFDerivWithinAt.of_insert HasFDerivWithinAt
 
 /- warning: has_fderiv_within_at.insert -> HasFDerivWithinAt.insert is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {g : E -> F} {x : E} {s : Set.{u2} E} {g' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) x s) x)
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) x s) x)
 but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {g : E -> F} {x : E} {s : Set.{u2} E} {g' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) x s) x)
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : E} {x : Set.{u2} E} {s : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x f') -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) f' x) f')
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.insert HasFDerivWithinAt.insertₓ'. -/
-theorem HasFDerivWithinAt.insert {g' : E →L[𝕜] F} (h : HasFDerivWithinAt g g' s x) :
-    HasFDerivWithinAt g g' (insert x s) x :=
+theorem HasFDerivWithinAt.insert (h : HasFDerivWithinAt f f' s x) :
+    HasFDerivWithinAt f f' (insert x s) x :=
   h.insert'
 #align has_fderiv_within_at.insert HasFDerivWithinAt.insert
 
+theorem hasFDerivWithinAt_diff_singleton (y : E) :
+    HasFDerivWithinAt f f' (s \ {y}) x ↔ HasFDerivWithinAt f f' s x := by
+  rw [← hasFDerivWithinAt_insert, insert_diff_singleton, hasFDerivWithinAt_insert]
+#align has_fderiv_within_at_diff_singleton hasFDerivWithinAt_diff_singleton
+
 /- warning: has_strict_fderiv_at.is_O_sub -> HasStrictFDerivAt.isBigO_sub is a dubious translation:
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (Asymptotics.IsBigO.{u2, u3, u2} (Prod.{u2, u2} E E) F E (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (nhds.{u2} (Prod.{u2, u2} E E) (Prod.topologicalSpace.{u2, u2} E E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (Prod.mk.{u2, u2} E E x x)) (fun (p : Prod.{u2, u2} E E) => HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (f (Prod.fst.{u2, u2} E E p)) (f (Prod.snd.{u2, u2} E E p))) (fun (p : Prod.{u2, u2} E E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) (Prod.fst.{u2, u2} E E p) (Prod.snd.{u2, u2} E E p)))
@@ -914,7 +919,7 @@ but is expected to have type
   forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (forall {t : Set.{u2} E}, (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x t)) -> (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
 Case conversion may be inaccurate. Consider using '#align differentiable_within_at.mono_of_mem DifferentiableWithinAt.mono_of_memₓ'. -/
 theorem DifferentiableWithinAt.mono_of_mem (h : DifferentiableWithinAt 𝕜 f s x) {t : Set E}
-    (hst : s ∈ nhdsWithin x t) : DifferentiableWithinAt 𝕜 f t x :=
+    (hst : s ∈ 𝓝[t] x) : DifferentiableWithinAt 𝕜 f t x :=
   (h.HasFDerivWithinAt.mono_of_mem hst).DifferentiableWithinAt
 #align differentiable_within_at.mono_of_mem DifferentiableWithinAt.mono_of_mem
 
@@ -936,8 +941,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align differentiable_within_at_inter differentiableWithinAt_interₓ'. -/
 theorem differentiableWithinAt_inter (ht : t ∈ 𝓝 x) :
     DifferentiableWithinAt 𝕜 f (s ∩ t) x ↔ DifferentiableWithinAt 𝕜 f s x := by
-  simp only [DifferentiableWithinAt, HasFDerivWithinAt, HasFDerivAtFilter,
-    nhdsWithin_restrict' s ht]
+  simp only [DifferentiableWithinAt, hasFDerivWithinAt_inter ht]
 #align differentiable_within_at_inter differentiableWithinAt_inter
 
 /- warning: differentiable_within_at_inter' -> differentiableWithinAt_inter' is a dubious translation:
@@ -948,35 +952,9 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align differentiable_within_at_inter' differentiableWithinAt_inter'ₓ'. -/
 theorem differentiableWithinAt_inter' (ht : t ∈ 𝓝[s] x) :
     DifferentiableWithinAt 𝕜 f (s ∩ t) x ↔ DifferentiableWithinAt 𝕜 f s x := by
-  simp only [DifferentiableWithinAt, HasFDerivWithinAt, HasFDerivAtFilter,
-    nhdsWithin_restrict'' s ht]
+  simp only [DifferentiableWithinAt, hasFDerivWithinAt_inter' ht]
 #align differentiable_within_at_inter' differentiableWithinAt_inter'
 
-/- warning: differentiable_within_at.antimono -> DifferentiableWithinAt.antimono is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) s t) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x t)) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) s t) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x t)) -> (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x)
-Case conversion may be inaccurate. Consider using '#align differentiable_within_at.antimono DifferentiableWithinAt.antimonoₓ'. -/
-theorem DifferentiableWithinAt.antimono (h : DifferentiableWithinAt 𝕜 f s x) (hst : s ⊆ t)
-    (hx : s ∈ 𝓝[t] x) : DifferentiableWithinAt 𝕜 f t x := by
-  rwa [← differentiableWithinAt_inter' hx, inter_eq_self_of_subset_right hst]
-#align differentiable_within_at.antimono DifferentiableWithinAt.antimono
-
-/- warning: has_fderiv_within_at.antimono -> HasFDerivWithinAt.antimono is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) s t) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x t)) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) s t) -> (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x t)) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x)
-Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.antimono HasFDerivWithinAt.antimonoₓ'. -/
-theorem HasFDerivWithinAt.antimono (h : HasFDerivWithinAt f f' s x) (hst : s ⊆ t)
-    (hs : UniqueDiffWithinAt 𝕜 s x) (hx : s ∈ 𝓝[t] x) : HasFDerivWithinAt f f' t x :=
-  by
-  have h' : HasFDerivWithinAt f _ t x :=
-    (h.differentiable_within_at.antimono hst hx).HasFDerivWithinAt
-  rwa [hs.eq h (h'.mono hst)]
-#align has_fderiv_within_at.antimono HasFDerivWithinAt.antimono
-
 /- warning: differentiable_at.differentiable_within_at -> DifferentiableAt.differentiableWithinAt is a dubious translation:
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x)
@@ -1054,6 +1032,11 @@ theorem differentiableOn_of_locally_differentiableOn
   exact (differentiableWithinAt_inter (IsOpen.mem_nhds t_open xt)).1 (ht x ⟨xs, xt⟩)
 #align differentiable_on_of_locally_differentiable_on differentiableOn_of_locally_differentiableOn
 
+theorem fderivWithin_of_mem (st : t ∈ 𝓝[s] x) (ht : UniqueDiffWithinAt 𝕜 s x)
+    (h : DifferentiableWithinAt 𝕜 f t x) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
+  ((DifferentiableWithinAt.hasFDerivWithinAt h).mono_of_mem st).fderivWithin ht
+#align fderiv_within_of_mem fderivWithin_of_mem
+
 /- warning: fderiv_within_subset -> fderivWithin_subset is a dubious translation:
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) s t) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
@@ -1062,53 +1045,17 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align fderiv_within_subset fderivWithin_subsetₓ'. -/
 theorem fderivWithin_subset (st : s ⊆ t) (ht : UniqueDiffWithinAt 𝕜 s x)
     (h : DifferentiableWithinAt 𝕜 f t x) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
-  ((DifferentiableWithinAt.hasFDerivWithinAt h).mono st).fderivWithin ht
+  fderivWithin_of_mem (nhdsWithin_mono _ st self_mem_nhdsWithin) ht h
 #align fderiv_within_subset fderivWithin_subset
 
-/- warning: fderiv_within_subset' -> fderivWithin_subset' is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) s t) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x t)) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
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-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) s t) -> (UniqueDiffWithinAt.{u2, u3} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) s x) -> (Membership.mem.{u3, u3} (Set.{u3} E) (Filter.{u3} E) (instMembershipSetFilter.{u3} E) s (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x t)) -> (DifferentiableWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (Eq.{max (succ u3) (succ u1)} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderivWithin.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
-Case conversion may be inaccurate. Consider using '#align fderiv_within_subset' fderivWithin_subset'ₓ'. -/
-theorem fderivWithin_subset' (st : s ⊆ t) (ht : UniqueDiffWithinAt 𝕜 s x) (hx : s ∈ 𝓝[t] x)
-    (h : DifferentiableWithinAt 𝕜 f s x) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
-  fderivWithin_subset st ht (h.antimono st hx)
-#align fderiv_within_subset' fderivWithin_subset'
-
-/- warning: fderiv_within_univ -> fderivWithin_univ is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F}, Eq.{max (succ u2) (succ u3)} (E -> (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Set.univ.{u2} E)) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F}, Eq.{max (succ u3) (succ u2)} (E -> (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Set.univ.{u3} E)) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)
-Case conversion may be inaccurate. Consider using '#align fderiv_within_univ fderivWithin_univₓ'. -/
-@[simp]
-theorem fderivWithin_univ : fderivWithin 𝕜 f univ = fderiv 𝕜 f :=
-  by
-  ext x : 1
-  by_cases h : DifferentiableAt 𝕜 f x
-  · apply HasFDerivWithinAt.fderivWithin _ uniqueDiffWithinAt_univ
-    rw [hasFDerivWithinAt_univ]
-    apply h.has_fderiv_at
-  · have : ¬DifferentiableWithinAt 𝕜 f univ x := by rwa [differentiableWithinAt_univ]
-    rw [fderiv_zero_of_not_differentiableAt h, fderivWithin_zero_of_not_differentiableWithinAt this]
-#align fderiv_within_univ fderivWithin_univ
-
 /- warning: fderiv_within_inter -> fderivWithin_inter is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) t (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u2} (Set.{u2} E) (Set.hasInter.{u2} E) s t) x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) t (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u2} (Set.{u2} E) (Set.hasInter.{u2} E) s t) x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 but is expected to have type
   forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Membership.mem.{u3, u3} (Set.{u3} E) (Filter.{u3} E) (instMembershipSetFilter.{u3} E) t (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x)) -> (UniqueDiffWithinAt.{u2, u3} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) s x) -> (Eq.{max (succ u3) (succ u1)} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u3} (Set.{u3} E) (Set.instInterSet.{u3} E) s t) x) (fderivWithin.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 Case conversion may be inaccurate. Consider using '#align fderiv_within_inter fderivWithin_interₓ'. -/
-theorem fderivWithin_inter (ht : t ∈ 𝓝 x) (hs : UniqueDiffWithinAt 𝕜 s x) :
-    fderivWithin 𝕜 f (s ∩ t) x = fderivWithin 𝕜 f s x :=
-  by
-  by_cases h : DifferentiableWithinAt 𝕜 f (s ∩ t) x
-  · apply fderivWithin_subset (inter_subset_left _ _) _ ((differentiableWithinAt_inter ht).1 h)
-    apply hs.inter ht
-  · have : ¬DifferentiableWithinAt 𝕜 f s x := by rwa [← differentiableWithinAt_inter ht]
-    rw [fderivWithin_zero_of_not_differentiableWithinAt h,
-      fderivWithin_zero_of_not_differentiableWithinAt this]
+theorem fderivWithin_inter (ht : t ∈ 𝓝 x) : fderivWithin 𝕜 f (s ∩ t) x = fderivWithin 𝕜 f s x := by
+  simp only [fderivWithin, hasFDerivWithinAt_inter ht]
 #align fderiv_within_inter fderivWithin_inter
 
 /- warning: fderiv_within_of_mem_nhds -> fderivWithin_of_mem_nhds is a dubious translation:
@@ -1117,13 +1064,21 @@ lean 3 declaration is
 but is expected to have type
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E}, (Membership.mem.{u3, u3} (Set.{u3} E) (Filter.{u3} E) (instMembershipSetFilter.{u3} E) s (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x)) -> (Eq.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
 Case conversion may be inaccurate. Consider using '#align fderiv_within_of_mem_nhds fderivWithin_of_mem_nhdsₓ'. -/
-theorem fderivWithin_of_mem_nhds (h : s ∈ 𝓝 x) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
-  by
-  have : s = univ ∩ s := by simp only [univ_inter]
-  rw [this, ← fderivWithin_univ]
-  exact fderivWithin_inter h (uniqueDiffOn_univ _ (mem_univ _))
+theorem fderivWithin_of_mem_nhds (h : s ∈ 𝓝 x) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x := by
+  simp only [fderiv, fderivWithin, HasFDerivAt, HasFDerivWithinAt, nhdsWithin_eq_nhds.2 h]
 #align fderiv_within_of_mem_nhds fderivWithin_of_mem_nhds
 
+/- warning: fderiv_within_univ -> fderivWithin_univ is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F}, Eq.{max (succ u2) (succ u3)} (E -> (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Set.univ.{u2} E)) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F}, Eq.{max (succ u3) (succ u2)} (E -> (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Set.univ.{u3} E)) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)
+Case conversion may be inaccurate. Consider using '#align fderiv_within_univ fderivWithin_univₓ'. -/
+@[simp]
+theorem fderivWithin_univ : fderivWithin 𝕜 f univ = fderiv 𝕜 f :=
+  funext fun _ => fderivWithin_of_mem_nhds univ_mem
+#align fderiv_within_univ fderivWithin_univ
+
 /- warning: fderiv_within_of_open -> fderivWithin_of_open is a dubious translation:
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (IsOpen.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
@@ -1131,7 +1086,7 @@ but is expected to have type
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E}, (IsOpen.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) s) -> (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x s) -> (Eq.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
 Case conversion may be inaccurate. Consider using '#align fderiv_within_of_open fderivWithin_of_openₓ'. -/
 theorem fderivWithin_of_open (hs : IsOpen s) (hx : x ∈ s) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
-  fderivWithin_of_mem_nhds (IsOpen.mem_nhds hs hx)
+  fderivWithin_of_mem_nhds (hs.mem_nhds hx)
 #align fderiv_within_of_open fderivWithin_of_open
 
 /- warning: fderiv_within_eq_fderiv -> fderivWithin_eq_fderiv is a dubious translation:
@@ -1355,6 +1310,54 @@ section congr
 /-! ### congr properties of the derivative -/
 
 
+theorem hasFDerivWithinAt_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
+    HasFDerivWithinAt f f' s x ↔ HasFDerivWithinAt f f' t x :=
+  calc
+    HasFDerivWithinAt f f' s x ↔ HasFDerivWithinAt f f' (s \ {y}) x :=
+      (hasFDerivWithinAt_diff_singleton _).symm
+    _ ↔ HasFDerivWithinAt f f' (t \ {y}) x :=
+      by
+      suffices 𝓝[s \ {y}] x = 𝓝[t \ {y}] x by simp only [HasFDerivWithinAt, this]
+      simpa only [set_eventually_eq_iff_inf_principal, ← nhdsWithin_inter', diff_eq,
+        inter_comm] using h
+    _ ↔ HasFDerivWithinAt f f' t x := hasFDerivWithinAt_diff_singleton _
+    
+#align has_fderiv_within_at_congr_set' hasFDerivWithinAt_congr_set'
+
+theorem hasFDerivWithinAt_congr_set (h : s =ᶠ[𝓝 x] t) :
+    HasFDerivWithinAt f f' s x ↔ HasFDerivWithinAt f f' t x :=
+  hasFDerivWithinAt_congr_set' x <| h.filter_mono inf_le_left
+#align has_fderiv_within_at_congr_set hasFDerivWithinAt_congr_set
+
+theorem differentiableWithinAt_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
+    DifferentiableWithinAt 𝕜 f s x ↔ DifferentiableWithinAt 𝕜 f t x :=
+  exists_congr fun _ => hasFDerivWithinAt_congr_set' _ h
+#align differentiable_within_at_congr_set' differentiableWithinAt_congr_set'
+
+theorem differentiableWithinAt_congr_set (h : s =ᶠ[𝓝 x] t) :
+    DifferentiableWithinAt 𝕜 f s x ↔ DifferentiableWithinAt 𝕜 f t x :=
+  exists_congr fun _ => hasFDerivWithinAt_congr_set h
+#align differentiable_within_at_congr_set differentiableWithinAt_congr_set
+
+theorem fderivWithin_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
+    fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x := by
+  simp only [fderivWithin, hasFDerivWithinAt_congr_set' y h]
+#align fderiv_within_congr_set' fderivWithin_congr_set'
+
+theorem fderivWithin_congr_set (h : s =ᶠ[𝓝 x] t) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
+  fderivWithin_congr_set' x <| h.filter_mono inf_le_left
+#align fderiv_within_congr_set fderivWithin_congr_set
+
+theorem fderivWithin_eventually_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
+    fderivWithin 𝕜 f s =ᶠ[𝓝 x] fderivWithin 𝕜 f t :=
+  (eventually_nhds_nhdsWithin.2 h).mono fun _ => fderivWithin_congr_set' y
+#align fderiv_within_eventually_congr_set' fderivWithin_eventually_congr_set'
+
+theorem fderivWithin_eventually_congr_set (h : s =ᶠ[𝓝 x] t) :
+    fderivWithin 𝕜 f s =ᶠ[𝓝 x] fderivWithin 𝕜 f t :=
+  fderivWithin_eventually_congr_set' x <| h.filter_mono inf_le_left
+#align fderiv_within_eventually_congr_set fderivWithin_eventually_congr_set
+
 /- warning: filter.eventually_eq.has_strict_fderiv_at_iff -> Filter.EventuallyEq.hasStrictFDerivAt_iff is a dubious translation:
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {f₀' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (Filter.EventuallyEq.{u2, u3} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₀ f₁) -> (forall (y : E), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f₀' y) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f₁' y)) -> (Iff (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ f₀' x) (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f₁' x))
@@ -1471,35 +1474,35 @@ theorem Filter.EventuallyEq.differentiableWithinAt_iff_of_mem (h : f₀ =ᶠ[
 
 /- warning: has_fderiv_within_at.congr_mono -> HasFDerivWithinAt.congr_mono is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x t) -> (Eq.{succ u3} F (f₁ x) (f x))) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) t s) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' t x)
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Set.EqOn.{u2, u3} E F f₁ f t) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) t s) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' t x)
 but is expected to have type
   forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x t) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) t s) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' t x)
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.congr_mono HasFDerivWithinAt.congr_monoₓ'. -/
-theorem HasFDerivWithinAt.congr_mono (h : HasFDerivWithinAt f f' s x) (ht : ∀ x ∈ t, f₁ x = f x)
+theorem HasFDerivWithinAt.congr_mono (h : HasFDerivWithinAt f f' s x) (ht : EqOn f₁ f t)
     (hx : f₁ x = f x) (h₁ : t ⊆ s) : HasFDerivWithinAt f₁ f' t x :=
   HasFDerivAtFilter.congr_of_eventuallyEq (h.mono h₁) (Filter.mem_inf_of_right ht) hx
 #align has_fderiv_within_at.congr_mono HasFDerivWithinAt.congr_mono
 
 /- warning: has_fderiv_within_at.congr -> HasFDerivWithinAt.congr is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Eq.{succ u3} F (f₁ x) (f x))) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Set.EqOn.{u2, u3} E F f₁ f s) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
 but is expected to have type
   forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.congr HasFDerivWithinAt.congrₓ'. -/
-theorem HasFDerivWithinAt.congr (h : HasFDerivWithinAt f f' s x) (hs : ∀ x ∈ s, f₁ x = f x)
+theorem HasFDerivWithinAt.congr (h : HasFDerivWithinAt f f' s x) (hs : EqOn f₁ f s)
     (hx : f₁ x = f x) : HasFDerivWithinAt f₁ f' s x :=
   h.congr_mono hs hx (Subset.refl _)
 #align has_fderiv_within_at.congr HasFDerivWithinAt.congr
 
 /- warning: has_fderiv_within_at.congr' -> HasFDerivWithinAt.congr' is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Eq.{succ u3} F (f₁ x) (f x))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Set.EqOn.{u2, u3} E F f₁ f s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
 but is expected to have type
   forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
 Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.congr' HasFDerivWithinAt.congr'ₓ'. -/
-theorem HasFDerivWithinAt.congr' (h : HasFDerivWithinAt f f' s x) (hs : ∀ x ∈ s, f₁ x = f x)
-    (hx : x ∈ s) : HasFDerivWithinAt f₁ f' s x :=
-  h.congr hs (hs x hx)
+theorem HasFDerivWithinAt.congr' (h : HasFDerivWithinAt f f' s x) (hs : EqOn f₁ f s) (hx : x ∈ s) :
+    HasFDerivWithinAt f₁ f' s x :=
+  h.congr hs (hs hx)
 #align has_fderiv_within_at.congr' HasFDerivWithinAt.congr'
 
 /- warning: has_fderiv_within_at.congr_of_eventually_eq -> HasFDerivWithinAt.congr_of_eventuallyEq is a dubious translation:
@@ -1526,13 +1529,13 @@ theorem HasFDerivAt.congr_of_eventuallyEq (h : HasFDerivAt f f' x) (h₁ : f₁
 
 /- warning: differentiable_within_at.congr_mono -> DifferentiableWithinAt.congr_mono is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x t) -> (Eq.{succ u3} F (f₁ x) (f x))) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) t s) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t x)
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (Set.EqOn.{u2, u3} E F f₁ f t) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) t s) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t x)
 but is expected to have type
   forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x t) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) t s) -> (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t x)
 Case conversion may be inaccurate. Consider using '#align differentiable_within_at.congr_mono DifferentiableWithinAt.congr_monoₓ'. -/
-theorem DifferentiableWithinAt.congr_mono (h : DifferentiableWithinAt 𝕜 f s x)
-    (ht : ∀ x ∈ t, f₁ x = f x) (hx : f₁ x = f x) (h₁ : t ⊆ s) : DifferentiableWithinAt 𝕜 f₁ t x :=
-  (HasFDerivWithinAt.congr_mono h.HasFDerivWithinAt ht hx h₁).DifferentiableWithinAt
+theorem DifferentiableWithinAt.congr_mono (h : DifferentiableWithinAt 𝕜 f s x) (ht : EqOn f₁ f t)
+    (hx : f₁ x = f x) (h₁ : t ⊆ s) : DifferentiableWithinAt 𝕜 f₁ t x :=
+  (h.HasFDerivWithinAt.congr_mono ht hx h₁).DifferentiableWithinAt
 #align differentiable_within_at.congr_mono DifferentiableWithinAt.congr_mono
 
 /- warning: differentiable_within_at.congr -> DifferentiableWithinAt.congr is a dubious translation:
@@ -1602,68 +1605,71 @@ theorem DifferentiableAt.congr_of_eventuallyEq (h : DifferentiableAt 𝕜 f x) (
 
 /- warning: differentiable_within_at.fderiv_within_congr_mono -> DifferentiableWithinAt.fderivWithin_congr_mono is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x t) -> (Eq.{succ u3} F (f₁ x) (f x))) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) t x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) t s) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (Set.EqOn.{u2, u3} E F f₁ f t) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) t x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) t s) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 but is expected to have type
   forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x t) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) t x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) t s) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t x) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 Case conversion may be inaccurate. Consider using '#align differentiable_within_at.fderiv_within_congr_mono DifferentiableWithinAt.fderivWithin_congr_monoₓ'. -/
 theorem DifferentiableWithinAt.fderivWithin_congr_mono (h : DifferentiableWithinAt 𝕜 f s x)
-    (hs : ∀ x ∈ t, f₁ x = f x) (hx : f₁ x = f x) (hxt : UniqueDiffWithinAt 𝕜 t x) (h₁ : t ⊆ s) :
+    (hs : EqOn f₁ f t) (hx : f₁ x = f x) (hxt : UniqueDiffWithinAt 𝕜 t x) (h₁ : t ⊆ s) :
     fderivWithin 𝕜 f₁ t x = fderivWithin 𝕜 f s x :=
   (HasFDerivWithinAt.congr_mono h.HasFDerivWithinAt hs hx h₁).fderivWithin hxt
 #align differentiable_within_at.fderiv_within_congr_mono DifferentiableWithinAt.fderivWithin_congr_mono
 
 /- warning: filter.eventually_eq.fderiv_within_eq -> Filter.EventuallyEq.fderivWithin_eq is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Filter.EventuallyEq.{u2, u3} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (Filter.EventuallyEq.{u2, u3} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 but is expected to have type
   forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Filter.EventuallyEq.{u2, u1} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_within_eq Filter.EventuallyEq.fderivWithin_eqₓ'. -/
-theorem Filter.EventuallyEq.fderivWithin_eq (hs : UniqueDiffWithinAt 𝕜 s x) (hL : f₁ =ᶠ[𝓝[s] x] f)
-    (hx : f₁ x = f x) : fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
-  if h : DifferentiableWithinAt 𝕜 f s x then
-    HasFDerivWithinAt.fderivWithin (h.HasFDerivWithinAt.congr_of_eventuallyEq hL hx) hs
-  else
-    by
-    have h' : ¬DifferentiableWithinAt 𝕜 f₁ s x :=
-      mt (fun h => h.congr_of_eventuallyEq (hL.mono fun x => Eq.symm) hx.symm) h
-    rw [fderivWithin_zero_of_not_differentiableWithinAt h,
-      fderivWithin_zero_of_not_differentiableWithinAt h']
+theorem Filter.EventuallyEq.fderivWithin_eq (hs : f₁ =ᶠ[𝓝[s] x] f) (hx : f₁ x = f x) :
+    fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x := by
+  simp only [fderivWithin, hs.has_fderiv_within_at_iff hx]
 #align filter.eventually_eq.fderiv_within_eq Filter.EventuallyEq.fderivWithin_eq
 
+theorem Filter.EventuallyEq.fderiv_within' (hs : f₁ =ᶠ[𝓝[s] x] f) (ht : t ⊆ s) :
+    fderivWithin 𝕜 f₁ t =ᶠ[𝓝[s] x] fderivWithin 𝕜 f t :=
+  (eventually_nhdsWithin_nhdsWithin.2 hs).mp <|
+    eventually_mem_nhdsWithin.mono fun y hys hs =>
+      Filter.EventuallyEq.fderivWithin_eq (hs.filter_mono <| nhdsWithin_mono _ ht)
+        (hs.self_of_nhdsWithin hys)
+#align filter.eventually_eq.fderiv_within' Filter.EventuallyEq.fderiv_within'
+
+protected theorem Filter.EventuallyEq.fderivWithin (hs : f₁ =ᶠ[𝓝[s] x] f) :
+    fderivWithin 𝕜 f₁ s =ᶠ[𝓝[s] x] fderivWithin 𝕜 f s :=
+  hs.fderiv_within' Subset.rfl
+#align filter.eventually_eq.fderiv_within Filter.EventuallyEq.fderivWithin
+
 /- warning: filter.eventually_eq.fderiv_within_eq_nhds -> Filter.EventuallyEq.fderivWithin_eq_nhds is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Filter.EventuallyEq.{u2, u3} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₁ f) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (Filter.EventuallyEq.{u2, u3} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₁ f) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 but is expected to have type
   forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Filter.EventuallyEq.{u2, u1} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₁ f) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_within_eq_nhds Filter.EventuallyEq.fderivWithin_eq_nhdsₓ'. -/
-theorem Filter.EventuallyEq.fderivWithin_eq_nhds (hs : UniqueDiffWithinAt 𝕜 s x)
-    (hL : f₁ =ᶠ[𝓝 x] f) : fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
-  (show f₁ =ᶠ[𝓝[s] x] f from nhdsWithin_le_nhds hL).fderivWithin_eq hs (mem_of_mem_nhds hL : _)
+theorem Filter.EventuallyEq.fderivWithin_eq_nhds (h : f₁ =ᶠ[𝓝 x] f) :
+    fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
+  (h.filter_mono nhdsWithin_le_nhds).fderivWithin_eq h.self_of_nhds
 #align filter.eventually_eq.fderiv_within_eq_nhds Filter.EventuallyEq.fderivWithin_eq_nhds
 
 /- warning: fderiv_within_congr -> fderivWithin_congr is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (forall (y : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (Eq.{succ u3} F (f₁ y) (f y))) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (Set.EqOn.{u2, u3} E F f₁ f s) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 but is expected to have type
   forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (forall (y : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) -> (Eq.{succ u1} F (f₁ y) (f y))) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 Case conversion may be inaccurate. Consider using '#align fderiv_within_congr fderivWithin_congrₓ'. -/
-theorem fderivWithin_congr (hs : UniqueDiffWithinAt 𝕜 s x) (hL : ∀ y ∈ s, f₁ y = f y)
-    (hx : f₁ x = f x) : fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
-  by
-  apply Filter.EventuallyEq.fderivWithin_eq hs _ hx
-  apply mem_of_superset self_mem_nhdsWithin
-  exact hL
+theorem fderivWithin_congr (hs : EqOn f₁ f s) (hx : f₁ x = f x) :
+    fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
+  (hs.EventuallyEq.filter_mono inf_le_right).fderivWithin_eq hx
 #align fderiv_within_congr fderivWithin_congr
 
 /- warning: fderiv_within_congr' -> fderivWithin_congr' is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (forall (y : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (Eq.{succ u3} F (f₁ y) (f y))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (Set.EqOn.{u2, u3} E F f₁ f s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 but is expected to have type
   forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (forall (y : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) -> (Eq.{succ u1} F (f₁ y) (f y))) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
 Case conversion may be inaccurate. Consider using '#align fderiv_within_congr' fderivWithin_congr'ₓ'. -/
-theorem fderivWithin_congr' (hs : UniqueDiffWithinAt 𝕜 s x) (hL : ∀ y ∈ s, f₁ y = f y)
-    (hx : x ∈ s) : fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
-  fderivWithin_congr hs hL (hL x hx)
+theorem fderivWithin_congr' (hs : EqOn f₁ f s) (hx : x ∈ s) :
+    fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
+  fderivWithin_congr hs (hs hx)
 #align fderiv_within_congr' fderivWithin_congr'
 
 /- warning: filter.eventually_eq.fderiv_eq -> Filter.EventuallyEq.fderiv_eq is a dubious translation:
@@ -1672,12 +1678,8 @@ lean 3 declaration is
 but is expected to have type
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E}, (Filter.EventuallyEq.{u3, u2} E F (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) f₁ f) -> (Eq.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ x) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
 Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_eq Filter.EventuallyEq.fderiv_eqₓ'. -/
-theorem Filter.EventuallyEq.fderiv_eq (hL : f₁ =ᶠ[𝓝 x] f) : fderiv 𝕜 f₁ x = fderiv 𝕜 f x :=
-  by
-  have A : f₁ x = f x := hL.eq_of_nhds
-  rw [← fderivWithin_univ, ← fderivWithin_univ]
-  rw [← nhdsWithin_univ] at hL
-  exact hL.fderiv_within_eq uniqueDiffWithinAt_univ A
+theorem Filter.EventuallyEq.fderiv_eq (h : f₁ =ᶠ[𝓝 x] f) : fderiv 𝕜 f₁ x = fderiv 𝕜 f x := by
+  rw [← fderivWithin_univ, ← fderivWithin_univ, h.fderiv_within_eq_nhds]
 #align filter.eventually_eq.fderiv_eq Filter.EventuallyEq.fderiv_eq
 
 /- warning: filter.eventually_eq.fderiv -> Filter.EventuallyEq.fderiv is a dubious translation:
@@ -2044,12 +2046,14 @@ Case conversion may be inaccurate. Consider using '#align support_fderiv_subset
 theorem support_fderiv_subset : support (fderiv 𝕜 f) ⊆ tsupport f :=
   by
   intro x
-  rw [← not_imp_not]
-  intro h2x
-  rw [not_mem_tsupport_iff_eventuallyEq] at h2x
-  exact nmem_support.mpr (h2x.fderiv_eq.trans <| fderiv_const_apply 0)
+  rw [← not_imp_not, not_mem_tsupport_iff_eventuallyEq, nmem_support]
+  exact fun hx => hx.fderiv_eq.trans <| fderiv_const_apply 0
 #align support_fderiv_subset support_fderiv_subset
 
+theorem tsupport_fderiv_subset : tsupport (fderiv 𝕜 f) ⊆ tsupport f :=
+  closure_minimal (support_fderiv_subset 𝕜) isClosed_closure
+#align tsupport_fderiv_subset tsupport_fderiv_subset
+
 /- warning: has_compact_support.fderiv -> HasCompactSupport.fderiv is a dubious translation:
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F}, (HasCompactSupport.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4)))))) f) -> (HasCompactSupport.{u2, max u2 u3} E (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))

4280f5f3

bump to nightly-2023-05-23-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828

ed98987c

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
 
 ! This file was ported from Lean 3 source module analysis.calculus.fderiv.basic
-! leanprover-community/mathlib commit e3fb84046afd187b710170887195d50bada934ee
+! leanprover-community/mathlib commit 4280f5f32e16755ec7985ce11e189b6cd6ff6735
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.Analysis.NormedSpace.BoundedLinearMaps
 /-!
 # The Fréchet derivative
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Let `E` and `F` be normed spaces, `f : E → F`, and `f' : E →L[𝕜] F` a
 continuous 𝕜-linear map, where `𝕜` is a non-discrete normed field. Then

bump to nightly-2023-05-22-01

mathlib commit https://github.com/leanprover-community/mathlib/commit/33c67ae661dd8988516ff7f247b0be3018cdd952

a4206c98

Diff

@@ -138,70 +138,90 @@ variable {G : Type _} [NormedAddCommGroup G] [NormedSpace 𝕜 G]
 
 variable {G' : Type _} [NormedAddCommGroup G'] [NormedSpace 𝕜 G']
 
+#print HasFDerivAtFilter /-
 /-- A function `f` has the continuous linear map `f'` as derivative along the filter `L` if
 `f x' = f x + f' (x' - x) + o (x' - x)` when `x'` converges along the filter `L`. This definition
 is designed to be specialized for `L = 𝓝 x` (in `has_fderiv_at`), giving rise to the usual notion
 of Fréchet derivative, and for `L = 𝓝[s] x` (in `has_fderiv_within_at`), giving rise to
 the notion of Fréchet derivative along the set `s`. -/
-def HasFderivAtFilter (f : E → F) (f' : E →L[𝕜] F) (x : E) (L : Filter E) :=
+def HasFDerivAtFilter (f : E → F) (f' : E →L[𝕜] F) (x : E) (L : Filter E) :=
   (fun x' => f x' - f x - f' (x' - x)) =o[L] fun x' => x' - x
-#align has_fderiv_at_filter HasFderivAtFilter
+#align has_fderiv_at_filter HasFDerivAtFilter
+-/
 
+#print HasFDerivWithinAt /-
 /-- A function `f` has the continuous linear map `f'` as derivative at `x` within a set `s` if
 `f x' = f x + f' (x' - x) + o (x' - x)` when `x'` tends to `x` inside `s`. -/
-def HasFderivWithinAt (f : E → F) (f' : E →L[𝕜] F) (s : Set E) (x : E) :=
-  HasFderivAtFilter f f' x (𝓝[s] x)
-#align has_fderiv_within_at HasFderivWithinAt
+def HasFDerivWithinAt (f : E → F) (f' : E →L[𝕜] F) (s : Set E) (x : E) :=
+  HasFDerivAtFilter f f' x (𝓝[s] x)
+#align has_fderiv_within_at HasFDerivWithinAt
+-/
 
+#print HasFDerivAt /-
 /-- A function `f` has the continuous linear map `f'` as derivative at `x` if
 `f x' = f x + f' (x' - x) + o (x' - x)` when `x'` tends to `x`. -/
-def HasFderivAt (f : E → F) (f' : E →L[𝕜] F) (x : E) :=
-  HasFderivAtFilter f f' x (𝓝 x)
-#align has_fderiv_at HasFderivAt
+def HasFDerivAt (f : E → F) (f' : E →L[𝕜] F) (x : E) :=
+  HasFDerivAtFilter f f' x (𝓝 x)
+#align has_fderiv_at HasFDerivAt
+-/
 
+#print HasStrictFDerivAt /-
 /-- A function `f` has derivative `f'` at `a` in the sense of *strict differentiability*
 if `f x - f y - f' (x - y) = o(x - y)` as `x, y → a`. This form of differentiability is required,
 e.g., by the inverse function theorem. Any `C^1` function on a vector space over `ℝ` is strictly
 differentiable but this definition works, e.g., for vector spaces over `p`-adic numbers. -/
-def HasStrictFderivAt (f : E → F) (f' : E →L[𝕜] F) (x : E) :=
+def HasStrictFDerivAt (f : E → F) (f' : E →L[𝕜] F) (x : E) :=
   (fun p : E × E => f p.1 - f p.2 - f' (p.1 - p.2)) =o[𝓝 (x, x)] fun p : E × E => p.1 - p.2
-#align has_strict_fderiv_at HasStrictFderivAt
+#align has_strict_fderiv_at HasStrictFDerivAt
+-/
 
 variable (𝕜)
 
+#print DifferentiableWithinAt /-
 /-- A function `f` is differentiable at a point `x` within a set `s` if it admits a derivative
 there (possibly non-unique). -/
 def DifferentiableWithinAt (f : E → F) (s : Set E) (x : E) :=
-  ∃ f' : E →L[𝕜] F, HasFderivWithinAt f f' s x
+  ∃ f' : E →L[𝕜] F, HasFDerivWithinAt f f' s x
 #align differentiable_within_at DifferentiableWithinAt
+-/
 
+#print DifferentiableAt /-
 /-- A function `f` is differentiable at a point `x` if it admits a derivative there (possibly
 non-unique). -/
 def DifferentiableAt (f : E → F) (x : E) :=
-  ∃ f' : E →L[𝕜] F, HasFderivAt f f' x
+  ∃ f' : E →L[𝕜] F, HasFDerivAt f f' x
 #align differentiable_at DifferentiableAt
+-/
 
+#print fderivWithin /-
 /-- If `f` has a derivative at `x` within `s`, then `fderiv_within 𝕜 f s x` is such a derivative.
 Otherwise, it is set to `0`. -/
 def fderivWithin (f : E → F) (s : Set E) (x : E) : E →L[𝕜] F :=
-  if h : ∃ f', HasFderivWithinAt f f' s x then Classical.choose h else 0
+  if h : ∃ f', HasFDerivWithinAt f f' s x then Classical.choose h else 0
 #align fderiv_within fderivWithin
+-/
 
+#print fderiv /-
 /-- If `f` has a derivative at `x`, then `fderiv 𝕜 f x` is such a derivative. Otherwise, it is
 set to `0`. -/
 def fderiv (f : E → F) (x : E) : E →L[𝕜] F :=
-  if h : ∃ f', HasFderivAt f f' x then Classical.choose h else 0
+  if h : ∃ f', HasFDerivAt f f' x then Classical.choose h else 0
 #align fderiv fderiv
+-/
 
+#print DifferentiableOn /-
 /-- `differentiable_on 𝕜 f s` means that `f` is differentiable within `s` at any point of `s`. -/
 def DifferentiableOn (f : E → F) (s : Set E) :=
   ∀ x ∈ s, DifferentiableWithinAt 𝕜 f s x
 #align differentiable_on DifferentiableOn
+-/
 
+#print Differentiable /-
 /-- `differentiable 𝕜 f` means that `f` is differentiable at any point. -/
 def Differentiable (f : E → F) :=
   ∀ x, DifferentiableAt 𝕜 f x
 #align differentiable Differentiable
+-/
 
 variable {𝕜}
 
@@ -217,21 +237,39 @@ variable {s t : Set E}
 
 variable {L L₁ L₂ : Filter E}
 
+/- warning: fderiv_within_zero_of_not_differentiable_within_at -> fderivWithin_zero_of_not_differentiableWithinAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (Not (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (Not (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x)) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_zero_of_not_differentiable_within_at fderivWithin_zero_of_not_differentiableWithinAtₓ'. -/
 theorem fderivWithin_zero_of_not_differentiableWithinAt (h : ¬DifferentiableWithinAt 𝕜 f s x) :
     fderivWithin 𝕜 f s x = 0 :=
   by
-  have : ¬∃ f', HasFderivWithinAt f f' s x := h
+  have : ¬∃ f', HasFDerivWithinAt f f' s x := h
   simp [fderivWithin, this]
 #align fderiv_within_zero_of_not_differentiable_within_at fderivWithin_zero_of_not_differentiableWithinAt
 
