ring_theory.hahn_series ⟷ Mathlib.RingTheory.HahnSeries.Summable

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

@@ -6,8 +6,8 @@ Authors: Aaron Anderson
 import Order.WellFoundedSet
 import Algebra.BigOperators.Finprod
 import RingTheory.Valuation.Basic
-import RingTheory.PowerSeries.Basic
-import Data.Finsupp.Pwo
+import RingTheory.MvPowerSeries.Basic
+import Data.Finsupp.PWO
 import Data.Finset.MulAntidiagonal
 import Algebra.Order.Group.WithTop
 
@@ -1037,7 +1037,7 @@ theorem order_pow {Γ} [LinearOrderedCancelAddCommMonoid Γ] [Semiring R] [NoZer
   · simp
   rcases eq_or_ne x 0 with (rfl | hx)
   · simp
-  rw [pow_succ', order_mul (pow_ne_zero _ hx) hx, succ_nsmul', IH]
+  rw [pow_succ, order_mul (pow_ne_zero _ hx) hx, succ_nsmul, IH]
 #align hahn_series.order_pow HahnSeries.order_pow
 -/
 
@@ -1387,7 +1387,7 @@ theorem ofPowerSeries_X_pow {R} [CommSemiring R] (n : ℕ) :
   rw [RingHom.map_pow]
   induction' n with n ih
   · simp; rfl
-  rw [pow_succ, ih, of_power_series_X, mul_comm, single_mul_single, one_mul, Nat.cast_succ]
+  rw [pow_succ', ih, of_power_series_X, mul_comm, single_mul_single, one_mul, Nat.cast_succ]
 #align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_X_pow
 -/
 
@@ -2060,7 +2060,7 @@ theorem embDomain_succ_smul_powers :
     rw [Set.mem_range, not_exists]
     exact Nat.succ_ne_zero
   · refine' Eq.trans (emb_domain_image _ ⟨Nat.succ, Nat.succ_injective⟩) _
-    simp only [pow_succ, coe_powers, coe_sub, smul_apply, coe_of_finsupp, Pi.sub_apply]
+    simp only [pow_succ', coe_powers, coe_sub, smul_apply, coe_of_finsupp, Pi.sub_apply]
     rw [Finsupp.single_eq_of_ne n.succ_ne_zero.symm, sub_zero]
 #align hahn_series.summable_family.emb_domain_succ_smul_powers HahnSeries.SummableFamily.embDomain_succ_smul_powers
 -/

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

@@ -317,7 +317,7 @@ theorem coeff_eq_zero_of_lt_order {x : HahnSeries Γ R} {i : Γ} (hi : i < x.ord
   rcases eq_or_ne x 0 with (rfl | hx)
   · simp
   contrapose! hi
-  rw [← Ne.def, ← mem_support] at hi 
+  rw [← Ne.def, ← mem_support] at hi
   rw [order_of_ne hx]
   exact Set.IsWF.not_lt_min _ _ hi
 #align hahn_series.coeff_eq_zero_of_lt_order HahnSeries.coeff_eq_zero_of_lt_order
@@ -354,7 +354,7 @@ theorem embDomain_coeff {f : Γ ↪o Γ'} {x : HahnSeries Γ R} {a : Γ} :
   · rw [dif_neg, Classical.not_not.1 fun c => ha ((mem_support _ _).2 c)]
     contrapose! ha
     obtain ⟨b, hb1, hb2⟩ := (Set.mem_image _ _ _).1 ha
-    rwa [f.injective hb2] at hb1 
+    rwa [f.injective hb2] at hb1
 #align hahn_series.emb_domain_coeff HahnSeries.embDomain_coeff
 -/
 
@@ -418,9 +418,9 @@ theorem embDomain_injective {f : Γ ↪o Γ'} :
     Function.Injective (embDomain f : HahnSeries Γ R → HahnSeries Γ' R) := fun x y xy =>
   by
   ext g
-  rw [ext_iff, Function.funext_iff] at xy 
+  rw [ext_iff, Function.funext_iff] at xy
   have xyg := xy (f g)
-  rwa [emb_domain_coeff, emb_domain_coeff] at xyg 
+  rwa [emb_domain_coeff, emb_domain_coeff] at xyg
 #align hahn_series.emb_domain_injective HahnSeries.embDomain_injective
 -/
 