+/- warning: fderiv_zero_of_not_differentiable_at -> fderiv_zero_of_not_differentiableAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E}, (Not (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (OfNat.mk.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E}, (Not (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderiv.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) (OfNat.ofNat.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))))
+Case conversion may be inaccurate. Consider using '#align fderiv_zero_of_not_differentiable_at fderiv_zero_of_not_differentiableAtₓ'. -/
 theorem fderiv_zero_of_not_differentiableAt (h : ¬DifferentiableAt 𝕜 f x) : fderiv 𝕜 f x = 0 :=
   by
-  have : ¬∃ f', HasFderivAt f f' x := h
+  have : ¬∃ f', HasFDerivAt f f' x := h
   simp [fderiv, this]
 #align fderiv_zero_of_not_differentiable_at fderiv_zero_of_not_differentiableAt
 
 section DerivativeUniqueness
 
+/- warning: has_fderiv_within_at.lim -> HasFDerivWithinAt.lim is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (forall {α : Type.{u4}} (l : Filter.{u4} α) {c : α -> 𝕜} {d : α -> E} {v : E}, (Filter.Eventually.{u4} α (fun (n : α) => Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))) x (d n)) s) l) -> (Filter.Tendsto.{u4, 0} α Real (fun (n : α) => Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)) (c n)) l (Filter.atTop.{0} Real Real.preorder)) -> (Filter.Tendsto.{u4, u2} α E (fun (n : α) => SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (c n) (d n)) l (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) v)) -> (Filter.Tendsto.{u4, u3} α F (fun (n : α) => SMul.smul.{u1, u3} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F 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(ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f' v))))
+but is expected to have type
+  forall {𝕜 : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u4, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)} {x : E} {s : Set.{u3} E}, (HasFDerivWithinAt.{u4, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (forall {α : Type.{u1}} (l : Filter.{u1} α) {c : α -> 𝕜} {d : α -> E} {v : E}, (Filter.Eventually.{u1} α (fun (n : α) => Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) (HAdd.hAdd.{u3, u3, u3} E E E (instHAdd.{u3} E (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (NormedAddGroup.toAddGroup.{u3} E (NormedAddCommGroup.toNormedAddGroup.{u3} E _inst_2))))))) x (d n)) s) l) -> (Filter.Tendsto.{u1, 0} α Real (fun (n : α) => Norm.norm.{u4} 𝕜 (NormedField.toNorm.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1)) (c n)) l (Filter.atTop.{0} Real Real.instPreorderReal)) -> (Filter.Tendsto.{u1, u3} α E (fun (n : α) => HSMul.hSMul.{u4, u3, u3} 𝕜 E E (instHSMul.{u4, u3} 𝕜 E (SMulZeroClass.toSMul.{u4, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜 E (CommMonoidWithZero.toZero.{u4} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜 (Semifield.toCommGroupWithZero.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))))) (Module.toMulActionWithZero.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)))))) (c n) (d n)) l (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) v)) -> (Filter.Tendsto.{u1, u2} α F (fun (n : α) => HSMul.hSMul.{u4, u2, u2} 𝕜 F F (instHSMul.{u4, u2} 𝕜 F (SMulZeroClass.toSMul.{u4, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 F (CommMonoidWithZero.toZero.{u4} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜 (Semifield.toCommGroupWithZero.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 F (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 F (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))))) (c n) (HSub.hSub.{u2, u2, u2} F F F (instHSub.{u2} F (SubNegMonoid.toSub.{u2} F (AddGroup.toSubNegMonoid.{u2} F (NormedAddGroup.toAddGroup.{u2} F (NormedAddCommGroup.toNormedAddGroup.{u2} F _inst_4))))) (f (HAdd.hAdd.{u3, u3, u3} E E E (instHAdd.{u3} E (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (NormedAddGroup.toAddGroup.{u3} E (NormedAddCommGroup.toNormedAddGroup.{u3} E _inst_2))))))) x (d n))) (f x))) l (nhds.{u2} F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (ContinuousLinearMap.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u2, u3, u2} (ContinuousLinearMap.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u4, u4, u3, u2} (ContinuousLinearMap.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u4} 𝕜 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+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.lim HasFDerivWithinAt.limₓ'. -/
 /- In this section, we discuss the uniqueness of the derivative.
 We prove that the definitions `unique_diff_within_at` and `unique_diff_on` indeed imply the
 uniqueness of the derivative. -/
@@ -240,7 +278,7 @@ i.e., `n (f (x + (1/n) v) - f x)` converges to `f' v`. More generally, if `c n`
 and `c n * d n` tends to `v`, then `c n * (f (x + d n) - f x)` tends to `f' v`. This lemma expresses
 this fact, for functions having a derivative within a set. Its specific formulation is useful for
 tangent cone related discussions. -/
-theorem HasFderivWithinAt.lim (h : HasFderivWithinAt f f' s x) {α : Type _} (l : Filter α)
+theorem HasFDerivWithinAt.lim (h : HasFDerivWithinAt f f' s x) {α : Type _} (l : Filter α)
     {c : α → 𝕜} {d : α → E} {v : E} (dtop : ∀ᶠ n in l, x + d n ∈ s)
     (clim : Tendsto (fun n => ‖c n‖) l atTop) (cdlim : Tendsto (fun n => c n • d n) l (𝓝 v)) :
     Tendsto (fun n => c n • (f (x + d n) - f x)) l (𝓝 (f' v)) :=
@@ -274,24 +312,42 @@ theorem HasFderivWithinAt.lim (h : HasFderivWithinAt f f' s x) {α : Type _} (l
     ext n
     simp [smul_add, smul_sub]
   rwa [this, zero_add] at L3
-#align has_fderiv_within_at.lim HasFderivWithinAt.lim
-
+#align has_fderiv_within_at.lim HasFDerivWithinAt.lim
+
+/- warning: has_fderiv_within_at.unique_on -> HasFDerivWithinAt.unique_on is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f₁') (tangentConeAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f₁' s x) -> (Set.EqOn.{u2, u1} E F (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 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(Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 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(AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) f₁') (tangentConeAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x))
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.unique_on HasFDerivWithinAt.unique_onₓ'. -/
 /-- If `f'` and `f₁'` are two derivatives of `f` within `s` at `x`, then they are equal on the
 tangent cone to `s` at `x` -/
-theorem HasFderivWithinAt.unique_on (hf : HasFderivWithinAt f f' s x)
-    (hg : HasFderivWithinAt f f₁' s x) : EqOn f' f₁' (tangentConeAt 𝕜 s x) :=
+theorem HasFDerivWithinAt.unique_on (hf : HasFDerivWithinAt f f' s x)
+    (hg : HasFDerivWithinAt f f₁' s x) : EqOn f' f₁' (tangentConeAt 𝕜 s x) :=
   fun y ⟨c, d, dtop, clim, cdlim⟩ =>
   tendsto_nhds_unique (hf.lim atTop dtop clim cdlim) (hg.lim atTop dtop clim cdlim)
-#align has_fderiv_within_at.unique_on HasFderivWithinAt.unique_on
-
+#align has_fderiv_within_at.unique_on HasFDerivWithinAt.unique_on
+
+/- warning: unique_diff_within_at.eq -> UniqueDiffWithinAt.eq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f₁' s x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f' f₁')
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f₁' s x) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) f' f₁')
+Case conversion may be inaccurate. Consider using '#align unique_diff_within_at.eq UniqueDiffWithinAt.eqₓ'. -/
 /-- `unique_diff_within_at` achieves its goal: it implies the uniqueness of the derivative. -/
-theorem UniqueDiffWithinAt.eq (H : UniqueDiffWithinAt 𝕜 s x) (hf : HasFderivWithinAt f f' s x)
-    (hg : HasFderivWithinAt f f₁' s x) : f' = f₁' :=
+theorem UniqueDiffWithinAt.eq (H : UniqueDiffWithinAt 𝕜 s x) (hf : HasFDerivWithinAt f f' s x)
+    (hg : HasFDerivWithinAt f f₁' s x) : f' = f₁' :=
   ContinuousLinearMap.ext_on H.1 (hf.unique_on hg)
 #align unique_diff_within_at.eq UniqueDiffWithinAt.eq
 
-theorem UniqueDiffOn.eq (H : UniqueDiffOn 𝕜 s) (hx : x ∈ s) (h : HasFderivWithinAt f f' s x)
-    (h₁ : HasFderivWithinAt f f₁' s x) : f' = f₁' :=
+/- warning: unique_diff_on.eq -> UniqueDiffOn.eq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (UniqueDiffOn.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f₁' s x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f' f₁')
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (UniqueDiffOn.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f₁' s x) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) f' f₁')
+Case conversion may be inaccurate. Consider using '#align unique_diff_on.eq UniqueDiffOn.eqₓ'. -/
+theorem UniqueDiffOn.eq (H : UniqueDiffOn 𝕜 s) (hx : x ∈ s) (h : HasFDerivWithinAt f f' s x)
+    (h₁ : HasFDerivWithinAt f f₁' s x) : f' = f₁' :=
   (H x hx).Eq h h₁
 #align unique_diff_on.eq UniqueDiffOn.eq
 
@@ -302,151 +358,295 @@ section FderivProperties
 /-! ### Basic properties of the derivative -/
 
 
-theorem hasFderivAtFilter_iff_tendsto :
-    HasFderivAtFilter f f' x L ↔
+/- warning: has_fderiv_at_filter_iff_tendsto -> hasFDerivAtFilter_iff_tendsto is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {L : Filter.{u2} E}, Iff (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L) (Filter.Tendsto.{u2, 0} E Real (fun (x' : E) => HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Inv.inv.{0} Real Real.hasInv (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x))) (Norm.norm.{u3} F (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) (HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (f x') (f x)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f' (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x))))) L (nhds.{0} Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {L : Filter.{u2} E}, Iff (HasFDerivAtFilter.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L) (Filter.Tendsto.{u2, 0} E Real (fun (x' : E) => HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inv.inv.{0} Real Real.instInvReal (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x))) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x)) F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (f x') (f x)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 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E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u3, u3, u2, u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) f' (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x))))) L (nhds.{0} Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))))
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at_filter_iff_tendsto hasFDerivAtFilter_iff_tendstoₓ'. -/
+theorem hasFDerivAtFilter_iff_tendsto :
+    HasFDerivAtFilter f f' x L ↔
       Tendsto (fun x' => ‖x' - x‖⁻¹ * ‖f x' - f x - f' (x' - x)‖) L (𝓝 0) :=
   by
   have h : ∀ x', ‖x' - x‖ = 0 → ‖f x' - f x - f' (x' - x)‖ = 0 := fun x' hx' =>
     by
     rw [sub_eq_zero.1 (norm_eq_zero.1 hx')]
     simp
-  unfold HasFderivAtFilter
+  unfold HasFDerivAtFilter
   rw [← is_o_norm_left, ← is_o_norm_right, is_o_iff_tendsto h]
   exact tendsto_congr fun _ => div_eq_inv_mul _ _
-#align has_fderiv_at_filter_iff_tendsto hasFderivAtFilter_iff_tendsto
-
-theorem hasFderivWithinAt_iff_tendsto :
-    HasFderivWithinAt f f' s x ↔
+#align has_fderiv_at_filter_iff_tendsto hasFDerivAtFilter_iff_tendsto
+
+/- warning: has_fderiv_within_at_iff_tendsto -> hasFDerivWithinAt_iff_tendsto is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) (Filter.Tendsto.{u2, 0} E Real (fun (x' : E) => HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Inv.inv.{0} Real Real.hasInv (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x))) (Norm.norm.{u3} F (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) (HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F 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_inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E 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(NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x))))) (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) (nhds.{0} Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 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(AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x))))) (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) (nhds.{0} Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))))
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_iff_tendsto hasFDerivWithinAt_iff_tendstoₓ'. -/
+theorem hasFDerivWithinAt_iff_tendsto :
+    HasFDerivWithinAt f f' s x ↔
       Tendsto (fun x' => ‖x' - x‖⁻¹ * ‖f x' - f x - f' (x' - x)‖) (𝓝[s] x) (𝓝 0) :=
-  hasFderivAtFilter_iff_tendsto
-#align has_fderiv_within_at_iff_tendsto hasFderivWithinAt_iff_tendsto
-
-theorem hasFderivAt_iff_tendsto :
-    HasFderivAt f f' x ↔ Tendsto (fun x' => ‖x' - x‖⁻¹ * ‖f x' - f x - f' (x' - x)‖) (𝓝 x) (𝓝 0) :=
-  hasFderivAtFilter_iff_tendsto
-#align has_fderiv_at_iff_tendsto hasFderivAt_iff_tendsto
-
-theorem hasFderivAt_iff_isLittleO_nhds_zero :
-    HasFderivAt f f' x ↔ (fun h : E => f (x + h) - f x - f' h) =o[𝓝 0] fun h => h :=
+  hasFDerivAtFilter_iff_tendsto
+#align has_fderiv_within_at_iff_tendsto hasFDerivWithinAt_iff_tendsto
+
+/- warning: has_fderiv_at_iff_tendsto -> hasFDerivAt_iff_tendsto is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, Iff (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) (Filter.Tendsto.{u2, 0} E Real (fun (x' : E) => HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Inv.inv.{0} Real Real.hasInv (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x))) (Norm.norm.{u3} F (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) (HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (f x') (f x)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) 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(NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x))))) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) (nhds.{0} Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, Iff (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) (Filter.Tendsto.{u2, 0} E Real (fun (x' : E) => HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Inv.inv.{0} Real Real.instInvReal (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x))) (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x)) F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (f x') (f x)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u3, u3, u2, u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) f' (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x))))) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) (nhds.{0} Real (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))))
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at_iff_tendsto hasFDerivAt_iff_tendstoₓ'. -/
+theorem hasFDerivAt_iff_tendsto :
+    HasFDerivAt f f' x ↔ Tendsto (fun x' => ‖x' - x‖⁻¹ * ‖f x' - f x - f' (x' - x)‖) (𝓝 x) (𝓝 0) :=
+  hasFDerivAtFilter_iff_tendsto
+#align has_fderiv_at_iff_tendsto hasFDerivAt_iff_tendsto
+
+/- warning: has_fderiv_at_iff_is_o_nhds_zero -> hasFDerivAt_iff_isLittleO_nhds_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, Iff (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) (Asymptotics.IsLittleO.{u2, u3, u2} E F E (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))))))))) (fun (h : E) => HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (f (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))) x h)) (f x)) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f' h)) (fun (h : E) => h))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 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(PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u3, u3, u2, u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) f' h)) (fun (h : E) => h))
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at_iff_is_o_nhds_zero hasFDerivAt_iff_isLittleO_nhds_zeroₓ'. -/
+theorem hasFDerivAt_iff_isLittleO_nhds_zero :
+    HasFDerivAt f f' x ↔ (fun h : E => f (x + h) - f x - f' h) =o[𝓝 0] fun h => h :=
   by
-  rw [HasFderivAt, HasFderivAtFilter, ← map_add_left_nhds_zero x, is_o_map]
+  rw [HasFDerivAt, HasFDerivAtFilter, ← map_add_left_nhds_zero x, is_o_map]
   simp [(· ∘ ·)]
-#align has_fderiv_at_iff_is_o_nhds_zero hasFderivAt_iff_isLittleO_nhds_zero
-
+#align has_fderiv_at_iff_is_o_nhds_zero hasFDerivAt_iff_isLittleO_nhds_zero
+
+/- warning: has_fderiv_at.le_of_lip' -> HasFDerivAt.le_of_lip' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x₀ : E}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x₀) -> (forall {C : Real}, (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) C) -> (Filter.Eventually.{u2} E (fun (x : E) => LE.le.{0} Real Real.hasLe (Norm.norm.{u3} F (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) (HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (f x) (f x₀))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x x₀)))) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x₀)) -> (LE.le.{0} Real Real.hasLe (Norm.norm.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, u3} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f') C))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x₀ : E}, (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x₀) -> (forall {C : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) C) -> (Filter.Eventually.{u2} E (fun (x : E) => LE.le.{0} Real Real.instLEReal (Norm.norm.{u1} F (NormedAddCommGroup.toNorm.{u1} F _inst_4) (HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (f x) (f x₀))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x x₀)))) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x₀)) -> (LE.le.{0} Real Real.instLEReal (Norm.norm.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.hasOpNorm.{u3, u3, u2, u1} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))))) f') C))
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at.le_of_lip' HasFDerivAt.le_of_lip'ₓ'. -/
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
 on a neighborhood of `x₀` then it its derivative at `x₀` has norm bounded by `C`. This version
 only assumes that `‖f x - f x₀‖ ≤ C * ‖x - x₀‖` in a neighborhood of `x`. -/
-theorem HasFderivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (hf : HasFderivAt f f' x₀)
+theorem HasFDerivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (hf : HasFDerivAt f f' x₀)
     {C : ℝ} (hC₀ : 0 ≤ C) (hlip : ∀ᶠ x in 𝓝 x₀, ‖f x - f x₀‖ ≤ C * ‖x - x₀‖) : ‖f'‖ ≤ C :=
   by
   refine' le_of_forall_pos_le_add fun ε ε0 => op_norm_le_of_nhds_zero _ _
   exact add_nonneg hC₀ ε0.le
   rw [← map_add_left_nhds_zero x₀, eventually_map] at hlip
-  filter_upwards [is_o_iff.1 (hasFderivAt_iff_isLittleO_nhds_zero.1 hf) ε0, hlip]with y hy hyC
+  filter_upwards [is_o_iff.1 (hasFDerivAt_iff_isLittleO_nhds_zero.1 hf) ε0, hlip]with y hy hyC
   rw [add_sub_cancel'] at hyC
   calc
     ‖f' y‖ ≤ ‖f (x₀ + y) - f x₀‖ + ‖f (x₀ + y) - f x₀ - f' y‖ := norm_le_insert _ _
     _ ≤ C * ‖y‖ + ε * ‖y‖ := (add_le_add hyC hy)
     _ = (C + ε) * ‖y‖ := (add_mul _ _ _).symm
     
-#align has_fderiv_at.le_of_lip' HasFderivAt.le_of_lip'
-
+#align has_fderiv_at.le_of_lip' HasFDerivAt.le_of_lip'
+
+/- warning: has_fderiv_at.le_of_lip -> HasFDerivAt.le_of_lip is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x₀ : E}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x₀) -> (forall {s : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x₀)) -> (forall {C : NNReal}, (LipschitzOnWith.{u2, u3} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (PseudoMetricSpace.toPseudoEMetricSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) C f s) -> (LE.le.{0} Real Real.hasLe (Norm.norm.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, u3} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f') ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) C))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x₀ : E}, (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x₀) -> (forall {s : Set.{u2} E}, (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x₀)) -> (forall {C : NNReal}, (LipschitzOnWith.{u2, u1} E F (EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))) (EMetricSpace.toPseudoEMetricSpace.{u1} F (MetricSpace.toEMetricSpace.{u1} F (NormedAddCommGroup.toMetricSpace.{u1} F _inst_4))) C f s) -> (LE.le.{0} Real Real.instLEReal (Norm.norm.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.hasOpNorm.{u3, u3, u2, u1} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))))) f') (NNReal.toReal C))))
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at.le_of_lip HasFDerivAt.le_of_lipₓ'. -/
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
 on a neighborhood of `x₀` then it its derivative at `x₀` has norm bounded by `C`. -/
-theorem HasFderivAt.le_of_lip {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (hf : HasFderivAt f f' x₀)
+theorem HasFDerivAt.le_of_lip {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (hf : HasFDerivAt f f' x₀)
     {s : Set E} (hs : s ∈ 𝓝 x₀) {C : ℝ≥0} (hlip : LipschitzOnWith C f s) : ‖f'‖ ≤ C :=
   by
   refine' hf.le_of_lip' C.coe_nonneg _
   filter_upwards [hs]with x hx using hlip.norm_sub_le hx (mem_of_mem_nhds hs)
-#align has_fderiv_at.le_of_lip HasFderivAt.le_of_lip
-
-theorem HasFderivAtFilter.mono (h : HasFderivAtFilter f f' x L₂) (hst : L₁ ≤ L₂) :
-    HasFderivAtFilter f f' x L₁ :=
+#align has_fderiv_at.le_of_lip HasFDerivAt.le_of_lip
+
+/- warning: has_fderiv_at_filter.mono -> HasFDerivAtFilter.mono is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {L₁ : Filter.{u2} E} {L₂ : Filter.{u2} E}, (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L₂) -> (LE.le.{u2} (Filter.{u2} E) (Preorder.toHasLe.{u2} (Filter.{u2} E) (PartialOrder.toPreorder.{u2} (Filter.{u2} E) (Filter.partialOrder.{u2} E))) L₁ L₂) -> (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L₁)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {L₁ : Filter.{u2} E} {L₂ : Filter.{u2} E}, (HasFDerivAtFilter.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L₂) -> (LE.le.{u2} (Filter.{u2} E) (Preorder.toLE.{u2} (Filter.{u2} E) (PartialOrder.toPreorder.{u2} (Filter.{u2} E) (Filter.instPartialOrderFilter.{u2} E))) L₁ L₂) -> (HasFDerivAtFilter.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L₁)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at_filter.mono HasFDerivAtFilter.monoₓ'. -/
+theorem HasFDerivAtFilter.mono (h : HasFDerivAtFilter f f' x L₂) (hst : L₁ ≤ L₂) :
+    HasFDerivAtFilter f f' x L₁ :=
   h.mono hst
-#align has_fderiv_at_filter.mono HasFderivAtFilter.mono
-
-theorem HasFderivWithinAt.mono_of_mem (h : HasFderivWithinAt f f' t x) (hst : t ∈ 𝓝[s] x) :
-    HasFderivWithinAt f f' s x :=
+#align has_fderiv_at_filter.mono HasFDerivAtFilter.mono
+
+/- warning: has_fderiv_within_at.mono_of_mem -> HasFDerivWithinAt.mono_of_mem is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) t (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s)) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) t (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s)) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.mono_of_mem HasFDerivWithinAt.mono_of_memₓ'. -/
+theorem HasFDerivWithinAt.mono_of_mem (h : HasFDerivWithinAt f f' t x) (hst : t ∈ 𝓝[s] x) :
+    HasFDerivWithinAt f f' s x :=
   h.mono <| nhdsWithin_le_iff.mpr hst
-#align has_fderiv_within_at.mono_of_mem HasFderivWithinAt.mono_of_mem
-
-theorem HasFderivWithinAt.mono (h : HasFderivWithinAt f f' t x) (hst : s ⊆ t) :
-    HasFderivWithinAt f f' s x :=
+#align has_fderiv_within_at.mono_of_mem HasFDerivWithinAt.mono_of_mem
+
+/- warning: has_fderiv_within_at.mono -> HasFDerivWithinAt.mono is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) s t) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) s t) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.mono HasFDerivWithinAt.monoₓ'. -/
+theorem HasFDerivWithinAt.mono (h : HasFDerivWithinAt f f' t x) (hst : s ⊆ t) :
+    HasFDerivWithinAt f f' s x :=
   h.mono <| nhdsWithin_mono _ hst
-#align has_fderiv_within_at.mono HasFderivWithinAt.mono
-
-theorem HasFderivAt.hasFderivAtFilter (h : HasFderivAt f f' x) (hL : L ≤ 𝓝 x) :
-    HasFderivAtFilter f f' x L :=
+#align has_fderiv_within_at.mono HasFDerivWithinAt.mono
+
+/- warning: has_fderiv_at.has_fderiv_at_filter -> HasFDerivAt.hasFDerivAtFilter is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {L : Filter.{u2} E}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (LE.le.{u2} (Filter.{u2} E) (Preorder.toHasLe.{u2} (Filter.{u2} E) (PartialOrder.toPreorder.{u2} (Filter.{u2} E) (Filter.partialOrder.{u2} E))) L (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {L : Filter.{u2} E}, (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (LE.le.{u2} (Filter.{u2} E) (Preorder.toLE.{u2} (Filter.{u2} E) (PartialOrder.toPreorder.{u2} (Filter.{u2} E) (Filter.instPartialOrderFilter.{u2} E))) L (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (HasFDerivAtFilter.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at.has_fderiv_at_filter HasFDerivAt.hasFDerivAtFilterₓ'. -/
+theorem HasFDerivAt.hasFDerivAtFilter (h : HasFDerivAt f f' x) (hL : L ≤ 𝓝 x) :
+    HasFDerivAtFilter f f' x L :=
   h.mono hL
-#align has_fderiv_at.has_fderiv_at_filter HasFderivAt.hasFderivAtFilter
-
-theorem HasFderivAt.hasFderivWithinAt (h : HasFderivAt f f' x) : HasFderivWithinAt f f' s x :=
-  h.HasFderivAtFilter inf_le_left
-#align has_fderiv_at.has_fderiv_within_at HasFderivAt.hasFderivWithinAt
-
-theorem HasFderivWithinAt.differentiableWithinAt (h : HasFderivWithinAt f f' s x) :
+#align has_fderiv_at.has_fderiv_at_filter HasFDerivAt.hasFDerivAtFilter
+
+/- warning: has_fderiv_at.has_fderiv_within_at -> HasFDerivAt.hasFDerivWithinAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at.has_fderiv_within_at HasFDerivAt.hasFDerivWithinAtₓ'. -/
+theorem HasFDerivAt.hasFDerivWithinAt (h : HasFDerivAt f f' x) : HasFDerivWithinAt f f' s x :=
+  h.HasFDerivAtFilter inf_le_left
+#align has_fderiv_at.has_fderiv_within_at HasFDerivAt.hasFDerivWithinAt
+
+/- warning: has_fderiv_within_at.differentiable_within_at -> HasFDerivWithinAt.differentiableWithinAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.differentiable_within_at HasFDerivWithinAt.differentiableWithinAtₓ'. -/
+theorem HasFDerivWithinAt.differentiableWithinAt (h : HasFDerivWithinAt f f' s x) :
     DifferentiableWithinAt 𝕜 f s x :=
   ⟨f', h⟩
-#align has_fderiv_within_at.differentiable_within_at HasFderivWithinAt.differentiableWithinAt
-
-theorem HasFderivAt.differentiableAt (h : HasFderivAt f f' x) : DifferentiableAt 𝕜 f x :=
+#align has_fderiv_within_at.differentiable_within_at HasFDerivWithinAt.differentiableWithinAt
+
+/- warning: has_fderiv_at.differentiable_at -> HasFDerivAt.differentiableAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at.differentiable_at HasFDerivAt.differentiableAtₓ'. -/
+theorem HasFDerivAt.differentiableAt (h : HasFDerivAt f f' x) : DifferentiableAt 𝕜 f x :=
   ⟨f', h⟩
-#align has_fderiv_at.differentiable_at HasFderivAt.differentiableAt
-
+#align has_fderiv_at.differentiable_at HasFDerivAt.differentiableAt
+
+/- warning: has_fderiv_within_at_univ -> hasFDerivWithinAt_univ is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Set.univ.{u2} E) x) (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, Iff (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Set.univ.{u2} E) x) (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_univ hasFDerivWithinAt_univₓ'. -/
 @[simp]
-theorem hasFderivWithinAt_univ : HasFderivWithinAt f f' univ x ↔ HasFderivAt f f' x :=
+theorem hasFDerivWithinAt_univ : HasFDerivWithinAt f f' univ x ↔ HasFDerivAt f f' x :=
   by
-  simp only [HasFderivWithinAt, nhdsWithin_univ]
+  simp only [HasFDerivWithinAt, nhdsWithin_univ]
   rfl
-#align has_fderiv_within_at_univ hasFderivWithinAt_univ
-
-alias hasFderivWithinAt_univ ↔ HasFderivWithinAt.hasFderivAt_of_univ _
-#align has_fderiv_within_at.has_fderiv_at_of_univ HasFderivWithinAt.hasFderivAt_of_univ
-
-theorem hasFderivWithinAt_insert {y : E} {g' : E →L[𝕜] F} :
-    HasFderivWithinAt g g' (insert y s) x ↔ HasFderivWithinAt g g' s x :=
+#align has_fderiv_within_at_univ hasFDerivWithinAt_univ
+
+/- warning: has_fderiv_within_at.has_fderiv_at_of_univ -> HasFDerivWithinAt.hasFDerivAt_of_univ is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Set.univ.{u2} E) x) -> (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Set.univ.{u2} E) x) -> (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.has_fderiv_at_of_univ HasFDerivWithinAt.hasFDerivAt_of_univₓ'. -/
+alias hasFDerivWithinAt_univ ↔ HasFDerivWithinAt.hasFDerivAt_of_univ _
+#align has_fderiv_within_at.has_fderiv_at_of_univ HasFDerivWithinAt.hasFDerivAt_of_univ
+
+/- warning: has_fderiv_within_at_insert -> hasFDerivWithinAt_insert is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {g : E -> F} {x : E} {s : Set.{u2} E} {y : E} {g' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) y s) x) (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' s x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {g : E -> F} {x : E} {s : Set.{u2} E} {y : E} {g' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, Iff (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) y s) x) (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' s x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_insert hasFDerivWithinAt_insertₓ'. -/
+theorem hasFDerivWithinAt_insert {y : E} {g' : E →L[𝕜] F} :
+    HasFDerivWithinAt g g' (insert y s) x ↔ HasFDerivWithinAt g g' s x :=
   by
   rcases eq_or_ne x y with (rfl | h)
-  · simp_rw [HasFderivWithinAt, HasFderivAtFilter]
+  · simp_rw [HasFDerivWithinAt, HasFDerivAtFilter]
     apply Asymptotics.isLittleO_insert
     simp only [sub_self, g'.map_zero]
   refine' ⟨fun h => h.mono <| subset_insert y s, fun hg => hg.mono_of_mem _⟩
   simp_rw [nhdsWithin_insert_of_ne h, self_mem_nhdsWithin]
-#align has_fderiv_within_at_insert hasFderivWithinAt_insert
-
-alias hasFderivWithinAt_insert ↔ HasFderivWithinAt.of_insert HasFderivWithinAt.insert'
-#align has_fderiv_within_at.of_insert HasFderivWithinAt.of_insert
-#align has_fderiv_within_at.insert' HasFderivWithinAt.insert'
-
-theorem HasFderivWithinAt.insert {g' : E →L[𝕜] F} (h : HasFderivWithinAt g g' s x) :
-    HasFderivWithinAt g g' (insert x s) x :=
+#align has_fderiv_within_at_insert hasFDerivWithinAt_insert
+
+/- warning: has_fderiv_within_at.of_insert -> HasFDerivWithinAt.of_insert is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {g : E -> F} {x : E} {s : Set.{u2} E} {y : E} {g' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) y s) x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' s x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {g : E -> F} {x : E} {s : Set.{u2} E} {y : E} {g' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) y s) x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' s x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.of_insert HasFDerivWithinAt.of_insertₓ'. -/
+/- warning: has_fderiv_within_at.insert' -> HasFDerivWithinAt.insert' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {g : E -> F} {x : E} {s : Set.{u2} E} {y : E} {g' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) y s) x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {g : E -> F} {x : E} {s : Set.{u2} E} {y : E} {g' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) y s) x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.insert' HasFDerivWithinAt.insert'ₓ'. -/
+alias hasFDerivWithinAt_insert ↔ HasFDerivWithinAt.of_insert HasFDerivWithinAt.insert'
+#align has_fderiv_within_at.of_insert HasFDerivWithinAt.of_insert
+#align has_fderiv_within_at.insert' HasFDerivWithinAt.insert'
+
+/- warning: has_fderiv_within_at.insert -> HasFDerivWithinAt.insert is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {g : E -> F} {x : E} {s : Set.{u2} E} {g' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.hasInsert.{u2} E) x s) x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {g : E -> F} {x : E} {s : Set.{u2} E} {g' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 g g' (Insert.insert.{u2, u2} E (Set.{u2} E) (Set.instInsertSet.{u2} E) x s) x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.insert HasFDerivWithinAt.insertₓ'. -/
+theorem HasFDerivWithinAt.insert {g' : E →L[𝕜] F} (h : HasFDerivWithinAt g g' s x) :
+    HasFDerivWithinAt g g' (insert x s) x :=
   h.insert'
-#align has_fderiv_within_at.insert HasFderivWithinAt.insert
-
-theorem HasStrictFderivAt.isBigO_sub (hf : HasStrictFderivAt f f' x) :
+#align has_fderiv_within_at.insert HasFDerivWithinAt.insert
+
+/- warning: has_strict_fderiv_at.is_O_sub -> HasStrictFDerivAt.isBigO_sub is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (Asymptotics.IsBigO.{u2, u3, u2} (Prod.{u2, u2} E E) F E (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (nhds.{u2} (Prod.{u2, u2} E E) (Prod.topologicalSpace.{u2, u2} E E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (Prod.mk.{u2, u2} E E x x)) (fun (p : Prod.{u2, u2} E E) => HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (f (Prod.fst.{u2, u2} E E p)) (f (Prod.snd.{u2, u2} E E p))) (fun (p : Prod.{u2, u2} E E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) (Prod.fst.{u2, u2} E E p) (Prod.snd.{u2, u2} E E p)))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (Asymptotics.IsBigO.{u2, u1, u2} (Prod.{u2, u2} E E) F E (NormedAddCommGroup.toNorm.{u1} F _inst_4) (NormedAddCommGroup.toNorm.{u2} E _inst_2) (nhds.{u2} (Prod.{u2, u2} E E) (instTopologicalSpaceProd.{u2, u2} E E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (Prod.mk.{u2, u2} E E x x)) (fun (p : Prod.{u2, u2} E E) => HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (f (Prod.fst.{u2, u2} E E p)) (f (Prod.snd.{u2, u2} E E p))) (fun (p : Prod.{u2, u2} E E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) (Prod.fst.{u2, u2} E E p) (Prod.snd.{u2, u2} E E p)))
+Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.is_O_sub HasStrictFDerivAt.isBigO_subₓ'. -/
+theorem HasStrictFDerivAt.isBigO_sub (hf : HasStrictFDerivAt f f' x) :
     (fun p : E × E => f p.1 - f p.2) =O[𝓝 (x, x)] fun p : E × E => p.1 - p.2 :=
   hf.IsBigO.congr_of_sub.2 (f'.isBigO_comp _ _)
-#align has_strict_fderiv_at.is_O_sub HasStrictFderivAt.isBigO_sub
-
-theorem HasFderivAtFilter.isBigO_sub (h : HasFderivAtFilter f f' x L) :
+#align has_strict_fderiv_at.is_O_sub HasStrictFDerivAt.isBigO_sub
+
+/- warning: has_fderiv_at_filter.is_O_sub -> HasFDerivAtFilter.isBigO_sub is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {L : Filter.{u2} E}, (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L) -> (Asymptotics.IsBigO.{u2, u3, u2} E F E (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) L (fun (x' : E) => HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (f x') (f x)) (fun (x' : E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {L : Filter.{u2} E}, (HasFDerivAtFilter.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L) -> (Asymptotics.IsBigO.{u2, u1, u2} E F E (NormedAddCommGroup.toNorm.{u1} F _inst_4) (NormedAddCommGroup.toNorm.{u2} E _inst_2) L (fun (x' : E) => HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (f x') (f x)) (fun (x' : E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x))
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at_filter.is_O_sub HasFDerivAtFilter.isBigO_subₓ'. -/
+theorem HasFDerivAtFilter.isBigO_sub (h : HasFDerivAtFilter f f' x L) :
     (fun x' => f x' - f x) =O[L] fun x' => x' - x :=
   h.IsBigO.congr_of_sub.2 (f'.isBigO_sub _ _)
-#align has_fderiv_at_filter.is_O_sub HasFderivAtFilter.isBigO_sub
-
-protected theorem HasStrictFderivAt.hasFderivAt (hf : HasStrictFderivAt f f' x) :
-    HasFderivAt f f' x := by
-  rw [HasFderivAt, HasFderivAtFilter, is_o_iff]
+#align has_fderiv_at_filter.is_O_sub HasFDerivAtFilter.isBigO_sub
+
+/- warning: has_strict_fderiv_at.has_fderiv_at -> HasStrictFDerivAt.hasFDerivAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x)
+Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.has_fderiv_at HasStrictFDerivAt.hasFDerivAtₓ'. -/
+protected theorem HasStrictFDerivAt.hasFDerivAt (hf : HasStrictFDerivAt f f' x) :
+    HasFDerivAt f f' x := by
+  rw [HasFDerivAt, HasFDerivAtFilter, is_o_iff]
   exact fun c hc => tendsto_id.prod_mk_nhds tendsto_const_nhds (is_o_iff.1 hf hc)
-#align has_strict_fderiv_at.has_fderiv_at HasStrictFderivAt.hasFderivAt
-
-protected theorem HasStrictFderivAt.differentiableAt (hf : HasStrictFderivAt f f' x) :
+#align has_strict_fderiv_at.has_fderiv_at HasStrictFDerivAt.hasFDerivAt
+
+/- warning: has_strict_fderiv_at.differentiable_at -> HasStrictFDerivAt.differentiableAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
+Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.differentiable_at HasStrictFDerivAt.differentiableAtₓ'. -/
+protected theorem HasStrictFDerivAt.differentiableAt (hf : HasStrictFDerivAt f f' x) :
     DifferentiableAt 𝕜 f x :=
-  hf.HasFderivAt.DifferentiableAt
-#align has_strict_fderiv_at.differentiable_at HasStrictFderivAt.differentiableAt
-
+  hf.HasFDerivAt.DifferentiableAt
+#align has_strict_fderiv_at.differentiable_at HasStrictFDerivAt.differentiableAt
+
+/- warning: has_strict_fderiv_at.exists_lipschitz_on_with_of_nnnorm_lt -> HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_lt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (forall (K : NNReal), (LT.lt.{0} NNReal (Preorder.toHasLt.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) (NNNorm.nnnorm.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (SeminormedAddGroup.toNNNorm.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (SeminormedAddCommGroup.toSeminormedAddGroup.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, u3} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f') K) -> (Exists.{succ u2} (Set.{u2} E) (fun (s : Set.{u2} E) => Exists.{0} (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) (fun (H : Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) => LipschitzOnWith.{u2, u3} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (PseudoMetricSpace.toPseudoEMetricSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) K f s))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (forall (K : NNReal), (LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (NNNorm.nnnorm.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (SeminormedAddGroup.toNNNorm.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (SeminormedAddCommGroup.toSeminormedAddGroup.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u3, u3, u2, u1} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))))) f') K) -> (Exists.{succ u2} (Set.{u2} E) (fun (s : Set.{u2} E) => And (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) (LipschitzOnWith.{u2, u1} E F (EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))) (EMetricSpace.toPseudoEMetricSpace.{u1} F (MetricSpace.toEMetricSpace.{u1} F (NormedAddCommGroup.toMetricSpace.{u1} F _inst_4))) K f s))))
+Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.exists_lipschitz_on_with_of_nnnorm_lt HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_ltₓ'. -/
 /-- If `f` is strictly differentiable at `x` with derivative `f'` and `K > ‖f'‖₊`, then `f` is
 `K`-Lipschitz in a neighborhood of `x`. -/
-theorem HasStrictFderivAt.exists_lipschitzOnWith_of_nnnorm_lt (hf : HasStrictFderivAt f f' x)
+theorem HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_lt (hf : HasStrictFDerivAt f f' x)
     (K : ℝ≥0) (hK : ‖f'‖₊ < K) : ∃ s ∈ 𝓝 x, LipschitzOnWith K f s :=
   by
   have := hf.add_is_O_with (f'.is_O_with_comp _ _) hK
@@ -454,197 +654,395 @@ theorem HasStrictFderivAt.exists_lipschitzOnWith_of_nnnorm_lt (hf : HasStrictFde
   rcases exists_nhds_square this with ⟨U, Uo, xU, hU⟩
   exact
     ⟨U, Uo.mem_nhds xU, lipschitzOnWith_iff_norm_sub_le.2 fun x hx y hy => hU (mk_mem_prod hx hy)⟩
-#align has_strict_fderiv_at.exists_lipschitz_on_with_of_nnnorm_lt HasStrictFderivAt.exists_lipschitzOnWith_of_nnnorm_lt
-
+#align has_strict_fderiv_at.exists_lipschitz_on_with_of_nnnorm_lt HasStrictFDerivAt.exists_lipschitzOnWith_of_nnnorm_lt
+
+/- warning: has_strict_fderiv_at.exists_lipschitz_on_with -> HasStrictFDerivAt.exists_lipschitzOnWith is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (Exists.{1} NNReal (fun (K : NNReal) => Exists.{succ u2} (Set.{u2} E) (fun (s : Set.{u2} E) => Exists.{0} (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) (fun (H : Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) => LipschitzOnWith.{u2, u3} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (PseudoMetricSpace.toPseudoEMetricSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) K f s))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (Exists.{1} NNReal (fun (K : NNReal) => Exists.{succ u2} (Set.{u2} E) (fun (s : Set.{u2} E) => And (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) (LipschitzOnWith.{u2, u1} E F (EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))) (EMetricSpace.toPseudoEMetricSpace.{u1} F (MetricSpace.toEMetricSpace.{u1} F (NormedAddCommGroup.toMetricSpace.{u1} F _inst_4))) K f s))))
+Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.exists_lipschitz_on_with HasStrictFDerivAt.exists_lipschitzOnWithₓ'. -/
 /-- If `f` is strictly differentiable at `x` with derivative `f'`, then `f` is Lipschitz in a
 neighborhood of `x`. See also `has_strict_fderiv_at.exists_lipschitz_on_with_of_nnnorm_lt` for a
 more precise statement. -/
-theorem HasStrictFderivAt.exists_lipschitzOnWith (hf : HasStrictFderivAt f f' x) :
+theorem HasStrictFDerivAt.exists_lipschitzOnWith (hf : HasStrictFDerivAt f f' x) :
     ∃ K, ∃ s ∈ 𝓝 x, LipschitzOnWith K f s :=
   (exists_gt _).imp hf.exists_lipschitzOnWith_of_nnnorm_lt
-#align has_strict_fderiv_at.exists_lipschitz_on_with HasStrictFderivAt.exists_lipschitzOnWith
-
+#align has_strict_fderiv_at.exists_lipschitz_on_with HasStrictFDerivAt.exists_lipschitzOnWith
+
+/- warning: has_fderiv_at.lim -> HasFDerivAt.lim is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (forall (v : E) {α : Type.{u4}} {c : α -> 𝕜} {l : Filter.{u4} α}, (Filter.Tendsto.{u4, 0} α Real (fun (n : α) => Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)) (c n)) l (Filter.atTop.{0} Real Real.preorder)) -> (Filter.Tendsto.{u4, u3} α F (fun (n : α) => SMul.smul.{u1, u3} 𝕜 F (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 F (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 F (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (AddCommMonoid.toAddMonoid.{u3} F (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) (c n) (HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (f (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))) x (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (c n)) v))) (f x))) l (nhds.{u3} F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f' v))))
+but is expected to have type
+  forall {𝕜 : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u4, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u4, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u4, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (forall (v : E) {α : Type.{u1}} {c : α -> 𝕜} {l : Filter.{u1} α}, (Filter.Tendsto.{u1, 0} α Real (fun (n : α) => Norm.norm.{u4} 𝕜 (NormedField.toNorm.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1)) (c n)) l (Filter.atTop.{0} Real Real.instPreorderReal)) -> (Filter.Tendsto.{u1, u2} α F (fun (n : α) => HSMul.hSMul.{u4, u2, u2} 𝕜 F F (instHSMul.{u4, u2} 𝕜 F (SMulZeroClass.toSMul.{u4, u2} 𝕜 F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 F (CommMonoidWithZero.toZero.{u4} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜 (Semifield.toCommGroupWithZero.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 F (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 F (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u4, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))))) (c n) (HSub.hSub.{u2, u2, u2} F F F (instHSub.{u2} F (SubNegMonoid.toSub.{u2} F (AddGroup.toSubNegMonoid.{u2} F (NormedAddGroup.toAddGroup.{u2} F (NormedAddCommGroup.toNormedAddGroup.{u2} F _inst_4))))) (f (HAdd.hAdd.{u3, u3, u3} E E E (instHAdd.{u3} E (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (NormedAddGroup.toAddGroup.{u3} E (NormedAddCommGroup.toNormedAddGroup.{u3} E _inst_2))))))) x (HSMul.hSMul.{u4, u3, u3} 𝕜 E E (instHSMul.{u4, u3} 𝕜 E (SMulZeroClass.toSMul.{u4, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜 E (CommMonoidWithZero.toZero.{u4} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜 (Semifield.toCommGroupWithZero.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))))) (Module.toMulActionWithZero.{u4, u3} 𝕜 E (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u4, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)))))) (Inv.inv.{u4} 𝕜 (Field.toInv.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))) (c n)) v))) (f x))) l (nhds.{u2} F 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𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u4, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))) (RingHom.id.{u4} 𝕜 (Semiring.toNonAssocSemiring.{u4} 𝕜 (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 (NontriviallyNormedField.toNormedField.{u4} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} 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+Case conversion may be inaccurate. Consider using '#align has_fderiv_at.lim HasFDerivAt.limₓ'. -/
 /-- Directional derivative agrees with `has_fderiv`. -/
-theorem HasFderivAt.lim (hf : HasFderivAt f f' x) (v : E) {α : Type _} {c : α → 𝕜} {l : Filter α}
+theorem HasFDerivAt.lim (hf : HasFDerivAt f f' x) (v : E) {α : Type _} {c : α → 𝕜} {l : Filter α}
     (hc : Tendsto (fun n => ‖c n‖) l atTop) :
     Tendsto (fun n => c n • (f (x + (c n)⁻¹ • v) - f x)) l (𝓝 (f' v)) :=
   by
-  refine' (hasFderivWithinAt_univ.2 hf).lim _ univ_mem hc _
+  refine' (hasFDerivWithinAt_univ.2 hf).lim _ univ_mem hc _
   intro U hU
   refine' (eventually_ne_of_tendsto_norm_atTop hc (0 : 𝕜)).mono fun y hy => _
   convert mem_of_mem_nhds hU
   dsimp only
   rw [← mul_smul, mul_inv_cancel hy, one_smul]
-#align has_fderiv_at.lim HasFderivAt.lim
-
-theorem HasFderivAt.unique (h₀ : HasFderivAt f f₀' x) (h₁ : HasFderivAt f f₁' x) : f₀' = f₁' :=
+#align has_fderiv_at.lim HasFDerivAt.lim
+
+/- warning: has_fderiv_at.unique -> HasFDerivAt.unique is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₀' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f₀' x) -> (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f₁' x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f₀' f₁')
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₀' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f₀' x) -> (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f₁' x) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) f₀' f₁')
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at.unique HasFDerivAt.uniqueₓ'. -/
+theorem HasFDerivAt.unique (h₀ : HasFDerivAt f f₀' x) (h₁ : HasFDerivAt f f₁' x) : f₀' = f₁' :=
   by
-  rw [← hasFderivWithinAt_univ] at h₀ h₁
+  rw [← hasFDerivWithinAt_univ] at h₀ h₁
   exact unique_diff_within_at_univ.eq h₀ h₁
-#align has_fderiv_at.unique HasFderivAt.unique
-
-theorem hasFderivWithinAt_inter' (h : t ∈ 𝓝[s] x) :
-    HasFderivWithinAt f f' (s ∩ t) x ↔ HasFderivWithinAt f f' s x := by
-  simp [HasFderivWithinAt, nhdsWithin_restrict'' s h]
-#align has_fderiv_within_at_inter' hasFderivWithinAt_inter'
-
-theorem hasFderivWithinAt_inter (h : t ∈ 𝓝 x) :
-    HasFderivWithinAt f f' (s ∩ t) x ↔ HasFderivWithinAt f f' s x := by
-  simp [HasFderivWithinAt, nhdsWithin_restrict' s h]
-#align has_fderiv_within_at_inter hasFderivWithinAt_inter
-
-theorem HasFderivWithinAt.union (hs : HasFderivWithinAt f f' s x)
-    (ht : HasFderivWithinAt f f' t x) : HasFderivWithinAt f f' (s ∪ t) x :=
+#align has_fderiv_at.unique HasFDerivAt.unique
+
+/- warning: has_fderiv_within_at_inter' -> hasFDerivWithinAt_inter' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) t (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s)) -> (Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Inter.inter.{u2} (Set.{u2} E) (Set.hasInter.{u2} E) s t) x) (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Membership.mem.{u3, u3} (Set.{u3} E) (Filter.{u3} E) (instMembershipSetFilter.{u3} E) t (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s)) -> (Iff (HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Inter.inter.{u3} (Set.{u3} E) (Set.instInterSet.{u3} E) s t) x) (HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x))
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_inter' hasFDerivWithinAt_inter'ₓ'. -/
+theorem hasFDerivWithinAt_inter' (h : t ∈ 𝓝[s] x) :
+    HasFDerivWithinAt f f' (s ∩ t) x ↔ HasFDerivWithinAt f f' s x := by
+  simp [HasFDerivWithinAt, nhdsWithin_restrict'' s h]
+#align has_fderiv_within_at_inter' hasFDerivWithinAt_inter'
+
+/- warning: has_fderiv_within_at_inter -> hasFDerivWithinAt_inter is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) t (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Inter.inter.{u2} (Set.{u2} E) (Set.hasInter.{u2} E) s t) x) (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Membership.mem.{u3, u3} (Set.{u3} E) (Filter.{u3} E) (instMembershipSetFilter.{u3} E) t (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x)) -> (Iff (HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Inter.inter.{u3} (Set.{u3} E) (Set.instInterSet.{u3} E) s t) x) (HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x))
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_inter hasFDerivWithinAt_interₓ'. -/
+theorem hasFDerivWithinAt_inter (h : t ∈ 𝓝 x) :
+    HasFDerivWithinAt f f' (s ∩ t) x ↔ HasFDerivWithinAt f f' s x := by
+  simp [HasFDerivWithinAt, nhdsWithin_restrict' s h]
+#align has_fderiv_within_at_inter hasFDerivWithinAt_inter
+
+/- warning: has_fderiv_within_at.union -> HasFDerivWithinAt.union is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Union.union.{u2} (Set.{u2} E) (Set.hasUnion.{u2} E) s t) x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' (Union.union.{u2} (Set.{u2} E) (Set.instUnionSet.{u2} E) s t) x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.union HasFDerivWithinAt.unionₓ'. -/
+theorem HasFDerivWithinAt.union (hs : HasFDerivWithinAt f f' s x)
+    (ht : HasFDerivWithinAt f f' t x) : HasFDerivWithinAt f f' (s ∪ t) x :=
   by
-  simp only [HasFderivWithinAt, nhdsWithin_union]
+  simp only [HasFDerivWithinAt, nhdsWithin_union]
   exact hs.sup ht
-#align has_fderiv_within_at.union HasFderivWithinAt.union
-
-theorem HasFderivWithinAt.nhdsWithin (h : HasFderivWithinAt f f' s x) (ht : s ∈ 𝓝[t] x) :
-    HasFderivWithinAt f f' t x :=
-  (hasFderivWithinAt_inter' ht).1 (h.mono (inter_subset_right _ _))
-#align has_fderiv_within_at.nhds_within HasFderivWithinAt.nhdsWithin
-
-theorem HasFderivWithinAt.hasFderivAt (h : HasFderivWithinAt f f' s x) (hs : s ∈ 𝓝 x) :
-    HasFderivAt f f' x := by
-  rwa [← univ_inter s, hasFderivWithinAt_inter hs, hasFderivWithinAt_univ] at h
-#align has_fderiv_within_at.has_fderiv_at HasFderivWithinAt.hasFderivAt
-
+#align has_fderiv_within_at.union HasFDerivWithinAt.union
+
+/- warning: has_fderiv_within_at.nhds_within -> HasFDerivWithinAt.nhdsWithin is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x t)) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x t)) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.nhds_within HasFDerivWithinAt.nhdsWithinₓ'. -/
+theorem HasFDerivWithinAt.nhdsWithin (h : HasFDerivWithinAt f f' s x) (ht : s ∈ 𝓝[t] x) :
+    HasFDerivWithinAt f f' t x :=
+  (hasFDerivWithinAt_inter' ht).1 (h.mono (inter_subset_right _ _))
+#align has_fderiv_within_at.nhds_within HasFDerivWithinAt.nhdsWithin
+
+/- warning: has_fderiv_within_at.has_fderiv_at -> HasFDerivWithinAt.hasFDerivAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.has_fderiv_at HasFDerivWithinAt.hasFDerivAtₓ'. -/
+theorem HasFDerivWithinAt.hasFDerivAt (h : HasFDerivWithinAt f f' s x) (hs : s ∈ 𝓝 x) :
+    HasFDerivAt f f' x := by
+  rwa [← univ_inter s, hasFDerivWithinAt_inter hs, hasFDerivWithinAt_univ] at h
+#align has_fderiv_within_at.has_fderiv_at HasFDerivWithinAt.hasFDerivAt
+
+/- warning: differentiable_within_at.differentiable_at -> DifferentiableWithinAt.differentiableAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
+Case conversion may be inaccurate. Consider using '#align differentiable_within_at.differentiable_at DifferentiableWithinAt.differentiableAtₓ'. -/
 theorem DifferentiableWithinAt.differentiableAt (h : DifferentiableWithinAt 𝕜 f s x)
     (hs : s ∈ 𝓝 x) : DifferentiableAt 𝕜 f x :=
-  h.imp fun f' hf' => hf'.HasFderivAt hs
+  h.imp fun f' hf' => hf'.HasFDerivAt hs
 #align differentiable_within_at.differentiable_at DifferentiableWithinAt.differentiableAt
 