@@ -464,7 +464,7 @@ theorem add_coeff {x y : HahnSeries Γ R} {a : Γ} : (x + y).coeff a = x.coeff a
 #print HahnSeries.support_add_subset /-
 theorem support_add_subset {x y : HahnSeries Γ R} : support (x + y) ⊆ support x ∪ support y :=
   fun a ha => by
-  rw [mem_support, add_coeff] at ha 
+  rw [mem_support, add_coeff] at ha
   rw [Set.mem_union, mem_support, mem_support]
   contrapose! ha
   rw [ha.1, ha.2, add_zero]
@@ -753,7 +753,7 @@ theorem mul_coeff_right' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {
   rw [mul_coeff]
   apply sum_subset_zero_on_sdiff (add_antidiagonal_mono_right hys) _ fun _ _ => rfl
   intro b hb
-  simp only [not_and, mem_sdiff, mem_add_antidiagonal, mem_support, not_imp_not] at hb 
+  simp only [not_and, mem_sdiff, mem_add_antidiagonal, mem_support, not_imp_not] at hb
   rw [hb.2 hb.1.1 hb.1.2.2, MulZeroClass.mul_zero]
 #align hahn_series.mul_coeff_right' HahnSeries.mul_coeff_right'
 -/
@@ -767,7 +767,7 @@ theorem mul_coeff_left' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a
   rw [mul_coeff]
   apply sum_subset_zero_on_sdiff (add_antidiagonal_mono_left hxs) _ fun _ _ => rfl
   intro b hb
-  simp only [not_and', mem_sdiff, mem_add_antidiagonal, mem_support, not_ne_iff] at hb 
+  simp only [not_and', mem_sdiff, mem_add_antidiagonal, mem_support, not_ne_iff] at hb
   rw [hb.2 ⟨hb.1.2.1, hb.1.2.2⟩, MulZeroClass.zero_mul]
 #align hahn_series.mul_coeff_left' HahnSeries.mul_coeff_left'
 -/
@@ -812,8 +812,8 @@ theorem single_mul_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
     simp only [not_mem_empty, not_and, Set.mem_singleton_iff, Classical.not_not,
       mem_add_antidiagonal, Set.mem_setOf_eq, iff_false_iff]
     rintro rfl h2 h1
-    rw [add_comm] at h1 
-    rw [← add_right_cancel h1] at hx 
+    rw [add_comm] at h1
+    rw [← add_right_cancel h1] at hx
     exact h2 hx
   trans ∑ ij : Γ × Γ in {(b, a)}, (single b r).coeff ij.fst * x.coeff ij.snd
   · apply sum_congr _ fun _ _ => rfl
@@ -822,7 +822,7 @@ theorem single_mul_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
       Set.mem_setOf_eq]
     constructor
     · rintro ⟨rfl, h2, h1⟩
-      rw [add_comm] at h1 
+      rw [add_comm] at h1
       refine' ⟨rfl, add_right_cancel h1⟩
     · rintro ⟨rfl, rfl⟩
       exact ⟨rfl, by simp [hx], add_comm _ _⟩
@@ -844,7 +844,7 @@ theorem mul_single_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
     simp only [not_mem_empty, not_and, Set.mem_singleton_iff, Classical.not_not,
       mem_add_antidiagonal, Set.mem_setOf_eq, iff_false_iff]
     rintro h2 rfl h1
-    rw [← add_right_cancel h1] at hx 
+    rw [← add_right_cancel h1] at hx
     exact h2 hx
   trans ∑ ij : Γ × Γ in {(a, b)}, x.coeff ij.fst * (single b r).coeff ij.snd
   · apply sum_congr _ fun _ _ => rfl
@@ -888,7 +888,7 @@ theorem support_mul_subset_add_support [NonUnitalNonAssocSemiring R] {x y : Hahn
   · exact x.is_pwo_support
   · exact y.is_pwo_support
   contrapose! hx
-  simp only [not_nonempty_iff_eq_empty, Ne.def, Set.mem_setOf_eq] at hx 
+  simp only [not_nonempty_iff_eq_empty, Ne.def, Set.mem_setOf_eq] at hx
   simp [hx]
 #align hahn_series.support_mul_subset_add_support HahnSeries.support_mul_subset_add_support
 -/
@@ -919,7 +919,7 @@ private theorem mul_assoc' [NonUnitalSemiring R] (x y z : HahnSeries Γ R) :
     exact ⟨⟨nx, Set.add_mem_add ny nz, (add_assoc _ _ _).symm⟩, ny, nz⟩
   · rintro ⟨⟨i1, j1⟩, k1, l1⟩ ⟨⟨i2, j2⟩, k2, l2⟩ H1 H2 H3 H4 H5
     simp only [Set.image2_add, Prod.mk.inj_iff, mem_add_antidiagonal, Ne.def, Set.image_prod,
-      mem_sigma, Set.mem_setOf_eq, heq_iff_eq] at H1 H3 H5 
+      mem_sigma, Set.mem_setOf_eq, heq_iff_eq] at H1 H3 H5
     obtain ⟨⟨rfl, H⟩, rfl, rfl⟩ := H5
     simp only [and_true_iff, Prod.mk.inj_iff, eq_self_iff_true, heq_iff_eq, ← H1.2.2.2, ← H3.2.2.2]
   · rintro ⟨⟨i, j⟩, ⟨k, l⟩⟩ H1 H2
@@ -1056,7 +1056,7 @@ theorem single_mul_single {a b : Γ} {r s : R} : single a r * single b s = singl
   · rw [single_coeff_of_ne h, mul_coeff, sum_eq_zero]
     simp_rw [mem_add_antidiagonal]
     rintro ⟨y, z⟩ ⟨hy, hz, rfl⟩
-    rw [eq_of_mem_support_single hy, eq_of_mem_support_single hz] at h 
+    rw [eq_of_mem_support_single hy, eq_of_mem_support_single hz] at h
     exact (h rfl).elim
 #align hahn_series.single_mul_single HahnSeries.single_mul_single
 -/
@@ -1097,9 +1097,9 @@ theorem C_one : C (1 : R) = (1 : HahnSeries Γ R) :=
 theorem C_injective : Function.Injective (C : R → HahnSeries Γ R) :=
   by
   intro r s rs
-  rw [ext_iff, Function.funext_iff] at rs 
+  rw [ext_iff, Function.funext_iff] at rs
   have h := rs 0
-  rwa [C_apply, single_coeff_same, C_apply, single_coeff_same] at h 
+  rwa [C_apply, single_coeff_same, C_apply, single_coeff_same] at h
 #align hahn_series.C_injective HahnSeries.C_injective
 -/
 