-theorem DifferentiableWithinAt.hasFderivWithinAt (h : DifferentiableWithinAt 𝕜 f s x) :
-    HasFderivWithinAt f (fderivWithin 𝕜 f s x) s x :=
+/- warning: differentiable_within_at.has_fderiv_within_at -> DifferentiableWithinAt.hasFDerivWithinAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) s x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) s x)
+Case conversion may be inaccurate. Consider using '#align differentiable_within_at.has_fderiv_within_at DifferentiableWithinAt.hasFDerivWithinAtₓ'. -/
+theorem DifferentiableWithinAt.hasFDerivWithinAt (h : DifferentiableWithinAt 𝕜 f s x) :
+    HasFDerivWithinAt f (fderivWithin 𝕜 f s x) s x :=
   by
   dsimp only [fderivWithin]
   dsimp only [DifferentiableWithinAt] at h
   rw [dif_pos h]
   exact Classical.choose_spec h
-#align differentiable_within_at.has_fderiv_within_at DifferentiableWithinAt.hasFderivWithinAt
-
-theorem DifferentiableAt.hasFderivAt (h : DifferentiableAt 𝕜 f x) :
-    HasFderivAt f (fderiv 𝕜 f x) x := by
+#align differentiable_within_at.has_fderiv_within_at DifferentiableWithinAt.hasFDerivWithinAt
+
+/- warning: differentiable_at.has_fderiv_at -> DifferentiableAt.hasFDerivAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E}, (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E}, (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (fderiv.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) x)
+Case conversion may be inaccurate. Consider using '#align differentiable_at.has_fderiv_at DifferentiableAt.hasFDerivAtₓ'. -/
+theorem DifferentiableAt.hasFDerivAt (h : DifferentiableAt 𝕜 f x) :
+    HasFDerivAt f (fderiv 𝕜 f x) x := by
   dsimp only [fderiv]
   dsimp only [DifferentiableAt] at h
   rw [dif_pos h]
   exact Classical.choose_spec h
-#align differentiable_at.has_fderiv_at DifferentiableAt.hasFderivAt
-
-theorem DifferentiableOn.hasFderivAt (h : DifferentiableOn 𝕜 f s) (hs : s ∈ 𝓝 x) :
-    HasFderivAt f (fderiv 𝕜 f x) x :=
-  ((h x (mem_of_mem_nhds hs)).DifferentiableAt hs).HasFderivAt
-#align differentiable_on.has_fderiv_at DifferentiableOn.hasFderivAt
-
+#align differentiable_at.has_fderiv_at DifferentiableAt.hasFDerivAt
+
+/- warning: differentiable_on.has_fderiv_at -> DifferentiableOn.hasFDerivAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (fderiv.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) x)
+Case conversion may be inaccurate. Consider using '#align differentiable_on.has_fderiv_at DifferentiableOn.hasFDerivAtₓ'. -/
+theorem DifferentiableOn.hasFDerivAt (h : DifferentiableOn 𝕜 f s) (hs : s ∈ 𝓝 x) :
+    HasFDerivAt f (fderiv 𝕜 f x) x :=
+  ((h x (mem_of_mem_nhds hs)).DifferentiableAt hs).HasFDerivAt
+#align differentiable_on.has_fderiv_at DifferentiableOn.hasFDerivAt
+
+/- warning: differentiable_on.differentiable_at -> DifferentiableOn.differentiableAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
+Case conversion may be inaccurate. Consider using '#align differentiable_on.differentiable_at DifferentiableOn.differentiableAtₓ'. -/
 theorem DifferentiableOn.differentiableAt (h : DifferentiableOn 𝕜 f s) (hs : s ∈ 𝓝 x) :
     DifferentiableAt 𝕜 f x :=
-  (h.HasFderivAt hs).DifferentiableAt
+  (h.HasFDerivAt hs).DifferentiableAt
 #align differentiable_on.differentiable_at DifferentiableOn.differentiableAt
 
+/- warning: differentiable_on.eventually_differentiable_at -> DifferentiableOn.eventually_differentiableAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (Filter.Eventually.{u2} E (fun (y : E) => DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (Filter.Eventually.{u2} E (fun (y : E) => DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f y) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x))
+Case conversion may be inaccurate. Consider using '#align differentiable_on.eventually_differentiable_at DifferentiableOn.eventually_differentiableAtₓ'. -/
 theorem DifferentiableOn.eventually_differentiableAt (h : DifferentiableOn 𝕜 f s) (hs : s ∈ 𝓝 x) :
     ∀ᶠ y in 𝓝 x, DifferentiableAt 𝕜 f y :=
   (eventually_eventually_nhds.2 hs).mono fun y => h.DifferentiableAt
 #align differentiable_on.eventually_differentiable_at DifferentiableOn.eventually_differentiableAt
 
-theorem HasFderivAt.fderiv (h : HasFderivAt f f' x) : fderiv 𝕜 f x = f' :=
+/- warning: has_fderiv_at.fderiv -> HasFDerivAt.fderiv is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) f')
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderiv.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) f')
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at.fderiv HasFDerivAt.fderivₓ'. -/
+theorem HasFDerivAt.fderiv (h : HasFDerivAt f f' x) : fderiv 𝕜 f x = f' :=
   by
   ext
   rw [h.unique h.differentiable_at.has_fderiv_at]
-#align has_fderiv_at.fderiv HasFderivAt.fderiv
-
-theorem fderiv_eq {f' : E → E →L[𝕜] F} (h : ∀ x, HasFderivAt f (f' x) x) : fderiv 𝕜 f = f' :=
+#align has_fderiv_at.fderiv HasFDerivAt.fderiv
+
+/- warning: fderiv_eq -> fderiv_eq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : E -> (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))}, (forall (x : E), HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (f' x) x) -> (Eq.{max (succ u2) (succ u3)} (E -> (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) f')
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : E -> (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5))}, (forall (x : E), HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (f' x) x) -> (Eq.{max (succ u2) (succ u1)} (E -> (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5))) (fderiv.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) f')
+Case conversion may be inaccurate. Consider using '#align fderiv_eq fderiv_eqₓ'. -/
+theorem fderiv_eq {f' : E → E →L[𝕜] F} (h : ∀ x, HasFDerivAt f (f' x) x) : fderiv 𝕜 f = f' :=
   funext fun x => (h x).fderiv
 #align fderiv_eq fderiv_eq
 
+/- warning: fderiv_at.le_of_lip -> DifferentiableAt.le_of_lip is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x₀ : E}, (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x₀) -> (forall {s : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x₀)) -> (forall {C : NNReal}, (LipschitzOnWith.{u2, u3} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (PseudoMetricSpace.toPseudoEMetricSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) C f s) -> (LE.le.{0} Real Real.hasLe (Norm.norm.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, u3} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x₀)) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) C))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x₀ : E}, (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x₀) -> (forall {s : Set.{u2} E}, (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x₀)) -> (forall {C : NNReal}, (LipschitzOnWith.{u2, u1} E F (EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))) (EMetricSpace.toPseudoEMetricSpace.{u1} F (MetricSpace.toEMetricSpace.{u1} F (NormedAddCommGroup.toMetricSpace.{u1} F _inst_4))) C f s) -> (LE.le.{0} Real Real.instLEReal (Norm.norm.{max u1 u2} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.hasOpNorm.{u3, u3, u2, u1} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))))) (fderiv.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x₀)) (NNReal.toReal C))))
+Case conversion may be inaccurate. Consider using '#align fderiv_at.le_of_lip DifferentiableAt.le_of_lipₓ'. -/
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
 on a neighborhood of `x₀` then it its derivative at `x₀` has norm bounded by `C`.
 Version using `fderiv`. -/
-theorem FderivAt.le_of_lip {f : E → F} {x₀ : E} (hf : DifferentiableAt 𝕜 f x₀) {s : Set E}
+theorem DifferentiableAt.le_of_lip {f : E → F} {x₀ : E} (hf : DifferentiableAt 𝕜 f x₀) {s : Set E}
     (hs : s ∈ 𝓝 x₀) {C : ℝ≥0} (hlip : LipschitzOnWith C f s) : ‖fderiv 𝕜 f x₀‖ ≤ C :=
-  hf.HasFderivAt.le_of_lip hs hlip
-#align fderiv_at.le_of_lip FderivAt.le_of_lip
-
-theorem HasFderivWithinAt.fderivWithin (h : HasFderivWithinAt f f' s x)
+  hf.HasFDerivAt.le_of_lip hs hlip
+#align fderiv_at.le_of_lip DifferentiableAt.le_of_lip
+
+/- warning: has_fderiv_within_at.fderiv_within -> HasFDerivWithinAt.fderivWithin is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) f')
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) f')
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.fderiv_within HasFDerivWithinAt.fderivWithinₓ'. -/
+theorem HasFDerivWithinAt.fderivWithin (h : HasFDerivWithinAt f f' s x)
     (hxs : UniqueDiffWithinAt 𝕜 s x) : fderivWithin 𝕜 f s x = f' :=
-  (hxs.Eq h h.DifferentiableWithinAt.HasFderivWithinAt).symm
-#align has_fderiv_within_at.fderiv_within HasFderivWithinAt.fderivWithin
-
+  (hxs.Eq h h.DifferentiableWithinAt.HasFDerivWithinAt).symm
+#align has_fderiv_within_at.fderiv_within HasFDerivWithinAt.fderivWithin
+
+/- warning: has_fderiv_within_at_of_not_mem_closure -> hasFDerivWithinAt_of_not_mem_closure is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (Not (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x (closure.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s))) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u3} E}, (Not (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (closure.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) s))) -> (HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_of_not_mem_closure hasFDerivWithinAt_of_not_mem_closureₓ'. -/
 /-- If `x` is not in the closure of `s`, then `f` has any derivative at `x` within `s`,
 as this statement is empty. -/
-theorem hasFderivWithinAt_of_not_mem_closure (h : x ∉ closure s) : HasFderivWithinAt f f' s x :=
+theorem hasFDerivWithinAt_of_not_mem_closure (h : x ∉ closure s) : HasFDerivWithinAt f f' s x :=
   by
   simp only [mem_closure_iff_nhdsWithin_neBot, ne_bot_iff, Ne.def, Classical.not_not] at h
-  simp [HasFderivWithinAt, HasFderivAtFilter, h, is_o, is_O_with]
-#align has_fderiv_within_at_of_not_mem_closure hasFderivWithinAt_of_not_mem_closure
-
+  simp [HasFDerivWithinAt, HasFDerivAtFilter, h, is_o, is_O_with]
+#align has_fderiv_within_at_of_not_mem_closure hasFDerivWithinAt_of_not_mem_closure
+
+/- warning: differentiable_within_at.mono -> DifferentiableWithinAt.mono is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) s t) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) s t) -> (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x)
+Case conversion may be inaccurate. Consider using '#align differentiable_within_at.mono DifferentiableWithinAt.monoₓ'. -/
 theorem DifferentiableWithinAt.mono (h : DifferentiableWithinAt 𝕜 f t x) (st : s ⊆ t) :
     DifferentiableWithinAt 𝕜 f s x := by
   rcases h with ⟨f', hf'⟩
   exact ⟨f', hf'.mono st⟩
 #align differentiable_within_at.mono DifferentiableWithinAt.mono
 
+/- warning: differentiable_within_at.mono_of_mem -> DifferentiableWithinAt.mono_of_mem is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (forall {t : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x t)) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (forall {t : Set.{u2} E}, (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x t)) -> (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
+Case conversion may be inaccurate. Consider using '#align differentiable_within_at.mono_of_mem DifferentiableWithinAt.mono_of_memₓ'. -/
 theorem DifferentiableWithinAt.mono_of_mem (h : DifferentiableWithinAt 𝕜 f s x) {t : Set E}
     (hst : s ∈ nhdsWithin x t) : DifferentiableWithinAt 𝕜 f t x :=
-  (h.HasFderivWithinAt.mono_of_mem hst).DifferentiableWithinAt
+  (h.HasFDerivWithinAt.mono_of_mem hst).DifferentiableWithinAt
 #align differentiable_within_at.mono_of_mem DifferentiableWithinAt.mono_of_mem
 
+/- warning: differentiable_within_at_univ -> differentiableWithinAt_univ is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E}, Iff (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Set.univ.{u2} E) x) (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E}, Iff (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Set.univ.{u2} E) x) (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
+Case conversion may be inaccurate. Consider using '#align differentiable_within_at_univ differentiableWithinAt_univₓ'. -/
 theorem differentiableWithinAt_univ : DifferentiableWithinAt 𝕜 f univ x ↔ DifferentiableAt 𝕜 f x :=
-  by simp only [DifferentiableWithinAt, hasFderivWithinAt_univ, DifferentiableAt]
+  by simp only [DifferentiableWithinAt, hasFDerivWithinAt_univ, DifferentiableAt]
 #align differentiable_within_at_univ differentiableWithinAt_univ
 
+/- warning: differentiable_within_at_inter -> differentiableWithinAt_inter is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) t (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (Iff (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u2} (Set.{u2} E) (Set.hasInter.{u2} E) s t) x) (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Membership.mem.{u3, u3} (Set.{u3} E) (Filter.{u3} E) (instMembershipSetFilter.{u3} E) t (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x)) -> (Iff (DifferentiableWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u3} (Set.{u3} E) (Set.instInterSet.{u3} E) s t) x) (DifferentiableWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+Case conversion may be inaccurate. Consider using '#align differentiable_within_at_inter differentiableWithinAt_interₓ'. -/
 theorem differentiableWithinAt_inter (ht : t ∈ 𝓝 x) :
     DifferentiableWithinAt 𝕜 f (s ∩ t) x ↔ DifferentiableWithinAt 𝕜 f s x := by
-  simp only [DifferentiableWithinAt, HasFderivWithinAt, HasFderivAtFilter,
+  simp only [DifferentiableWithinAt, HasFDerivWithinAt, HasFDerivAtFilter,
     nhdsWithin_restrict' s ht]
 #align differentiable_within_at_inter differentiableWithinAt_inter
 
+/- warning: differentiable_within_at_inter' -> differentiableWithinAt_inter' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) t (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s)) -> (Iff (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u2} (Set.{u2} E) (Set.hasInter.{u2} E) s t) x) (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Membership.mem.{u3, u3} (Set.{u3} E) (Filter.{u3} E) (instMembershipSetFilter.{u3} E) t (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s)) -> (Iff (DifferentiableWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u3} (Set.{u3} E) (Set.instInterSet.{u3} E) s t) x) (DifferentiableWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+Case conversion may be inaccurate. Consider using '#align differentiable_within_at_inter' differentiableWithinAt_inter'ₓ'. -/
 theorem differentiableWithinAt_inter' (ht : t ∈ 𝓝[s] x) :
     DifferentiableWithinAt 𝕜 f (s ∩ t) x ↔ DifferentiableWithinAt 𝕜 f s x := by
-  simp only [DifferentiableWithinAt, HasFderivWithinAt, HasFderivAtFilter,
+  simp only [DifferentiableWithinAt, HasFDerivWithinAt, HasFDerivAtFilter,
     nhdsWithin_restrict'' s ht]
 #align differentiable_within_at_inter' differentiableWithinAt_inter'
 
+/- warning: differentiable_within_at.antimono -> DifferentiableWithinAt.antimono is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) s t) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x t)) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) s t) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x t)) -> (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x)
+Case conversion may be inaccurate. Consider using '#align differentiable_within_at.antimono DifferentiableWithinAt.antimonoₓ'. -/
 theorem DifferentiableWithinAt.antimono (h : DifferentiableWithinAt 𝕜 f s x) (hst : s ⊆ t)
     (hx : s ∈ 𝓝[t] x) : DifferentiableWithinAt 𝕜 f t x := by
   rwa [← differentiableWithinAt_inter' hx, inter_eq_self_of_subset_right hst]
 #align differentiable_within_at.antimono DifferentiableWithinAt.antimono
 
-theorem HasFderivWithinAt.antimono (h : HasFderivWithinAt f f' s x) (hst : s ⊆ t)
-    (hs : UniqueDiffWithinAt 𝕜 s x) (hx : s ∈ 𝓝[t] x) : HasFderivWithinAt f f' t x :=
+/- warning: has_fderiv_within_at.antimono -> HasFDerivWithinAt.antimono is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) s t) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x t)) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) s t) -> (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) s (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x t)) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' t x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.antimono HasFDerivWithinAt.antimonoₓ'. -/
+theorem HasFDerivWithinAt.antimono (h : HasFDerivWithinAt f f' s x) (hst : s ⊆ t)
+    (hs : UniqueDiffWithinAt 𝕜 s x) (hx : s ∈ 𝓝[t] x) : HasFDerivWithinAt f f' t x :=
   by
-  have h' : HasFderivWithinAt f _ t x :=
-    (h.differentiable_within_at.antimono hst hx).HasFderivWithinAt
+  have h' : HasFDerivWithinAt f _ t x :=
+    (h.differentiable_within_at.antimono hst hx).HasFDerivWithinAt
   rwa [hs.eq h (h'.mono hst)]
-#align has_fderiv_within_at.antimono HasFderivWithinAt.antimono
-
+#align has_fderiv_within_at.antimono HasFDerivWithinAt.antimono
+
+/- warning: differentiable_at.differentiable_within_at -> DifferentiableAt.differentiableWithinAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x)
+Case conversion may be inaccurate. Consider using '#align differentiable_at.differentiable_within_at DifferentiableAt.differentiableWithinAtₓ'. -/
 theorem DifferentiableAt.differentiableWithinAt (h : DifferentiableAt 𝕜 f x) :
     DifferentiableWithinAt 𝕜 f s x :=
   (differentiableWithinAt_univ.2 h).mono (subset_univ _)
 #align differentiable_at.differentiable_within_at DifferentiableAt.differentiableWithinAt
 
+/- warning: differentiable.differentiable_at -> Differentiable.differentiableAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E}, (Differentiable.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) -> (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E}, (Differentiable.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) -> (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x)
+Case conversion may be inaccurate. Consider using '#align differentiable.differentiable_at Differentiable.differentiableAtₓ'. -/
 theorem Differentiable.differentiableAt (h : Differentiable 𝕜 f) : DifferentiableAt 𝕜 f x :=
   h x
 #align differentiable.differentiable_at Differentiable.differentiableAt
 
+/- warning: differentiable_at.fderiv_within -> DifferentiableAt.fderivWithin is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderiv.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+Case conversion may be inaccurate. Consider using '#align differentiable_at.fderiv_within DifferentiableAt.fderivWithinₓ'. -/
 theorem DifferentiableAt.fderivWithin (h : DifferentiableAt 𝕜 f x)
     (hxs : UniqueDiffWithinAt 𝕜 s x) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
-  h.HasFderivAt.HasFderivWithinAt.fderivWithin hxs
+  h.HasFDerivAt.HasFDerivWithinAt.fderivWithin hxs
 #align differentiable_at.fderiv_within DifferentiableAt.fderivWithin
 
+/- warning: differentiable_on.mono -> DifferentiableOn.mono is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) s t) -> (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) s t) -> (DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s)
+Case conversion may be inaccurate. Consider using '#align differentiable_on.mono DifferentiableOn.monoₓ'. -/
 theorem DifferentiableOn.mono (h : DifferentiableOn 𝕜 f t) (st : s ⊆ t) : DifferentiableOn 𝕜 f s :=
   fun x hx => (h x (st hx)).mono st
 #align differentiable_on.mono DifferentiableOn.mono
 
+/- warning: differentiable_on_univ -> differentiableOn_univ is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F}, Iff (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Set.univ.{u2} E)) (Differentiable.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F}, Iff (DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Set.univ.{u2} E)) (Differentiable.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)
+Case conversion may be inaccurate. Consider using '#align differentiable_on_univ differentiableOn_univₓ'. -/
 theorem differentiableOn_univ : DifferentiableOn 𝕜 f univ ↔ Differentiable 𝕜 f := by
   simp only [DifferentiableOn, Differentiable, differentiableWithinAt_univ, mem_univ,
     forall_true_left]
 #align differentiable_on_univ differentiableOn_univ
 
+/- warning: differentiable.differentiable_on -> Differentiable.differentiableOn is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {s : Set.{u2} E}, (Differentiable.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) -> (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {s : Set.{u2} E}, (Differentiable.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) -> (DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s)
+Case conversion may be inaccurate. Consider using '#align differentiable.differentiable_on Differentiable.differentiableOnₓ'. -/
 theorem Differentiable.differentiableOn (h : Differentiable 𝕜 f) : DifferentiableOn 𝕜 f s :=
   (differentiableOn_univ.2 h).mono (subset_univ _)
 #align differentiable.differentiable_on Differentiable.differentiableOn
 
+/- warning: differentiable_on_of_locally_differentiable_on -> differentiableOn_of_locally_differentiableOn is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {s : Set.{u2} E}, (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Exists.{succ u2} (Set.{u2} E) (fun (u : Set.{u2} E) => And (IsOpen.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) u) (And (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x u) (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u2} (Set.{u2} E) (Set.hasInter.{u2} E) s u)))))) -> (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {s : Set.{u3} E}, (forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x s) -> (Exists.{succ u3} (Set.{u3} E) (fun (u : Set.{u3} E) => And (IsOpen.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) u) (And (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x u) (DifferentiableOn.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u3} (Set.{u3} E) (Set.instInterSet.{u3} E) s u)))))) -> (DifferentiableOn.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s)
+Case conversion may be inaccurate. Consider using '#align differentiable_on_of_locally_differentiable_on differentiableOn_of_locally_differentiableOnₓ'. -/
 theorem differentiableOn_of_locally_differentiableOn
     (h : ∀ x ∈ s, ∃ u, IsOpen u ∧ x ∈ u ∧ DifferentiableOn 𝕜 f (s ∩ u)) : DifferentiableOn 𝕜 f s :=
   by
@@ -653,28 +1051,52 @@ theorem differentiableOn_of_locally_differentiableOn
   exact (differentiableWithinAt_inter (IsOpen.mem_nhds t_open xt)).1 (ht x ⟨xs, xt⟩)
 #align differentiable_on_of_locally_differentiable_on differentiableOn_of_locally_differentiableOn
 
+/- warning: fderiv_within_subset -> fderivWithin_subset is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) s t) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) s t) -> (UniqueDiffWithinAt.{u2, u3} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) s x) -> (DifferentiableWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) -> (Eq.{max (succ u3) (succ u1)} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderivWithin.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_subset fderivWithin_subsetₓ'. -/
 theorem fderivWithin_subset (st : s ⊆ t) (ht : UniqueDiffWithinAt 𝕜 s x)
     (h : DifferentiableWithinAt 𝕜 f t x) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
-  ((DifferentiableWithinAt.hasFderivWithinAt h).mono st).fderivWithin ht
+  ((DifferentiableWithinAt.hasFDerivWithinAt h).mono st).fderivWithin ht
 #align fderiv_within_subset fderivWithin_subset
 
+/- warning: fderiv_within_subset' -> fderivWithin_subset' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) s t) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x t)) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) s t) -> (UniqueDiffWithinAt.{u2, u3} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) s x) -> (Membership.mem.{u3, u3} (Set.{u3} E) (Filter.{u3} E) (instMembershipSetFilter.{u3} E) s (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x t)) -> (DifferentiableWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (Eq.{max (succ u3) (succ u1)} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderivWithin.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_subset' fderivWithin_subset'ₓ'. -/
 theorem fderivWithin_subset' (st : s ⊆ t) (ht : UniqueDiffWithinAt 𝕜 s x) (hx : s ∈ 𝓝[t] x)
     (h : DifferentiableWithinAt 𝕜 f s x) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
   fderivWithin_subset st ht (h.antimono st hx)
 #align fderiv_within_subset' fderivWithin_subset'
 
+/- warning: fderiv_within_univ -> fderivWithin_univ is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F}, Eq.{max (succ u2) (succ u3)} (E -> (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Set.univ.{u2} E)) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F}, Eq.{max (succ u3) (succ u2)} (E -> (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Set.univ.{u3} E)) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)
+Case conversion may be inaccurate. Consider using '#align fderiv_within_univ fderivWithin_univₓ'. -/
 @[simp]
 theorem fderivWithin_univ : fderivWithin 𝕜 f univ = fderiv 𝕜 f :=
   by
   ext x : 1
   by_cases h : DifferentiableAt 𝕜 f x
-  · apply HasFderivWithinAt.fderivWithin _ uniqueDiffWithinAt_univ
-    rw [hasFderivWithinAt_univ]
+  · apply HasFDerivWithinAt.fderivWithin _ uniqueDiffWithinAt_univ
+    rw [hasFDerivWithinAt_univ]
     apply h.has_fderiv_at
   · have : ¬DifferentiableWithinAt 𝕜 f univ x := by rwa [differentiableWithinAt_univ]
     rw [fderiv_zero_of_not_differentiableAt h, fderivWithin_zero_of_not_differentiableWithinAt this]
 #align fderiv_within_univ fderivWithin_univ
 
+/- warning: fderiv_within_inter -> fderivWithin_inter is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) t (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u2} (Set.{u2} E) (Set.hasInter.{u2} E) s t) x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E} {t : Set.{u3} E}, (Membership.mem.{u3, u3} (Set.{u3} E) (Filter.{u3} E) (instMembershipSetFilter.{u3} E) t (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x)) -> (UniqueDiffWithinAt.{u2, u3} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) s x) -> (Eq.{max (succ u3) (succ u1)} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Inter.inter.{u3} (Set.{u3} E) (Set.instInterSet.{u3} E) s t) x) (fderivWithin.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_inter fderivWithin_interₓ'. -/
 theorem fderivWithin_inter (ht : t ∈ 𝓝 x) (hs : UniqueDiffWithinAt 𝕜 s x) :
     fderivWithin 𝕜 f (s ∩ t) x = fderivWithin 𝕜 f s x :=
   by
@@ -686,6 +1108,12 @@ theorem fderivWithin_inter (ht : t ∈ 𝓝 x) (hs : UniqueDiffWithinAt 𝕜 s x
       fderivWithin_zero_of_not_differentiableWithinAt this]
 #align fderiv_within_inter fderivWithin_inter
 
+/- warning: fderiv_within_of_mem_nhds -> fderivWithin_of_mem_nhds is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) s (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E}, (Membership.mem.{u3, u3} (Set.{u3} E) (Filter.{u3} E) (instMembershipSetFilter.{u3} E) s (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x)) -> (Eq.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_of_mem_nhds fderivWithin_of_mem_nhdsₓ'. -/
 theorem fderivWithin_of_mem_nhds (h : s ∈ 𝓝 x) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
   by
   have : s = univ ∩ s := by simp only [univ_inter]
@@ -693,10 +1121,22 @@ theorem fderivWithin_of_mem_nhds (h : s ∈ 𝓝 x) : fderivWithin 𝕜 f s x =
   exact fderivWithin_inter h (uniqueDiffOn_univ _ (mem_univ _))
 #align fderiv_within_of_mem_nhds fderivWithin_of_mem_nhds
 
+/- warning: fderiv_within_of_open -> fderivWithin_of_open is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (IsOpen.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u3} E}, (IsOpen.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) s) -> (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x s) -> (Eq.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_of_open fderivWithin_of_openₓ'. -/
 theorem fderivWithin_of_open (hs : IsOpen s) (hx : x ∈ s) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
   fderivWithin_of_mem_nhds (IsOpen.mem_nhds hs hx)
 #align fderiv_within_of_open fderivWithin_of_open
 
+/- warning: fderiv_within_eq_fderiv -> fderivWithin_eq_fderiv is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) (fderiv.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_eq_fderiv fderivWithin_eq_fderivₓ'. -/
 theorem fderivWithin_eq_fderiv (hs : UniqueDiffWithinAt 𝕜 s x) (h : DifferentiableAt 𝕜 f x) :
     fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
   by
@@ -704,12 +1144,20 @@ theorem fderivWithin_eq_fderiv (hs : UniqueDiffWithinAt 𝕜 s x) (h : Different
   exact fderivWithin_subset (subset_univ _) hs h.differentiable_within_at
 #align fderiv_within_eq_fderiv fderivWithin_eq_fderiv
 
+#print fderiv_mem_iff /-
 theorem fderiv_mem_iff {f : E → F} {s : Set (E →L[𝕜] F)} {x : E} :
     fderiv 𝕜 f x ∈ s ↔
       DifferentiableAt 𝕜 f x ∧ fderiv 𝕜 f x ∈ s ∨ ¬DifferentiableAt 𝕜 f x ∧ (0 : E →L[𝕜] F) ∈ s :=
   by by_cases hx : DifferentiableAt 𝕜 f x <;> simp [fderiv_zero_of_not_differentiableAt, *]
 #align fderiv_mem_iff fderiv_mem_iff
+-/
 
+/- warning: fderiv_within_mem_iff -> fderivWithin_mem_iff is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {t : Set.{u2} E} {s : Set.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))} {x : E}, Iff (Membership.Mem.{max u2 u3, max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Set.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (Set.hasMem.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) s) (Or (And (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) (Membership.Mem.{max u2 u3, max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Set.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (Set.hasMem.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) s)) (And (Not (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x)) (Membership.Mem.{max u2 u3, max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Set.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (Set.hasMem.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (OfNat.mk.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) s)))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {t : Set.{u3} E} {s : Set.{max u2 u3} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))} {x : E}, Iff (Membership.mem.{max u2 u3, max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (Set.{max u2 u3} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) (Set.instMembershipSet.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) s) (Or (And (DifferentiableWithinAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) (Membership.mem.{max u2 u3, max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (Set.{max u2 u3} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) (Set.instMembershipSet.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) (fderivWithin.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x) s)) (And (Not (DifferentiableWithinAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f t x)) (Membership.mem.{max u3 u2, max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (Set.{max u2 u3} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) (Set.instMembershipSet.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) (OfNat.ofNat.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))) s)))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_mem_iff fderivWithin_mem_iffₓ'. -/
 theorem fderivWithin_mem_iff {f : E → F} {t : Set E} {s : Set (E →L[𝕜] F)} {x : E} :
     fderivWithin 𝕜 f t x ∈ s ↔
       DifferentiableWithinAt 𝕜 f t x ∧ fderivWithin 𝕜 f t x ∈ s ∨
@@ -719,30 +1167,54 @@ theorem fderivWithin_mem_iff {f : E → F} {t : Set E} {s : Set (E →L[𝕜] F)
     simp [fderivWithin_zero_of_not_differentiableWithinAt, *]
 #align fderiv_within_mem_iff fderivWithin_mem_iff
 
-theorem Asymptotics.IsBigO.hasFderivWithinAt {s : Set E} {x₀ : E} {n : ℕ}
+/- warning: asymptotics.is_O.has_fderiv_within_at -> Asymptotics.IsBigO.hasFDerivWithinAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {s : Set.{u2} E} {x₀ : E} {n : Nat}, (Asymptotics.IsBigO.{u2, u3, 0} E F Real (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) Real.hasNorm (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x₀ s) f (fun (x : E) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x x₀)) n)) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x₀ s) -> (LT.lt.{0} Nat Nat.hasLt (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) n) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 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_inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (OfNat.mk.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) s x₀)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {s : Set.{u3} E} {x₀ : E} {n : Nat}, (Asymptotics.IsBigO.{u3, u2, 0} E F Real (NormedAddCommGroup.toNorm.{u2} F _inst_4) Real.norm (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x₀ s) f (fun (x : E) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u3} E (NormedAddCommGroup.toNorm.{u3} E _inst_2) (HSub.hSub.{u3, u3, u3} E E E (instHSub.{u3} E (SubNegMonoid.toSub.{u3} E (AddGroup.toSubNegMonoid.{u3} E (NormedAddGroup.toAddGroup.{u3} E (NormedAddCommGroup.toNormedAddGroup.{u3} E _inst_2))))) x x₀)) n)) -> (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x₀ s) -> (LT.lt.{0} Nat instLTNat (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) n) -> (HasFDerivWithinAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))) s x₀)
+Case conversion may be inaccurate. Consider using '#align asymptotics.is_O.has_fderiv_within_at Asymptotics.IsBigO.hasFDerivWithinAtₓ'. -/
+theorem Asymptotics.IsBigO.hasFDerivWithinAt {s : Set E} {x₀ : E} {n : ℕ}
     (h : f =O[𝓝[s] x₀] fun x => ‖x - x₀‖ ^ n) (hx₀ : x₀ ∈ s) (hn : 1 < n) :
-    HasFderivWithinAt f (0 : E →L[𝕜] F) s x₀ := by
-  simp_rw [HasFderivWithinAt, HasFderivAtFilter,
+    HasFDerivWithinAt f (0 : E →L[𝕜] F) s x₀ := by
+  simp_rw [HasFDerivWithinAt, HasFDerivAtFilter,
     h.eq_zero_of_norm_pow_within hx₀ <| zero_lt_one.trans hn, zero_apply, sub_zero,
     h.trans_is_o ((is_o_pow_sub_sub x₀ hn).mono nhdsWithin_le_nhds)]
-#align asymptotics.is_O.has_fderiv_within_at Asymptotics.IsBigO.hasFderivWithinAt
-
-theorem Asymptotics.IsBigO.hasFderivAt {x₀ : E} {n : ℕ} (h : f =O[𝓝 x₀] fun x => ‖x - x₀‖ ^ n)
-    (hn : 1 < n) : HasFderivAt f (0 : E →L[𝕜] F) x₀ :=
+#align asymptotics.is_O.has_fderiv_within_at Asymptotics.IsBigO.hasFDerivWithinAt
+
+/- warning: asymptotics.is_O.has_fderiv_at -> Asymptotics.IsBigO.hasFDerivAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x₀ : E} {n : Nat}, (Asymptotics.IsBigO.{u2, u3, 0} E F Real (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) Real.hasNorm (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x₀) f (fun (x : E) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.monoid)) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x x₀)) n)) -> (LT.lt.{0} Nat Nat.hasLt (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) n) -> (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (OfNat.mk.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) x₀)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {x₀ : E} {n : Nat}, (Asymptotics.IsBigO.{u3, u2, 0} E F Real (NormedAddCommGroup.toNorm.{u2} F _inst_4) Real.norm (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x₀) f (fun (x : E) => HPow.hPow.{0, 0, 0} Real Nat Real (instHPow.{0, 0} Real Nat (Monoid.Pow.{0} Real Real.instMonoidReal)) (Norm.norm.{u3} E (NormedAddCommGroup.toNorm.{u3} E _inst_2) (HSub.hSub.{u3, u3, u3} E E E (instHSub.{u3} E (SubNegMonoid.toSub.{u3} E (AddGroup.toSubNegMonoid.{u3} E (NormedAddGroup.toAddGroup.{u3} E (NormedAddCommGroup.toNormedAddGroup.{u3} E _inst_2))))) x x₀)) n)) -> (LT.lt.{0} Nat instLTNat (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) n) -> (HasFDerivAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))) x₀)
+Case conversion may be inaccurate. Consider using '#align asymptotics.is_O.has_fderiv_at Asymptotics.IsBigO.hasFDerivAtₓ'. -/
+theorem Asymptotics.IsBigO.hasFDerivAt {x₀ : E} {n : ℕ} (h : f =O[𝓝 x₀] fun x => ‖x - x₀‖ ^ n)
+    (hn : 1 < n) : HasFDerivAt f (0 : E →L[𝕜] F) x₀ :=
   by
   rw [← nhdsWithin_univ] at h
-  exact (h.has_fderiv_within_at (mem_univ _) hn).hasFderivAt_of_univ
-#align asymptotics.is_O.has_fderiv_at Asymptotics.IsBigO.hasFderivAt
-
-theorem HasFderivWithinAt.isBigO {f : E → F} {s : Set E} {x₀ : E} {f' : E →L[𝕜] F}
-    (h : HasFderivWithinAt f f' s x₀) : (fun x => f x - f x₀) =O[𝓝[s] x₀] fun x => x - x₀ := by
+  exact (h.has_fderiv_within_at (mem_univ _) hn).hasFDerivAt_of_univ
+#align asymptotics.is_O.has_fderiv_at Asymptotics.IsBigO.hasFDerivAt
+
+/- warning: has_fderiv_within_at.is_O -> HasFDerivWithinAt.isBigO is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {s : Set.{u2} E} {x₀ : E} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x₀) -> (Asymptotics.IsBigO.{u2, u3, u2} E F E (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x₀ s) (fun (x : E) => HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (f x) (f x₀)) (fun (x : E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x x₀))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {s : Set.{u3} E} {x₀ : E} {f' : ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x₀) -> (Asymptotics.IsBigO.{u3, u1, u3} E F E (NormedAddCommGroup.toNorm.{u1} F _inst_4) (NormedAddCommGroup.toNorm.{u3} E _inst_2) (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x₀ s) (fun (x : E) => HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (f x) (f x₀)) (fun (x : E) => HSub.hSub.{u3, u3, u3} E E E (instHSub.{u3} E (SubNegMonoid.toSub.{u3} E (AddGroup.toSubNegMonoid.{u3} E (NormedAddGroup.toAddGroup.{u3} E (NormedAddCommGroup.toNormedAddGroup.{u3} E _inst_2))))) x x₀))
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.is_O HasFDerivWithinAt.isBigOₓ'. -/
+theorem HasFDerivWithinAt.isBigO {f : E → F} {s : Set E} {x₀ : E} {f' : E →L[𝕜] F}
+    (h : HasFDerivWithinAt f f' s x₀) : (fun x => f x - f x₀) =O[𝓝[s] x₀] fun x => x - x₀ := by
   simpa only [sub_add_cancel] using h.is_O.add (is_O_sub f' (𝓝[s] x₀) x₀)
-#align has_fderiv_within_at.is_O HasFderivWithinAt.isBigO
-
-theorem HasFderivAt.isBigO {f : E → F} {x₀ : E} {f' : E →L[𝕜] F} (h : HasFderivAt f f' x₀) :
+#align has_fderiv_within_at.is_O HasFDerivWithinAt.isBigO
+
+/- warning: has_fderiv_at.is_O -> HasFDerivAt.isBigO is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x₀ : E} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x₀) -> (Asymptotics.IsBigO.{u2, u3, u2} E F E (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x₀) (fun (x : E) => HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (f x) (f x₀)) (fun (x : E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x x₀))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x₀ : E} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x₀) -> (Asymptotics.IsBigO.{u2, u1, u2} E F E (NormedAddCommGroup.toNorm.{u1} F _inst_4) (NormedAddCommGroup.toNorm.{u2} E _inst_2) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x₀) (fun (x : E) => HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (f x) (f x₀)) (fun (x : E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x x₀))
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at.is_O HasFDerivAt.isBigOₓ'. -/
+theorem HasFDerivAt.isBigO {f : E → F} {x₀ : E} {f' : E →L[𝕜] F} (h : HasFDerivAt f f' x₀) :
     (fun x => f x - f x₀) =O[𝓝 x₀] fun x => x - x₀ := by
   simpa only [sub_add_cancel] using h.is_O.add (is_O_sub f' (𝓝 x₀) x₀)
-#align has_fderiv_at.is_O HasFderivAt.isBigO
+#align has_fderiv_at.is_O HasFDerivAt.isBigO
 
 end FderivProperties
 
@@ -751,7 +1223,13 @@ section Continuous
 /-! ### Deducing continuity from differentiability -/
 
 
-theorem HasFderivAtFilter.tendsto_nhds (hL : L ≤ 𝓝 x) (h : HasFderivAtFilter f f' x L) :
+/- warning: has_fderiv_at_filter.tendsto_nhds -> HasFDerivAtFilter.tendsto_nhds is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {L : Filter.{u2} E}, (LE.le.{u2} (Filter.{u2} E) (Preorder.toHasLe.{u2} (Filter.{u2} E) (PartialOrder.toPreorder.{u2} (Filter.{u2} E) (Filter.partialOrder.{u2} E))) L (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x)) -> (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L) -> (Filter.Tendsto.{u2, u3} E F f L (nhds.{u3} F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (f x)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {L : Filter.{u3} E}, (LE.le.{u3} (Filter.{u3} E) (Preorder.toLE.{u3} (Filter.{u3} E) (PartialOrder.toPreorder.{u3} (Filter.{u3} E) (Filter.instPartialOrderFilter.{u3} E))) L (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x)) -> (HasFDerivAtFilter.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L) -> (Filter.Tendsto.{u3, u1} E F f L (nhds.{u1} F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (f x)))
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at_filter.tendsto_nhds HasFDerivAtFilter.tendsto_nhdsₓ'. -/
+theorem HasFDerivAtFilter.tendsto_nhds (hL : L ≤ 𝓝 x) (h : HasFDerivAtFilter f f' x L) :
     Tendsto f L (𝓝 (f x)) :=
   by
   have : tendsto (fun x' => f x' - f x) L (𝓝 0) :=
@@ -762,56 +1240,110 @@ theorem HasFderivAtFilter.tendsto_nhds (hL : L ≤ 𝓝 x) (h : HasFderivAtFilte
   have := tendsto.add this tendsto_const_nhds
   rw [zero_add (f x)] at this
   exact this.congr (by simp only [sub_add_cancel, eq_self_iff_true, forall_const])
-#align has_fderiv_at_filter.tendsto_nhds HasFderivAtFilter.tendsto_nhds
-
-theorem HasFderivWithinAt.continuousWithinAt (h : HasFderivWithinAt f f' s x) :
+#align has_fderiv_at_filter.tendsto_nhds HasFDerivAtFilter.tendsto_nhds
+
+/- warning: has_fderiv_within_at.continuous_within_at -> HasFDerivWithinAt.continuousWithinAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (ContinuousWithinAt.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) f s x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (ContinuousWithinAt.{u2, u1} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) f s x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.continuous_within_at HasFDerivWithinAt.continuousWithinAtₓ'. -/
+theorem HasFDerivWithinAt.continuousWithinAt (h : HasFDerivWithinAt f f' s x) :
     ContinuousWithinAt f s x :=
-  HasFderivAtFilter.tendsto_nhds inf_le_left h
-#align has_fderiv_within_at.continuous_within_at HasFderivWithinAt.continuousWithinAt
-
-theorem HasFderivAt.continuousAt (h : HasFderivAt f f' x) : ContinuousAt f x :=
-  HasFderivAtFilter.tendsto_nhds le_rfl h
-#align has_fderiv_at.continuous_at HasFderivAt.continuousAt
-
+  HasFDerivAtFilter.tendsto_nhds inf_le_left h
+#align has_fderiv_within_at.continuous_within_at HasFDerivWithinAt.continuousWithinAt
+
+/- warning: has_fderiv_at.continuous_at -> HasFDerivAt.continuousAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (ContinuousAt.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) f x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (ContinuousAt.{u2, u1} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) f x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at.continuous_at HasFDerivAt.continuousAtₓ'. -/
+theorem HasFDerivAt.continuousAt (h : HasFDerivAt f f' x) : ContinuousAt f x :=
+  HasFDerivAtFilter.tendsto_nhds le_rfl h
+#align has_fderiv_at.continuous_at HasFDerivAt.continuousAt
+
+/- warning: differentiable_within_at.continuous_within_at -> DifferentiableWithinAt.continuousWithinAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (ContinuousWithinAt.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) f s x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (ContinuousWithinAt.{u2, u1} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) f s x)
+Case conversion may be inaccurate. Consider using '#align differentiable_within_at.continuous_within_at DifferentiableWithinAt.continuousWithinAtₓ'. -/
 theorem DifferentiableWithinAt.continuousWithinAt (h : DifferentiableWithinAt 𝕜 f s x) :
     ContinuousWithinAt f s x :=
   let ⟨f', hf'⟩ := h
   hf'.ContinuousWithinAt
 #align differentiable_within_at.continuous_within_at DifferentiableWithinAt.continuousWithinAt
 
+/- warning: differentiable_at.continuous_at -> DifferentiableAt.continuousAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E}, (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (ContinuousAt.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) f x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E}, (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (ContinuousAt.{u2, u1} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) f x)
+Case conversion may be inaccurate. Consider using '#align differentiable_at.continuous_at DifferentiableAt.continuousAtₓ'. -/
 theorem DifferentiableAt.continuousAt (h : DifferentiableAt 𝕜 f x) : ContinuousAt f x :=
   let ⟨f', hf'⟩ := h
   hf'.ContinuousAt
 #align differentiable_at.continuous_at DifferentiableAt.continuousAt
 
+/- warning: differentiable_on.continuous_on -> DifferentiableOn.continuousOn is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {s : Set.{u2} E}, (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) -> (ContinuousOn.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) f s)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {s : Set.{u2} E}, (DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) -> (ContinuousOn.{u2, u1} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) f s)
+Case conversion may be inaccurate. Consider using '#align differentiable_on.continuous_on DifferentiableOn.continuousOnₓ'. -/
 theorem DifferentiableOn.continuousOn (h : DifferentiableOn 𝕜 f s) : ContinuousOn f s := fun x hx =>
   (h x hx).ContinuousWithinAt
 #align differentiable_on.continuous_on DifferentiableOn.continuousOn
 
+/- warning: differentiable.continuous -> Differentiable.continuous is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F}, (Differentiable.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) -> (Continuous.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) f)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F}, (Differentiable.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f) -> (Continuous.{u2, u1} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) f)
+Case conversion may be inaccurate. Consider using '#align differentiable.continuous Differentiable.continuousₓ'. -/
 theorem Differentiable.continuous (h : Differentiable 𝕜 f) : Continuous f :=
   continuous_iff_continuousAt.2 fun x => (h x).ContinuousAt
 #align differentiable.continuous Differentiable.continuous
 
-protected theorem HasStrictFderivAt.continuousAt (hf : HasStrictFderivAt f f' x) :
+/- warning: has_strict_fderiv_at.continuous_at -> HasStrictFDerivAt.continuousAt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (ContinuousAt.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) f x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (ContinuousAt.{u2, u1} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) f x)
+Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.continuous_at HasStrictFDerivAt.continuousAtₓ'. -/
+protected theorem HasStrictFDerivAt.continuousAt (hf : HasStrictFDerivAt f f' x) :
     ContinuousAt f x :=
-  hf.HasFderivAt.ContinuousAt
-#align has_strict_fderiv_at.continuous_at HasStrictFderivAt.continuousAt
-
-theorem HasStrictFderivAt.isBigO_sub_rev {f' : E ≃L[𝕜] F}
-    (hf : HasStrictFderivAt f (f' : E →L[𝕜] F) x) :
+  hf.HasFDerivAt.ContinuousAt
+#align has_strict_fderiv_at.continuous_at HasStrictFDerivAt.continuousAt
+
+/- warning: has_strict_fderiv_at.is_O_sub_rev -> HasStrictFDerivAt.isBigO_sub_rev is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} {f' : ContinuousLinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f ((fun (a : Sort.{max (succ u2) (succ u3)}) (b : Sort.{max (succ u2) (succ u3)}) [self : HasLiftT.{max (succ u2) (succ u3), max (succ u2) (succ u3)} a b] => self.0) (ContinuousLinearEquiv.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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_inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearEquiv.ContinuousLinearMap.coe.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) f') x) -> (Asymptotics.IsBigO.{u2, u2, u3} (Prod.{u2, u2} E E) E F (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) (nhds.{u2} (Prod.{u2, u2} E E) (Prod.topologicalSpace.{u2, u2} E E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (Prod.mk.{u2, u2} E E x x)) (fun (p : Prod.{u2, u2} E E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) (Prod.fst.{u2, u2} E E p) (Prod.snd.{u2, u2} E E p)) (fun (p : Prod.{u2, u2} E E) => HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (f (Prod.fst.{u2, u2} E E p)) (f (Prod.snd.{u2, u2} E E p))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E} {f' : ContinuousLinearEquiv.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)}, (HasStrictFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (ContinuousLinearEquiv.toContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5) f') x) -> (Asymptotics.IsBigO.{u2, u2, u1} (Prod.{u2, u2} E E) E F (NormedAddCommGroup.toNorm.{u2} E _inst_2) (NormedAddCommGroup.toNorm.{u1} F _inst_4) (nhds.{u2} (Prod.{u2, u2} E E) (instTopologicalSpaceProd.{u2, u2} E E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (Prod.mk.{u2, u2} E E x x)) (fun (p : Prod.{u2, u2} E E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) (Prod.fst.{u2, u2} E E p) (Prod.snd.{u2, u2} E E p)) (fun (p : Prod.{u2, u2} E E) => HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (f (Prod.fst.{u2, u2} E E p)) (f (Prod.snd.{u2, u2} E E p))))
+Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.is_O_sub_rev HasStrictFDerivAt.isBigO_sub_revₓ'. -/
+theorem HasStrictFDerivAt.isBigO_sub_rev {f' : E ≃L[𝕜] F}
+    (hf : HasStrictFDerivAt f (f' : E →L[𝕜] F) x) :
     (fun p : E × E => p.1 - p.2) =O[𝓝 (x, x)] fun p : E × E => f p.1 - f p.2 :=
   ((f'.isBigO_comp_rev _ _).trans (hf.trans_isBigO (f'.isBigO_comp_rev _ _)).right_isBigO_add).congr
     (fun _ => rfl) fun _ => sub_add_cancel _ _
-#align has_strict_fderiv_at.is_O_sub_rev HasStrictFderivAt.isBigO_sub_rev
-
-theorem HasFderivAtFilter.isBigO_sub_rev (hf : HasFderivAtFilter f f' x L) {C}
+#align has_strict_fderiv_at.is_O_sub_rev HasStrictFDerivAt.isBigO_sub_rev
+
+/- warning: has_fderiv_at_filter.is_O_sub_rev -> HasFDerivAtFilter.isBigO_sub_rev is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {L : Filter.{u2} E}, (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L) -> (forall {C : NNReal}, (AntilipschitzWith.{u2, u3} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (PseudoMetricSpace.toPseudoEMetricSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) C (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f')) -> (Asymptotics.IsBigO.{u2, u2, u3} E E F (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) L (fun (x' : E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x) (fun (x' : E) => HSub.hSub.{u3, u3, u3} F F F (instHSub.{u3} F (SubNegMonoid.toHasSub.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4))))) (f x') (f x))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {L : Filter.{u2} E}, (HasFDerivAtFilter.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L) -> (forall {C : NNReal}, (AntilipschitzWith.{u2, u1} E F (EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))) (EMetricSpace.toPseudoEMetricSpace.{u1} F (MetricSpace.toEMetricSpace.{u1} F (NormedAddCommGroup.toMetricSpace.{u1} F _inst_4))) C (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u3, u3, u2, u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) f')) -> (Asymptotics.IsBigO.{u2, u2, u1} E E F (NormedAddCommGroup.toNorm.{u2} E _inst_2) (NormedAddCommGroup.toNorm.{u1} F _inst_4) L (fun (x' : E) => HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) x' x) (fun (x' : E) => HSub.hSub.{u1, u1, u1} F F F (instHSub.{u1} F (SubNegMonoid.toSub.{u1} F (AddGroup.toSubNegMonoid.{u1} F (NormedAddGroup.toAddGroup.{u1} F (NormedAddCommGroup.toNormedAddGroup.{u1} F _inst_4))))) (f x') (f x))))
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at_filter.is_O_sub_rev HasFDerivAtFilter.isBigO_sub_revₓ'. -/
+theorem HasFDerivAtFilter.isBigO_sub_rev (hf : HasFDerivAtFilter f f' x L) {C}
     (hf' : AntilipschitzWith C f') : (fun x' => x' - x) =O[L] fun x' => f x' - f x :=
   have : (fun x' => x' - x) =O[L] fun x' => f' (x' - x) :=
     isBigO_iff.2
       ⟨C, eventually_of_forall fun x' => AddMonoidHomClass.bound_of_antilipschitz f' hf' _⟩
   (this.trans (hf.trans_isBigO this).right_isBigO_add).congr (fun _ => rfl) fun _ =>
     sub_add_cancel _ _
-#align has_fderiv_at_filter.is_O_sub_rev HasFderivAtFilter.isBigO_sub_rev
+#align has_fderiv_at_filter.is_O_sub_rev HasFDerivAtFilter.isBigO_sub_rev
 
 end Continuous
 
@@ -820,129 +1352,273 @@ section congr
 /-! ### congr properties of the derivative -/
 
 
-theorem Filter.EventuallyEq.hasStrictFderivAt_iff (h : f₀ =ᶠ[𝓝 x] f₁) (h' : ∀ y, f₀' y = f₁' y) :
-    HasStrictFderivAt f₀ f₀' x ↔ HasStrictFderivAt f₁ f₁' x :=
+/- warning: filter.eventually_eq.has_strict_fderiv_at_iff -> Filter.EventuallyEq.hasStrictFDerivAt_iff is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {f₀' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (Filter.EventuallyEq.{u2, u3} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₀ f₁) -> (forall (y : E), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, 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(SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 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(NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f₀' y) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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_inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f₁' y)) -> (Iff (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ f₀' x) (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f₁' x))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {f₀' : ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)} {x : E}, (Filter.EventuallyEq.{u3, u2} E F (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) f₀ f₁) -> (forall (y : E), Eq.{succ u2} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u2, u3, u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 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_inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u2, u1, u1, u3, u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))) f₁' y)) -> (Iff (HasStrictFDerivAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ f₀' x) (HasStrictFDerivAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f₁' x))
+Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.has_strict_fderiv_at_iff Filter.EventuallyEq.hasStrictFDerivAt_iffₓ'. -/
+theorem Filter.EventuallyEq.hasStrictFDerivAt_iff (h : f₀ =ᶠ[𝓝 x] f₁) (h' : ∀ y, f₀' y = f₁' y) :
+    HasStrictFDerivAt f₀ f₀' x ↔ HasStrictFDerivAt f₁ f₁' x :=
   by
   refine' is_o_congr ((h.prod_mk_nhds h).mono _) (eventually_of_forall fun _ => rfl)
   rintro p ⟨hp₁, hp₂⟩
   simp only [*]
-#align filter.eventually_eq.has_strict_fderiv_at_iff Filter.EventuallyEq.hasStrictFderivAt_iff
-
-theorem HasStrictFderivAt.congr_of_eventuallyEq (h : HasStrictFderivAt f f' x) (h₁ : f =ᶠ[𝓝 x] f₁) :
-    HasStrictFderivAt f₁ f' x :=
-  (h₁.hasStrictFderivAt_iff fun _ => rfl).1 h
-#align has_strict_fderiv_at.congr_of_eventually_eq HasStrictFderivAt.congr_of_eventuallyEq
-
-theorem Filter.EventuallyEq.hasFderivAtFilter_iff (h₀ : f₀ =ᶠ[L] f₁) (hx : f₀ x = f₁ x)
-    (h₁ : ∀ x, f₀' x = f₁' x) : HasFderivAtFilter f₀ f₀' x L ↔ HasFderivAtFilter f₁ f₁' x L :=
+#align filter.eventually_eq.has_strict_fderiv_at_iff Filter.EventuallyEq.hasStrictFDerivAt_iff
+
+/- warning: has_strict_fderiv_at.congr_of_eventually_eq -> HasStrictFDerivAt.congr_of_eventuallyEq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (Filter.EventuallyEq.{u2, u3} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f f₁) -> (HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasStrictFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (Filter.EventuallyEq.{u2, u1} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f f₁) -> (HasStrictFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' x)
+Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at.congr_of_eventually_eq HasStrictFDerivAt.congr_of_eventuallyEqₓ'. -/
+theorem HasStrictFDerivAt.congr_of_eventuallyEq (h : HasStrictFDerivAt f f' x) (h₁ : f =ᶠ[𝓝 x] f₁) :
+    HasStrictFDerivAt f₁ f' x :=
+  (h₁.hasStrictFDerivAt_iff fun _ => rfl).1 h
+#align has_strict_fderiv_at.congr_of_eventually_eq HasStrictFDerivAt.congr_of_eventuallyEq
+
+/- warning: filter.eventually_eq.has_fderiv_at_filter_iff -> Filter.EventuallyEq.hasFDerivAtFilter_iff is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {f₀' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {L : Filter.{u2} E}, (Filter.EventuallyEq.{u2, u3} E F L f₀ f₁) -> (Eq.{succ u3} F (f₀ x) (f₁ x)) -> (forall (x : E), Eq.{succ u3} F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, 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(SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f₀' x) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, 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(AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) f₁' x)) -> (Iff (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ f₀' x L) (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f₁' x L))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {f₀' : ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)} {f₁' : ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E 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(PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))) f₁' x)) -> (Iff (HasFDerivAtFilter.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ f₀' x L) (HasFDerivAtFilter.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f₁' x L))
+Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.has_fderiv_at_filter_iff Filter.EventuallyEq.hasFDerivAtFilter_iffₓ'. -/
+theorem Filter.EventuallyEq.hasFDerivAtFilter_iff (h₀ : f₀ =ᶠ[L] f₁) (hx : f₀ x = f₁ x)
+    (h₁ : ∀ x, f₀' x = f₁' x) : HasFDerivAtFilter f₀ f₀' x L ↔ HasFDerivAtFilter f₁ f₁' x L :=
   isLittleO_congr (h₀.mono fun y hy => by simp only [hy, h₁, hx])
     (eventually_of_forall fun _ => rfl)
-#align filter.eventually_eq.has_fderiv_at_filter_iff Filter.EventuallyEq.hasFderivAtFilter_iff
-
-theorem HasFderivAtFilter.congr_of_eventuallyEq (h : HasFderivAtFilter f f' x L) (hL : f₁ =ᶠ[L] f)
-    (hx : f₁ x = f x) : HasFderivAtFilter f₁ f' x L :=
-  (hL.hasFderivAtFilter_iff hx fun _ => rfl).2 h
-#align has_fderiv_at_filter.congr_of_eventually_eq HasFderivAtFilter.congr_of_eventuallyEq
-
-theorem Filter.EventuallyEq.hasFderivAt_iff (h : f₀ =ᶠ[𝓝 x] f₁) :
-    HasFderivAt f₀ f' x ↔ HasFderivAt f₁ f' x :=
-  h.hasFderivAtFilter_iff h.eq_of_nhds fun _ => rfl
-#align filter.eventually_eq.has_fderiv_at_iff Filter.EventuallyEq.hasFderivAt_iff
-
+#align filter.eventually_eq.has_fderiv_at_filter_iff Filter.EventuallyEq.hasFDerivAtFilter_iff
+
+/- warning: has_fderiv_at_filter.congr_of_eventually_eq -> HasFDerivAtFilter.congr_of_eventuallyEq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {L : Filter.{u2} E}, (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L) -> (Filter.EventuallyEq.{u2, u3} E F L f₁ f) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' x L)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {L : Filter.{u2} E}, (HasFDerivAtFilter.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x L) -> (Filter.EventuallyEq.{u2, u1} E F L f₁ f) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (HasFDerivAtFilter.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' x L)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at_filter.congr_of_eventually_eq HasFDerivAtFilter.congr_of_eventuallyEqₓ'. -/
+theorem HasFDerivAtFilter.congr_of_eventuallyEq (h : HasFDerivAtFilter f f' x L) (hL : f₁ =ᶠ[L] f)
+    (hx : f₁ x = f x) : HasFDerivAtFilter f₁ f' x L :=
+  (hL.hasFDerivAtFilter_iff hx fun _ => rfl).2 h
+#align has_fderiv_at_filter.congr_of_eventually_eq HasFDerivAtFilter.congr_of_eventuallyEq
+
+/- warning: filter.eventually_eq.has_fderiv_at_iff -> Filter.EventuallyEq.hasFDerivAt_iff is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (Filter.EventuallyEq.{u2, u3} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₀ f₁) -> (Iff (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ f' x) (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' x))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)} {x : E}, (Filter.EventuallyEq.{u3, u2} E F (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) f₀ f₁) -> (Iff (HasFDerivAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ f' x) (HasFDerivAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' x))
+Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.has_fderiv_at_iff Filter.EventuallyEq.hasFDerivAt_iffₓ'. -/
+theorem Filter.EventuallyEq.hasFDerivAt_iff (h : f₀ =ᶠ[𝓝 x] f₁) :
+    HasFDerivAt f₀ f' x ↔ HasFDerivAt f₁ f' x :=
+  h.hasFDerivAtFilter_iff h.eq_of_nhds fun _ => rfl
+#align filter.eventually_eq.has_fderiv_at_iff Filter.EventuallyEq.hasFDerivAt_iff
+
+/- warning: filter.eventually_eq.differentiable_at_iff -> Filter.EventuallyEq.differentiableAt_iff is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {x : E}, (Filter.EventuallyEq.{u2, u3} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₀ f₁) -> (Iff (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ x) (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ x))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {x : E}, (Filter.EventuallyEq.{u3, u2} E F (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) f₀ f₁) -> (Iff (DifferentiableAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ x) (DifferentiableAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ x))
+Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.differentiable_at_iff Filter.EventuallyEq.differentiableAt_iffₓ'. -/
 theorem Filter.EventuallyEq.differentiableAt_iff (h : f₀ =ᶠ[𝓝 x] f₁) :
     DifferentiableAt 𝕜 f₀ x ↔ DifferentiableAt 𝕜 f₁ x :=
-  exists_congr fun f' => h.hasFderivAt_iff
+  exists_congr fun f' => h.hasFDerivAt_iff
 #align filter.eventually_eq.differentiable_at_iff Filter.EventuallyEq.differentiableAt_iff
 
-theorem Filter.EventuallyEq.hasFderivWithinAt_iff (h : f₀ =ᶠ[𝓝[s] x] f₁) (hx : f₀ x = f₁ x) :
-    HasFderivWithinAt f₀ f' s x ↔ HasFderivWithinAt f₁ f' s x :=
-  h.hasFderivAtFilter_iff hx fun _ => rfl
-#align filter.eventually_eq.has_fderiv_within_at_iff Filter.EventuallyEq.hasFderivWithinAt_iff
-
-theorem Filter.EventuallyEq.hasFderivWithinAt_iff_of_mem (h : f₀ =ᶠ[𝓝[s] x] f₁) (hx : x ∈ s) :
-    HasFderivWithinAt f₀ f' s x ↔ HasFderivWithinAt f₁ f' s x :=
-  h.hasFderivWithinAt_iff (h.eq_of_nhdsWithin hx)
-#align filter.eventually_eq.has_fderiv_within_at_iff_of_mem Filter.EventuallyEq.hasFderivWithinAt_iff_of_mem
-
+/- warning: filter.eventually_eq.has_fderiv_within_at_iff -> Filter.EventuallyEq.hasFDerivWithinAt_iff is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (Filter.EventuallyEq.{u2, u3} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₀ f₁) -> (Eq.{succ u3} F (f₀ x) (f₁ x)) -> (Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ f' s x) (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)} {x : E} {s : Set.{u3} E}, (Filter.EventuallyEq.{u3, u2} E F (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s) f₀ f₁) -> (Eq.{succ u2} F (f₀ x) (f₁ x)) -> (Iff (HasFDerivWithinAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ f' s x) (HasFDerivWithinAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x))
+Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.has_fderiv_within_at_iff Filter.EventuallyEq.hasFDerivWithinAt_iffₓ'. -/
+theorem Filter.EventuallyEq.hasFDerivWithinAt_iff (h : f₀ =ᶠ[𝓝[s] x] f₁) (hx : f₀ x = f₁ x) :
+    HasFDerivWithinAt f₀ f' s x ↔ HasFDerivWithinAt f₁ f' s x :=
+  h.hasFDerivAtFilter_iff hx fun _ => rfl
+#align filter.eventually_eq.has_fderiv_within_at_iff Filter.EventuallyEq.hasFDerivWithinAt_iff
+
+/- warning: filter.eventually_eq.has_fderiv_within_at_iff_of_mem -> Filter.EventuallyEq.hasFDerivWithinAt_iff_of_mem is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (Filter.EventuallyEq.{u2, u3} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₀ f₁) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Iff (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ f' s x) (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)} {x : E} {s : Set.{u3} E}, (Filter.EventuallyEq.{u3, u2} E F (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s) f₀ f₁) -> (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x s) -> (Iff (HasFDerivWithinAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ f' s x) (HasFDerivWithinAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x))
+Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.has_fderiv_within_at_iff_of_mem Filter.EventuallyEq.hasFDerivWithinAt_iff_of_memₓ'. -/
+theorem Filter.EventuallyEq.hasFDerivWithinAt_iff_of_mem (h : f₀ =ᶠ[𝓝[s] x] f₁) (hx : x ∈ s) :
+    HasFDerivWithinAt f₀ f' s x ↔ HasFDerivWithinAt f₁ f' s x :=
+  h.hasFDerivWithinAt_iff (h.eq_of_nhdsWithin hx)
+#align filter.eventually_eq.has_fderiv_within_at_iff_of_mem Filter.EventuallyEq.hasFDerivWithinAt_iff_of_mem
+
+/- warning: filter.eventually_eq.differentiable_within_at_iff -> Filter.EventuallyEq.differentiableWithinAt_iff is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (Filter.EventuallyEq.{u2, u3} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₀ f₁) -> (Eq.{succ u3} F (f₀ x) (f₁ x)) -> (Iff (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ s x) (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u3} E}, (Filter.EventuallyEq.{u3, u2} E F (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s) f₀ f₁) -> (Eq.{succ u2} F (f₀ x) (f₁ x)) -> (Iff (DifferentiableWithinAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ s x) (DifferentiableWithinAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x))
+Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.differentiable_within_at_iff Filter.EventuallyEq.differentiableWithinAt_iffₓ'. -/
 theorem Filter.EventuallyEq.differentiableWithinAt_iff (h : f₀ =ᶠ[𝓝[s] x] f₁) (hx : f₀ x = f₁ x) :
     DifferentiableWithinAt 𝕜 f₀ s x ↔ DifferentiableWithinAt 𝕜 f₁ s x :=
-  exists_congr fun f' => h.hasFderivWithinAt_iff hx
+  exists_congr fun f' => h.hasFDerivWithinAt_iff hx
 #align filter.eventually_eq.differentiable_within_at_iff Filter.EventuallyEq.differentiableWithinAt_iff
 
+/- warning: filter.eventually_eq.differentiable_within_at_iff_of_mem -> Filter.EventuallyEq.differentiableWithinAt_iff_of_mem is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (Filter.EventuallyEq.{u2, u3} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₀ f₁) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Iff (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ s x) (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f₀ : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u3} E}, (Filter.EventuallyEq.{u3, u2} E F (nhdsWithin.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x s) f₀ f₁) -> (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x s) -> (Iff (DifferentiableWithinAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₀ s x) (DifferentiableWithinAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x))
+Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.differentiable_within_at_iff_of_mem Filter.EventuallyEq.differentiableWithinAt_iff_of_memₓ'. -/
 theorem Filter.EventuallyEq.differentiableWithinAt_iff_of_mem (h : f₀ =ᶠ[𝓝[s] x] f₁) (hx : x ∈ s) :
     DifferentiableWithinAt 𝕜 f₀ s x ↔ DifferentiableWithinAt 𝕜 f₁ s x :=
   h.differentiableWithinAt_iff (h.eq_of_nhdsWithin hx)
 #align filter.eventually_eq.differentiable_within_at_iff_of_mem Filter.EventuallyEq.differentiableWithinAt_iff_of_mem
 
-theorem HasFderivWithinAt.congr_mono (h : HasFderivWithinAt f f' s x) (ht : ∀ x ∈ t, f₁ x = f x)
-    (hx : f₁ x = f x) (h₁ : t ⊆ s) : HasFderivWithinAt f₁ f' t x :=
-  HasFderivAtFilter.congr_of_eventuallyEq (h.mono h₁) (Filter.mem_inf_of_right ht) hx
-#align has_fderiv_within_at.congr_mono HasFderivWithinAt.congr_mono
-
-theorem HasFderivWithinAt.congr (h : HasFderivWithinAt f f' s x) (hs : ∀ x ∈ s, f₁ x = f x)
-    (hx : f₁ x = f x) : HasFderivWithinAt f₁ f' s x :=
+/- warning: has_fderiv_within_at.congr_mono -> HasFDerivWithinAt.congr_mono is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x t) -> (Eq.{succ u3} F (f₁ x) (f x))) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) t s) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' t x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x t) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) t s) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' t x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.congr_mono HasFDerivWithinAt.congr_monoₓ'. -/
+theorem HasFDerivWithinAt.congr_mono (h : HasFDerivWithinAt f f' s x) (ht : ∀ x ∈ t, f₁ x = f x)
+    (hx : f₁ x = f x) (h₁ : t ⊆ s) : HasFDerivWithinAt f₁ f' t x :=
+  HasFDerivAtFilter.congr_of_eventuallyEq (h.mono h₁) (Filter.mem_inf_of_right ht) hx
+#align has_fderiv_within_at.congr_mono HasFDerivWithinAt.congr_mono
+
+/- warning: has_fderiv_within_at.congr -> HasFDerivWithinAt.congr is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Eq.{succ u3} F (f₁ x) (f x))) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.congr HasFDerivWithinAt.congrₓ'. -/
+theorem HasFDerivWithinAt.congr (h : HasFDerivWithinAt f f' s x) (hs : ∀ x ∈ s, f₁ x = f x)
+    (hx : f₁ x = f x) : HasFDerivWithinAt f₁ f' s x :=
   h.congr_mono hs hx (Subset.refl _)
-#align has_fderiv_within_at.congr HasFderivWithinAt.congr
-
-theorem HasFderivWithinAt.congr' (h : HasFderivWithinAt f f' s x) (hs : ∀ x ∈ s, f₁ x = f x)
-    (hx : x ∈ s) : HasFderivWithinAt f₁ f' s x :=
+#align has_fderiv_within_at.congr HasFDerivWithinAt.congr
+
+/- warning: has_fderiv_within_at.congr' -> HasFDerivWithinAt.congr' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Eq.{succ u3} F (f₁ x) (f x))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.congr' HasFDerivWithinAt.congr'ₓ'. -/
+theorem HasFDerivWithinAt.congr' (h : HasFDerivWithinAt f f' s x) (hs : ∀ x ∈ s, f₁ x = f x)
+    (hx : x ∈ s) : HasFDerivWithinAt f₁ f' s x :=
   h.congr hs (hs x hx)
-#align has_fderiv_within_at.congr' HasFderivWithinAt.congr'
-
-theorem HasFderivWithinAt.congr_of_eventuallyEq (h : HasFderivWithinAt f f' s x)
-    (h₁ : f₁ =ᶠ[𝓝[s] x] f) (hx : f₁ x = f x) : HasFderivWithinAt f₁ f' s x :=
-  HasFderivAtFilter.congr_of_eventuallyEq h h₁ hx
-#align has_fderiv_within_at.congr_of_eventually_eq HasFderivWithinAt.congr_of_eventuallyEq
-
-theorem HasFderivAt.congr_of_eventuallyEq (h : HasFderivAt f f' x) (h₁ : f₁ =ᶠ[𝓝 x] f) :
-    HasFderivAt f₁ f' x :=
-  HasFderivAtFilter.congr_of_eventuallyEq h h₁ (mem_of_mem_nhds h₁ : _)
-#align has_fderiv_at.congr_of_eventually_eq HasFderivAt.congr_of_eventuallyEq
-
+#align has_fderiv_within_at.congr' HasFDerivWithinAt.congr'
+
+/- warning: has_fderiv_within_at.congr_of_eventually_eq -> HasFDerivWithinAt.congr_of_eventuallyEq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Filter.EventuallyEq.{u2, u3} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E} {s : Set.{u2} E}, (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' s x) -> (Filter.EventuallyEq.{u2, u1} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' s x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at.congr_of_eventually_eq HasFDerivWithinAt.congr_of_eventuallyEqₓ'. -/
+theorem HasFDerivWithinAt.congr_of_eventuallyEq (h : HasFDerivWithinAt f f' s x)
+    (h₁ : f₁ =ᶠ[𝓝[s] x] f) (hx : f₁ x = f x) : HasFDerivWithinAt f₁ f' s x :=
+  HasFDerivAtFilter.congr_of_eventuallyEq h h₁ hx
+#align has_fderiv_within_at.congr_of_eventually_eq HasFDerivWithinAt.congr_of_eventuallyEq
+
+/- warning: has_fderiv_at.congr_of_eventually_eq -> HasFDerivAt.congr_of_eventuallyEq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (Filter.EventuallyEq.{u2, u3} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₁ f) -> (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {f' : ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)} {x : E}, (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f f' x) -> (Filter.EventuallyEq.{u2, u1} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₁ f) -> (HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ f' x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at.congr_of_eventually_eq HasFDerivAt.congr_of_eventuallyEqₓ'. -/
+theorem HasFDerivAt.congr_of_eventuallyEq (h : HasFDerivAt f f' x) (h₁ : f₁ =ᶠ[𝓝 x] f) :
+    HasFDerivAt f₁ f' x :=
+  HasFDerivAtFilter.congr_of_eventuallyEq h h₁ (mem_of_mem_nhds h₁ : _)
+#align has_fderiv_at.congr_of_eventually_eq HasFDerivAt.congr_of_eventuallyEq
+
+/- warning: differentiable_within_at.congr_mono -> DifferentiableWithinAt.congr_mono is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x t) -> (Eq.{succ u3} F (f₁ x) (f x))) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) t s) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x t) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) t s) -> (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t x)
+Case conversion may be inaccurate. Consider using '#align differentiable_within_at.congr_mono DifferentiableWithinAt.congr_monoₓ'. -/
 theorem DifferentiableWithinAt.congr_mono (h : DifferentiableWithinAt 𝕜 f s x)
     (ht : ∀ x ∈ t, f₁ x = f x) (hx : f₁ x = f x) (h₁ : t ⊆ s) : DifferentiableWithinAt 𝕜 f₁ t x :=
-  (HasFderivWithinAt.congr_mono h.HasFderivWithinAt ht hx h₁).DifferentiableWithinAt
+  (HasFDerivWithinAt.congr_mono h.HasFDerivWithinAt ht hx h₁).DifferentiableWithinAt
 #align differentiable_within_at.congr_mono DifferentiableWithinAt.congr_mono
 