@@ -1107,7 +1107,7 @@ theorem C_injective : Function.Injective (C : R → HahnSeries Γ R) :=
 theorem C_ne_zero {r : R} (h : r ≠ 0) : (C r : HahnSeries Γ R) ≠ 0 :=
   by
   contrapose! h
-  rw [← C_zero] at h 
+  rw [← C_zero] at h
   exact C_injective h
 #align hahn_series.C_ne_zero HahnSeries.C_ne_zero
 -/
@@ -1157,7 +1157,7 @@ theorem embDomain_mul [NonUnitalNonAssocSemiring R] (f : Γ ↪o Γ')
     apply sum_subset
     · rintro ⟨i, j⟩ hij
       simp only [exists_prop, mem_map, Prod.mk.inj_iff, mem_add_antidiagonal,
-        Function.Embedding.coe_prodMap, mem_support, Prod.exists] at hij 
+        Function.Embedding.coe_prodMap, mem_support, Prod.exists] at hij
       obtain ⟨i, j, ⟨hx, hy, rfl⟩, rfl, rfl⟩ := hij
       simp [hx, hy, hf]
     · rintro ⟨_, _⟩ h1 h2
@@ -1167,7 +1167,7 @@ theorem embDomain_mul [NonUnitalNonAssocSemiring R] (f : Γ ↪o Γ')
       simp only [exists_prop, mem_map, Prod.mk.inj_iff, mem_add_antidiagonal,
         Function.Embedding.coe_prodMap, mem_support, Prod.exists]
       simp only [mem_add_antidiagonal, emb_domain_coeff, mem_support, ← hf,
-        OrderEmbedding.eq_iff_eq] at h1 
+        OrderEmbedding.eq_iff_eq] at h1
       exact ⟨i, j, h1, rfl⟩
   · rw [emb_domain_notin_range hg, eq_comm]
     contrapose! hg
@@ -1573,7 +1573,7 @@ theorem isPWO_iUnion_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring
   induction' n with n ih <;> intro g hn
   · simp only [exists_prop, and_true_iff, Set.mem_singleton_iff, Set.setOf_eq_eq_singleton,
       mem_support, ite_eq_right_iff, Ne.def, not_false_iff, one_ne_zero, pow_zero,
-      Classical.not_forall, one_coeff] at hn 
+      Classical.not_forall, one_coeff] at hn
     rw [hn, SetLike.mem_coe]
     exact AddSubmonoid.zero_mem _
   · obtain ⟨i, j, hi, hj, rfl⟩ := support_mul_subset_add_support hn
@@ -1622,9 +1622,8 @@ theorem finite_co_support (s : SummableFamily Γ R α) (g : Γ) :
 
 #print HahnSeries.SummableFamily.coe_injective /-
 theorem coe_injective : @Function.Injective (SummableFamily Γ R α) (α → HahnSeries Γ R) coeFn
-  | ⟨f1, hU1, hf1⟩, ⟨f2, hU2, hf2⟩, h =>
-    by
-    change f1 = f2 at h 
+  | ⟨f1, hU1, hf1⟩, ⟨f2, hU2, hf2⟩, h => by
+    change f1 = f2 at h
     subst h
 #align hahn_series.summable_family.coe_injective HahnSeries.SummableFamily.coe_injective
 -/
@@ -1648,7 +1647,7 @@ instance : Add (SummableFamily Γ R α) :=
         ((x.finite_co_support g).union (y.finite_co_support g)).Subset
           (by
             intro a ha
-            change (x a).coeff g + (y a).coeff g ≠ 0 at ha 
+            change (x a).coeff g + (y a).coeff g ≠ 0 at ha
             rw [Set.mem_union, Function.mem_support, Function.mem_support]
             contrapose! ha
             rw [ha.1, ha.2, add_zero]) }⟩
@@ -1720,7 +1719,7 @@ theorem hsum_coeff {s : SummableFamily Γ R α} {g : Γ} : s.hsum.coeff g = ∑
 theorem support_hsum_subset {s : SummableFamily Γ R α} : s.hsum.support ⊆ ⋃ a : α, (s a).support :=
   fun g hg =>
   by
-  rw [mem_support, hsum_coeff, finsum_eq_sum _ (s.finite_co_support _)] at hg 
+  rw [mem_support, hsum_coeff, finsum_eq_sum _ (s.finite_co_support _)] at hg
   obtain ⟨a, h1, h2⟩ := exists_ne_zero_of_sum_ne_zero hg
   rw [Set.mem_iUnion]
   exact ⟨a, h2⟩
@@ -1949,7 +1948,7 @@ def embDomain (s : SummableFamily Γ R α) (f : α ↪ β) : SummableFamily Γ R
     by
     refine' s.is_pwo_Union_support.mono (Set.iUnion_subset fun b g h => _)
     by_cases hb : b ∈ Set.range f
-    · rw [dif_pos hb] at h 
+    · rw [dif_pos hb] at h
       exact Set.mem_iUnion.2 ⟨Classical.choose hb, h⟩
     · contrapose! h
       simp [hb]
@@ -1958,7 +1957,7 @@ def embDomain (s : SummableFamily Γ R α) (f : α ↪ β) : SummableFamily Γ R
       (by
         intro b h
         by_cases hb : b ∈ Set.range f
-        · simp only [Ne.def, Set.mem_setOf_eq, dif_pos hb] at h 
+        · simp only [Ne.def, Set.mem_setOf_eq, dif_pos hb] at h
           exact ⟨Classical.choose hb, h, Classical.choose_spec hb⟩
         · contrapose! h
           simp only [Ne.def, Set.mem_setOf_eq, dif_neg hb, Classical.not_not, zero_coeff])
@@ -2122,10 +2121,10 @@ theorem isUnit_iff {x : HahnSeries Γ R} : IsUnit x ↔ IsUnit (x.coeff x.order)
     rw [ui, one_coeff, if_pos]
     rw [← order_mul (left_ne_zero_of_mul_eq_one ui) (right_ne_zero_of_mul_eq_one ui), ui, order_one]
   · rintro ⟨⟨u, i, ui, iu⟩, h⟩
-    rw [Units.val_mk] at h 
-    rw [h] at iu 
+    rw [Units.val_mk] at h
+    rw [h] at iu
     have h := summable_family.one_sub_self_mul_hsum_powers (unit_aux x iu)
-    rw [sub_sub_cancel] at h 
+    rw [sub_sub_cancel] at h
     exact isUnit_of_mul_isUnit_right (isUnit_of_mul_eq_one _ _ h)
 #align hahn_series.is_unit_iff HahnSeries.isUnit_iff
 -/
@@ -2147,7 +2146,7 @@ instance [Field R] : Field (HahnSeries Γ R) :=
       have h :=
         summable_family.one_sub_self_mul_hsum_powers
           (unit_aux x (inv_mul_cancel (coeff_order_ne_zero x0)))
-      rw [sub_sub_cancel] at h 
+      rw [sub_sub_cancel] at h
       rw [← mul_assoc, mul_comm x, h] }
 