+/- warning: differentiable_within_at.congr -> DifferentiableWithinAt.congr is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Eq.{succ u3} F (f₁ x) (f x))) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x)
+Case conversion may be inaccurate. Consider using '#align differentiable_within_at.congr DifferentiableWithinAt.congrₓ'. -/
 theorem DifferentiableWithinAt.congr (h : DifferentiableWithinAt 𝕜 f s x) (ht : ∀ x ∈ s, f₁ x = f x)
     (hx : f₁ x = f x) : DifferentiableWithinAt 𝕜 f₁ s x :=
   DifferentiableWithinAt.congr_mono h ht hx (Subset.refl _)
 #align differentiable_within_at.congr DifferentiableWithinAt.congr
 
+/- warning: differentiable_within_at.congr_of_eventually_eq -> DifferentiableWithinAt.congr_of_eventuallyEq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (Filter.EventuallyEq.{u2, u3} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (Filter.EventuallyEq.{u2, u1} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x)
+Case conversion may be inaccurate. Consider using '#align differentiable_within_at.congr_of_eventually_eq DifferentiableWithinAt.congr_of_eventuallyEqₓ'. -/
 theorem DifferentiableWithinAt.congr_of_eventuallyEq (h : DifferentiableWithinAt 𝕜 f s x)
     (h₁ : f₁ =ᶠ[𝓝[s] x] f) (hx : f₁ x = f x) : DifferentiableWithinAt 𝕜 f₁ s x :=
-  (h.HasFderivWithinAt.congr_of_eventuallyEq h₁ hx).DifferentiableWithinAt
+  (h.HasFDerivWithinAt.congr_of_eventuallyEq h₁ hx).DifferentiableWithinAt
 #align differentiable_within_at.congr_of_eventually_eq DifferentiableWithinAt.congr_of_eventuallyEq
 
+/- warning: differentiable_on.congr_mono -> DifferentiableOn.congr_mono is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x t) -> (Eq.{succ u3} F (f₁ x) (f x))) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) t s) -> (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x t) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) t s) -> (DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t)
+Case conversion may be inaccurate. Consider using '#align differentiable_on.congr_mono DifferentiableOn.congr_monoₓ'. -/
 theorem DifferentiableOn.congr_mono (h : DifferentiableOn 𝕜 f s) (h' : ∀ x ∈ t, f₁ x = f x)
     (h₁ : t ⊆ s) : DifferentiableOn 𝕜 f₁ t := fun x hx => (h x (h₁ hx)).congr_mono h' (h' x hx) h₁
 #align differentiable_on.congr_mono DifferentiableOn.congr_mono
 
+/- warning: differentiable_on.congr -> DifferentiableOn.congr is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {s : Set.{u2} E}, (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Eq.{succ u3} F (f₁ x) (f x))) -> (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {s : Set.{u2} E}, (DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s)
+Case conversion may be inaccurate. Consider using '#align differentiable_on.congr DifferentiableOn.congrₓ'. -/
 theorem DifferentiableOn.congr (h : DifferentiableOn 𝕜 f s) (h' : ∀ x ∈ s, f₁ x = f x) :
     DifferentiableOn 𝕜 f₁ s := fun x hx => (h x hx).congr h' (h' x hx)
 #align differentiable_on.congr DifferentiableOn.congr
 
+/- warning: differentiable_on_congr -> differentiableOn_congr is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {s : Set.{u2} E}, (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Eq.{succ u3} F (f₁ x) (f x))) -> (Iff (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s) (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {f₁ : E -> F} {s : Set.{u3} E}, (forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x s) -> (Eq.{succ u2} F (f₁ x) (f x))) -> (Iff (DifferentiableOn.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s) (DifferentiableOn.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s))
+Case conversion may be inaccurate. Consider using '#align differentiable_on_congr differentiableOn_congrₓ'. -/
 theorem differentiableOn_congr (h' : ∀ x ∈ s, f₁ x = f x) :
     DifferentiableOn 𝕜 f₁ s ↔ DifferentiableOn 𝕜 f s :=
   ⟨fun h => DifferentiableOn.congr h fun y hy => (h' y hy).symm, fun h =>
     DifferentiableOn.congr h h'⟩
 #align differentiable_on_congr differentiableOn_congr
 
+/- warning: differentiable_at.congr_of_eventually_eq -> DifferentiableAt.congr_of_eventuallyEq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E}, (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (Filter.EventuallyEq.{u2, u3} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₁ f) -> (DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E}, (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x) -> (Filter.EventuallyEq.{u2, u1} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₁ f) -> (DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ x)
+Case conversion may be inaccurate. Consider using '#align differentiable_at.congr_of_eventually_eq DifferentiableAt.congr_of_eventuallyEqₓ'. -/
 theorem DifferentiableAt.congr_of_eventuallyEq (h : DifferentiableAt 𝕜 f x) (hL : f₁ =ᶠ[𝓝 x] f) :
     DifferentiableAt 𝕜 f₁ x :=
   hL.differentiableAt_iff.2 h
 #align differentiable_at.congr_of_eventually_eq DifferentiableAt.congr_of_eventuallyEq
 
+/- warning: differentiable_within_at.fderiv_within_congr_mono -> DifferentiableWithinAt.fderivWithin_congr_mono is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (forall (x : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x t) -> (Eq.{succ u3} F (f₁ x) (f x))) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) t x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) t s) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E} {t : Set.{u2} E}, (DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x) -> (forall (x : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x t) -> (Eq.{succ u1} F (f₁ x) (f x))) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) t x) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.instHasSubsetSet.{u2} E) t s) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ t x) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+Case conversion may be inaccurate. Consider using '#align differentiable_within_at.fderiv_within_congr_mono DifferentiableWithinAt.fderivWithin_congr_monoₓ'. -/
 theorem DifferentiableWithinAt.fderivWithin_congr_mono (h : DifferentiableWithinAt 𝕜 f s x)
     (hs : ∀ x ∈ t, f₁ x = f x) (hx : f₁ x = f x) (hxt : UniqueDiffWithinAt 𝕜 t x) (h₁ : t ⊆ s) :
     fderivWithin 𝕜 f₁ t x = fderivWithin 𝕜 f s x :=
-  (HasFderivWithinAt.congr_mono h.HasFderivWithinAt hs hx h₁).fderivWithin hxt
+  (HasFDerivWithinAt.congr_mono h.HasFDerivWithinAt hs hx h₁).fderivWithin hxt
 #align differentiable_within_at.fderiv_within_congr_mono DifferentiableWithinAt.fderivWithin_congr_mono
 
+/- warning: filter.eventually_eq.fderiv_within_eq -> Filter.EventuallyEq.fderivWithin_eq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Filter.EventuallyEq.{u2, u3} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Filter.EventuallyEq.{u2, u1} E F (nhdsWithin.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x s) f₁ f) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_within_eq Filter.EventuallyEq.fderivWithin_eqₓ'. -/
 theorem Filter.EventuallyEq.fderivWithin_eq (hs : UniqueDiffWithinAt 𝕜 s x) (hL : f₁ =ᶠ[𝓝[s] x] f)
     (hx : f₁ x = f x) : fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
   if h : DifferentiableWithinAt 𝕜 f s x then
-    HasFderivWithinAt.fderivWithin (h.HasFderivWithinAt.congr_of_eventuallyEq hL hx) hs
+    HasFDerivWithinAt.fderivWithin (h.HasFDerivWithinAt.congr_of_eventuallyEq hL hx) hs
   else
     by
     have h' : ¬DifferentiableWithinAt 𝕜 f₁ s x :=
@@ -951,11 +1627,23 @@ theorem Filter.EventuallyEq.fderivWithin_eq (hs : UniqueDiffWithinAt 𝕜 s x) (
       fderivWithin_zero_of_not_differentiableWithinAt h']
 #align filter.eventually_eq.fderiv_within_eq Filter.EventuallyEq.fderivWithin_eq
 
+/- warning: filter.eventually_eq.fderiv_within_eq_nhds -> Filter.EventuallyEq.fderivWithin_eq_nhds is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Filter.EventuallyEq.{u2, u3} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₁ f) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Filter.EventuallyEq.{u2, u1} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₁ f) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_within_eq_nhds Filter.EventuallyEq.fderivWithin_eq_nhdsₓ'. -/
 theorem Filter.EventuallyEq.fderivWithin_eq_nhds (hs : UniqueDiffWithinAt 𝕜 s x)
     (hL : f₁ =ᶠ[𝓝 x] f) : fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
   (show f₁ =ᶠ[𝓝[s] x] f from nhdsWithin_le_nhds hL).fderivWithin_eq hs (mem_of_mem_nhds hL : _)
 #align filter.eventually_eq.fderiv_within_eq_nhds Filter.EventuallyEq.fderivWithin_eq_nhds
 
+/- warning: fderiv_within_congr -> fderivWithin_congr is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (forall (y : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (Eq.{succ u3} F (f₁ y) (f y))) -> (Eq.{succ u3} F (f₁ x) (f x)) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (forall (y : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) -> (Eq.{succ u1} F (f₁ y) (f y))) -> (Eq.{succ u1} F (f₁ x) (f x)) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_congr fderivWithin_congrₓ'. -/
 theorem fderivWithin_congr (hs : UniqueDiffWithinAt 𝕜 s x) (hL : ∀ y ∈ s, f₁ y = f y)
     (hx : f₁ x = f x) : fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
   by
@@ -964,11 +1652,23 @@ theorem fderivWithin_congr (hs : UniqueDiffWithinAt 𝕜 s x) (hL : ∀ y ∈ s,
   exact hL
 #align fderiv_within_congr fderivWithin_congr
 
+/- warning: fderiv_within_congr' -> fderivWithin_congr' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (forall (y : E), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y s) -> (Eq.{succ u3} F (f₁ y) (f y))) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x s) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (forall (y : E), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y s) -> (Eq.{succ u1} F (f₁ y) (f y))) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x s) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ s x) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s x))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_congr' fderivWithin_congr'ₓ'. -/
 theorem fderivWithin_congr' (hs : UniqueDiffWithinAt 𝕜 s x) (hL : ∀ y ∈ s, f₁ y = f y)
     (hx : x ∈ s) : fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
   fderivWithin_congr hs hL (hL x hx)
 #align fderiv_within_congr' fderivWithin_congr'
 
+/- warning: filter.eventually_eq.fderiv_eq -> Filter.EventuallyEq.fderiv_eq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E}, (Filter.EventuallyEq.{u2, u3} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₁ f) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ x) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E}, (Filter.EventuallyEq.{u3, u2} E F (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) f₁ f) -> (Eq.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁ x) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f x))
+Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv_eq Filter.EventuallyEq.fderiv_eqₓ'. -/
 theorem Filter.EventuallyEq.fderiv_eq (hL : f₁ =ᶠ[𝓝 x] f) : fderiv 𝕜 f₁ x = fderiv 𝕜 f x :=
   by
   have A : f₁ x = f x := hL.eq_of_nhds
@@ -977,6 +1677,12 @@ theorem Filter.EventuallyEq.fderiv_eq (hL : f₁ =ᶠ[𝓝 x] f) : fderiv 𝕜 f
   exact hL.fderiv_within_eq uniqueDiffWithinAt_univ A
 #align filter.eventually_eq.fderiv_eq Filter.EventuallyEq.fderiv_eq
 
+/- warning: filter.eventually_eq.fderiv -> Filter.EventuallyEq.fderiv is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E}, (Filter.EventuallyEq.{u2, u3} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f₁ f) -> (Filter.EventuallyEq.{u2, max u2 u3} E (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {f₁ : E -> F} {x : E}, (Filter.EventuallyEq.{u3, u2} E F (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) f₁ f) -> (Filter.EventuallyEq.{u3, max u3 u2} E (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f₁) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
+Case conversion may be inaccurate. Consider using '#align filter.eventually_eq.fderiv Filter.EventuallyEq.fderivₓ'. -/
 protected theorem Filter.EventuallyEq.fderiv (h : f₁ =ᶠ[𝓝 x] f) : fderiv 𝕜 f₁ =ᶠ[𝓝 x] fderiv 𝕜 f :=
   h.eventuallyEq_nhds.mono fun x h => h.fderiv_eq
 #align filter.eventually_eq.fderiv Filter.EventuallyEq.fderiv
@@ -988,63 +1694,131 @@ section id
 /-! ### Derivative of the identity -/
 
 
-theorem hasStrictFderivAt_id (x : E) : HasStrictFderivAt id (id 𝕜 E) x :=
+/- warning: has_strict_fderiv_at_id -> hasStrictFDerivAt_id is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] (x : E), HasStrictFDerivAt.{u1, u2, u2} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (id.{succ u2} E) (ContinuousLinearMap.id.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) x
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u1}} [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : NormedSpace.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)] (x : E), HasStrictFDerivAt.{u2, u1, u1} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (id.{succ u1} E) (ContinuousLinearMap.id.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) _inst_3)) x
+Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at_id hasStrictFDerivAt_idₓ'. -/
+theorem hasStrictFDerivAt_id (x : E) : HasStrictFDerivAt id (id 𝕜 E) x :=
   (isLittleO_zero _ _).congr_left <| by simp
-#align has_strict_fderiv_at_id hasStrictFderivAt_id
+#align has_strict_fderiv_at_id hasStrictFDerivAt_id
 
-theorem hasFderivAtFilter_id (x : E) (L : Filter E) : HasFderivAtFilter id (id 𝕜 E) x L :=
+#print hasFDerivAtFilter_id /-
+theorem hasFDerivAtFilter_id (x : E) (L : Filter E) : HasFDerivAtFilter id (id 𝕜 E) x L :=
   (isLittleO_zero _ _).congr_left <| by simp
-#align has_fderiv_at_filter_id hasFderivAtFilter_id
-
-theorem hasFderivWithinAt_id (x : E) (s : Set E) : HasFderivWithinAt id (id 𝕜 E) s x :=
-  hasFderivAtFilter_id _ _
-#align has_fderiv_within_at_id hasFderivWithinAt_id
+#align has_fderiv_at_filter_id hasFDerivAtFilter_id
+-/
 
-theorem hasFderivAt_id (x : E) : HasFderivAt id (id 𝕜 E) x :=
-  hasFderivAtFilter_id _ _
-#align has_fderiv_at_id hasFderivAt_id
+#print hasFDerivWithinAt_id /-
+theorem hasFDerivWithinAt_id (x : E) (s : Set E) : HasFDerivWithinAt id (id 𝕜 E) s x :=
+  hasFDerivAtFilter_id _ _
+#align has_fderiv_within_at_id hasFDerivWithinAt_id
+-/
 
+/- warning: has_fderiv_at_id -> hasFDerivAt_id is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] (x : E), HasFDerivAt.{u1, u2, u2} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (id.{succ u2} E) (ContinuousLinearMap.id.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) x
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u1}} [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : NormedSpace.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)] (x : E), HasFDerivAt.{u2, u1, u1} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (id.{succ u1} E) (ContinuousLinearMap.id.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) _inst_3)) x
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at_id hasFDerivAt_idₓ'. -/
+theorem hasFDerivAt_id (x : E) : HasFDerivAt id (id 𝕜 E) x :=
+  hasFDerivAtFilter_id _ _
+#align has_fderiv_at_id hasFDerivAt_id
+
+/- warning: differentiable_at_id -> differentiableAt_id is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {x : E}, DifferentiableAt.{u1, u2, u2} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (id.{succ u2} E) x
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u1}} [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : NormedSpace.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)] {x : E}, DifferentiableAt.{u2, u1, u1} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (id.{succ u1} E) x
+Case conversion may be inaccurate. Consider using '#align differentiable_at_id differentiableAt_idₓ'. -/
 @[simp]
 theorem differentiableAt_id : DifferentiableAt 𝕜 id x :=
-  (hasFderivAt_id x).DifferentiableAt
+  (hasFDerivAt_id x).DifferentiableAt
 #align differentiable_at_id differentiableAt_id
 
+/- warning: differentiable_at_id' -> differentiableAt_id' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {x : E}, DifferentiableAt.{u1, u2, u2} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (fun (x : E) => x) x
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u1}} [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : NormedSpace.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)] {x : E}, DifferentiableAt.{u2, u1, u1} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (fun (x : E) => x) x
+Case conversion may be inaccurate. Consider using '#align differentiable_at_id' differentiableAt_id'ₓ'. -/
 @[simp]
 theorem differentiableAt_id' : DifferentiableAt 𝕜 (fun x => x) x :=
-  (hasFderivAt_id x).DifferentiableAt
+  (hasFDerivAt_id x).DifferentiableAt
 #align differentiable_at_id' differentiableAt_id'
 
+/- warning: differentiable_within_at_id -> differentiableWithinAt_id is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {x : E} {s : Set.{u2} E}, DifferentiableWithinAt.{u1, u2, u2} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (id.{succ u2} E) s x
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u1}} [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : NormedSpace.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)] {x : E} {s : Set.{u1} E}, DifferentiableWithinAt.{u2, u1, u1} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (id.{succ u1} E) s x
+Case conversion may be inaccurate. Consider using '#align differentiable_within_at_id differentiableWithinAt_idₓ'. -/
 theorem differentiableWithinAt_id : DifferentiableWithinAt 𝕜 id s x :=
   differentiableAt_id.DifferentiableWithinAt
 #align differentiable_within_at_id differentiableWithinAt_id
 
+/- warning: differentiable_id -> differentiable_id is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)], Differentiable.{u1, u2, u2} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (id.{succ u2} E)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u1}} [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : NormedSpace.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)], Differentiable.{u2, u1, u1} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (id.{succ u1} E)
+Case conversion may be inaccurate. Consider using '#align differentiable_id differentiable_idₓ'. -/
 @[simp]
 theorem differentiable_id : Differentiable 𝕜 (id : E → E) := fun x => differentiableAt_id
 #align differentiable_id differentiable_id
 
+/- warning: differentiable_id' -> differentiable_id' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)], Differentiable.{u1, u2, u2} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (fun (x : E) => x)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u1}} [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : NormedSpace.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)], Differentiable.{u2, u1, u1} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (fun (x : E) => x)
+Case conversion may be inaccurate. Consider using '#align differentiable_id' differentiable_id'ₓ'. -/
 @[simp]
 theorem differentiable_id' : Differentiable 𝕜 fun x : E => x := fun x => differentiableAt_id
 #align differentiable_id' differentiable_id'
 
+/- warning: differentiable_on_id -> differentiableOn_id is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {s : Set.{u2} E}, DifferentiableOn.{u1, u2, u2} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (id.{succ u2} E) s
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u1}} [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : NormedSpace.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)] {s : Set.{u1} E}, DifferentiableOn.{u2, u1, u1} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (id.{succ u1} E) s
+Case conversion may be inaccurate. Consider using '#align differentiable_on_id differentiableOn_idₓ'. -/
 theorem differentiableOn_id : DifferentiableOn 𝕜 id s :=
   differentiable_id.DifferentiableOn
 #align differentiable_on_id differentiableOn_id
 
+#print fderiv_id /-
 theorem fderiv_id : fderiv 𝕜 id x = id 𝕜 E :=
-  HasFderivAt.fderiv (hasFderivAt_id x)
+  HasFDerivAt.fderiv (hasFDerivAt_id x)
 #align fderiv_id fderiv_id
+-/
 
+#print fderiv_id' /-
 @[simp]
 theorem fderiv_id' : fderiv 𝕜 (fun x : E => x) x = ContinuousLinearMap.id 𝕜 E :=
   fderiv_id
 #align fderiv_id' fderiv_id'
+-/
 
+/- warning: fderiv_within_id -> fderivWithin_id is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (fderivWithin.{u1, u2, u2} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (id.{succ u2} E) s x) (ContinuousLinearMap.id.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u1}} [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : NormedSpace.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)] {x : E} {s : Set.{u1} E}, (UniqueDiffWithinAt.{u2, u1} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) s x) -> (Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) _inst_3)) (fderivWithin.{u2, u1, u1} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (id.{succ u1} E) s x) (ContinuousLinearMap.id.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) _inst_3)))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_id fderivWithin_idₓ'. -/
 theorem fderivWithin_id (hxs : UniqueDiffWithinAt 𝕜 s x) : fderivWithin 𝕜 id s x = id 𝕜 E :=
   by
   rw [DifferentiableAt.fderivWithin differentiableAt_id hxs]
   exact fderiv_id
 #align fderiv_within_id fderivWithin_id
 
+/- warning: fderiv_within_id' -> fderivWithin_id' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {x : E} {s : Set.{u2} E}, (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Eq.{succ u2} (ContinuousLinearMap.{u1, u1, u2, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (fderivWithin.{u1, u2, u2} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (fun (x : E) => x) s x) (ContinuousLinearMap.id.{u1, u2} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u1}} [_inst_2 : NormedAddCommGroup.{u1} E] [_inst_3 : NormedSpace.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)] {x : E} {s : Set.{u1} E}, (UniqueDiffWithinAt.{u2, u1} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) s x) -> (Eq.{succ u1} (ContinuousLinearMap.{u2, u2, u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) _inst_3)) (fderivWithin.{u2, u1, u1} 𝕜 _inst_1 E _inst_2 _inst_3 E _inst_2 _inst_3 (fun (x : E) => x) s x) (ContinuousLinearMap.id.{u2, u1} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_2) _inst_3)))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_id' fderivWithin_id'ₓ'. -/
 theorem fderivWithin_id' (hxs : UniqueDiffWithinAt 𝕜 s x) :
     fderivWithin 𝕜 (fun x : E => x) s x = ContinuousLinearMap.id 𝕜 E :=
   fderivWithin_id hxs
@@ -1057,38 +1831,86 @@ section Const
 /-! ### derivative of a constant function -/
 
 
-theorem hasStrictFderivAt_const (c : F) (x : E) :
-    HasStrictFderivAt (fun _ => c) (0 : E →L[𝕜] F) x :=
+/- warning: has_strict_fderiv_at_const -> hasStrictFDerivAt_const is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] (c : F) (x : E), HasStrictFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (_x : E) => c) (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (OfNat.mk.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) x
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] (c : F) (x : E), HasStrictFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (_x : E) => c) (OfNat.ofNat.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) x
+Case conversion may be inaccurate. Consider using '#align has_strict_fderiv_at_const hasStrictFDerivAt_constₓ'. -/
+theorem hasStrictFDerivAt_const (c : F) (x : E) :
+    HasStrictFDerivAt (fun _ => c) (0 : E →L[𝕜] F) x :=
   (isLittleO_zero _ _).congr_left fun _ => by simp only [zero_apply, sub_self]
-#align has_strict_fderiv_at_const hasStrictFderivAt_const
-
-theorem hasFderivAtFilter_const (c : F) (x : E) (L : Filter E) :
-    HasFderivAtFilter (fun x => c) (0 : E →L[𝕜] F) x L :=
+#align has_strict_fderiv_at_const hasStrictFDerivAt_const
+
+/- warning: has_fderiv_at_filter_const -> hasFDerivAtFilter_const is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] (c : F) (x : E) (L : Filter.{u2} E), HasFDerivAtFilter.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c) (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (OfNat.mk.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) x L
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] (c : F) (x : E) (L : Filter.{u3} E), HasFDerivAtFilter.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c) (OfNat.ofNat.{max u3 u1} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u3 u1} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) x L
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at_filter_const hasFDerivAtFilter_constₓ'. -/
+theorem hasFDerivAtFilter_const (c : F) (x : E) (L : Filter E) :
+    HasFDerivAtFilter (fun x => c) (0 : E →L[𝕜] F) x L :=
   (isLittleO_zero _ _).congr_left fun _ => by simp only [zero_apply, sub_self]
-#align has_fderiv_at_filter_const hasFderivAtFilter_const
-
-theorem hasFderivWithinAt_const (c : F) (x : E) (s : Set E) :
-    HasFderivWithinAt (fun x => c) (0 : E →L[𝕜] F) s x :=
-  hasFderivAtFilter_const _ _ _
-#align has_fderiv_within_at_const hasFderivWithinAt_const
-
-theorem hasFderivAt_const (c : F) (x : E) : HasFderivAt (fun x => c) (0 : E →L[𝕜] F) x :=
-  hasFderivAtFilter_const _ _ _
-#align has_fderiv_at_const hasFderivAt_const
-
+#align has_fderiv_at_filter_const hasFDerivAtFilter_const
+
+/- warning: has_fderiv_within_at_const -> hasFDerivWithinAt_const is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] (c : F) (x : E) (s : Set.{u2} E), HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c) (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (OfNat.mk.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) s x
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] (c : F) (x : E) (s : Set.{u3} E), HasFDerivWithinAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c) (OfNat.ofNat.{max u3 u1} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u3 u1} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) s x
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_const hasFDerivWithinAt_constₓ'. -/
+theorem hasFDerivWithinAt_const (c : F) (x : E) (s : Set E) :
+    HasFDerivWithinAt (fun x => c) (0 : E →L[𝕜] F) s x :=
+  hasFDerivAtFilter_const _ _ _
+#align has_fderiv_within_at_const hasFDerivWithinAt_const
+
+/- warning: has_fderiv_at_const -> hasFDerivAt_const is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] (c : F) (x : E), HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c) (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (OfNat.mk.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) x
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] (c : F) (x : E), HasFDerivAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c) (OfNat.ofNat.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) x
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at_const hasFDerivAt_constₓ'. -/
+theorem hasFDerivAt_const (c : F) (x : E) : HasFDerivAt (fun x => c) (0 : E →L[𝕜] F) x :=
+  hasFDerivAtFilter_const _ _ _
+#align has_fderiv_at_const hasFDerivAt_const
+
+/- warning: differentiable_at_const -> differentiableAt_const is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {x : E} (c : F), DifferentiableAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c) x
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {x : E} (c : F), DifferentiableAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c) x
+Case conversion may be inaccurate. Consider using '#align differentiable_at_const differentiableAt_constₓ'. -/
 @[simp]
 theorem differentiableAt_const (c : F) : DifferentiableAt 𝕜 (fun x => c) x :=
-  ⟨0, hasFderivAt_const c x⟩
+  ⟨0, hasFDerivAt_const c x⟩
 #align differentiable_at_const differentiableAt_const
 
+/- warning: differentiable_within_at_const -> differentiableWithinAt_const is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {x : E} {s : Set.{u2} E} (c : F), DifferentiableWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c) s x
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {x : E} {s : Set.{u2} E} (c : F), DifferentiableWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c) s x
+Case conversion may be inaccurate. Consider using '#align differentiable_within_at_const differentiableWithinAt_constₓ'. -/
 theorem differentiableWithinAt_const (c : F) : DifferentiableWithinAt 𝕜 (fun x => c) s x :=
   DifferentiableAt.differentiableWithinAt (differentiableAt_const _)
 #align differentiable_within_at_const differentiableWithinAt_const
 
+/- warning: fderiv_const_apply -> fderiv_const_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {x : E} (c : F), Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (OfNat.mk.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {x : E} (c : F), Eq.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))))
+Case conversion may be inaccurate. Consider using '#align fderiv_const_apply fderiv_const_applyₓ'. -/
 theorem fderiv_const_apply (c : F) : fderiv 𝕜 (fun y => c) x = 0 :=
-  HasFderivAt.fderiv (hasFderivAt_const c x)
+  HasFDerivAt.fderiv (hasFDerivAt_const c x)
 #align fderiv_const_apply fderiv_const_apply
 
+/- warning: fderiv_const -> fderiv_const is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] (c : F), Eq.{max (succ u2) (succ u3)} (E -> (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (y : E) => c)) (OfNat.ofNat.{max u2 u3} (E -> (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) 0 (OfNat.mk.{max u2 u3} (E -> (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) 0 (Zero.zero.{max u2 u3} (E -> (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (Pi.instZero.{u2, max u2 u3} E (fun (x : E) => ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (i : E) => ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] (c : F), Eq.{max (succ u3) (succ u2)} (E -> (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (y : E) => c)) (OfNat.ofNat.{max u3 u2} (E -> (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) 0 (Zero.toOfNat0.{max u3 u2} (E -> (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5))) (Pi.instZero.{u3, max u3 u2} E (fun (x : E) => ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fun (i : E) => ContinuousLinearMap.zero.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))))
+Case conversion may be inaccurate. Consider using '#align fderiv_const fderiv_constₓ'. -/
 @[simp]
 theorem fderiv_const (c : F) : (fderiv 𝕜 fun y : E => c) = 0 :=
   by
@@ -1097,6 +1919,12 @@ theorem fderiv_const (c : F) : (fderiv 𝕜 fun y : E => c) = 0 :=
   rfl
 #align fderiv_const fderiv_const
 
+/- warning: fderiv_within_const_apply -> fderivWithin_const_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {x : E} {s : Set.{u2} E} (c : F), (UniqueDiffWithinAt.{u1, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Eq.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F 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(PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {x : E} {s : Set.{u2} E} (c : F), (UniqueDiffWithinAt.{u3, u2} 𝕜 _inst_1 E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) s x) -> (Eq.{max (succ u2) (succ u1)} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (fderivWithin.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (y : E) => c) s x) (OfNat.ofNat.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))))
+Case conversion may be inaccurate. Consider using '#align fderiv_within_const_apply fderivWithin_const_applyₓ'. -/
 theorem fderivWithin_const_apply (c : F) (hxs : UniqueDiffWithinAt 𝕜 s x) :
     fderivWithin 𝕜 (fun y => c) s x = 0 :=
   by
@@ -1104,43 +1932,91 @@ theorem fderivWithin_const_apply (c : F) (hxs : UniqueDiffWithinAt 𝕜 s x) :
   exact fderiv_const_apply _
 #align fderiv_within_const_apply fderivWithin_const_apply
 
+/- warning: differentiable_const -> differentiable_const is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] (c : F), Differentiable.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] (c : F), Differentiable.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c)
+Case conversion may be inaccurate. Consider using '#align differentiable_const differentiable_constₓ'. -/
 @[simp]
 theorem differentiable_const (c : F) : Differentiable 𝕜 fun x : E => c := fun x =>
   differentiableAt_const _
 #align differentiable_const differentiable_const
 
+/- warning: differentiable_on_const -> differentiableOn_const is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {s : Set.{u2} E} (c : F), DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c) s
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {s : Set.{u2} E} (c : F), DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 (fun (x : E) => c) s
+Case conversion may be inaccurate. Consider using '#align differentiable_on_const differentiableOn_constₓ'. -/
 theorem differentiableOn_const (c : F) : DifferentiableOn 𝕜 (fun x => c) s :=
   (differentiable_const _).DifferentiableOn
 #align differentiable_on_const differentiableOn_const
 
-theorem hasFderivWithinAt_singleton (f : E → F) (x : E) :
-    HasFderivWithinAt f (0 : E →L[𝕜] F) {x} x := by
-  simp only [HasFderivWithinAt, nhdsWithin_singleton, HasFderivAtFilter, is_o_pure,
+/- warning: has_fderiv_within_at_singleton -> hasFDerivWithinAt_singleton is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] (f : E -> F) (x : E), HasFDerivWithinAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (OfNat.mk.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x) x
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] (f : E -> F) (x : E), HasFDerivWithinAt.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u2 u1} (ContinuousLinearMap.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u3, u3, u2, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))) (RingHom.id.{u3} 𝕜 (Semiring.toNonAssocSemiring.{u3} 𝕜 (DivisionSemiring.toSemiring.{u3} 𝕜 (Semifield.toDivisionSemiring.{u3} 𝕜 (Field.toSemifield.{u3} 𝕜 (NormedField.toField.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x) x
+Case conversion may be inaccurate. Consider using '#align has_fderiv_within_at_singleton hasFDerivWithinAt_singletonₓ'. -/
+theorem hasFDerivWithinAt_singleton (f : E → F) (x : E) :
+    HasFDerivWithinAt f (0 : E →L[𝕜] F) {x} x := by
+  simp only [HasFDerivWithinAt, nhdsWithin_singleton, HasFDerivAtFilter, is_o_pure,
     ContinuousLinearMap.zero_apply, sub_self]
-#align has_fderiv_within_at_singleton hasFderivWithinAt_singleton
-
-theorem hasFderivAt_of_subsingleton [h : Subsingleton E] (f : E → F) (x : E) :
-    HasFderivAt f (0 : E →L[𝕜] F) x :=
+#align has_fderiv_within_at_singleton hasFDerivWithinAt_singleton
+
+/- warning: has_fderiv_at_of_subsingleton -> hasFDerivAt_of_subsingleton is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [h : Subsingleton.{succ u2} E] (f : E -> F) (x : E), HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (OfNat.mk.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) x
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] [h : Subsingleton.{succ u3} E] (f : E -> F) (x : E), HasFDerivAt.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{max u3 u1} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u3 u1} (ContinuousLinearMap.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u2, u2, u3, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4) _inst_5)))) x
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at_of_subsingleton hasFDerivAt_of_subsingletonₓ'. -/
+theorem hasFDerivAt_of_subsingleton [h : Subsingleton E] (f : E → F) (x : E) :
+    HasFDerivAt f (0 : E →L[𝕜] F) x :=
   by
-  rw [← hasFderivWithinAt_univ, subsingleton_univ.eq_singleton_of_mem (mem_univ x)]
-  exact hasFderivWithinAt_singleton f x
-#align has_fderiv_at_of_subsingleton hasFderivAt_of_subsingleton
-
+  rw [← hasFDerivWithinAt_univ, subsingleton_univ.eq_singleton_of_mem (mem_univ x)]
+  exact hasFDerivWithinAt_singleton f x
+#align has_fderiv_at_of_subsingleton hasFDerivAt_of_subsingleton
+
+/- warning: differentiable_on_empty -> differentiableOn_empty is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F}, DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (EmptyCollection.emptyCollection.{u2} (Set.{u2} E) (Set.hasEmptyc.{u2} E))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F}, DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (EmptyCollection.emptyCollection.{u2} (Set.{u2} E) (Set.instEmptyCollectionSet.{u2} E))
+Case conversion may be inaccurate. Consider using '#align differentiable_on_empty differentiableOn_emptyₓ'. -/
 theorem differentiableOn_empty : DifferentiableOn 𝕜 f ∅ := fun x => False.elim
 #align differentiable_on_empty differentiableOn_empty
 
+/- warning: differentiable_on_singleton -> differentiableOn_singleton is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E}, DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.hasSingleton.{u2} E) x)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u3, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u3, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {x : E}, DifferentiableOn.{u3, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (Singleton.singleton.{u2, u2} E (Set.{u2} E) (Set.instSingletonSet.{u2} E) x)
+Case conversion may be inaccurate. Consider using '#align differentiable_on_singleton differentiableOn_singletonₓ'. -/
 theorem differentiableOn_singleton : DifferentiableOn 𝕜 f {x} :=
-  forall_eq.2 (hasFderivWithinAt_singleton f x).DifferentiableWithinAt
+  forall_eq.2 (hasFDerivWithinAt_singleton f x).DifferentiableWithinAt
 #align differentiable_on_singleton differentiableOn_singleton
 
+/- warning: set.subsingleton.differentiable_on -> Set.Subsingleton.differentiableOn is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {s : Set.{u2} E}, (Set.Subsingleton.{u2} E s) -> (DifferentiableOn.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u1}} [_inst_4 : NormedAddCommGroup.{u1} F] [_inst_5 : NormedSpace.{u2, u1} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_4)] {f : E -> F} {s : Set.{u3} E}, (Set.Subsingleton.{u3} E s) -> (DifferentiableOn.{u2, u3, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f s)
+Case conversion may be inaccurate. Consider using '#align set.subsingleton.differentiable_on Set.Subsingleton.differentiableOnₓ'. -/
 theorem Set.Subsingleton.differentiableOn (hs : s.Subsingleton) : DifferentiableOn 𝕜 f s :=
   hs.inductionOn differentiableOn_empty fun x => differentiableOn_singleton
 #align set.subsingleton.differentiable_on Set.Subsingleton.differentiableOn
 
-theorem hasFderivAt_zero_of_eventually_const (c : F) (hf : f =ᶠ[𝓝 x] fun y => c) :
-    HasFderivAt f (0 : E →L[𝕜] F) x :=
-  (hasFderivAt_const _ _).congr_of_eventuallyEq hf
-#align has_fderiv_at_zero_of_eventually_const hasFderivAt_zero_of_eventually_const
+/- warning: has_fderiv_at_zero_of_eventually_const -> hasFDerivAt_zero_of_eventually_const is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F} {x : E} (c : F), (Filter.EventuallyEq.{u2, u3} E F (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) x) f (fun (y : E) => c)) -> (HasFDerivAt.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (OfNat.mk.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 0 (Zero.zero.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) x)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u2}} [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F} {x : E} (c : F), (Filter.EventuallyEq.{u3, u2} E F (nhds.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) x) f (fun (y : E) => c)) -> (HasFDerivAt.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f (OfNat.ofNat.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) 0 (Zero.toOfNat0.{max u3 u2} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)))) x)
+Case conversion may be inaccurate. Consider using '#align has_fderiv_at_zero_of_eventually_const hasFDerivAt_zero_of_eventually_constₓ'. -/
+theorem hasFDerivAt_zero_of_eventually_const (c : F) (hf : f =ᶠ[𝓝 x] fun y => c) :
+    HasFDerivAt f (0 : E →L[𝕜] F) x :=
+  (hasFDerivAt_const _ _).congr_of_eventuallyEq hf
+#align has_fderiv_at_zero_of_eventually_const hasFDerivAt_zero_of_eventually_const
 
 end Const
 
@@ -1156,6 +2032,12 @@ open Function
 variable (𝕜 : Type _) {E F : Type _} [NontriviallyNormedField 𝕜] [NormedAddCommGroup E]
   [NormedSpace 𝕜 E] [NormedAddCommGroup F] [NormedSpace 𝕜 F] {f : E → F}
 
+/- warning: support_fderiv_subset -> support_fderiv_subset is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F}, HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (Function.support.{u2, max u2 u3} E (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (tsupport.{u2, u3} E F (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4)))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) f)
+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u3}} {F : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F}, HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) (Function.support.{u3, max u2 u3} E (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (ContinuousLinearMap.zero.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f)) (tsupport.{u3, u2} E F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)))))) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) f)
+Case conversion may be inaccurate. Consider using '#align support_fderiv_subset support_fderiv_subsetₓ'. -/
 theorem support_fderiv_subset : support (fderiv 𝕜 f) ⊆ tsupport f :=
   by
   intro x
@@ -1165,6 +2047,12 @@ theorem support_fderiv_subset : support (fderiv 𝕜 f) ⊆ tsupport f :=
   exact nmem_support.mpr (h2x.fderiv_eq.trans <| fderiv_const_apply 0)
 #align support_fderiv_subset support_fderiv_subset
 
+/- warning: has_compact_support.fderiv -> HasCompactSupport.fderiv is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] {f : E -> F}, (HasCompactSupport.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddZeroClass.toHasZero.{u3} F (AddMonoid.toAddZeroClass.{u3} F (SubNegMonoid.toAddMonoid.{u3} F (AddGroup.toSubNegMonoid.{u3} F (NormedAddGroup.toAddGroup.{u3} F (NormedAddCommGroup.toNormedAddGroup.{u3} F _inst_4)))))) f) -> (HasCompactSupport.{u2, max u2 u3} E (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (ContinuousLinearMap.zero.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fderiv.{u1, u2, u3} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u3}} {F : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] [_inst_4 : NormedAddCommGroup.{u2} F] [_inst_5 : NormedSpace.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)] {f : E -> F}, (HasCompactSupport.{u3, u2} E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)))))) f) -> (HasCompactSupport.{u3, max u2 u3} E (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (ContinuousLinearMap.zero.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u2} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_4) _inst_5)) (fderiv.{u1, u3, u2} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 f))
+Case conversion may be inaccurate. Consider using '#align has_compact_support.fderiv HasCompactSupport.fderivₓ'. -/
 theorem HasCompactSupport.fderiv (hf : HasCompactSupport f) : HasCompactSupport (fderiv 𝕜 f) :=
   hf.mono' <| support_fderiv_subset 𝕜
 #align has_compact_support.fderiv HasCompactSupport.fderiv

bump to nightly-2023-05-14-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/e3fb84046afd187b710170887195d50bada934ee

fbb256bf

Changes in mathlib4

mathlib3

mathlib4

chore: adapt to multiple goal linter 1 (#12338)

A PR accompanying #12339.

Zulip discussion

45f93f3f

Diff

@@ -336,7 +336,7 @@ only assumes that `‖f x - f x₀‖ ≤ C * ‖x - x₀‖` in a neighborhood
 theorem HasFDerivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (hf : HasFDerivAt f f' x₀)
     {C : ℝ} (hC₀ : 0 ≤ C) (hlip : ∀ᶠ x in 𝓝 x₀, ‖f x - f x₀‖ ≤ C * ‖x - x₀‖) : ‖f'‖ ≤ C := by
   refine' le_of_forall_pos_le_add fun ε ε0 => opNorm_le_of_nhds_zero _ _
-  exact add_nonneg hC₀ ε0.le
+  · exact add_nonneg hC₀ ε0.le
   rw [← map_add_left_nhds_zero x₀, eventually_map] at hlip
   filter_upwards [isLittleO_iff.1 (hasFDerivAt_iff_isLittleO_nhds_zero.1 hf) ε0, hlip] with y hy hyC
   rw [add_sub_cancel_left] at hyC

chore: superfluous parentheses part 2 (#12131)

Co-authored-by: Moritz Firsching <firsching@google.com>

d48d30ac

Diff

@@ -342,7 +342,7 @@ theorem HasFDerivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (h
   rw [add_sub_cancel_left] at hyC
   calc
     ‖f' y‖ ≤ ‖f (x₀ + y) - f x₀‖ + ‖f (x₀ + y) - f x₀ - f' y‖ := norm_le_insert _ _
-    _ ≤ C * ‖y‖ + ε * ‖y‖ := (add_le_add hyC hy)
+    _ ≤ C * ‖y‖ + ε * ‖y‖ := add_le_add hyC hy
     _ = (C + ε) * ‖y‖ := (add_mul _ _ _).symm
 
 #align has_fderiv_at.le_of_lip' HasFDerivAt.le_of_lip'

chore: avoid Ne.def (adaptation for nightly-2024-03-27) (#11801)

1b40c7bc

Diff

@@ -218,7 +218,7 @@ theorem fderivWithin_zero_of_isolated (h : 𝓝[s \ {x}] x = ⊥) : fderivWithin
 
 theorem fderivWithin_zero_of_nmem_closure (h : x ∉ closure s) : fderivWithin 𝕜 f s x = 0 := by
   apply fderivWithin_zero_of_isolated
-  simp only [mem_closure_iff_nhdsWithin_neBot, neBot_iff, Ne.def, Classical.not_not] at h
+  simp only [mem_closure_iff_nhdsWithin_neBot, neBot_iff, Ne, Classical.not_not] at h
   rw [eq_bot_iff, ← h]
   exact nhdsWithin_mono _ (diff_subset s {x})

chore: Rename mul-div cancellation lemmas (#11530)

Lemma names around cancellation of multiplication and division are a mess.

This PR renames a handful of them according to the following table (each big row contains the multiplicative statement, then the three rows contain the GroupWithZero lemma name, the Group lemma, the AddGroup lemma name).

4ea4a86a

Diff

@@ -256,7 +256,7 @@ theorem HasFDerivWithinAt.lim (h : HasFDerivWithinAt f f' s x) {α : Type*} (l :
   have : (fun y => f y - f x - f' (y - x)) =o[𝓝[s] x] fun y => y - x := h.isLittleO
   have : (fun n => f (x + d n) - f x - f' (x + d n - x)) =o[l] fun n => x + d n - x :=
     this.comp_tendsto tendsto_arg
-  have : (fun n => f (x + d n) - f x - f' (d n)) =o[l] d := by simpa only [add_sub_cancel']
+  have : (fun n => f (x + d n) - f x - f' (d n)) =o[l] d := by simpa only [add_sub_cancel_left]
   have : (fun n => c n • (f (x + d n) - f x - f' (d n))) =o[l] fun n => c n • d n :=
     (isBigO_refl c l).smul_isLittleO this
   have : (fun n => c n • (f (x + d n) - f x - f' (d n))) =o[l] fun _ => (1 : ℝ) :=
@@ -339,7 +339,7 @@ theorem HasFDerivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (h
   exact add_nonneg hC₀ ε0.le
   rw [← map_add_left_nhds_zero x₀, eventually_map] at hlip
   filter_upwards [isLittleO_iff.1 (hasFDerivAt_iff_isLittleO_nhds_zero.1 hf) ε0, hlip] with y hy hyC
-  rw [add_sub_cancel'] at hyC
+  rw [add_sub_cancel_left] at hyC
   calc
     ‖f' y‖ ≤ ‖f (x₀ + y) - f x₀‖ + ‖f (x₀ + y) - f x₀ - f' y‖ := norm_le_insert _ _
     _ ≤ C * ‖y‖ + ε * ‖y‖ := (add_le_add hyC hy)

chore(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

75c86f04

Diff

@@ -125,13 +125,9 @@ noncomputable section
 section
 
 variable {𝕜 : Type*} [NontriviallyNormedField 𝕜]
-
 variable {E : Type*} [NormedAddCommGroup E] [NormedSpace 𝕜 E]
-
 variable {F : Type*} [NormedAddCommGroup F] [NormedSpace 𝕜 F]
-
 variable {G : Type*} [NormedAddCommGroup G] [NormedSpace 𝕜 G]
-
 variable {G' : Type*} [NormedAddCommGroup G'] [NormedSpace 𝕜 G']
 
 /-- A function `f` has the continuous linear map `f'` as derivative along the filter `L` if
@@ -210,17 +206,11 @@ def Differentiable (f : E → F) :=
 #align differentiable Differentiable
 
 variable {𝕜}
-
 variable {f f₀ f₁ g : E → F}
-
 variable {f' f₀' f₁' g' : E →L[𝕜] F}
-
 variable (e : E →L[𝕜] F)
-
 variable {x : E}
-
 variable {s t : Set E}
-
 variable {L L₁ L₂ : Filter E}
 
 theorem fderivWithin_zero_of_isolated (h : 𝓝[s \ {x}] x = ⊥) : fderivWithin 𝕜 f s x = 0 := by

feat: set up fun_prop for Differentiable and HasFDeriv (#11153)

Basic setup for fun_prop for Differentiable(At/On/Within) and HasFDeriv(At/Within/Strict).

Mainly consists of marking theorems with fun_prop attribute but I had to formulate appropriate _pi and _apply theorems. Proofs of _apply theorems can probably be golfed into neater form.

7e0bc5a7

Diff

@@ -146,12 +146,14 @@ structure HasFDerivAtFilter (f : E → F) (f' : E →L[𝕜] F) (x : E) (L : Fil
 
 /-- A function `f` has the continuous linear map `f'` as derivative at `x` within a set `s` if
 `f x' = f x + f' (x' - x) + o (x' - x)` when `x'` tends to `x` inside `s`. -/
+@[fun_prop]
 def HasFDerivWithinAt (f : E → F) (f' : E →L[𝕜] F) (s : Set E) (x : E) :=
   HasFDerivAtFilter f f' x (𝓝[s] x)
 #align has_fderiv_within_at HasFDerivWithinAt
 
 /-- A function `f` has the continuous linear map `f'` as derivative at `x` if
 `f x' = f x + f' (x' - x) + o (x' - x)` when `x'` tends to `x`. -/
+@[fun_prop]
 def HasFDerivAt (f : E → F) (f' : E →L[𝕜] F) (x : E) :=
   HasFDerivAtFilter f f' x (𝓝 x)
 #align has_fderiv_at HasFDerivAt
@@ -160,6 +162,7 @@ def HasFDerivAt (f : E → F) (f' : E →L[𝕜] F) (x : E) :=
 if `f x - f y - f' (x - y) = o(x - y)` as `x, y → a`. This form of differentiability is required,
 e.g., by the inverse function theorem. Any `C^1` function on a vector space over `ℝ` is strictly
 differentiable but this definition works, e.g., for vector spaces over `p`-adic numbers. -/
+@[fun_prop]
 def HasStrictFDerivAt (f : E → F) (f' : E →L[𝕜] F) (x : E) :=
   (fun p : E × E => f p.1 - f p.2 - f' (p.1 - p.2)) =o[𝓝 (x, x)] fun p : E × E => p.1 - p.2
 #align has_strict_fderiv_at HasStrictFDerivAt
@@ -168,12 +171,14 @@ variable (𝕜)
 
 /-- A function `f` is differentiable at a point `x` within a set `s` if it admits a derivative
 there (possibly non-unique). -/
+@[fun_prop]
 def DifferentiableWithinAt (f : E → F) (s : Set E) (x : E) :=
   ∃ f' : E →L[𝕜] F, HasFDerivWithinAt f f' s x
 #align differentiable_within_at DifferentiableWithinAt
 
 /-- A function `f` is differentiable at a point `x` if it admits a derivative there (possibly
 non-unique). -/
+@[fun_prop]
 def DifferentiableAt (f : E → F) (x : E) :=
   ∃ f' : E →L[𝕜] F, HasFDerivAt f f' x
 #align differentiable_at DifferentiableAt
@@ -193,11 +198,13 @@ irreducible_def fderiv (f : E → F) (x : E) : E →L[𝕜] F :=
 #align fderiv fderiv
 
 /-- `DifferentiableOn 𝕜 f s` means that `f` is differentiable within `s` at any point of `s`. -/
+@[fun_prop]
 def DifferentiableOn (f : E → F) (s : Set E) :=
   ∀ x ∈ s, DifferentiableWithinAt 𝕜 f s x
 #align differentiable_on DifferentiableOn
 
 /-- `Differentiable 𝕜 f` means that `f` is differentiable at any point. -/
+@[fun_prop]
 def Differentiable (f : E → F) :=
   ∀ x, DifferentiableAt 𝕜 f x
 #align differentiable Differentiable
@@ -386,15 +393,18 @@ theorem HasFDerivAt.hasFDerivAtFilter (h : HasFDerivAt f f' x) (hL : L ≤ 𝓝
   h.mono hL
 #align has_fderiv_at.has_fderiv_at_filter HasFDerivAt.hasFDerivAtFilter
 
+@[fun_prop]
 theorem HasFDerivAt.hasFDerivWithinAt (h : HasFDerivAt f f' x) : HasFDerivWithinAt f f' s x :=
   h.hasFDerivAtFilter inf_le_left
 #align has_fderiv_at.has_fderiv_within_at HasFDerivAt.hasFDerivWithinAt
 
+@[fun_prop]
 theorem HasFDerivWithinAt.differentiableWithinAt (h : HasFDerivWithinAt f f' s x) :
     DifferentiableWithinAt 𝕜 f s x :=
   ⟨f', h⟩
 #align has_fderiv_within_at.differentiable_within_at HasFDerivWithinAt.differentiableWithinAt
 
+@[fun_prop]
 theorem HasFDerivAt.differentiableAt (h : HasFDerivAt f f' x) : DifferentiableAt 𝕜 f x :=
   ⟨f', h⟩
 #align has_fderiv_at.differentiable_at HasFDerivAt.differentiableAt
@@ -452,6 +462,7 @@ theorem HasFDerivAtFilter.isBigO_sub (h : HasFDerivAtFilter f f' x L) :
 set_option linter.uppercaseLean3 false in
 #align has_fderiv_at_filter.is_O_sub HasFDerivAtFilter.isBigO_sub
 
+@[fun_prop]
 protected theorem HasStrictFDerivAt.hasFDerivAt (hf : HasStrictFDerivAt f f' x) :
     HasFDerivAt f f' x := by
   rw [HasFDerivAt, hasFDerivAtFilter_iff_isLittleO, isLittleO_iff]
@@ -646,6 +657,7 @@ theorem DifferentiableAt.differentiableWithinAt (h : DifferentiableAt 𝕜 f x)
   (differentiableWithinAt_univ.2 h).mono (subset_univ _)
 #align differentiable_at.differentiable_within_at DifferentiableAt.differentiableWithinAt
 
+@[fun_prop]
 theorem Differentiable.differentiableAt (h : Differentiable 𝕜 f) : DifferentiableAt 𝕜 f x :=
   h x
 #align differentiable.differentiable_at Differentiable.differentiableAt
@@ -664,6 +676,7 @@ theorem differentiableOn_univ : DifferentiableOn 𝕜 f univ ↔ Differentiable
     forall_true_left]
 #align differentiable_on_univ differentiableOn_univ
 
+@[fun_prop]
 theorem Differentiable.differentiableOn (h : Differentiable 𝕜 f) : DifferentiableOn 𝕜 f s :=
   (differentiableOn_univ.2 h).mono (subset_univ _)
 #align differentiable.differentiable_on Differentiable.differentiableOn
@@ -794,21 +807,25 @@ theorem HasFDerivAt.continuousAt (h : HasFDerivAt f f' x) : ContinuousAt f x :=
   HasFDerivAtFilter.tendsto_nhds le_rfl h
 #align has_fderiv_at.continuous_at HasFDerivAt.continuousAt
 
+@[fun_prop]
 theorem DifferentiableWithinAt.continuousWithinAt (h : DifferentiableWithinAt 𝕜 f s x) :
     ContinuousWithinAt f s x :=
   let ⟨_, hf'⟩ := h
   hf'.continuousWithinAt
 #align differentiable_within_at.continuous_within_at DifferentiableWithinAt.continuousWithinAt
 
+@[fun_prop]
 theorem DifferentiableAt.continuousAt (h : DifferentiableAt 𝕜 f x) : ContinuousAt f x :=
   let ⟨_, hf'⟩ := h
   hf'.continuousAt
 #align differentiable_at.continuous_at DifferentiableAt.continuousAt
 
+@[fun_prop]
 theorem DifferentiableOn.continuousOn (h : DifferentiableOn 𝕜 f s) : ContinuousOn f s := fun x hx =>
   (h x hx).continuousWithinAt
 #align differentiable_on.continuous_on DifferentiableOn.continuousOn
 
+@[fun_prop]
 theorem Differentiable.continuous (h : Differentiable 𝕜 f) : Continuous f :=
   continuous_iff_continuousAt.2 fun x => (h x).continuousAt
 #align differentiable.continuous Differentiable.continuous
@@ -1066,7 +1083,7 @@ section id
 
 /-! ### Derivative of the identity -/
 
-
+@[fun_prop]
 theorem hasStrictFDerivAt_id (x : E) : HasStrictFDerivAt id (id 𝕜 E) x :=
   (isLittleO_zero _ _).congr_left <| by simp
 #align has_strict_fderiv_at_id hasStrictFDerivAt_id
@@ -1075,15 +1092,17 @@ theorem hasFDerivAtFilter_id (x : E) (L : Filter E) : HasFDerivAtFilter id (id 
   .of_isLittleO <| (isLittleO_zero _ _).congr_left <| by simp
 #align has_fderiv_at_filter_id hasFDerivAtFilter_id
 
+@[fun_prop]
 theorem hasFDerivWithinAt_id (x : E) (s : Set E) : HasFDerivWithinAt id (id 𝕜 E) s x :=
   hasFDerivAtFilter_id _ _
 #align has_fderiv_within_at_id hasFDerivWithinAt_id
 
+@[fun_prop]
 theorem hasFDerivAt_id (x : E) : HasFDerivAt id (id 𝕜 E) x :=
   hasFDerivAtFilter_id _ _
 #align has_fderiv_at_id hasFDerivAt_id
 
-@[simp]
+@[simp, fun_prop]
 theorem differentiableAt_id : DifferentiableAt 𝕜 id x :=
   (hasFDerivAt_id x).differentiableAt
 #align differentiable_at_id differentiableAt_id
@@ -1093,11 +1112,12 @@ theorem differentiableAt_id' : DifferentiableAt 𝕜 (fun x => x) x :=
   (hasFDerivAt_id x).differentiableAt
 #align differentiable_at_id' differentiableAt_id'
 
+@[fun_prop]
 theorem differentiableWithinAt_id : DifferentiableWithinAt 𝕜 id s x :=
   differentiableAt_id.differentiableWithinAt
 #align differentiable_within_at_id differentiableWithinAt_id
 
-@[simp]
+@[simp, fun_prop]
 theorem differentiable_id : Differentiable 𝕜 (id : E → E) := fun _ => differentiableAt_id
 #align differentiable_id differentiable_id
 
@@ -1105,6 +1125,7 @@ theorem differentiable_id : Differentiable 𝕜 (id : E → E) := fun _ => diffe
 theorem differentiable_id' : Differentiable 𝕜 fun x : E => x := fun _ => differentiableAt_id
 #align differentiable_id' differentiable_id'
 
+@[fun_prop]
 theorem differentiableOn_id : DifferentiableOn 𝕜 id s :=
   differentiable_id.differentiableOn
 #align differentiable_on_id differentiableOn_id
@@ -1135,6 +1156,7 @@ section Const
 
 /-! ### Derivative of a constant function -/
 
+@[fun_prop]
 theorem hasStrictFDerivAt_const (c : F) (x : E) :
     HasStrictFDerivAt (fun _ => c) (0 : E →L[𝕜] F) x :=
   (isLittleO_zero _ _).congr_left fun _ => by simp only [zero_apply, sub_self]
@@ -1145,20 +1167,23 @@ theorem hasFDerivAtFilter_const (c : F) (x : E) (L : Filter E) :
   .of_isLittleO <| (isLittleO_zero _ _).congr_left fun _ => by simp only [zero_apply, sub_self]
 #align has_fderiv_at_filter_const hasFDerivAtFilter_const
 
+@[fun_prop]
 theorem hasFDerivWithinAt_const (c : F) (x : E) (s : Set E) :
     HasFDerivWithinAt (fun _ => c) (0 : E →L[𝕜] F) s x :=
   hasFDerivAtFilter_const _ _ _
 #align has_fderiv_within_at_const hasFDerivWithinAt_const
 
+@[fun_prop]
 theorem hasFDerivAt_const (c : F) (x : E) : HasFDerivAt (fun _ => c) (0 : E →L[𝕜] F) x :=
   hasFDerivAtFilter_const _ _ _
 #align has_fderiv_at_const hasFDerivAt_const
 
-@[simp]
+@[simp, fun_prop]
 theorem differentiableAt_const (c : F) : DifferentiableAt 𝕜 (fun _ => c) x :=
   ⟨0, hasFDerivAt_const c x⟩
 #align differentiable_at_const differentiableAt_const
 
+@[fun_prop]
 theorem differentiableWithinAt_const (c : F) : DifferentiableWithinAt 𝕜 (fun _ => c) s x :=
   DifferentiableAt.differentiableWithinAt (differentiableAt_const _)
 #align differentiable_within_at_const differentiableWithinAt_const
@@ -1180,34 +1205,40 @@ theorem fderivWithin_const_apply (c : F) (hxs : UniqueDiffWithinAt 𝕜 s x) :
   exact fderiv_const_apply _
 #align fderiv_within_const_apply fderivWithin_const_apply
 
-@[simp]
+@[simp, fun_prop]
 theorem differentiable_const (c : F) : Differentiable 𝕜 fun _ : E => c := fun _ =>
   differentiableAt_const _
 #align differentiable_const differentiable_const
 
+@[fun_prop]
 theorem differentiableOn_const (c : F) : DifferentiableOn 𝕜 (fun _ => c) s :=
   (differentiable_const _).differentiableOn
 #align differentiable_on_const differentiableOn_const
 
+@[fun_prop]
 theorem hasFDerivWithinAt_singleton (f : E → F) (x : E) :
     HasFDerivWithinAt f (0 : E →L[𝕜] F) {x} x := by
   simp only [HasFDerivWithinAt, nhdsWithin_singleton, hasFDerivAtFilter_iff_isLittleO,
     isLittleO_pure, ContinuousLinearMap.zero_apply, sub_self]
 #align has_fderiv_within_at_singleton hasFDerivWithinAt_singleton
 
+@[fun_prop]
 theorem hasFDerivAt_of_subsingleton [h : Subsingleton E] (f : E → F) (x : E) :
     HasFDerivAt f (0 : E →L[𝕜] F) x := by
   rw [← hasFDerivWithinAt_univ, subsingleton_univ.eq_singleton_of_mem (mem_univ x)]
   exact hasFDerivWithinAt_singleton f x
 #align has_fderiv_at_of_subsingleton hasFDerivAt_of_subsingleton
 
+@[fun_prop]
 theorem differentiableOn_empty : DifferentiableOn 𝕜 f ∅ := fun _ => False.elim
 #align differentiable_on_empty differentiableOn_empty
 
+@[fun_prop]
 theorem differentiableOn_singleton : DifferentiableOn 𝕜 f {x} :=
   forall_eq.2 (hasFDerivWithinAt_singleton f x).differentiableWithinAt
 #align differentiable_on_singleton differentiableOn_singleton
 
+@[fun_prop]
 theorem Set.Subsingleton.differentiableOn (hs : s.Subsingleton) : DifferentiableOn 𝕜 f s :=
   hs.induction_on differentiableOn_empty fun _ => differentiableOn_singleton
 #align set.subsingleton.differentiable_on Set.Subsingleton.differentiableOn

chore: scope open Classical (#11199)

We remove all but one open Classicals, instead preferring to use open scoped Classical. The only real side-effect this led to is moving a couple declarations to use Exists.choose instead of Classical.choose.

The first few commits are explicitly labelled regex replaces for ease of review.

c747be0a

Diff

@@ -117,7 +117,8 @@ derivative, differentiable, Fréchet, calculus
 
 open Filter Asymptotics ContinuousLinearMap Set Metric
 
-open Topology Classical NNReal Filter Asymptotics ENNReal
+open scoped Classical
+open Topology NNReal Filter Asymptotics ENNReal
 
 noncomputable section

chore(Analysis/NormedSpace): split up OperatorNorm.lean (#10990)

Split the 2300-line behemoth OperatorNorm.lean into 8 smaller files, of which the largest is 600 lines.

7aeba51a

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
 -/
 import Mathlib.Analysis.Calculus.TangentCone
-import Mathlib.Analysis.NormedSpace.OperatorNorm
+import Mathlib.Analysis.NormedSpace.OperatorNorm.Asymptotics
 
 #align_import analysis.calculus.fderiv.basic from "leanprover-community/mathlib"@"41bef4ae1254365bc190aee63b947674d2977f01"

chore: remove stream-of-consciousness uses of have, replace and suffices (#10640)

No changes to tactic file, it's just boring fixes throughout the library.

This follows on from #6964.

Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

a13e8040

Diff

@@ -696,8 +696,8 @@ theorem fderivWithin_inter (ht : t ∈ 𝓝 x) : fderivWithin 𝕜 f (s ∩ t) x
 theorem fderivWithin_univ : fderivWithin 𝕜 f univ = fderiv 𝕜 f := by
   ext1 x
   nontriviality E
-  have H : 𝓝[univ \ {x}] x ≠ ⊥
-  · rw [← compl_eq_univ_diff, ← neBot_iff]
+  have H : 𝓝[univ \ {x}] x ≠ ⊥ := by
+    rw [← compl_eq_univ_diff, ← neBot_iff]
     exact Module.punctured_nhds_neBot 𝕜 E x
   simp [fderivWithin, fderiv, H]
 #align fderiv_within_univ fderivWithin_univ

chore: rename op_norm to opNorm (#10185)

Co-authored-by: adomani <adomani@gmail.com>

e3a011e5

Diff

@@ -337,7 +337,7 @@ on a neighborhood of `x₀` then its derivative at `x₀` has norm bounded by `C
 only assumes that `‖f x - f x₀‖ ≤ C * ‖x - x₀‖` in a neighborhood of `x`. -/
 theorem HasFDerivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (hf : HasFDerivAt f f' x₀)
     {C : ℝ} (hC₀ : 0 ≤ C) (hlip : ∀ᶠ x in 𝓝 x₀, ‖f x - f x₀‖ ≤ C * ‖x - x₀‖) : ‖f'‖ ≤ C := by
-  refine' le_of_forall_pos_le_add fun ε ε0 => op_norm_le_of_nhds_zero _ _
+  refine' le_of_forall_pos_le_add fun ε ε0 => opNorm_le_of_nhds_zero _ _
   exact add_nonneg hC₀ ε0.le
   rw [← map_add_left_nhds_zero x₀, eventually_map] at hlip
   filter_upwards [isLittleO_iff.1 (hasFDerivAt_iff_isLittleO_nhds_zero.1 hf) ε0, hlip] with y hy hyC

feat: The support of f ^ n (#9617)

This involves moving lemmas from Algebra.GroupPower.Ring to Algebra.GroupWithZero.Basic and changing some 0 < n assumptions to n ≠ 0.

From LeanAPAP

9d1a7d26

Diff

@@ -734,7 +734,7 @@ theorem Asymptotics.IsBigO.hasFDerivWithinAt {s : Set E} {x₀ : E} {n : ℕ}
     (h : f =O[𝓝[s] x₀] fun x => ‖x - x₀‖ ^ n) (hx₀ : x₀ ∈ s) (hn : 1 < n) :
     HasFDerivWithinAt f (0 : E →L[𝕜] F) s x₀ := by
   simp_rw [HasFDerivWithinAt, hasFDerivAtFilter_iff_isLittleO,
-    h.eq_zero_of_norm_pow_within hx₀ <| zero_lt_one.trans hn, zero_apply, sub_zero,
+    h.eq_zero_of_norm_pow_within hx₀ hn.ne_bot, zero_apply, sub_zero,
     h.trans_isLittleO ((isLittleO_pow_sub_sub x₀ hn).mono nhdsWithin_le_nhds)]
 set_option linter.uppercaseLean3 false in
 #align asymptotics.is_O.has_fderiv_within_at Asymptotics.IsBigO.hasFDerivWithinAt

chore(Topology/Basic): re-use variables; rename a : X to x : X (#9993)

Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr> Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>

20c7b4b8

Diff

@@ -779,7 +779,7 @@ theorem HasFDerivAtFilter.tendsto_nhds (hL : L ≤ 𝓝 x) (h : HasFDerivAtFilte
     refine' h.isBigO_sub.trans_tendsto (Tendsto.mono_left _ hL)
     rw [← sub_self x]
     exact tendsto_id.sub tendsto_const_nhds
-  have := this.add (@tendsto_const_nhds _ _ _ (f x) _)
+  have := this.add (tendsto_const_nhds (x := f x))
   rw [zero_add (f x)] at this
   exact this.congr (by simp only [sub_add_cancel, eq_self_iff_true, forall_const])
 #align has_fderiv_at_filter.tendsto_nhds HasFDerivAtFilter.tendsto_nhds

chore: reduce imports (#9830)

This uses the improved shake script from #9772 to reduce imports across mathlib. The corresponding noshake.json file has been added to #9772.

Co-authored-by: Mario Carneiro <di.gama@gmail.com>

f4c4ca61

Diff

@@ -3,7 +3,6 @@ Copyright (c) 2019 Jeremy Avigad. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
 -/
-import Mathlib.Analysis.Asymptotics.AsymptoticEquivalent
 import Mathlib.Analysis.Calculus.TangentCone
 import Mathlib.Analysis.NormedSpace.OperatorNorm

chore(Analysis,Geometry): remove almost all autoImplicit (#9691)

After this PR, no file in Geometry uses autoImplicit, and in Analysis it's scoped to six declarations.

51956bca

Diff

@@ -116,8 +116,6 @@ derivative, differentiable, Fréchet, calculus
 
 -/
 
-set_option autoImplicit true
-
 open Filter Asymptotics ContinuousLinearMap Set Metric
 
 open Topology Classical NNReal Filter Asymptotics ENNReal
@@ -1241,7 +1239,7 @@ theorem HasFDerivAt.of_nmem_tsupport (h : x ∉ tsupport f) :
     HasFDerivAt f (0 : E →L[𝕜] F) x :=
   (HasStrictFDerivAt.of_nmem_tsupport 𝕜 h).hasFDerivAt
 
-theorem HasFDerivWithinAt.of_not_mem_tsupport (h : x ∉ tsupport f) :
+theorem HasFDerivWithinAt.of_not_mem_tsupport {s : Set E} {x : E} (h : x ∉ tsupport f) :
     HasFDerivWithinAt f (0 : E →L[𝕜] F) s x :=
   (HasFDerivAt.of_nmem_tsupport 𝕜 h).hasFDerivWithinAt

chore(*): fix more names (#9593)

Grep for ^[^#].*deriv_within and fix all occurrences.

bdd7632e

Diff

@@ -1026,17 +1026,17 @@ theorem Filter.EventuallyEq.fderivWithin_eq (hs : f₁ =ᶠ[𝓝[s] x] f) (hx :
   simp only [fderivWithin, hs.hasFDerivWithinAt_iff hx]
 #align filter.eventually_eq.fderiv_within_eq Filter.EventuallyEq.fderivWithin_eq
 
-theorem Filter.EventuallyEq.fderiv_within' (hs : f₁ =ᶠ[𝓝[s] x] f) (ht : t ⊆ s) :
+theorem Filter.EventuallyEq.fderivWithin' (hs : f₁ =ᶠ[𝓝[s] x] f) (ht : t ⊆ s) :
     fderivWithin 𝕜 f₁ t =ᶠ[𝓝[s] x] fderivWithin 𝕜 f t :=
   (eventually_nhdsWithin_nhdsWithin.2 hs).mp <|
     eventually_mem_nhdsWithin.mono fun _y hys hs =>
       EventuallyEq.fderivWithin_eq (hs.filter_mono <| nhdsWithin_mono _ ht)
         (hs.self_of_nhdsWithin hys)
-#align filter.eventually_eq.fderiv_within' Filter.EventuallyEq.fderiv_within'
+#align filter.eventually_eq.fderiv_within' Filter.EventuallyEq.fderivWithin'
 
 protected theorem Filter.EventuallyEq.fderivWithin (hs : f₁ =ᶠ[𝓝[s] x] f) :
     fderivWithin 𝕜 f₁ s =ᶠ[𝓝[s] x] fderivWithin 𝕜 f s :=
-  hs.fderiv_within' Subset.rfl
+  hs.fderivWithin' Subset.rfl
 #align filter.eventually_eq.fderiv_within Filter.EventuallyEq.fderivWithin
 
 theorem Filter.EventuallyEq.fderivWithin_eq_nhds (h : f₁ =ᶠ[𝓝 x] f) :

refactor(FDeriv): use structure (#8907)

This way we can easily change the definition so that it works for topological vector spaces without generalizing any of the theorems right away.

49ee3b27

Diff

@@ -141,8 +141,9 @@ variable {G' : Type*} [NormedAddCommGroup G'] [NormedSpace 𝕜 G']
 is designed to be specialized for `L = 𝓝 x` (in `HasFDerivAt`), giving rise to the usual notion
 of Fréchet derivative, and for `L = 𝓝[s] x` (in `HasFDerivWithinAt`), giving rise to
 the notion of Fréchet derivative along the set `s`. -/
-def HasFDerivAtFilter (f : E → F) (f' : E →L[𝕜] F) (x : E) (L : Filter E) :=
-  (fun x' => f x' - f x - f' (x' - x)) =o[L] fun x' => x' - x
+@[mk_iff hasFDerivAtFilter_iff_isLittleO]
+structure HasFDerivAtFilter (f : E → F) (f' : E →L[𝕜] F) (x : E) (L : Filter E) : Prop where
+  of_isLittleO :: isLittleO : (fun x' => f x' - f x - f' (x' - x)) =o[L] fun x' => x' - x
 #align has_fderiv_at_filter HasFDerivAtFilter
 
 /-- A function `f` has the continuous linear map `f'` as derivative at `x` within a set `s` if
@@ -257,7 +258,7 @@ theorem HasFDerivWithinAt.lim (h : HasFDerivWithinAt f f' s x) {α : Type*} (l :
     constructor
     · apply tendsto_const_nhds.add (tangentConeAt.lim_zero l clim cdlim)
     · rwa [tendsto_principal]
-  have : (fun y => f y - f x - f' (y - x)) =o[𝓝[s] x] fun y => y - x := h
+  have : (fun y => f y - f x - f' (y - x)) =o[𝓝[s] x] fun y => y - x := h.isLittleO
   have : (fun n => f (x + d n) - f x - f' (x + d n - x)) =o[l] fun n => x + d n - x :=
     this.comp_tendsto tendsto_arg
   have : (fun n => f (x + d n) - f x - f' (d n)) =o[l] d := by simpa only [add_sub_cancel']
@@ -312,8 +313,8 @@ theorem hasFDerivAtFilter_iff_tendsto :
   have h : ∀ x', ‖x' - x‖ = 0 → ‖f x' - f x - f' (x' - x)‖ = 0 := fun x' hx' => by
     rw [sub_eq_zero.1 (norm_eq_zero.1 hx')]
     simp
-  unfold HasFDerivAtFilter
-  rw [← isLittleO_norm_left, ← isLittleO_norm_right, isLittleO_iff_tendsto h]
+  rw [hasFDerivAtFilter_iff_isLittleO, ← isLittleO_norm_left, ← isLittleO_norm_right,
+    isLittleO_iff_tendsto h]
   exact tendsto_congr fun _ => div_eq_inv_mul _ _
 #align has_fderiv_at_filter_iff_tendsto hasFDerivAtFilter_iff_tendsto
 
@@ -330,7 +331,7 @@ theorem hasFDerivAt_iff_tendsto :
 
 theorem hasFDerivAt_iff_isLittleO_nhds_zero :
     HasFDerivAt f f' x ↔ (fun h : E => f (x + h) - f x - f' h) =o[𝓝 0] fun h => h := by
-  rw [HasFDerivAt, HasFDerivAtFilter, ← map_add_left_nhds_zero x, isLittleO_map]
+  rw [HasFDerivAt, hasFDerivAtFilter_iff_isLittleO, ← map_add_left_nhds_zero x, isLittleO_map]
   simp [(· ∘ ·)]
 #align has_fderiv_at_iff_is_o_nhds_zero hasFDerivAt_iff_isLittleO_nhds_zero
 
@@ -368,7 +369,7 @@ theorem HasFDerivAt.le_of_lipschitz {f : E → F} {f' : E →L[𝕜] F} {x₀ :
 
 nonrec theorem HasFDerivAtFilter.mono (h : HasFDerivAtFilter f f' x L₂) (hst : L₁ ≤ L₂) :
     HasFDerivAtFilter f f' x L₁ :=
-  h.mono hst
+  .of_isLittleO <| h.isLittleO.mono hst
 #align has_fderiv_at_filter.mono HasFDerivAtFilter.mono
 
 theorem HasFDerivWithinAt.mono_of_mem (h : HasFDerivWithinAt f f' t x) (hst : t ∈ 𝓝[s] x) :
@@ -420,7 +421,7 @@ lemma hasFDerivWithinAt_of_isOpen (h : IsOpen s) (hx : x ∈ s) :
 theorem hasFDerivWithinAt_insert {y : E} :
     HasFDerivWithinAt f f' (insert y s) x ↔ HasFDerivWithinAt f f' s x := by
   rcases eq_or_ne x y with (rfl | h)
-  · simp_rw [HasFDerivWithinAt, HasFDerivAtFilter]
+  · simp_rw [HasFDerivWithinAt, hasFDerivAtFilter_iff_isLittleO]
     apply Asymptotics.isLittleO_insert
     simp only [sub_self, map_zero]
   refine' ⟨fun h => h.mono <| subset_insert y s, fun hf => hf.mono_of_mem _⟩
@@ -449,13 +450,13 @@ set_option linter.uppercaseLean3 false in
 
 theorem HasFDerivAtFilter.isBigO_sub (h : HasFDerivAtFilter f f' x L) :
     (fun x' => f x' - f x) =O[L] fun x' => x' - x :=
-  h.isBigO.congr_of_sub.2 (f'.isBigO_sub _ _)
+  h.isLittleO.isBigO.congr_of_sub.2 (f'.isBigO_sub _ _)
 set_option linter.uppercaseLean3 false in
 #align has_fderiv_at_filter.is_O_sub HasFDerivAtFilter.isBigO_sub
 
 protected theorem HasStrictFDerivAt.hasFDerivAt (hf : HasStrictFDerivAt f f' x) :
     HasFDerivAt f f' x := by
-  rw [HasFDerivAt, HasFDerivAtFilter, isLittleO_iff]
+  rw [HasFDerivAt, hasFDerivAtFilter_iff_isLittleO, isLittleO_iff]
   exact fun c hc => tendsto_id.prod_mk_nhds tendsto_const_nhds (isLittleO_iff.1 hf hc)
 #align has_strict_fderiv_at.has_fderiv_at HasStrictFDerivAt.hasFDerivAt
 
@@ -513,7 +514,7 @@ theorem hasFDerivWithinAt_inter (h : t ∈ 𝓝 x) :
 theorem HasFDerivWithinAt.union (hs : HasFDerivWithinAt f f' s x)
     (ht : HasFDerivWithinAt f f' t x) : HasFDerivWithinAt f f' (s ∪ t) x := by
   simp only [HasFDerivWithinAt, nhdsWithin_union]
-  exact hs.sup ht
+  exact .of_isLittleO <| hs.isLittleO.sup ht.isLittleO
 #align has_fderiv_within_at.union HasFDerivWithinAt.union
 
 theorem HasFDerivWithinAt.hasFDerivAt (h : HasFDerivWithinAt f f' s x) (hs : s ∈ 𝓝 x) :
@@ -530,7 +531,7 @@ theorem DifferentiableWithinAt.differentiableAt (h : DifferentiableWithinAt 𝕜
 as this statement is empty. -/
 theorem HasFDerivWithinAt.of_nhdsWithin_eq_bot (h : 𝓝[s\{x}] x = ⊥) :
     HasFDerivWithinAt f f' s x := by
-  rw [← hasFDerivWithinAt_diff_singleton x, HasFDerivWithinAt, h]
+  rw [← hasFDerivWithinAt_diff_singleton x, HasFDerivWithinAt, h, hasFDerivAtFilter_iff_isLittleO]
   apply isLittleO_bot
 
 /-- If `x` is not in the closure of `s`, then `f` has any derivative at `x` within `s`,
@@ -735,7 +736,7 @@ theorem fderivWithin_mem_iff {f : E → F} {t : Set E} {s : Set (E →L[𝕜] F)
 theorem Asymptotics.IsBigO.hasFDerivWithinAt {s : Set E} {x₀ : E} {n : ℕ}
     (h : f =O[𝓝[s] x₀] fun x => ‖x - x₀‖ ^ n) (hx₀ : x₀ ∈ s) (hn : 1 < n) :
     HasFDerivWithinAt f (0 : E →L[𝕜] F) s x₀ := by
-  simp_rw [HasFDerivWithinAt, HasFDerivAtFilter,
+  simp_rw [HasFDerivWithinAt, hasFDerivAtFilter_iff_isLittleO,
     h.eq_zero_of_norm_pow_within hx₀ <| zero_lt_one.trans hn, zero_apply, sub_zero,
     h.trans_isLittleO ((isLittleO_pow_sub_sub x₀ hn).mono nhdsWithin_le_nhds)]
 set_option linter.uppercaseLean3 false in
@@ -831,7 +832,7 @@ theorem HasFDerivAtFilter.isBigO_sub_rev (hf : HasFDerivAtFilter f f' x L) {C}
     (hf' : AntilipschitzWith C f') : (fun x' => x' - x) =O[L] fun x' => f x' - f x :=
   have : (fun x' => x' - x) =O[L] fun x' => f' (x' - x) :=
     isBigO_iff.2 ⟨C, eventually_of_forall fun _ => ZeroHomClass.bound_of_antilipschitz f' hf' _⟩
-  (this.trans (hf.trans_isBigO this).right_isBigO_add).congr (fun _ => rfl) fun _ =>
+  (this.trans (hf.isLittleO.trans_isBigO this).right_isBigO_add).congr (fun _ => rfl) fun _ =>
     sub_add_cancel _ _
 set_option linter.uppercaseLean3 false in
 #align has_fderiv_at_filter.is_O_sub_rev HasFDerivAtFilter.isBigO_sub_rev
@@ -915,9 +916,9 @@ theorem HasStrictFDerivAt.congr_of_eventuallyEq (h : HasStrictFDerivAt f f' x)
 #align has_strict_fderiv_at.congr_of_eventually_eq HasStrictFDerivAt.congr_of_eventuallyEq
 
 theorem Filter.EventuallyEq.hasFDerivAtFilter_iff (h₀ : f₀ =ᶠ[L] f₁) (hx : f₀ x = f₁ x)
-    (h₁ : ∀ x, f₀' x = f₁' x) : HasFDerivAtFilter f₀ f₀' x L ↔ HasFDerivAtFilter f₁ f₁' x L :=
-  isLittleO_congr (h₀.mono fun y hy => by simp only [hy, h₁, hx])
-    (eventually_of_forall fun _ => _root_.rfl)
+    (h₁ : ∀ x, f₀' x = f₁' x) : HasFDerivAtFilter f₀ f₀' x L ↔ HasFDerivAtFilter f₁ f₁' x L := by
+  simp only [hasFDerivAtFilter_iff_isLittleO]
+  exact isLittleO_congr (h₀.mono fun y hy => by simp only [hy, h₁, hx]) .rfl
 #align filter.eventually_eq.has_fderiv_at_filter_iff Filter.EventuallyEq.hasFDerivAtFilter_iff
 
 theorem HasFDerivAtFilter.congr_of_eventuallyEq (h : HasFDerivAtFilter f f' x L) (hL : f₁ =ᶠ[L] f)
@@ -1073,7 +1074,7 @@ theorem hasStrictFDerivAt_id (x : E) : HasStrictFDerivAt id (id 𝕜 E) x :=
 #align has_strict_fderiv_at_id hasStrictFDerivAt_id
 
 theorem hasFDerivAtFilter_id (x : E) (L : Filter E) : HasFDerivAtFilter id (id 𝕜 E) x L :=
-  (isLittleO_zero _ _).congr_left <| by simp
+  .of_isLittleO <| (isLittleO_zero _ _).congr_left <| by simp
 #align has_fderiv_at_filter_id hasFDerivAtFilter_id
 
 theorem hasFDerivWithinAt_id (x : E) (s : Set E) : HasFDerivWithinAt id (id 𝕜 E) s x :=
@@ -1143,7 +1144,7 @@ theorem hasStrictFDerivAt_const (c : F) (x : E) :
 
 theorem hasFDerivAtFilter_const (c : F) (x : E) (L : Filter E) :
     HasFDerivAtFilter (fun _ => c) (0 : E →L[𝕜] F) x L :=
-  (isLittleO_zero _ _).congr_left fun _ => by simp only [zero_apply, sub_self]
+  .of_isLittleO <| (isLittleO_zero _ _).congr_left fun _ => by simp only [zero_apply, sub_self]
 #align has_fderiv_at_filter_const hasFDerivAtFilter_const
 
 theorem hasFDerivWithinAt_const (c : F) (x : E) (s : Set E) :
@@ -1192,8 +1193,8 @@ theorem differentiableOn_const (c : F) : DifferentiableOn 𝕜 (fun _ => c) s :=
 
 theorem hasFDerivWithinAt_singleton (f : E → F) (x : E) :
     HasFDerivWithinAt f (0 : E →L[𝕜] F) {x} x := by
-  simp only [HasFDerivWithinAt, nhdsWithin_singleton, HasFDerivAtFilter, isLittleO_pure,
-    ContinuousLinearMap.zero_apply, sub_self]
+  simp only [HasFDerivWithinAt, nhdsWithin_singleton, hasFDerivAtFilter_iff_isLittleO,
+    isLittleO_pure, ContinuousLinearMap.zero_apply, sub_self]
 #align has_fderiv_within_at_singleton hasFDerivWithinAt_singleton
 
 theorem hasFDerivAt_of_subsingleton [h : Subsingleton E] (f : E → F) (x : E) :

chore(Deriv): golf (#8899)

Assorted golf I did while working on a refactor. Submitting as a separate PR.