 end Inversion

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

@@ -1592,7 +1592,7 @@ variable (Γ) (R) [PartialOrder Γ] [AddCommMonoid R]
 structure SummableFamily (α : Type _) where
   toFun : α → HahnSeries Γ R
   isPWO_iUnion_support' : Set.IsPWO (⋃ a : α, (to_fun a).support)
-  finite_co_support' : ∀ g : Γ, {a | (to_fun a).coeff g ≠ 0}.Finite
+  finiteₓ_co_support' : ∀ g : Γ, {a | (to_fun a).coeff g ≠ 0}.Finite
 #align hahn_series.summable_family HahnSeries.SummableFamily
 -/
 
@@ -1616,7 +1616,7 @@ theorem isPWO_iUnion_support (s : SummableFamily Γ R α) : Set.IsPWO (⋃ a : 
 #print HahnSeries.SummableFamily.finite_co_support /-
 theorem finite_co_support (s : SummableFamily Γ R α) (g : Γ) :
     (Function.support fun a => (s a).coeff g).Finite :=
-  s.finite_co_support' g
+  s.finiteₓ_co_support' g
 #align hahn_series.summable_family.finite_co_support HahnSeries.SummableFamily.finite_co_support
 -/
 
@@ -1644,7 +1644,7 @@ instance : Add (SummableFamily Γ R α) :=
           (by
             rw [← Set.iUnion_union_distrib]
             exact Set.iUnion_mono fun a => support_add_subset)
-      finite_co_support' := fun g =>
+      finiteₓ_co_support' := fun g =>
         ((x.finite_co_support g).union (y.finite_co_support g)).Subset
           (by
             intro a ha
@@ -1749,7 +1749,7 @@ instance : AddCommGroup (SummableFamily Γ R α) :=
     neg := fun s =>
       { toFun := fun a => -s a
         isPWO_iUnion_support' := by simp_rw [support_neg]; exact s.is_pwo_Union_support'
-        finite_co_support' := fun g =>
+        finiteₓ_co_support' := fun g =>
           by
           simp only [neg_coeff', Pi.neg_apply, Ne.def, neg_eq_zero]
           exact s.finite_co_support g }
@@ -1797,7 +1797,7 @@ instance : SMul (HahnSeries Γ R) (SummableFamily Γ R α)
         intro g
         simp only [Set.mem_iUnion, exists_imp]
         exact fun a ha => (Set.add_subset_add (Set.Subset.refl _) (Set.subset_iUnion _ a)) ha
-      finite_co_support' := fun g =>
+      finiteₓ_co_support' := fun g =>
         by
         refine'
           ((add_antidiagonal x.is_pwo_support s.is_pwo_Union_support g).finite_toSet.biUnion'
@@ -1902,7 +1902,7 @@ def ofFinsupp (f : α →₀ HahnSeries Γ R) : SummableFamily Γ R α
       rw [Finsupp.mem_support_iff, ← support_nonempty_iff]
       exact ⟨g, hg⟩
     exact Set.mem_biUnion haf hg
-  finite_co_support' g :=
+  finiteₓ_co_support' g :=
     by
     refine' f.support.finite_to_set.subset fun a ha => _
     simp only [coeff.add_monoid_hom_apply, mem_coe, Finsupp.mem_support_iff, Ne.def,
@@ -1953,7 +1953,7 @@ def embDomain (s : SummableFamily Γ R α) (f : α ↪ β) : SummableFamily Γ R
       exact Set.mem_iUnion.2 ⟨Classical.choose hb, h⟩
     · contrapose! h
       simp [hb]
-  finite_co_support' g :=
+  finiteₓ_co_support' g :=
     ((s.finite_co_support g).image f).Subset
       (by
         intro b h
@@ -2012,7 +2012,7 @@ def powers (x : HahnSeries Γ R) (hx : 0 < addVal Γ R x) : SummableFamily Γ R
     where
   toFun n := x ^ n
   isPWO_iUnion_support' := isPWO_iUnion_support_powers hx
-  finite_co_support' g := by
+  finiteₓ_co_support' g := by
     have hpwo := is_pwo_Union_support_powers hx
     by_cases hg : g ∈ ⋃ n : ℕ, {g | (x ^ n).coeff g ≠ 0}
     swap; · exact set.finite_empty.subset fun n hn => hg (Set.mem_iUnion.2 ⟨n, hn⟩)