Move not_differentiableAt_abs_zero to Calculus.Deriv.Add, golf.
Rename HasFDerivWithinAt_of_nhdsWithin_eq_bot to HasFDerivWithinAt.of_nhdsWithin_eq_bot, golf.
Protect Filter.EventuallyEq.rfl.
Golf here and there.

5ef74df5

Diff

@@ -528,32 +528,24 @@ theorem DifferentiableWithinAt.differentiableAt (h : DifferentiableWithinAt 𝕜
 
 /-- If `x` is isolated in `s`, then `f` has any derivative at `x` within `s`,
 as this statement is empty. -/
-theorem HasFDerivWithinAt_of_nhdsWithin_eq_bot (h : 𝓝[s\{x}] x = ⊥) :
+theorem HasFDerivWithinAt.of_nhdsWithin_eq_bot (h : 𝓝[s\{x}] x = ⊥) :
     HasFDerivWithinAt f f' s x := by
-  by_cases hx : x ∈ s
-  · have : s = s\{x} ∪ {x} := by simpa using (insert_eq_self.2 hx).symm
-    have A : 𝓝[s] x = 𝓝[s\{x}] x ⊔ 𝓟 {x} := by
-      conv_lhs => rw [this]
-      simp only [union_singleton, nhdsWithin_insert, sup_comm, principal_singleton]
-    simp [HasFDerivWithinAt, HasFDerivAtFilter, A, h]
-  · rw [diff_singleton_eq_self hx] at h
-    simp [HasFDerivWithinAt, HasFDerivAtFilter, h]
+  rw [← hasFDerivWithinAt_diff_singleton x, HasFDerivWithinAt, h]
+  apply isLittleO_bot
 
 /-- If `x` is not in the closure of `s`, then `f` has any derivative at `x` within `s`,
 as this statement is empty. -/
-theorem hasFDerivWithinAt_of_nmem_closure (h : x ∉ closure s) : HasFDerivWithinAt f f' s x := by
-  simp only [mem_closure_iff_nhdsWithin_neBot, neBot_iff, Ne.def, Classical.not_not] at h
-  simp [HasFDerivWithinAt, HasFDerivAtFilter, h, IsLittleO, IsBigOWith]
+theorem hasFDerivWithinAt_of_nmem_closure (h : x ∉ closure s) : HasFDerivWithinAt f f' s x :=
+  .of_nhdsWithin_eq_bot <| eq_bot_mono (nhdsWithin_mono _ (diff_subset _ _)) <| by
+    rwa [mem_closure_iff_nhdsWithin_neBot, not_neBot] at h
 #align has_fderiv_within_at_of_not_mem_closure hasFDerivWithinAt_of_nmem_closure
 
 theorem DifferentiableWithinAt.hasFDerivWithinAt (h : DifferentiableWithinAt 𝕜 f s x) :
     HasFDerivWithinAt f (fderivWithin 𝕜 f s x) s x := by
   by_cases H : 𝓝[s \ {x}] x = ⊥
-  · exact HasFDerivWithinAt_of_nhdsWithin_eq_bot H
-  · simp only [fderivWithin]
-    rw [if_neg H]
-    dsimp only [DifferentiableWithinAt] at h
-    rw [dif_pos h]
+  · exact .of_nhdsWithin_eq_bot H
+  · unfold DifferentiableWithinAt at h
+    rw [fderivWithin, if_neg H, dif_pos h]
     exact Classical.choose_spec h
 #align differentiable_within_at.has_fderiv_within_at DifferentiableWithinAt.hasFDerivWithinAt
 
@@ -705,15 +697,11 @@ theorem fderivWithin_inter (ht : t ∈ 𝓝 x) : fderivWithin 𝕜 f (s ∩ t) x
 @[simp]
 theorem fderivWithin_univ : fderivWithin 𝕜 f univ = fderiv 𝕜 f := by
   ext1 x
-  by_cases H : 𝓝[univ \ {x}] x = ⊥
-  · have : Subsingleton E := by
-      apply not_nontrivial_iff_subsingleton.1
-      contrapose! H
-      have : (𝓝[{x}ᶜ] x).NeBot := Module.punctured_nhds_neBot 𝕜 E x
-      rw [compl_eq_univ_diff] at this
-      exact NeBot.ne this
-    exact Subsingleton.elim _ _
-  · simp [fderivWithin, fderiv, H]
+  nontriviality E
+  have H : 𝓝[univ \ {x}] x ≠ ⊥
+  · rw [← compl_eq_univ_diff, ← neBot_iff]
+    exact Module.punctured_nhds_neBot 𝕜 E x
+  simp [fderivWithin, fderiv, H]
 #align fderiv_within_univ fderivWithin_univ
 
 theorem fderivWithin_of_mem_nhds (h : s ∈ 𝓝 x) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x := by
@@ -905,7 +893,7 @@ theorem fderivWithin_eventually_congr_set (h : s =ᶠ[𝓝 x] t) :
 
 theorem Filter.EventuallyEq.hasStrictFDerivAt_iff (h : f₀ =ᶠ[𝓝 x] f₁) (h' : ∀ y, f₀' y = f₁' y) :
     HasStrictFDerivAt f₀ f₀' x ↔ HasStrictFDerivAt f₁ f₁' x := by
-  refine' isLittleO_congr ((h.prod_mk_nhds h).mono _) (eventually_of_forall fun _ => _root_.rfl)
+  refine' isLittleO_congr ((h.prod_mk_nhds h).mono _) .rfl
   rintro p ⟨hp₁, hp₂⟩
   simp only [*]
 #align filter.eventually_eq.has_strict_fderiv_at_iff Filter.EventuallyEq.hasStrictFDerivAt_iff
@@ -1148,7 +1136,6 @@ section Const
 
 /-! ### Derivative of a constant function -/
 
-
 theorem hasStrictFDerivAt_const (c : F) (x : E) :
     HasStrictFDerivAt (fun _ => c) (0 : E →L[𝕜] F) x :=
   (isLittleO_zero _ _).congr_left fun _ => by simp only [zero_apply, sub_self]

feat(Calculus/FDeriv): add DifferentiableAt.isBigO_sub (#8352)

rename HasFDerivWithinAt.isBigO to HasFDerivWithinAt.isBigO_sub;
rename HasFDerivAt.isBigO to HasFDerivAt.isBigO_sub;
add DifferentiableWithinAt.isBigO_sub;
add DifferentiableAt.isBigO_sub.

b9566b3d

Diff

@@ -760,17 +760,25 @@ theorem Asymptotics.IsBigO.hasFDerivAt {x₀ : E} {n : ℕ} (h : f =O[𝓝 x₀]
 set_option linter.uppercaseLean3 false in
 #align asymptotics.is_O.has_fderiv_at Asymptotics.IsBigO.hasFDerivAt
 
-nonrec theorem HasFDerivWithinAt.isBigO {f : E → F} {s : Set E} {x₀ : E} {f' : E →L[𝕜] F}
-    (h : HasFDerivWithinAt f f' s x₀) : (fun x => f x - f x₀) =O[𝓝[s] x₀] fun x => x - x₀ := by
-  simpa only [sub_add_cancel] using h.isBigO.add (isBigO_sub f' (𝓝[s] x₀) x₀)
+nonrec theorem HasFDerivWithinAt.isBigO_sub {f : E → F} {s : Set E} {x₀ : E} {f' : E →L[𝕜] F}
+    (h : HasFDerivWithinAt f f' s x₀) : (f · - f x₀) =O[𝓝[s] x₀] (· - x₀) :=
+  h.isBigO_sub
 set_option linter.uppercaseLean3 false in
-#align has_fderiv_within_at.is_O HasFDerivWithinAt.isBigO
+#align has_fderiv_within_at.is_O HasFDerivWithinAt.isBigO_sub
 
-nonrec theorem HasFDerivAt.isBigO {f : E → F} {x₀ : E} {f' : E →L[𝕜] F} (h : HasFDerivAt f f' x₀) :
-    (fun x => f x - f x₀) =O[𝓝 x₀] fun x => x - x₀ := by
-  simpa only [sub_add_cancel] using h.isBigO.add (isBigO_sub f' (𝓝 x₀) x₀)
+lemma DifferentiableWithinAt.isBigO_sub {f : E → F} {s : Set E} {x₀ : E}
+    (h : DifferentiableWithinAt 𝕜 f s x₀) : (f · - f x₀) =O[𝓝[s] x₀] (· - x₀) :=
+  h.hasFDerivWithinAt.isBigO_sub
+
+nonrec theorem HasFDerivAt.isBigO_sub {f : E → F} {x₀ : E} {f' : E →L[𝕜] F}
+    (h : HasFDerivAt f f' x₀) : (f · - f x₀) =O[𝓝 x₀] (· - x₀) :=
+  h.isBigO_sub
 set_option linter.uppercaseLean3 false in
-#align has_fderiv_at.is_O HasFDerivAt.isBigO
+#align has_fderiv_at.is_O HasFDerivAt.isBigO_sub
+
+nonrec theorem DifferentiableAt.isBigO_sub {f : E → F} {x₀ : E} (h : DifferentiableAt 𝕜 f x₀) :
+    (f · - f x₀) =O[𝓝 x₀] (· - x₀) :=
+  h.hasFDerivAt.isBigO_sub
 
 end FDerivProperties

feat: lemmas analogous to fderiv_within_of_isOpen (#8057)

from the project towards Sard's theorem

Co-authored-by: Michael Rothgang <rothgami@math.hu-berlin.de>

430ef656

Diff

@@ -409,6 +409,14 @@ theorem hasFDerivWithinAt_univ : HasFDerivWithinAt f f' univ x ↔ HasFDerivAt f
 alias ⟨HasFDerivWithinAt.hasFDerivAt_of_univ, _⟩ := hasFDerivWithinAt_univ
 #align has_fderiv_within_at.has_fderiv_at_of_univ HasFDerivWithinAt.hasFDerivAt_of_univ
 
+theorem hasFDerivWithinAt_of_mem_nhds (h : s ∈ 𝓝 x) :
+    HasFDerivWithinAt f f' s x ↔ HasFDerivAt f f' x := by
+  rw [HasFDerivAt, HasFDerivWithinAt, nhdsWithin_eq_nhds.mpr h]
+
+lemma hasFDerivWithinAt_of_isOpen (h : IsOpen s) (hx : x ∈ s) :
+    HasFDerivWithinAt f f' s x ↔ HasFDerivAt f f' x :=
+  hasFDerivWithinAt_of_mem_nhds (h.mem_nhds hx)
+
 theorem hasFDerivWithinAt_insert {y : E} :
     HasFDerivWithinAt f f' (insert y s) x ↔ HasFDerivWithinAt f f' s x := by
   rcases eq_or_ne x y with (rfl | h)
@@ -712,9 +720,9 @@ theorem fderivWithin_of_mem_nhds (h : s ∈ 𝓝 x) : fderivWithin 𝕜 f s x =
   rw [← fderivWithin_univ, ← univ_inter s, fderivWithin_inter h]
 #align fderiv_within_of_mem_nhds fderivWithin_of_mem_nhds
 
-theorem fderivWithin_of_open (hs : IsOpen s) (hx : x ∈ s) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
+theorem fderivWithin_of_isOpen (hs : IsOpen s) (hx : x ∈ s) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
   fderivWithin_of_mem_nhds (hs.mem_nhds hx)
-#align fderiv_within_of_open fderivWithin_of_open
+#align fderiv_within_of_open fderivWithin_of_isOpen
 
 theorem fderivWithin_eq_fderiv (hs : UniqueDiffWithinAt 𝕜 s x) (h : DifferentiableAt 𝕜 f x) :
     fderivWithin 𝕜 f s x = fderiv 𝕜 f x := by

feat: better junk value for fderivWithin at isolated points (#7117)

Currently, when x is isolated in the set s, then fderivWithin k f s x can be anything. We modify the definition by ensuring that it is equal to 0 in this case. This ensures that the range of derivWithin is always contained in the closure of the span of the range of f.

6a80fec3

Diff

@@ -180,14 +180,16 @@ def DifferentiableAt (f : E → F) (x : E) :=
 #align differentiable_at DifferentiableAt
 
 /-- If `f` has a derivative at `x` within `s`, then `fderivWithin 𝕜 f s x` is such a derivative.
-Otherwise, it is set to `0`. -/
-def fderivWithin (f : E → F) (s : Set E) (x : E) : E →L[𝕜] F :=
+Otherwise, it is set to `0`. If `x` is isolated in `s`, we take the derivative within `s` to
+be zero for convenience. -/
+irreducible_def fderivWithin (f : E → F) (s : Set E) (x : E) : E →L[𝕜] F :=
+  if 𝓝[s \ {x}] x = ⊥ then 0 else
   if h : ∃ f', HasFDerivWithinAt f f' s x then Classical.choose h else 0
 #align fderiv_within fderivWithin
 
 /-- If `f` has a derivative at `x`, then `fderiv 𝕜 f x` is such a derivative. Otherwise, it is
 set to `0`. -/
-def fderiv (f : E → F) (x : E) : E →L[𝕜] F :=
+irreducible_def fderiv (f : E → F) (x : E) : E →L[𝕜] F :=
   if h : ∃ f', HasFDerivAt f f' x then Classical.choose h else 0
 #align fderiv fderiv
 
@@ -215,6 +217,15 @@ variable {s t : Set E}
 
 variable {L L₁ L₂ : Filter E}
 
+theorem fderivWithin_zero_of_isolated (h : 𝓝[s \ {x}] x = ⊥) : fderivWithin 𝕜 f s x = 0 := by
+  rw [fderivWithin, if_pos h]
+
+theorem fderivWithin_zero_of_nmem_closure (h : x ∉ closure s) : fderivWithin 𝕜 f s x = 0 := by
+  apply fderivWithin_zero_of_isolated
+  simp only [mem_closure_iff_nhdsWithin_neBot, neBot_iff, Ne.def, Classical.not_not] at h
+  rw [eq_bot_iff, ← h]
+  exact nhdsWithin_mono _ (diff_subset s {x})
+
 theorem fderivWithin_zero_of_not_differentiableWithinAt (h : ¬DifferentiableWithinAt 𝕜 f s x) :
     fderivWithin 𝕜 f s x = 0 := by
   have : ¬∃ f', HasFDerivWithinAt f f' s x := h
@@ -507,19 +518,41 @@ theorem DifferentiableWithinAt.differentiableAt (h : DifferentiableWithinAt 𝕜
   h.imp fun _ hf' => hf'.hasFDerivAt hs
 #align differentiable_within_at.differentiable_at DifferentiableWithinAt.differentiableAt
 
+/-- If `x` is isolated in `s`, then `f` has any derivative at `x` within `s`,
+as this statement is empty. -/
+theorem HasFDerivWithinAt_of_nhdsWithin_eq_bot (h : 𝓝[s\{x}] x = ⊥) :
+    HasFDerivWithinAt f f' s x := by
+  by_cases hx : x ∈ s
+  · have : s = s\{x} ∪ {x} := by simpa using (insert_eq_self.2 hx).symm
+    have A : 𝓝[s] x = 𝓝[s\{x}] x ⊔ 𝓟 {x} := by
+      conv_lhs => rw [this]
+      simp only [union_singleton, nhdsWithin_insert, sup_comm, principal_singleton]
+    simp [HasFDerivWithinAt, HasFDerivAtFilter, A, h]
+  · rw [diff_singleton_eq_self hx] at h
+    simp [HasFDerivWithinAt, HasFDerivAtFilter, h]
+
+/-- If `x` is not in the closure of `s`, then `f` has any derivative at `x` within `s`,
+as this statement is empty. -/
+theorem hasFDerivWithinAt_of_nmem_closure (h : x ∉ closure s) : HasFDerivWithinAt f f' s x := by
+  simp only [mem_closure_iff_nhdsWithin_neBot, neBot_iff, Ne.def, Classical.not_not] at h
+  simp [HasFDerivWithinAt, HasFDerivAtFilter, h, IsLittleO, IsBigOWith]
+#align has_fderiv_within_at_of_not_mem_closure hasFDerivWithinAt_of_nmem_closure
+
 theorem DifferentiableWithinAt.hasFDerivWithinAt (h : DifferentiableWithinAt 𝕜 f s x) :
     HasFDerivWithinAt f (fderivWithin 𝕜 f s x) s x := by
-  dsimp only [fderivWithin]
-  dsimp only [DifferentiableWithinAt] at h
-  rw [dif_pos h]
-  exact Classical.choose_spec h
+  by_cases H : 𝓝[s \ {x}] x = ⊥
+  · exact HasFDerivWithinAt_of_nhdsWithin_eq_bot H
+  · simp only [fderivWithin]
+    rw [if_neg H]
+    dsimp only [DifferentiableWithinAt] at h
+    rw [dif_pos h]
+    exact Classical.choose_spec h
 #align differentiable_within_at.has_fderiv_within_at DifferentiableWithinAt.hasFDerivWithinAt
 
 theorem DifferentiableAt.hasFDerivAt (h : DifferentiableAt 𝕜 f x) :
     HasFDerivAt f (fderiv 𝕜 f x) x := by
-  dsimp only [fderiv]
   dsimp only [DifferentiableAt] at h
-  rw [dif_pos h]
+  rw [fderiv, dif_pos h]
   exact Classical.choose_spec h
 #align differentiable_at.has_fderiv_at DifferentiableAt.hasFDerivAt
 
@@ -584,13 +617,6 @@ protected theorem HasFDerivWithinAt.fderivWithin (h : HasFDerivWithinAt f f' s x
   (hxs.eq h h.differentiableWithinAt.hasFDerivWithinAt).symm
 #align has_fderiv_within_at.fderiv_within HasFDerivWithinAt.fderivWithin
 
-/-- If `x` is not in the closure of `s`, then `f` has any derivative at `x` within `s`,
-as this statement is empty. -/
-theorem hasFDerivWithinAt_of_not_mem_closure (h : x ∉ closure s) : HasFDerivWithinAt f f' s x := by
-  simp only [mem_closure_iff_nhdsWithin_neBot, neBot_iff, Ne.def, Classical.not_not] at h
-  simp [HasFDerivWithinAt, HasFDerivAtFilter, h, IsLittleO, IsBigOWith]
-#align has_fderiv_within_at_of_not_mem_closure hasFDerivWithinAt_of_not_mem_closure
-
 theorem DifferentiableWithinAt.mono (h : DifferentiableWithinAt 𝕜 f t x) (st : s ⊆ t) :
     DifferentiableWithinAt 𝕜 f s x := by
   rcases h with ⟨f', hf'⟩
@@ -662,18 +688,30 @@ theorem fderivWithin_subset (st : s ⊆ t) (ht : UniqueDiffWithinAt 𝕜 s x)
 #align fderiv_within_subset fderivWithin_subset
 
 theorem fderivWithin_inter (ht : t ∈ 𝓝 x) : fderivWithin 𝕜 f (s ∩ t) x = fderivWithin 𝕜 f s x := by
-  simp only [fderivWithin, hasFDerivWithinAt_inter ht]
+  have A : 𝓝[(s ∩ t) \ {x}] x = 𝓝[s \ {x}] x := by
+    have : (s ∩ t) \ {x} = (s \ {x}) ∩ t := by rw [inter_comm, inter_diff_assoc, inter_comm]
+    rw [this, ← nhdsWithin_restrict' _ ht]
+  simp [fderivWithin, A, hasFDerivWithinAt_inter ht]
 #align fderiv_within_inter fderivWithin_inter
 
-theorem fderivWithin_of_mem_nhds (h : s ∈ 𝓝 x) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x := by
-  simp only [fderiv, fderivWithin, HasFDerivAt, HasFDerivWithinAt, nhdsWithin_eq_nhds.2 h]
-#align fderiv_within_of_mem_nhds fderivWithin_of_mem_nhds
-
 @[simp]
-theorem fderivWithin_univ : fderivWithin 𝕜 f univ = fderiv 𝕜 f :=
-  funext fun _ => fderivWithin_of_mem_nhds univ_mem
+theorem fderivWithin_univ : fderivWithin 𝕜 f univ = fderiv 𝕜 f := by
+  ext1 x
+  by_cases H : 𝓝[univ \ {x}] x = ⊥
+  · have : Subsingleton E := by
+      apply not_nontrivial_iff_subsingleton.1
+      contrapose! H
+      have : (𝓝[{x}ᶜ] x).NeBot := Module.punctured_nhds_neBot 𝕜 E x
+      rw [compl_eq_univ_diff] at this
+      exact NeBot.ne this
+    exact Subsingleton.elim _ _
+  · simp [fderivWithin, fderiv, H]
 #align fderiv_within_univ fderivWithin_univ
 
+theorem fderivWithin_of_mem_nhds (h : s ∈ 𝓝 x) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x := by
+  rw [← fderivWithin_univ, ← univ_inter s, fderivWithin_inter h]
+#align fderiv_within_of_mem_nhds fderivWithin_of_mem_nhds
+
 theorem fderivWithin_of_open (hs : IsOpen s) (hx : x ∈ s) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
   fderivWithin_of_mem_nhds (hs.mem_nhds hx)
 #align fderiv_within_of_open fderivWithin_of_open
@@ -828,7 +866,11 @@ theorem differentiableWithinAt_congr_set (h : s =ᶠ[𝓝 x] t) :
 
 theorem fderivWithin_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
     fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x := by
-  simp only [fderivWithin, hasFDerivWithinAt_congr_set' y h]
+  have : s =ᶠ[𝓝[{x}ᶜ] x] t := nhdsWithin_compl_singleton_le x y h
+  have : 𝓝[s \ {x}] x = 𝓝[t \ {x}] x := by
+    simpa only [set_eventuallyEq_iff_inf_principal, ← nhdsWithin_inter', diff_eq,
+      inter_comm] using this
+  simp only [fderivWithin, hasFDerivWithinAt_congr_set' y h, this]
 #align fderiv_within_congr_set' fderivWithin_congr_set'
 
 theorem fderivWithin_congr_set (h : s =ᶠ[𝓝 x] t) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
@@ -1186,21 +1228,21 @@ open Function
 variable (𝕜 : Type*) {E F : Type*} [NontriviallyNormedField 𝕜] [NormedAddCommGroup E]
   [NormedSpace 𝕜 E] [NormedAddCommGroup F] [NormedSpace 𝕜 F] {f : E → F} {x : E}
 
-theorem HasStrictFDerivAt.of_not_mem_tsupport (h : x ∉ tsupport f) :
+theorem HasStrictFDerivAt.of_nmem_tsupport (h : x ∉ tsupport f) :
     HasStrictFDerivAt f (0 : E →L[𝕜] F) x := by
   rw [not_mem_tsupport_iff_eventuallyEq] at h
   exact (hasStrictFDerivAt_const (0 : F) x).congr_of_eventuallyEq h.symm
 
-theorem HasFDerivAt.of_not_mem_tsupport (h : x ∉ tsupport f) :
+theorem HasFDerivAt.of_nmem_tsupport (h : x ∉ tsupport f) :
     HasFDerivAt f (0 : E →L[𝕜] F) x :=
-  (HasStrictFDerivAt.of_not_mem_tsupport 𝕜 h).hasFDerivAt
+  (HasStrictFDerivAt.of_nmem_tsupport 𝕜 h).hasFDerivAt
 
 theorem HasFDerivWithinAt.of_not_mem_tsupport (h : x ∉ tsupport f) :
     HasFDerivWithinAt f (0 : E →L[𝕜] F) s x :=
-  (HasFDerivAt.of_not_mem_tsupport 𝕜 h).hasFDerivWithinAt
+  (HasFDerivAt.of_nmem_tsupport 𝕜 h).hasFDerivWithinAt
 
 theorem fderiv_of_not_mem_tsupport (h : x ∉ tsupport f) : fderiv 𝕜 f x = 0 :=
-  (HasFDerivAt.of_not_mem_tsupport 𝕜 h).fderiv
+  (HasFDerivAt.of_nmem_tsupport 𝕜 h).fderiv
 
 theorem support_fderiv_subset : support (fderiv 𝕜 f) ⊆ tsupport f := fun x ↦ by
   rw [← not_imp_not, nmem_support]

feat: cleanup API around differentiable functions (#7004)

First calculus prerequisites for Rademacher theorem in #7003.

Add a few lemmas that were available for FDeriv but not for Deriv, weaken assumptions here and there.

5959edf8

Diff

@@ -342,11 +342,18 @@ theorem HasFDerivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (h
 
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
 on a neighborhood of `x₀` then its derivative at `x₀` has norm bounded by `C`. -/
-theorem HasFDerivAt.le_of_lip {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (hf : HasFDerivAt f f' x₀)
+theorem HasFDerivAt.le_of_lipschitzOn
+    {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (hf : HasFDerivAt f f' x₀)
     {s : Set E} (hs : s ∈ 𝓝 x₀) {C : ℝ≥0} (hlip : LipschitzOnWith C f s) : ‖f'‖ ≤ C := by
   refine' hf.le_of_lip' C.coe_nonneg _
-  filter_upwards [hs]with x hx using hlip.norm_sub_le hx (mem_of_mem_nhds hs)
-#align has_fderiv_at.le_of_lip HasFDerivAt.le_of_lip
+  filter_upwards [hs] with x hx using hlip.norm_sub_le hx (mem_of_mem_nhds hs)
+#align has_fderiv_at.le_of_lip HasFDerivAt.le_of_lipschitzOn
+
+/-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
+then its derivative at `x₀` has norm bounded by `C`. -/
+theorem HasFDerivAt.le_of_lipschitz {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (hf : HasFDerivAt f f' x₀)
+    {C : ℝ≥0} (hlip : LipschitzWith C f) : ‖f'‖ ≤ C :=
+  hf.le_of_lipschitzOn univ_mem (lipschitzOn_univ.2 hlip)
 
 nonrec theorem HasFDerivAtFilter.mono (h : HasFDerivAtFilter f f' x L₂) (hst : L₁ ≤ L₂) :
     HasFDerivAtFilter f f' x L₁ :=
@@ -540,14 +547,37 @@ theorem fderiv_eq {f' : E → E →L[𝕜] F} (h : ∀ x, HasFDerivAt f (f' x) x
   funext fun x => (h x).fderiv
 #align fderiv_eq fderiv_eq
 
-/-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
+variable (𝕜)
+
+/-- Converse to the mean value inequality: if `f` is `C`-lipschitz
+on a neighborhood of `x₀` then its derivative at `x₀` has norm bounded by `C`. This version
+only assumes that `‖f x - f x₀‖ ≤ C * ‖x - x₀‖` in a neighborhood of `x`. -/
+theorem norm_fderiv_le_of_lip' {f : E → F} {x₀ : E}
+    {C : ℝ} (hC₀ : 0 ≤ C) (hlip : ∀ᶠ x in 𝓝 x₀, ‖f x - f x₀‖ ≤ C * ‖x - x₀‖) :
+    ‖fderiv 𝕜 f x₀‖ ≤ C := by
+  by_cases hf : DifferentiableAt 𝕜 f x₀
+  · exact hf.hasFDerivAt.le_of_lip' hC₀ hlip
+  · rw [fderiv_zero_of_not_differentiableAt hf]
+    simp [hC₀]
+
+/-- Converse to the mean value inequality: if `f` is `C`-lipschitz
 on a neighborhood of `x₀` then its derivative at `x₀` has norm bounded by `C`.
 Version using `fderiv`. -/
 -- Porting note: renamed so that dot-notation makes sense
-theorem DifferentiableAt.le_of_lip {f : E → F} {x₀ : E} (hf : DifferentiableAt 𝕜 f x₀)
-    {s : Set E} (hs : s ∈ 𝓝 x₀) {C : ℝ≥0} (hlip : LipschitzOnWith C f s) : ‖fderiv 𝕜 f x₀‖ ≤ C :=
-  hf.hasFDerivAt.le_of_lip hs hlip
-#align fderiv_at.le_of_lip DifferentiableAt.le_of_lip
+theorem norm_fderiv_le_of_lipschitzOn {f : E → F} {x₀ : E} {s : Set E} (hs : s ∈ 𝓝 x₀)
+    {C : ℝ≥0} (hlip : LipschitzOnWith C f s) : ‖fderiv 𝕜 f x₀‖ ≤ C := by
+  refine' norm_fderiv_le_of_lip' 𝕜 C.coe_nonneg _
+  filter_upwards [hs] with x hx using hlip.norm_sub_le hx (mem_of_mem_nhds hs)
+#align fderiv_at.le_of_lip norm_fderiv_le_of_lipschitzOn
+
+/-- Converse to the mean value inequality: if `f` is `C`-lipschitz then
+its derivative at `x₀` has norm bounded by `C`.
+Version using `fderiv`. -/
+theorem norm_fderiv_le_of_lipschitz {f : E → F} {x₀ : E}
+    {C : ℝ≥0} (hlip : LipschitzWith C f) : ‖fderiv 𝕜 f x₀‖ ≤ C :=
+  norm_fderiv_le_of_lipschitzOn 𝕜 univ_mem (lipschitzOn_univ.2 hlip)
+
+variable {𝕜}
 
 protected theorem HasFDerivWithinAt.fderivWithin (h : HasFDerivWithinAt f f' s x)
     (hxs : UniqueDiffWithinAt 𝕜 s x) : fderivWithin 𝕜 f s x = f' :=

chore(Analysis): rename lipschitz_on_univ to lipschitzOn_univ (#6946)

Also rename dimH_image_le_of_locally_lipschitz_on to dimH_image_le_of_locally_lipschitzOn.

699bc905

Diff

@@ -87,7 +87,7 @@ characterized in terms of the `Tendsto` relation.
 We also introduce predicates `DifferentiableWithinAt 𝕜 f s x` (where `𝕜` is the base field,
 `f` the function to be differentiated, `x` the point at which the derivative is asserted to exist,
 and `s` the set along which the derivative is defined), as well as `DifferentiableAt 𝕜 f x`,
-`Differentiable_on 𝕜 f s` and `Differentiable 𝕜 f` to express the existence of a derivative.
+`DifferentiableOn 𝕜 f s` and `Differentiable 𝕜 f` to express the existence of a derivative.
 
 To be able to compute with derivatives, we write `fderivWithin 𝕜 f s x` and `fderiv 𝕜 f x`
 for some choice of a derivative if it exists, and the zero function otherwise. This choice only

chore: remove duplicate lemma HasFDerivWithinAt.nhdsWithin (#6773)

This is a perfect duplicate of HasFDerivWithinAt.mono_of_mem.

Same thing with Deriv instead of FDeriv.

e561ee7a

Diff

@@ -357,6 +357,7 @@ theorem HasFDerivWithinAt.mono_of_mem (h : HasFDerivWithinAt f f' t x) (hst : t
     HasFDerivWithinAt f f' s x :=
   h.mono <| nhdsWithin_le_iff.mpr hst
 #align has_fderiv_within_at.mono_of_mem HasFDerivWithinAt.mono_of_mem
+#align has_fderiv_within_at.nhds_within HasFDerivWithinAt.mono_of_mem
 
 nonrec theorem HasFDerivWithinAt.mono (h : HasFDerivWithinAt f f' t x) (hst : s ⊆ t) :
     HasFDerivWithinAt f f' s x :=
@@ -489,11 +490,6 @@ theorem HasFDerivWithinAt.union (hs : HasFDerivWithinAt f f' s x)
   exact hs.sup ht
 #align has_fderiv_within_at.union HasFDerivWithinAt.union
 
-protected theorem HasFDerivWithinAt.nhdsWithin (h : HasFDerivWithinAt f f' s x) (ht : s ∈ 𝓝[t] x) :
-    HasFDerivWithinAt f f' t x :=
-  (hasFDerivWithinAt_inter' ht).1 (h.mono (inter_subset_right _ _))
-#align has_fderiv_within_at.nhds_within HasFDerivWithinAt.nhdsWithin
-
 theorem HasFDerivWithinAt.hasFDerivAt (h : HasFDerivWithinAt f f' s x) (hs : s ∈ 𝓝 x) :
     HasFDerivAt f f' x := by
   rwa [← univ_inter s, hasFDerivWithinAt_inter hs, hasFDerivWithinAt_univ] at h

feat: patch for new alias command (#6172)

19e0ba92

Diff

@@ -387,7 +387,7 @@ theorem hasFDerivWithinAt_univ : HasFDerivWithinAt f f' univ x ↔ HasFDerivAt f
   rfl
 #align has_fderiv_within_at_univ hasFDerivWithinAt_univ
 
-alias hasFDerivWithinAt_univ ↔ HasFDerivWithinAt.hasFDerivAt_of_univ _
+alias ⟨HasFDerivWithinAt.hasFDerivAt_of_univ, _⟩ := hasFDerivWithinAt_univ
 #align has_fderiv_within_at.has_fderiv_at_of_univ HasFDerivWithinAt.hasFDerivAt_of_univ
 
 theorem hasFDerivWithinAt_insert {y : E} :
@@ -400,7 +400,7 @@ theorem hasFDerivWithinAt_insert {y : E} :
   simp_rw [nhdsWithin_insert_of_ne h, self_mem_nhdsWithin]
 #align has_fderiv_within_at_insert hasFDerivWithinAt_insert
 
-alias hasFDerivWithinAt_insert ↔ HasFDerivWithinAt.of_insert HasFDerivWithinAt.insert'
+alias ⟨HasFDerivWithinAt.of_insert, HasFDerivWithinAt.insert'⟩ := hasFDerivWithinAt_insert
 #align has_fderiv_within_at.of_insert HasFDerivWithinAt.of_insert
 #align has_fderiv_within_at.insert' HasFDerivWithinAt.insert'

fix: disable autoImplicit globally (#6528)

Autoimplicits are highly controversial and also defeat the performance-improving work in #6474.

The intent of this PR is to make autoImplicit opt-in on a per-file basis, by disabling it in the lakefile and enabling it again with set_option autoImplicit true in the few files that rely on it.

That also keeps this PR small, as opposed to attempting to "fix" files to not need it any more.

I claim that many of the uses of autoImplicit in these files are accidental; situations such as:

Assuming variables are in scope, but pasting the lemma in the wrong section
Pasting in a lemma from a scratch file without checking to see if the variable names are consistent with the rest of the file
Making a copy-paste error between lemmas and forgetting to add an explicit arguments.

Having set_option autoImplicit false as the default prevents these types of mistake being made in the 90% of files where autoImplicits are not used at all, and causes them to be caught by CI during review.

I think there were various points during the port where we encouraged porters to delete the universes u v lines; I think having autoparams for universe variables only would cover a lot of the cases we actually use them, while avoiding any real shortcomings.

A Zulip poll (after combining overlapping votes accordingly) was in favor of this change with 5:5:18 as the no:dontcare:yes vote ratio.

While this PR was being reviewed, a handful of files gained some more likely-accidental autoImplicits. In these places, set_option autoImplicit true has been placed locally within a section, rather than at the top of the file.

0c24f831

Diff

@@ -116,6 +116,8 @@ derivative, differentiable, Fréchet, calculus
 
 -/
 
+set_option autoImplicit true
+
 open Filter Asymptotics ContinuousLinearMap Set Metric
 
 open Topology Classical NNReal Filter Asymptotics ENNReal

chore: banish Type _ and Sort _ (#6499)

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

32de3f67

Diff

@@ -124,15 +124,15 @@ noncomputable section
 
 section
 
-variable {𝕜 : Type _} [NontriviallyNormedField 𝕜]
+variable {𝕜 : Type*} [NontriviallyNormedField 𝕜]
 
-variable {E : Type _} [NormedAddCommGroup E] [NormedSpace 𝕜 E]
+variable {E : Type*} [NormedAddCommGroup E] [NormedSpace 𝕜 E]
 
-variable {F : Type _} [NormedAddCommGroup F] [NormedSpace 𝕜 F]
+variable {F : Type*} [NormedAddCommGroup F] [NormedSpace 𝕜 F]
 
-variable {G : Type _} [NormedAddCommGroup G] [NormedSpace 𝕜 G]
+variable {G : Type*} [NormedAddCommGroup G] [NormedSpace 𝕜 G]
 
-variable {G' : Type _} [NormedAddCommGroup G'] [NormedSpace 𝕜 G']
+variable {G' : Type*} [NormedAddCommGroup G'] [NormedSpace 𝕜 G']
 
 /-- A function `f` has the continuous linear map `f'` as derivative along the filter `L` if
 `f x' = f x + f' (x' - x) + o (x' - x)` when `x'` converges along the filter `L`. This definition
@@ -234,7 +234,7 @@ i.e., `n (f (x + (1/n) v) - f x)` converges to `f' v`. More generally, if `c n`
 and `c n * d n` tends to `v`, then `c n * (f (x + d n) - f x)` tends to `f' v`. This lemma expresses
 this fact, for functions having a derivative within a set. Its specific formulation is useful for
 tangent cone related discussions. -/
-theorem HasFDerivWithinAt.lim (h : HasFDerivWithinAt f f' s x) {α : Type _} (l : Filter α)
+theorem HasFDerivWithinAt.lim (h : HasFDerivWithinAt f f' s x) {α : Type*} (l : Filter α)
     {c : α → 𝕜} {d : α → E} {v : E} (dtop : ∀ᶠ n in l, x + d n ∈ s)
     (clim : Tendsto (fun n => ‖c n‖) l atTop) (cdlim : Tendsto (fun n => c n • d n) l (𝓝 v)) :
     Tendsto (fun n => c n • (f (x + d n) - f x)) l (𝓝 (f' v)) := by
@@ -455,7 +455,7 @@ theorem HasStrictFDerivAt.exists_lipschitzOnWith (hf : HasStrictFDerivAt f f' x)
 #align has_strict_fderiv_at.exists_lipschitz_on_with HasStrictFDerivAt.exists_lipschitzOnWith
 
 /-- Directional derivative agrees with `HasFDeriv`. -/
-theorem HasFDerivAt.lim (hf : HasFDerivAt f f' x) (v : E) {α : Type _} {c : α → 𝕜} {l : Filter α}
+theorem HasFDerivAt.lim (hf : HasFDerivAt f f' x) (v : E) {α : Type*} {c : α → 𝕜} {l : Filter α}
     (hc : Tendsto (fun n => ‖c n‖) l atTop) :
     Tendsto (fun n => c n • (f (x + (c n)⁻¹ • v) - f x)) l (𝓝 (f' v)) := by
   refine' (hasFDerivWithinAt_univ.2 hf).lim _ univ_mem hc _
@@ -1155,7 +1155,7 @@ section Support
 
 open Function
 
-variable (𝕜 : Type _) {E F : Type _} [NontriviallyNormedField 𝕜] [NormedAddCommGroup E]
+variable (𝕜 : Type*) {E F : Type*} [NontriviallyNormedField 𝕜] [NormedAddCommGroup E]
   [NormedSpace 𝕜 E] [NormedAddCommGroup F] [NormedSpace 𝕜 F] {f : E → F} {x : E}
 
 theorem HasStrictFDerivAt.of_not_mem_tsupport (h : x ∉ tsupport f) :

feat: add more lemmas about derivatives and tsupport (#6228)

69e7283b

Diff

@@ -1151,17 +1151,32 @@ end
 
 /-! ### Support of derivatives -/
 
-
 section Support
 
 open Function
 
 variable (𝕜 : Type _) {E F : Type _} [NontriviallyNormedField 𝕜] [NormedAddCommGroup E]
-  [NormedSpace 𝕜 E] [NormedAddCommGroup F] [NormedSpace 𝕜 F] {f : E → F}
+  [NormedSpace 𝕜 E] [NormedAddCommGroup F] [NormedSpace 𝕜 F] {f : E → F} {x : E}
+
+theorem HasStrictFDerivAt.of_not_mem_tsupport (h : x ∉ tsupport f) :
+    HasStrictFDerivAt f (0 : E →L[𝕜] F) x := by
+  rw [not_mem_tsupport_iff_eventuallyEq] at h
+  exact (hasStrictFDerivAt_const (0 : F) x).congr_of_eventuallyEq h.symm
+
+theorem HasFDerivAt.of_not_mem_tsupport (h : x ∉ tsupport f) :
+    HasFDerivAt f (0 : E →L[𝕜] F) x :=
+  (HasStrictFDerivAt.of_not_mem_tsupport 𝕜 h).hasFDerivAt
+
+theorem HasFDerivWithinAt.of_not_mem_tsupport (h : x ∉ tsupport f) :
+    HasFDerivWithinAt f (0 : E →L[𝕜] F) s x :=
+  (HasFDerivAt.of_not_mem_tsupport 𝕜 h).hasFDerivWithinAt
+
+theorem fderiv_of_not_mem_tsupport (h : x ∉ tsupport f) : fderiv 𝕜 f x = 0 :=
+  (HasFDerivAt.of_not_mem_tsupport 𝕜 h).fderiv
 
 theorem support_fderiv_subset : support (fderiv 𝕜 f) ⊆ tsupport f := fun x ↦ by
-  rw [← not_imp_not, not_mem_tsupport_iff_eventuallyEq, nmem_support]
-  exact fun hx => hx.fderiv_eq.trans <| fderiv_const_apply 0
+  rw [← not_imp_not, nmem_support]
+  exact fderiv_of_not_mem_tsupport _
 #align support_fderiv_subset support_fderiv_subset
 
 theorem tsupport_fderiv_subset : tsupport (fderiv 𝕜 f) ⊆ tsupport f :=

feat: derivative of the inversion (#5937)

Prove that inversion is smooth away from the center and its derivative is a scaled reflection.