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

@@ -1283,6 +1283,12 @@ def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R
     ext n
     simp only [PowerSeries.coeff_mul, PowerSeries.coeff_mk, mul_coeff, is_pwo_support]
     classical
+    refine' sum_filter_ne_zero.symm.trans ((sum_congr _ fun _ _ => rfl).trans sum_filter_ne_zero)
+    ext m
+    simp only [nat.mem_antidiagonal, mem_add_antidiagonal, and_congr_left_iff, mem_filter,
+      mem_support]
+    rintro h
+    rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
 #align hahn_series.to_power_series HahnSeries.toPowerSeries
 -/
 
@@ -1404,6 +1410,14 @@ def toMvPowerSeries {σ : Type _} [Fintype σ] : HahnSeries (σ →₀ ℕ) R 
     ext n
     simp only [MvPowerSeries.coeff_mul]
     classical
+    change (f * g).coeff n = _
+    simp_rw [mul_coeff]
+    refine' sum_filter_ne_zero.symm.trans ((sum_congr _ fun _ _ => rfl).trans sum_filter_ne_zero)
+    ext m
+    simp only [and_congr_left_iff, mem_add_antidiagonal, mem_filter, mem_support,
+      Finsupp.mem_antidiagonal]
+    rintro h
+    rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
 #align hahn_series.to_mv_power_series HahnSeries.toMvPowerSeries
 -/
 

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

@@ -1283,12 +1283,6 @@ def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R
     ext n
     simp only [PowerSeries.coeff_mul, PowerSeries.coeff_mk, mul_coeff, is_pwo_support]
     classical
-    refine' sum_filter_ne_zero.symm.trans ((sum_congr _ fun _ _ => rfl).trans sum_filter_ne_zero)
-    ext m
-    simp only [nat.mem_antidiagonal, mem_add_antidiagonal, and_congr_left_iff, mem_filter,
-      mem_support]
-    rintro h
-    rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
 #align hahn_series.to_power_series HahnSeries.toPowerSeries
 -/
 
@@ -1410,14 +1404,6 @@ def toMvPowerSeries {σ : Type _} [Fintype σ] : HahnSeries (σ →₀ ℕ) R 
     ext n
     simp only [MvPowerSeries.coeff_mul]
     classical
-    change (f * g).coeff n = _
-    simp_rw [mul_coeff]
-    refine' sum_filter_ne_zero.symm.trans ((sum_congr _ fun _ _ => rfl).trans sum_filter_ne_zero)
-    ext m
-    simp only [and_congr_left_iff, mem_add_antidiagonal, mem_filter, mem_support,
-      Finsupp.mem_antidiagonal]
-    rintro h
-    rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
 #align hahn_series.to_mv_power_series HahnSeries.toMvPowerSeries
 -/
 

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

@@ -596,7 +596,7 @@ variable [PartialOrder Γ] {V : Type _} [Monoid R] [AddMonoid V] [DistribMulActi
 instance : SMul R (HahnSeries Γ V) :=
   ⟨fun r x =>
     { coeff := r • x.coeff
-      isPWO_support' := x.isPWO_support.mono (Function.support_smul_subset_right r x.coeff) }⟩
+      isPWO_support' := x.isPWO_support.mono (Function.support_const_smul_subset r x.coeff) }⟩
 
 #print HahnSeries.smul_coeff /-
 @[simp]

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

@@ -66,7 +66,7 @@ noncomputable section
 @[ext]
 structure HahnSeries (Γ : Type _) (R : Type _) [PartialOrder Γ] [Zero R] where
   coeff : Γ → R
-  isPwo_support' : (support coeff).IsPwo
+  isPWO_support' : (support coeff).IsPWO
 #align hahn_series HahnSeries
 -/
 
@@ -99,18 +99,18 @@ def support (x : HahnSeries Γ R) : Set Γ :=
 #align hahn_series.support HahnSeries.support
 -/
 
-#print HahnSeries.isPwo_support /-
+#print HahnSeries.isPWO_support /-
 @[simp]
-theorem isPwo_support (x : HahnSeries Γ R) : x.support.IsPwo :=
-  x.isPwo_support'
-#align hahn_series.is_pwo_support HahnSeries.isPwo_support
+theorem isPWO_support (x : HahnSeries Γ R) : x.support.IsPWO :=
+  x.isPWO_support'
+#align hahn_series.is_pwo_support HahnSeries.isPWO_support
 -/
 
-#print HahnSeries.isWf_support /-
+#print HahnSeries.isWF_support /-
 @[simp]
-theorem isWf_support (x : HahnSeries Γ R) : x.support.IsWf :=
-  x.isPwo_support.IsWf
-#align hahn_series.is_wf_support HahnSeries.isWf_support
+theorem isWF_support (x : HahnSeries Γ R) : x.support.IsWF :=
+  x.isPWO_support.IsWF
+#align hahn_series.is_wf_support HahnSeries.isWF_support
 -/
 
 #print HahnSeries.mem_support /-
@@ -122,7 +122,7 @@ theorem mem_support (x : HahnSeries Γ R) (a : Γ) : a ∈ x.support ↔ x.coeff
 
 instance : Zero (HahnSeries Γ R) :=
   ⟨{  coeff := 0
-      isPwo_support' := by simp }⟩
+      isPWO_support' := by simp }⟩
 
 instance : Inhabited (HahnSeries Γ R) :=
   ⟨0⟩
@@ -177,7 +177,7 @@ def single (a : Γ) : ZeroHom R (HahnSeries Γ R)
     where
   toFun r :=
     { coeff := Pi.single a r
-      isPwo_support' := (Set.isPwo_singleton a).mono Pi.support_single_subset }
+      isPWO_support' := (Set.isPWO_singleton a).mono Pi.support_single_subset }
   map_zero' := ext _ _ (Pi.single_zero _)
 #align hahn_series.single HahnSeries.single
 -/
@@ -268,7 +268,7 @@ variable [Zero Γ]
 /-- The order of a nonzero Hahn series `x` is a minimal element of `Γ` where `x` has a
   nonzero coefficient, the order of 0 is 0. -/
 def order (x : HahnSeries Γ R) : Γ :=
-  if h : x = 0 then 0 else x.isWf_support.min (support_nonempty_iff.2 h)
+  if h : x = 0 then 0 else x.isWF_support.min (support_nonempty_iff.2 h)
 #align hahn_series.order HahnSeries.order
 -/
 
@@ -281,7 +281,7 @@ theorem order_zero : order (0 : HahnSeries Γ R) = 0 :=
 
 #print HahnSeries.order_of_ne /-
 theorem order_of_ne {x : HahnSeries Γ R} (hx : x ≠ 0) :
-    order x = x.isWf_support.min (support_nonempty_iff.2 hx) :=
+    order x = x.isWF_support.min (support_nonempty_iff.2 hx) :=
   dif_neg hx
 #align hahn_series.order_of_ne HahnSeries.order_of_ne
 -/
@@ -298,7 +298,7 @@ theorem coeff_order_ne_zero {x : HahnSeries Γ R} (hx : x ≠ 0) : x.coeff x.ord
 theorem order_le_of_coeff_ne_zero {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x : HahnSeries Γ R}
     {g : Γ} (h : x.coeff g ≠ 0) : x.order ≤ g :=
   le_trans (le_of_eq (order_of_ne (ne_zero_of_coeff_ne_zero h)))
-    (Set.IsWf.min_le _ _ ((mem_support _ _).2 h))
+    (Set.IsWF.min_le _ _ ((mem_support _ _).2 h))
 #align hahn_series.order_le_of_coeff_ne_zero HahnSeries.order_le_of_coeff_ne_zero
 -/
 
@@ -307,7 +307,7 @@ theorem order_le_of_coeff_ne_zero {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x
 theorem order_single (h : r ≠ 0) : (single a r).order = a :=
   (order_of_ne (single_ne_zero h)).trans
     (support_single_subset
-      ((single a r).isWf_support.min_mem (support_nonempty_iff.2 (single_ne_zero h))))
+      ((single a r).isWF_support.min_mem (support_nonempty_iff.2 (single_ne_zero h))))
 #align hahn_series.order_single HahnSeries.order_single
 -/
 
@@ -319,7 +319,7 @@ theorem coeff_eq_zero_of_lt_order {x : HahnSeries Γ R} {i : Γ} (hi : i < x.ord
   contrapose! hi
   rw [← Ne.def, ← mem_support] at hi 
   rw [order_of_ne hx]
-  exact Set.IsWf.not_lt_min _ _ hi
+  exact Set.IsWF.not_lt_min _ _ hi
 #align hahn_series.coeff_eq_zero_of_lt_order HahnSeries.coeff_eq_zero_of_lt_order
 -/
 
@@ -333,8 +333,8 @@ variable {Γ' : Type _} [PartialOrder Γ']
 /-- Extends the domain of a `hahn_series` by an `order_embedding`. -/
 def embDomain (f : Γ ↪o Γ') : HahnSeries Γ R → HahnSeries Γ' R := fun x =>
   { coeff := fun b : Γ' => if h : b ∈ f '' x.support then x.coeff (Classical.choose h) else 0
-    isPwo_support' :=
-      (x.isPwo_support.image_of_monotone f.Monotone).mono fun b hb =>
+    isPWO_support' :=
+      (x.isPWO_support.image_of_monotone f.Monotone).mono fun b hb =>
         by
         contrapose! hb
         rw [Function.mem_support, dif_neg hb, Classical.not_not] }
@@ -439,7 +439,7 @@ variable [AddMonoid R]
 instance : Add (HahnSeries Γ R)
     where add x y :=
     { coeff := x.coeff + y.coeff
-      isPwo_support' := (x.isPwo_support.union y.isPwo_support).mono (Function.support_add _ _) }
+      isPWO_support' := (x.isPWO_support.union y.isPWO_support).mono (Function.support_add _ _) }
 
 instance : AddMonoid (HahnSeries Γ R) where
   zero := 0
@@ -478,10 +478,10 @@ theorem min_order_le_order_add {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x y :
   by_cases hx : x = 0; · simp [hx]
   by_cases hy : y = 0; · simp [hy]
   rw [order_of_ne hx, order_of_ne hy, order_of_ne hxy]
-  refine' le_trans _ (Set.IsWf.min_le_min_of_subset support_add_subset)
+  refine' le_trans _ (Set.IsWF.min_le_min_of_subset support_add_subset)
   · exact x.is_wf_support.union y.is_wf_support
   · exact Set.Nonempty.mono (Set.subset_union_left _ _) (support_nonempty_iff.2 hx)
-  rw [Set.IsWf.min_union]
+  rw [Set.IsWF.min_union]
 #align hahn_series.min_order_le_order_add HahnSeries.min_order_le_order_add
 -/
 