Co-authored-by: Oliver Nash <github@olivernash.org>

2ae56d8d

Diff

@@ -824,6 +824,17 @@ theorem Filter.EventuallyEq.hasStrictFDerivAt_iff (h : f₀ =ᶠ[𝓝 x] f₁) (
   simp only [*]
 #align filter.eventually_eq.has_strict_fderiv_at_iff Filter.EventuallyEq.hasStrictFDerivAt_iff
 
+theorem HasStrictFDerivAt.congr_fderiv (h : HasStrictFDerivAt f f' x) (h' : f' = g') :
+    HasStrictFDerivAt f g' x :=
+  h' ▸ h
+
+theorem HasFDerivAt.congr_fderiv (h : HasFDerivAt f f' x) (h' : f' = g') : HasFDerivAt f g' x :=
+  h' ▸ h
+
+theorem HasFDerivWithinAt.congr_fderiv (h : HasFDerivWithinAt f f' s x) (h' : f' = g') :
+    HasFDerivWithinAt f g' s x :=
+  h' ▸ h
+
 theorem HasStrictFDerivAt.congr_of_eventuallyEq (h : HasStrictFDerivAt f f' x)
     (h₁ : f =ᶠ[𝓝 x] f₁) : HasStrictFDerivAt f₁ f' x :=
   (h₁.hasStrictFDerivAt_iff fun _ => rfl).1 h

chore(*): add protected to *.insert theorems (#6142)

Otherwise code like

theorem ContMDiffWithinAt.mythm (h : x ∈ insert y s) : _ = _

interprets insert as ContMDiffWithinAt.insert, not Insert.insert.

9f14c412

Diff

@@ -402,7 +402,7 @@ alias hasFDerivWithinAt_insert ↔ HasFDerivWithinAt.of_insert HasFDerivWithinAt
 #align has_fderiv_within_at.of_insert HasFDerivWithinAt.of_insert
 #align has_fderiv_within_at.insert' HasFDerivWithinAt.insert'
 
-theorem HasFDerivWithinAt.insert (h : HasFDerivWithinAt g g' s x) :
+protected theorem HasFDerivWithinAt.insert (h : HasFDerivWithinAt g g' s x) :
     HasFDerivWithinAt g g' (insert x s) x :=
   h.insert'
 #align has_fderiv_within_at.insert HasFDerivWithinAt.insert

chore: fix grammar mistakes (#6121)

a16538af

Diff

@@ -322,7 +322,7 @@ theorem hasFDerivAt_iff_isLittleO_nhds_zero :
 #align has_fderiv_at_iff_is_o_nhds_zero hasFDerivAt_iff_isLittleO_nhds_zero
 
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
-on a neighborhood of `x₀` then it its derivative at `x₀` has norm bounded by `C`. This version
+on a neighborhood of `x₀` then its derivative at `x₀` has norm bounded by `C`. This version
 only assumes that `‖f x - f x₀‖ ≤ C * ‖x - x₀‖` in a neighborhood of `x`. -/
 theorem HasFDerivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (hf : HasFDerivAt f f' x₀)
     {C : ℝ} (hC₀ : 0 ≤ C) (hlip : ∀ᶠ x in 𝓝 x₀, ‖f x - f x₀‖ ≤ C * ‖x - x₀‖) : ‖f'‖ ≤ C := by
@@ -339,7 +339,7 @@ theorem HasFDerivAt.le_of_lip' {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (h
 #align has_fderiv_at.le_of_lip' HasFDerivAt.le_of_lip'
 
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
-on a neighborhood of `x₀` then it its derivative at `x₀` has norm bounded by `C`. -/
+on a neighborhood of `x₀` then its derivative at `x₀` has norm bounded by `C`. -/
 theorem HasFDerivAt.le_of_lip {f : E → F} {f' : E →L[𝕜] F} {x₀ : E} (hf : HasFDerivAt f f' x₀)
     {s : Set E} (hs : s ∈ 𝓝 x₀) {C : ℝ≥0} (hlip : LipschitzOnWith C f s) : ‖f'‖ ≤ C := by
   refine' hf.le_of_lip' C.coe_nonneg _
@@ -543,7 +543,7 @@ theorem fderiv_eq {f' : E → E →L[𝕜] F} (h : ∀ x, HasFDerivAt f (f' x) x
 #align fderiv_eq fderiv_eq
 
 /-- Converse to the mean value inequality: if `f` is differentiable at `x₀` and `C`-lipschitz
-on a neighborhood of `x₀` then it its derivative at `x₀` has norm bounded by `C`.
+on a neighborhood of `x₀` then its derivative at `x₀` has norm bounded by `C`.
 Version using `fderiv`. -/
 -- Porting note: renamed so that dot-notation makes sense
 theorem DifferentiableAt.le_of_lip {f : E → F} {x₀ : E} (hf : DifferentiableAt 𝕜 f x₀)

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

89aa3a3b

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2019 Jeremy Avigad. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
-
-! This file was ported from Lean 3 source module analysis.calculus.fderiv.basic
-! leanprover-community/mathlib commit 41bef4ae1254365bc190aee63b947674d2977f01
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.Asymptotics.AsymptoticEquivalent
 import Mathlib.Analysis.Calculus.TangentCone
 import Mathlib.Analysis.NormedSpace.OperatorNorm
 
+#align_import analysis.calculus.fderiv.basic from "leanprover-community/mathlib"@"41bef4ae1254365bc190aee63b947674d2977f01"
+
 /-!
 # The Fréchet derivative

chore: forward-port leanprover-community/mathlib#19103 (#5855)

10c93ae2

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
 
 ! This file was ported from Lean 3 source module analysis.calculus.fderiv.basic
-! leanprover-community/mathlib commit 3a69562db5a458db8322b190ec8d9a8bbd8a5b14
+! leanprover-community/mathlib commit 41bef4ae1254365bc190aee63b947674d2977f01
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -763,8 +763,7 @@ set_option linter.uppercaseLean3 false in
 theorem HasFDerivAtFilter.isBigO_sub_rev (hf : HasFDerivAtFilter f f' x L) {C}
     (hf' : AntilipschitzWith C f') : (fun x' => x' - x) =O[L] fun x' => f x' - f x :=
   have : (fun x' => x' - x) =O[L] fun x' => f' (x' - x) :=
-    isBigO_iff.2
-      ⟨C, eventually_of_forall fun _ => AddMonoidHomClass.bound_of_antilipschitz f' hf' _⟩
+    isBigO_iff.2 ⟨C, eventually_of_forall fun _ => ZeroHomClass.bound_of_antilipschitz f' hf' _⟩
   (this.trans (hf.trans_isBigO this).right_isBigO_add).congr (fun _ => rfl) fun _ =>
     sub_add_cancel _ _
 set_option linter.uppercaseLean3 false in

feat: port Geometry.Manifold.VectorBundle.Tangent (#5448)

Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>

f272aa0a

Diff

@@ -1029,6 +1029,7 @@ theorem differentiableOn_id : DifferentiableOn 𝕜 id s :=
   differentiable_id.differentiableOn
 #align differentiable_on_id differentiableOn_id
 
+@[simp]
 theorem fderiv_id : fderiv 𝕜 id x = id 𝕜 E :=
   HasFDerivAt.fderiv (hasFDerivAt_id x)
 #align fderiv_id fderiv_id

chore: convert lambda in docs to fun (#5045)

Found with git grep -n "λ [a-zA-Z_ ]*,"

1164cf04

Diff

@@ -68,11 +68,11 @@ The simplifier is set up to prove automatically that some functions are differen
 differentiable at a point (but not differentiable on a set or within a set at a point, as checking
 automatically that the good domains are mapped one to the other when using composition is not
 something the simplifier can easily do). This means that one can write
-`example (x : ℝ) : Differentiable ℝ (λ x, sin (exp (3 + x^2)) - 5 * cos x) := by simp`.
+`example (x : ℝ) : Differentiable ℝ (fun x ↦ sin (exp (3 + x^2)) - 5 * cos x) := by simp`.
 If there are divisions, one needs to supply to the simplifier proofs that the denominators do
 not vanish, as in
 ```lean
-example (x : ℝ) (h : 1 + sin x ≠ 0) : DifferentiableAt ℝ (λ x, exp x / (1 + sin x)) x :=
+example (x : ℝ) (h : 1 + sin x ≠ 0) : DifferentiableAt ℝ (fun x ↦ exp x / (1 + sin x)) x :=
 by simp [h]
 ```
 Of course, these examples only work once `exp`, `cos` and `sin` have been shown to be
@@ -107,7 +107,7 @@ functions is differentiable, as well as their product, their cartesian product,
 exception is the chain rule: we do not mark as a simp lemma the fact that, if `f` and `g` are
 differentiable, then their composition also is: `simp` would always be able to match this lemma,
 by taking `f` or `g` to be the identity. Instead, for every reasonable function (say, `exp`),
-we add a lemma that if `f` is differentiable then so is `(λ x, exp (f x))`. This means adding
+we add a lemma that if `f` is differentiable then so is `(fun x ↦ exp (f x))`. This means adding
 some boilerplate lemmas, but these can also be useful in their own right.
 
 Tests for this ability of the simplifier (with more examples) are provided in

chore: fix upper/lowercase in comments (#4360)

Run a non-interactive version of fix-comments.py on all files.
Go through the diff and manually add/discard/edit chunks.

27d257fc

Diff

@@ -72,7 +72,7 @@ something the simplifier can easily do). This means that one can write
 If there are divisions, one needs to supply to the simplifier proofs that the denominators do
 not vanish, as in
 ```lean
-example (x : ℝ) (h : 1 + sin x ≠ 0) : differentiable_at ℝ (λ x, exp x / (1 + sin x)) x :=
+example (x : ℝ) (h : 1 + sin x ≠ 0) : DifferentiableAt ℝ (λ x, exp x / (1 + sin x)) x :=
 by simp [h]
 ```
 Of course, these examples only work once `exp`, `cos` and `sin` have been shown to be

feat: weaken assumptions in lemmas about fderivWithin (#4330)

This is a partial forward-port of leanprover-community/mathlib#19045.

I only forward-ported 1 file that was already merged into master. I'll do some git history rewrites in pending PRs instead.

45384496

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
 
 ! This file was ported from Lean 3 source module analysis.calculus.fderiv.basic
-! leanprover-community/mathlib commit e3fb84046afd187b710170887195d50bada934ee
+! leanprover-community/mathlib commit 3a69562db5a458db8322b190ec8d9a8bbd8a5b14
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -391,13 +391,13 @@ theorem hasFDerivWithinAt_univ : HasFDerivWithinAt f f' univ x ↔ HasFDerivAt f
 alias hasFDerivWithinAt_univ ↔ HasFDerivWithinAt.hasFDerivAt_of_univ _
 #align has_fderiv_within_at.has_fderiv_at_of_univ HasFDerivWithinAt.hasFDerivAt_of_univ
 
-theorem hasFDerivWithinAt_insert {y : E} {g' : E →L[𝕜] F} :
-    HasFDerivWithinAt g g' (insert y s) x ↔ HasFDerivWithinAt g g' s x := by
+theorem hasFDerivWithinAt_insert {y : E} :
+    HasFDerivWithinAt f f' (insert y s) x ↔ HasFDerivWithinAt f f' s x := by
   rcases eq_or_ne x y with (rfl | h)
   · simp_rw [HasFDerivWithinAt, HasFDerivAtFilter]
     apply Asymptotics.isLittleO_insert
-    simp only [sub_self, g'.map_zero]
-  refine' ⟨fun h => h.mono <| subset_insert y s, fun hg => hg.mono_of_mem _⟩
+    simp only [sub_self, map_zero]
+  refine' ⟨fun h => h.mono <| subset_insert y s, fun hf => hf.mono_of_mem _⟩
   simp_rw [nhdsWithin_insert_of_ne h, self_mem_nhdsWithin]
 #align has_fderiv_within_at_insert hasFDerivWithinAt_insert
 
@@ -405,11 +405,16 @@ alias hasFDerivWithinAt_insert ↔ HasFDerivWithinAt.of_insert HasFDerivWithinAt
 #align has_fderiv_within_at.of_insert HasFDerivWithinAt.of_insert
 #align has_fderiv_within_at.insert' HasFDerivWithinAt.insert'
 
-theorem HasFDerivWithinAt.insert {g' : E →L[𝕜] F} (h : HasFDerivWithinAt g g' s x) :
+theorem HasFDerivWithinAt.insert (h : HasFDerivWithinAt g g' s x) :
     HasFDerivWithinAt g g' (insert x s) x :=
   h.insert'
 #align has_fderiv_within_at.insert HasFDerivWithinAt.insert
 
+theorem hasFDerivWithinAt_diff_singleton (y : E) :
+    HasFDerivWithinAt f f' (s \ {y}) x ↔ HasFDerivWithinAt f f' s x := by
+  rw [← hasFDerivWithinAt_insert, insert_diff_singleton, hasFDerivWithinAt_insert]
+#align has_fderiv_within_at_diff_singleton hasFDerivWithinAt_diff_singleton
+
 theorem HasStrictFDerivAt.isBigO_sub (hf : HasStrictFDerivAt f f' x) :
     (fun p : E × E => f p.1 - f p.2) =O[𝓝 (x, x)] fun p : E × E => p.1 - p.2 :=
   hf.isBigO.congr_of_sub.2 (f'.isBigO_comp _ _)
@@ -568,7 +573,7 @@ theorem DifferentiableWithinAt.mono (h : DifferentiableWithinAt 𝕜 f t x) (st
 #align differentiable_within_at.mono DifferentiableWithinAt.mono
 
 theorem DifferentiableWithinAt.mono_of_mem (h : DifferentiableWithinAt 𝕜 f s x) {t : Set E}
-    (hst : s ∈ nhdsWithin x t) : DifferentiableWithinAt 𝕜 f t x :=
+    (hst : s ∈ 𝓝[t] x) : DifferentiableWithinAt 𝕜 f t x :=
   (h.hasFDerivWithinAt.mono_of_mem hst).differentiableWithinAt
 #align differentiable_within_at.mono_of_mem DifferentiableWithinAt.mono_of_mem
 
@@ -578,28 +583,14 @@ theorem differentiableWithinAt_univ : DifferentiableWithinAt 𝕜 f univ x ↔ D
 
 theorem differentiableWithinAt_inter (ht : t ∈ 𝓝 x) :
     DifferentiableWithinAt 𝕜 f (s ∩ t) x ↔ DifferentiableWithinAt 𝕜 f s x := by
-  simp only [DifferentiableWithinAt, HasFDerivWithinAt, HasFDerivAtFilter,
-    nhdsWithin_restrict' s ht]
+  simp only [DifferentiableWithinAt, hasFDerivWithinAt_inter ht]
 #align differentiable_within_at_inter differentiableWithinAt_inter
 
 theorem differentiableWithinAt_inter' (ht : t ∈ 𝓝[s] x) :
     DifferentiableWithinAt 𝕜 f (s ∩ t) x ↔ DifferentiableWithinAt 𝕜 f s x := by
-  simp only [DifferentiableWithinAt, HasFDerivWithinAt, HasFDerivAtFilter,
-    nhdsWithin_restrict'' s ht]
+  simp only [DifferentiableWithinAt, hasFDerivWithinAt_inter' ht]
 #align differentiable_within_at_inter' differentiableWithinAt_inter'
 
-theorem DifferentiableWithinAt.antimono (h : DifferentiableWithinAt 𝕜 f s x) (hst : s ⊆ t)
-    (hx : s ∈ 𝓝[t] x) : DifferentiableWithinAt 𝕜 f t x := by
-  rwa [← differentiableWithinAt_inter' hx, inter_eq_self_of_subset_right hst]
-#align differentiable_within_at.antimono DifferentiableWithinAt.antimono
-
-theorem HasFDerivWithinAt.antimono (h : HasFDerivWithinAt f f' s x) (hst : s ⊆ t)
-    (hs : UniqueDiffWithinAt 𝕜 s x) (hx : s ∈ 𝓝[t] x) : HasFDerivWithinAt f f' t x := by
-  have h' : HasFDerivWithinAt f _ t x :=
-    (h.differentiableWithinAt.antimono hst hx).hasFDerivWithinAt
-  rwa [hs.eq h (h'.mono hst)]
-#align has_fderiv_within_at.antimono HasFDerivWithinAt.antimono
-
 theorem DifferentiableAt.differentiableWithinAt (h : DifferentiableAt 𝕜 f x) :
     DifferentiableWithinAt 𝕜 f s x :=
   (differentiableWithinAt_univ.2 h).mono (subset_univ _)
@@ -635,45 +626,31 @@ theorem differentiableOn_of_locally_differentiableOn
   exact (differentiableWithinAt_inter (IsOpen.mem_nhds t_open xt)).1 (ht x ⟨xs, xt⟩)
 #align differentiable_on_of_locally_differentiable_on differentiableOn_of_locally_differentiableOn
 
+theorem fderivWithin_of_mem (st : t ∈ 𝓝[s] x) (ht : UniqueDiffWithinAt 𝕜 s x)
+    (h : DifferentiableWithinAt 𝕜 f t x) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
+  ((DifferentiableWithinAt.hasFDerivWithinAt h).mono_of_mem st).fderivWithin ht
+#align fderiv_within_of_mem fderivWithin_of_mem
+
 theorem fderivWithin_subset (st : s ⊆ t) (ht : UniqueDiffWithinAt 𝕜 s x)
     (h : DifferentiableWithinAt 𝕜 f t x) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
-  ((DifferentiableWithinAt.hasFDerivWithinAt h).mono st).fderivWithin ht
+  fderivWithin_of_mem (nhdsWithin_mono _ st self_mem_nhdsWithin) ht h
 #align fderiv_within_subset fderivWithin_subset
 
-theorem fderivWithin_subset' (st : s ⊆ t) (ht : UniqueDiffWithinAt 𝕜 s x) (hx : s ∈ 𝓝[t] x)
-    (h : DifferentiableWithinAt 𝕜 f s x) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
-  fderivWithin_subset st ht (h.antimono st hx)
-#align fderiv_within_subset' fderivWithin_subset'
-
-@[simp]
-theorem fderivWithin_univ : fderivWithin 𝕜 f univ = fderiv 𝕜 f := by
-  ext x : 1
-  by_cases h : DifferentiableAt 𝕜 f x
-  · apply HasFDerivWithinAt.fderivWithin _ uniqueDiffWithinAt_univ
-    rw [hasFDerivWithinAt_univ]
-    apply h.hasFDerivAt
-  · have : ¬DifferentiableWithinAt 𝕜 f univ x := by rwa [differentiableWithinAt_univ]
-    rw [fderiv_zero_of_not_differentiableAt h, fderivWithin_zero_of_not_differentiableWithinAt this]
-#align fderiv_within_univ fderivWithin_univ
-
-theorem fderivWithin_inter (ht : t ∈ 𝓝 x) (hs : UniqueDiffWithinAt 𝕜 s x) :
-    fderivWithin 𝕜 f (s ∩ t) x = fderivWithin 𝕜 f s x := by
-  by_cases h : DifferentiableWithinAt 𝕜 f (s ∩ t) x
-  · apply fderivWithin_subset (inter_subset_left _ _) _ ((differentiableWithinAt_inter ht).1 h)
-    apply hs.inter ht
-  · have : ¬DifferentiableWithinAt 𝕜 f s x := by rwa [← differentiableWithinAt_inter ht]
-    rw [fderivWithin_zero_of_not_differentiableWithinAt h,
-      fderivWithin_zero_of_not_differentiableWithinAt this]
+theorem fderivWithin_inter (ht : t ∈ 𝓝 x) : fderivWithin 𝕜 f (s ∩ t) x = fderivWithin 𝕜 f s x := by
+  simp only [fderivWithin, hasFDerivWithinAt_inter ht]
 #align fderiv_within_inter fderivWithin_inter
 
 theorem fderivWithin_of_mem_nhds (h : s ∈ 𝓝 x) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x := by
-  have : s = univ ∩ s := by simp only [univ_inter]
-  rw [this, ← fderivWithin_univ]
-  exact fderivWithin_inter h (uniqueDiffOn_univ _ (mem_univ _))
+  simp only [fderiv, fderivWithin, HasFDerivAt, HasFDerivWithinAt, nhdsWithin_eq_nhds.2 h]
 #align fderiv_within_of_mem_nhds fderivWithin_of_mem_nhds
 
+@[simp]
+theorem fderivWithin_univ : fderivWithin 𝕜 f univ = fderiv 𝕜 f :=
+  funext fun _ => fderivWithin_of_mem_nhds univ_mem
+#align fderiv_within_univ fderivWithin_univ
+
 theorem fderivWithin_of_open (hs : IsOpen s) (hx : x ∈ s) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
-  fderivWithin_of_mem_nhds (IsOpen.mem_nhds hs hx)
+  fderivWithin_of_mem_nhds (hs.mem_nhds hx)
 #align fderiv_within_of_open fderivWithin_of_open
 
 theorem fderivWithin_eq_fderiv (hs : UniqueDiffWithinAt 𝕜 s x) (h : DifferentiableAt 𝕜 f x) :
@@ -798,7 +775,51 @@ end Continuous
 section congr
 
 /-! ### congr properties of the derivative -/
-
+theorem hasFDerivWithinAt_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
+    HasFDerivWithinAt f f' s x ↔ HasFDerivWithinAt f f' t x :=
+  calc
+    HasFDerivWithinAt f f' s x ↔ HasFDerivWithinAt f f' (s \ {y}) x :=
+      (hasFDerivWithinAt_diff_singleton _).symm
+    _ ↔ HasFDerivWithinAt f f' (t \ {y}) x := by
+      suffices 𝓝[s \ {y}] x = 𝓝[t \ {y}] x by simp only [HasFDerivWithinAt, this]
+      simpa only [set_eventuallyEq_iff_inf_principal, ← nhdsWithin_inter', diff_eq,
+        inter_comm] using h
+    _ ↔ HasFDerivWithinAt f f' t x := hasFDerivWithinAt_diff_singleton _
+#align has_fderiv_within_at_congr_set' hasFDerivWithinAt_congr_set'
+
+theorem hasFDerivWithinAt_congr_set (h : s =ᶠ[𝓝 x] t) :
+    HasFDerivWithinAt f f' s x ↔ HasFDerivWithinAt f f' t x :=
+  hasFDerivWithinAt_congr_set' x <| h.filter_mono inf_le_left
+#align has_fderiv_within_at_congr_set hasFDerivWithinAt_congr_set
+
+theorem differentiableWithinAt_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
+    DifferentiableWithinAt 𝕜 f s x ↔ DifferentiableWithinAt 𝕜 f t x :=
+  exists_congr fun _ => hasFDerivWithinAt_congr_set' _ h
+#align differentiable_within_at_congr_set' differentiableWithinAt_congr_set'
+
+theorem differentiableWithinAt_congr_set (h : s =ᶠ[𝓝 x] t) :
+    DifferentiableWithinAt 𝕜 f s x ↔ DifferentiableWithinAt 𝕜 f t x :=
+  exists_congr fun _ => hasFDerivWithinAt_congr_set h
+#align differentiable_within_at_congr_set differentiableWithinAt_congr_set
+
+theorem fderivWithin_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
+    fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x := by
+  simp only [fderivWithin, hasFDerivWithinAt_congr_set' y h]
+#align fderiv_within_congr_set' fderivWithin_congr_set'
+
+theorem fderivWithin_congr_set (h : s =ᶠ[𝓝 x] t) : fderivWithin 𝕜 f s x = fderivWithin 𝕜 f t x :=
+  fderivWithin_congr_set' x <| h.filter_mono inf_le_left
+#align fderiv_within_congr_set fderivWithin_congr_set
+
+theorem fderivWithin_eventually_congr_set' (y : E) (h : s =ᶠ[𝓝[{y}ᶜ] x] t) :
+    fderivWithin 𝕜 f s =ᶠ[𝓝 x] fderivWithin 𝕜 f t :=
+  (eventually_nhds_nhdsWithin.2 h).mono fun _ => fderivWithin_congr_set' y
+#align fderiv_within_eventually_congr_set' fderivWithin_eventually_congr_set'
+
+theorem fderivWithin_eventually_congr_set (h : s =ᶠ[𝓝 x] t) :
+    fderivWithin 𝕜 f s =ᶠ[𝓝 x] fderivWithin 𝕜 f t :=
+  fderivWithin_eventually_congr_set' x <| h.filter_mono inf_le_left
+#align fderiv_within_eventually_congr_set fderivWithin_eventually_congr_set
 
 theorem Filter.EventuallyEq.hasStrictFDerivAt_iff (h : f₀ =ᶠ[𝓝 x] f₁) (h' : ∀ y, f₀' y = f₁' y) :
     HasStrictFDerivAt f₀ f₀' x ↔ HasStrictFDerivAt f₁ f₁' x := by
@@ -853,19 +874,19 @@ theorem Filter.EventuallyEq.differentiableWithinAt_iff_of_mem (h : f₀ =ᶠ[
   h.differentiableWithinAt_iff (h.eq_of_nhdsWithin hx)
 #align filter.eventually_eq.differentiable_within_at_iff_of_mem Filter.EventuallyEq.differentiableWithinAt_iff_of_mem
 
-theorem HasFDerivWithinAt.congr_mono (h : HasFDerivWithinAt f f' s x) (ht : ∀ x ∈ t, f₁ x = f x)
+theorem HasFDerivWithinAt.congr_mono (h : HasFDerivWithinAt f f' s x) (ht : EqOn f₁ f t)
     (hx : f₁ x = f x) (h₁ : t ⊆ s) : HasFDerivWithinAt f₁ f' t x :=
   HasFDerivAtFilter.congr_of_eventuallyEq (h.mono h₁) (Filter.mem_inf_of_right ht) hx
 #align has_fderiv_within_at.congr_mono HasFDerivWithinAt.congr_mono
 
-theorem HasFDerivWithinAt.congr (h : HasFDerivWithinAt f f' s x) (hs : ∀ x ∈ s, f₁ x = f x)
+theorem HasFDerivWithinAt.congr (h : HasFDerivWithinAt f f' s x) (hs : EqOn f₁ f s)
     (hx : f₁ x = f x) : HasFDerivWithinAt f₁ f' s x :=
   h.congr_mono hs hx (Subset.refl _)
 #align has_fderiv_within_at.congr HasFDerivWithinAt.congr
 
-theorem HasFDerivWithinAt.congr' (h : HasFDerivWithinAt f f' s x) (hs : ∀ x ∈ s, f₁ x = f x)
-    (hx : x ∈ s) : HasFDerivWithinAt f₁ f' s x :=
-  h.congr hs (hs x hx)
+theorem HasFDerivWithinAt.congr' (h : HasFDerivWithinAt f f' s x) (hs : EqOn f₁ f s) (hx : x ∈ s) :
+    HasFDerivWithinAt f₁ f' s x :=
+  h.congr hs (hs hx)
 #align has_fderiv_within_at.congr' HasFDerivWithinAt.congr'
 
 theorem HasFDerivWithinAt.congr_of_eventuallyEq (h : HasFDerivWithinAt f f' s x)
@@ -878,8 +899,8 @@ theorem HasFDerivAt.congr_of_eventuallyEq (h : HasFDerivAt f f' x) (h₁ : f₁
   HasFDerivAtFilter.congr_of_eventuallyEq h h₁ (mem_of_mem_nhds h₁ : _)
 #align has_fderiv_at.congr_of_eventually_eq HasFDerivAt.congr_of_eventuallyEq
 
-theorem DifferentiableWithinAt.congr_mono (h : DifferentiableWithinAt 𝕜 f s x)
-    (ht : ∀ x ∈ t, f₁ x = f x) (hx : f₁ x = f x) (h₁ : t ⊆ s) : DifferentiableWithinAt 𝕜 f₁ t x :=
+theorem DifferentiableWithinAt.congr_mono (h : DifferentiableWithinAt 𝕜 f s x) (ht : EqOn f₁ f t)
+    (hx : f₁ x = f x) (h₁ : t ⊆ s) : DifferentiableWithinAt 𝕜 f₁ t x :=
   (HasFDerivWithinAt.congr_mono h.hasFDerivWithinAt ht hx h₁).differentiableWithinAt
 #align differentiable_within_at.congr_mono DifferentiableWithinAt.congr_mono
 
@@ -913,44 +934,46 @@ theorem DifferentiableAt.congr_of_eventuallyEq (h : DifferentiableAt 𝕜 f x) (
 #align differentiable_at.congr_of_eventually_eq DifferentiableAt.congr_of_eventuallyEq
 
 theorem DifferentiableWithinAt.fderivWithin_congr_mono (h : DifferentiableWithinAt 𝕜 f s x)
-    (hs : ∀ x ∈ t, f₁ x = f x) (hx : f₁ x = f x) (hxt : UniqueDiffWithinAt 𝕜 t x) (h₁ : t ⊆ s) :
+    (hs : EqOn f₁ f t) (hx : f₁ x = f x) (hxt : UniqueDiffWithinAt 𝕜 t x) (h₁ : t ⊆ s) :
     fderivWithin 𝕜 f₁ t x = fderivWithin 𝕜 f s x :=
   (HasFDerivWithinAt.congr_mono h.hasFDerivWithinAt hs hx h₁).fderivWithin hxt
 #align differentiable_within_at.fderiv_within_congr_mono DifferentiableWithinAt.fderivWithin_congr_mono
 
-theorem Filter.EventuallyEq.fderivWithin_eq (hs : UniqueDiffWithinAt 𝕜 s x) (hL : f₁ =ᶠ[𝓝[s] x] f)
-    (hx : f₁ x = f x) : fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
-  if h : DifferentiableWithinAt 𝕜 f s x then
-    HasFDerivWithinAt.fderivWithin (h.hasFDerivWithinAt.congr_of_eventuallyEq hL hx) hs
-  else by
-    have h' : ¬DifferentiableWithinAt 𝕜 f₁ s x :=
-      mt (fun h => h.congr_of_eventuallyEq (hL.mono fun x => Eq.symm) hx.symm) h
-    rw [fderivWithin_zero_of_not_differentiableWithinAt h,
-      fderivWithin_zero_of_not_differentiableWithinAt h']
+theorem Filter.EventuallyEq.fderivWithin_eq (hs : f₁ =ᶠ[𝓝[s] x] f) (hx : f₁ x = f x) :
+    fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x := by
+  simp only [fderivWithin, hs.hasFDerivWithinAt_iff hx]
 #align filter.eventually_eq.fderiv_within_eq Filter.EventuallyEq.fderivWithin_eq
 
-theorem Filter.EventuallyEq.fderivWithin_eq_nhds (hs : UniqueDiffWithinAt 𝕜 s x)
-    (hL : f₁ =ᶠ[𝓝 x] f) : fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
-  (show f₁ =ᶠ[𝓝[s] x] f from nhdsWithin_le_nhds hL).fderivWithin_eq hs (mem_of_mem_nhds hL : _)
+theorem Filter.EventuallyEq.fderiv_within' (hs : f₁ =ᶠ[𝓝[s] x] f) (ht : t ⊆ s) :
+    fderivWithin 𝕜 f₁ t =ᶠ[𝓝[s] x] fderivWithin 𝕜 f t :=
+  (eventually_nhdsWithin_nhdsWithin.2 hs).mp <|
+    eventually_mem_nhdsWithin.mono fun _y hys hs =>
+      EventuallyEq.fderivWithin_eq (hs.filter_mono <| nhdsWithin_mono _ ht)
+        (hs.self_of_nhdsWithin hys)
+#align filter.eventually_eq.fderiv_within' Filter.EventuallyEq.fderiv_within'
+
+protected theorem Filter.EventuallyEq.fderivWithin (hs : f₁ =ᶠ[𝓝[s] x] f) :
+    fderivWithin 𝕜 f₁ s =ᶠ[𝓝[s] x] fderivWithin 𝕜 f s :=
+  hs.fderiv_within' Subset.rfl
+#align filter.eventually_eq.fderiv_within Filter.EventuallyEq.fderivWithin
+
+theorem Filter.EventuallyEq.fderivWithin_eq_nhds (h : f₁ =ᶠ[𝓝 x] f) :
+    fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
+  (h.filter_mono nhdsWithin_le_nhds).fderivWithin_eq h.self_of_nhds
 #align filter.eventually_eq.fderiv_within_eq_nhds Filter.EventuallyEq.fderivWithin_eq_nhds
 
-theorem fderivWithin_congr (hs : UniqueDiffWithinAt 𝕜 s x) (hL : ∀ y ∈ s, f₁ y = f y)
-    (hx : f₁ x = f x) : fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x := by
-  apply Filter.EventuallyEq.fderivWithin_eq hs _ hx
-  apply mem_of_superset self_mem_nhdsWithin
-  exact hL
+theorem fderivWithin_congr (hs : EqOn f₁ f s) (hx : f₁ x = f x) :
+    fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
+  (hs.eventuallyEq.filter_mono inf_le_right).fderivWithin_eq hx
 #align fderiv_within_congr fderivWithin_congr
 
-theorem fderivWithin_congr' (hs : UniqueDiffWithinAt 𝕜 s x) (hL : ∀ y ∈ s, f₁ y = f y)
-    (hx : x ∈ s) : fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
-  fderivWithin_congr hs hL (hL x hx)
+theorem fderivWithin_congr' (hs : EqOn f₁ f s) (hx : x ∈ s) :
+    fderivWithin 𝕜 f₁ s x = fderivWithin 𝕜 f s x :=
+  fderivWithin_congr hs (hs hx)
 #align fderiv_within_congr' fderivWithin_congr'
 
-theorem Filter.EventuallyEq.fderiv_eq (hL : f₁ =ᶠ[𝓝 x] f) : fderiv 𝕜 f₁ x = fderiv 𝕜 f x := by
-  have A : f₁ x = f x := hL.eq_of_nhds
-  rw [← fderivWithin_univ, ← fderivWithin_univ]
-  rw [← nhdsWithin_univ] at hL
-  exact hL.fderivWithin_eq uniqueDiffWithinAt_univ A
+theorem Filter.EventuallyEq.fderiv_eq (h : f₁ =ᶠ[𝓝 x] f) : fderiv 𝕜 f₁ x = fderiv 𝕜 f x := by
+  rw [← fderivWithin_univ, ← fderivWithin_univ, h.fderivWithin_eq_nhds]
 #align filter.eventually_eq.fderiv_eq Filter.EventuallyEq.fderiv_eq
 
 protected theorem Filter.EventuallyEq.fderiv (h : f₁ =ᶠ[𝓝 x] f) : fderiv 𝕜 f₁ =ᶠ[𝓝 x] fderiv 𝕜 f :=
@@ -1128,14 +1151,15 @@ open Function
 variable (𝕜 : Type _) {E F : Type _} [NontriviallyNormedField 𝕜] [NormedAddCommGroup E]
   [NormedSpace 𝕜 E] [NormedAddCommGroup F] [NormedSpace 𝕜 F] {f : E → F}
 
-theorem support_fderiv_subset : support (fderiv 𝕜 f) ⊆ tsupport f := by
-  intro x
-  rw [← not_imp_not]
-  intro h2x
-  rw [not_mem_tsupport_iff_eventuallyEq] at h2x
-  exact nmem_support.mpr (h2x.fderiv_eq.trans <| fderiv_const_apply 0)
+theorem support_fderiv_subset : support (fderiv 𝕜 f) ⊆ tsupport f := fun x ↦ by
+  rw [← not_imp_not, not_mem_tsupport_iff_eventuallyEq, nmem_support]
+  exact fun hx => hx.fderiv_eq.trans <| fderiv_const_apply 0
 #align support_fderiv_subset support_fderiv_subset
 
+theorem tsupport_fderiv_subset : tsupport (fderiv 𝕜 f) ⊆ tsupport f :=
+  closure_minimal (support_fderiv_subset 𝕜) isClosed_closure
+#align tsupport_fderiv_subset tsupport_fderiv_subset
+
 protected theorem HasCompactSupport.fderiv (hf : HasCompactSupport f) :
     HasCompactSupport (fderiv 𝕜 f) :=
   hf.mono' <| support_fderiv_subset 𝕜

chore: golf proofs about IsBoundedBilinearMap (#4239)

Add IsBoundedBilinearMap.toContinuousLinearMap and use it to golf proofs by reusing facts about bundled bilinear maps E →L[𝕜] F →L[𝕜] G.

All changes

Add IsBoundedBilinearMap.toContinuousLinearMap.
Rename IsBoundedBilinearMap.is_O' to IsBoundedBilinearMap.isBigO'.
Rename isBoundedBilinearMap_deriv_coe to IsBoundedBilinearMap.deriv_apply.
Add LinearMap.mkContinuousOfExistsBound₂, a bilinear map version of LinearMap.mkContinuousOfExistsBound and use it to redefine LinearMap.mkContinuous₂. The new definition is definitionally equal to the old one.
Import Mathlib.Analysis.NormedSpace.OperatorNorm instead of Mathlib.Analysis.NormedSpace.BoundedLinearMaps in Mathlib.Analysis.Calculus.FDeriv.Basic.
Golf many proofs

745fa52a

Diff

@@ -10,7 +10,7 @@ Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
 -/
 import Mathlib.Analysis.Asymptotics.AsymptoticEquivalent
 import Mathlib.Analysis.Calculus.TangentCone
-import Mathlib.Analysis.NormedSpace.BoundedLinearMaps
+import Mathlib.Analysis.NormedSpace.OperatorNorm
 
 /-!
 # The Fréchet derivative

chore: fix a name, protect (#4212)

Rename ContinuousLinearMap.hasStrictFderivAt to ContinuousLinearMap.hasStrictFDerivAt.
Protect some theorems in Analysis/Calculus/FDeriv/Basic.

f32d52b6

Diff

@@ -485,7 +485,7 @@ theorem HasFDerivWithinAt.union (hs : HasFDerivWithinAt f f' s x)
   exact hs.sup ht
 #align has_fderiv_within_at.union HasFDerivWithinAt.union
 
-theorem HasFDerivWithinAt.nhdsWithin (h : HasFDerivWithinAt f f' s x) (ht : s ∈ 𝓝[t] x) :
+protected theorem HasFDerivWithinAt.nhdsWithin (h : HasFDerivWithinAt f f' s x) (ht : s ∈ 𝓝[t] x) :
     HasFDerivWithinAt f f' t x :=
   (hasFDerivWithinAt_inter' ht).1 (h.mono (inter_subset_right _ _))
 #align has_fderiv_within_at.nhds_within HasFDerivWithinAt.nhdsWithin
@@ -531,7 +531,7 @@ theorem DifferentiableOn.eventually_differentiableAt (h : DifferentiableOn 𝕜
   (eventually_eventually_nhds.2 hs).mono fun _ => h.differentiableAt
 #align differentiable_on.eventually_differentiable_at DifferentiableOn.eventually_differentiableAt
 
-theorem HasFDerivAt.fderiv (h : HasFDerivAt f f' x) : fderiv 𝕜 f x = f' := by
+protected theorem HasFDerivAt.fderiv (h : HasFDerivAt f f' x) : fderiv 𝕜 f x = f' := by
   ext
   rw [h.unique h.differentiableAt.hasFDerivAt]
 #align has_fderiv_at.fderiv HasFDerivAt.fderiv
@@ -549,7 +549,7 @@ theorem DifferentiableAt.le_of_lip {f : E → F} {x₀ : E} (hf : Differentiable
   hf.hasFDerivAt.le_of_lip hs hlip
 #align fderiv_at.le_of_lip DifferentiableAt.le_of_lip
 
-theorem HasFDerivWithinAt.fderivWithin (h : HasFDerivWithinAt f f' s x)
+protected theorem HasFDerivWithinAt.fderivWithin (h : HasFDerivWithinAt f f' s x)
     (hxs : UniqueDiffWithinAt 𝕜 s x) : fderivWithin 𝕜 f s x = f' :=
   (hxs.eq h h.differentiableWithinAt.hasFDerivWithinAt).symm
 #align has_fderiv_within_at.fderiv_within HasFDerivWithinAt.fderivWithin
@@ -609,7 +609,7 @@ theorem Differentiable.differentiableAt (h : Differentiable 𝕜 f) : Differenti
   h x
 #align differentiable.differentiable_at Differentiable.differentiableAt
 
-theorem DifferentiableAt.fderivWithin (h : DifferentiableAt 𝕜 f x)
+protected theorem DifferentiableAt.fderivWithin (h : DifferentiableAt 𝕜 f x)
     (hxs : UniqueDiffWithinAt 𝕜 s x) : fderivWithin 𝕜 f s x = fderiv 𝕜 f x :=
   h.hasFDerivAt.hasFDerivWithinAt.fderivWithin hxs
 #align differentiable_at.fderiv_within DifferentiableAt.fderivWithin
@@ -1136,7 +1136,8 @@ theorem support_fderiv_subset : support (fderiv 𝕜 f) ⊆ tsupport f := by
   exact nmem_support.mpr (h2x.fderiv_eq.trans <| fderiv_const_apply 0)
 #align support_fderiv_subset support_fderiv_subset
 
-theorem HasCompactSupport.fderiv (hf : HasCompactSupport f) : HasCompactSupport (fderiv 𝕜 f) :=
+protected theorem HasCompactSupport.fderiv (hf : HasCompactSupport f) :
+    HasCompactSupport (fderiv 𝕜 f) :=
   hf.mono' <| support_fderiv_subset 𝕜
 #align has_compact_support.fderiv HasCompactSupport.fderiv