@@ -536,7 +536,7 @@ instance : AddGroup (HahnSeries Γ R) :=
     HahnSeries.addMonoid with
     neg := fun x =>
       { coeff := fun a => -x.coeff a
-        isPwo_support' := by
+        isPWO_support' := by
           rw [Function.support_neg]
           exact x.is_pwo_support }
     add_left_neg := fun x => by ext; apply add_left_neg }
@@ -596,7 +596,7 @@ variable [PartialOrder Γ] {V : Type _} [Monoid R] [AddMonoid V] [DistribMulActi
 instance : SMul R (HahnSeries Γ V) :=
   ⟨fun r x =>
     { coeff := r • x.coeff
-      isPwo_support' := x.isPwo_support.mono (Function.support_smul_subset_right r x.coeff) }⟩
+      isPWO_support' := x.isPWO_support.mono (Function.support_smul_subset_right r x.coeff) }⟩
 
 #print HahnSeries.smul_coeff /-
 @[simp]
@@ -721,8 +721,8 @@ theorem order_one [MulZeroOneClass R] : order (1 : HahnSeries Γ R) = 0 :=
 instance [NonUnitalNonAssocSemiring R] : Mul (HahnSeries Γ R)
     where mul x y :=
     { coeff := fun a =>
-        ∑ ij in addAntidiagonal x.isPwo_support y.isPwo_support a, x.coeff ij.fst * y.coeff ij.snd
-      isPwo_support' :=
+        ∑ ij in addAntidiagonal x.isPWO_support y.isPWO_support a, x.coeff ij.fst * y.coeff ij.snd
+      isPWO_support' :=
         haveI h :
           {a : Γ |
               ∑ ij : Γ × Γ in add_antidiagonal x.is_pwo_support y.is_pwo_support a,
@@ -739,16 +739,16 @@ instance [NonUnitalNonAssocSemiring R] : Mul (HahnSeries Γ R)
 @[simp]
 theorem mul_coeff [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} :
     (x * y).coeff a =
-      ∑ ij in addAntidiagonal x.isPwo_support y.isPwo_support a, x.coeff ij.fst * y.coeff ij.snd :=
+      ∑ ij in addAntidiagonal x.isPWO_support y.isPWO_support a, x.coeff ij.fst * y.coeff ij.snd :=
   rfl
 #align hahn_series.mul_coeff HahnSeries.mul_coeff
 -/
 
 #print HahnSeries.mul_coeff_right' /-
 theorem mul_coeff_right' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} {s : Set Γ}
-    (hs : s.IsPwo) (hys : y.support ⊆ s) :
+    (hs : s.IsPWO) (hys : y.support ⊆ s) :
     (x * y).coeff a =
-      ∑ ij in addAntidiagonal x.isPwo_support hs a, x.coeff ij.fst * y.coeff ij.snd :=
+      ∑ ij in addAntidiagonal x.isPWO_support hs a, x.coeff ij.fst * y.coeff ij.snd :=
   by
   rw [mul_coeff]
   apply sum_subset_zero_on_sdiff (add_antidiagonal_mono_right hys) _ fun _ _ => rfl
@@ -760,9 +760,9 @@ theorem mul_coeff_right' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {
 
 #print HahnSeries.mul_coeff_left' /-
 theorem mul_coeff_left' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} {s : Set Γ}
-    (hs : s.IsPwo) (hxs : x.support ⊆ s) :
+    (hs : s.IsPWO) (hxs : x.support ⊆ s) :
     (x * y).coeff a =
-      ∑ ij in addAntidiagonal hs y.isPwo_support a, x.coeff ij.fst * y.coeff ij.snd :=
+      ∑ ij in addAntidiagonal hs y.isPWO_support a, x.coeff ij.fst * y.coeff ij.snd :=
   by
   rw [mul_coeff]
   apply sum_subset_zero_on_sdiff (add_antidiagonal_mono_left hxs) _ fun _ _ => rfl
@@ -1023,8 +1023,8 @@ theorem order_mul {Γ} [LinearOrderedCancelAddCommMonoid Γ] [NonUnitalNonAssocS
   · apply order_le_of_coeff_ne_zero
     rw [mul_coeff_order_add_order x y]
     exact mul_ne_zero (coeff_order_ne_zero hx) (coeff_order_ne_zero hy)
-  · rw [order_of_ne hx, order_of_ne hy, order_of_ne (mul_ne_zero hx hy), ← Set.IsWf.min_add]
-    exact Set.IsWf.min_le_min_of_subset support_mul_subset_add_support
+  · rw [order_of_ne hx, order_of_ne hy, order_of_ne (mul_ne_zero hx hy), ← Set.IsWF.min_add]
+    exact Set.IsWF.min_le_min_of_subset support_mul_subset_add_support
 #align hahn_series.order_mul HahnSeries.order_mul
 -/
 
@@ -1275,7 +1275,7 @@ variable [Semiring R]
 def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R
     where
   toFun f := PowerSeries.mk f.coeff
-  invFun f := ⟨fun n => PowerSeries.coeff R n f, (Nat.lt_wfRel.IsWf _).IsPwo⟩
+  invFun f := ⟨fun n => PowerSeries.coeff R n f, (Nat.lt_wfRel.IsWF _).IsPWO⟩
   left_inv f := by ext; simp
   right_inv f := by ext; simp
   map_add' f g := by ext; simp
@@ -1402,7 +1402,7 @@ After importing `algebra.order.pi` the ring `hahn_series (σ → ℕ) R` could b
 def toMvPowerSeries {σ : Type _} [Fintype σ] : HahnSeries (σ →₀ ℕ) R ≃+* MvPowerSeries σ R
     where
   toFun f := f.coeff
-  invFun f := ⟨(f : (σ →₀ ℕ) → R), Finsupp.isPwo _⟩
+  invFun f := ⟨(f : (σ →₀ ℕ) → R), Finsupp.isPWO _⟩
   left_inv f := by ext; simp
   right_inv f := by ext; simp
   map_add' f g := by ext; simp
@@ -1563,9 +1563,9 @@ theorem addVal_le_of_coeff_ne_zero {x : HahnSeries Γ R} {g : Γ} (h : x.coeff g
 
 end Valuation
 
-#print HahnSeries.isPwo_iUnion_support_powers /-
-theorem isPwo_iUnion_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R]
-    {x : HahnSeries Γ R} (hx : 0 < addVal Γ R x) : (⋃ n : ℕ, (x ^ n).support).IsPwo :=
+#print HahnSeries.isPWO_iUnion_support_powers /-
+theorem isPWO_iUnion_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R]
+    {x : HahnSeries Γ R} (hx : 0 < addVal Γ R x) : (⋃ n : ℕ, (x ^ n).support).IsPWO :=
   by
   apply (x.is_wf_support.is_pwo.add_submonoid_closure fun g hg => _).mono _
   · exact WithTop.coe_le_coe.1 (le_trans (le_of_lt hx) (add_val_le_of_coeff_ne_zero hg))
@@ -1578,7 +1578,7 @@ theorem isPwo_iUnion_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring
     exact AddSubmonoid.zero_mem _
   · obtain ⟨i, j, hi, hj, rfl⟩ := support_mul_subset_add_support hn
     exact SetLike.mem_coe.2 (AddSubmonoid.add_mem _ (AddSubmonoid.subset_closure hi) (ih hj))
-#align hahn_series.is_pwo_Union_support_powers HahnSeries.isPwo_iUnion_support_powers
+#align hahn_series.is_pwo_Union_support_powers HahnSeries.isPWO_iUnion_support_powers
 -/
 
 section
@@ -1591,7 +1591,7 @@ variable (Γ) (R) [PartialOrder Γ] [AddCommMonoid R]
   and that only finitely many series are nonzero at any given coefficient. -/
 structure SummableFamily (α : Type _) where
   toFun : α → HahnSeries Γ R
-  isPwo_iUnion_support' : Set.IsPwo (⋃ a : α, (to_fun a).support)
+  isPWO_iUnion_support' : Set.IsPWO (⋃ a : α, (to_fun a).support)
   finite_co_support' : ∀ g : Γ, {a | (to_fun a).coeff g ≠ 0}.Finite
 #align hahn_series.summable_family HahnSeries.SummableFamily
 -/
@@ -1607,10 +1607,10 @@ variable [PartialOrder Γ] [AddCommMonoid R] {α : Type _}
 instance : CoeFun (SummableFamily Γ R α) fun _ => α → HahnSeries Γ R :=
   ⟨toFun⟩
 
-#print HahnSeries.SummableFamily.isPwo_iUnion_support /-
-theorem isPwo_iUnion_support (s : SummableFamily Γ R α) : Set.IsPwo (⋃ a : α, (s a).support) :=
-  s.isPwo_iUnion_support'
-#align hahn_series.summable_family.is_pwo_Union_support HahnSeries.SummableFamily.isPwo_iUnion_support
+#print HahnSeries.SummableFamily.isPWO_iUnion_support /-
+theorem isPWO_iUnion_support (s : SummableFamily Γ R α) : Set.IsPWO (⋃ a : α, (s a).support) :=
+  s.isPWO_iUnion_support'
+#align hahn_series.summable_family.is_pwo_Union_support HahnSeries.SummableFamily.isPWO_iUnion_support
 -/
 
 #print HahnSeries.SummableFamily.finite_co_support /-
@@ -1639,8 +1639,8 @@ theorem ext {s t : SummableFamily Γ R α} (h : ∀ a : α, s a = t a) : s = t :
 instance : Add (SummableFamily Γ R α) :=
   ⟨fun x y =>
     { toFun := x + y
-      isPwo_iUnion_support' :=
-        (x.isPwo_iUnion_support.union y.isPwo_iUnion_support).mono
+      isPWO_iUnion_support' :=
+        (x.isPWO_iUnion_support.union y.isPWO_iUnion_support).mono
           (by
             rw [← Set.iUnion_union_distrib]
             exact Set.iUnion_mono fun a => support_add_subset)
@@ -1699,8 +1699,8 @@ instance : AddCommMonoid (SummableFamily Γ R α)
 def hsum (s : SummableFamily Γ R α) : HahnSeries Γ R
     where
   coeff g := ∑ᶠ i, (s i).coeff g
-  isPwo_support' :=
-    s.isPwo_iUnion_support.mono fun g => by
+  isPWO_support' :=
+    s.isPWO_iUnion_support.mono fun g => by
       contrapose
       rw [Set.mem_iUnion, not_exists, Function.mem_support, Classical.not_not]
       simp_rw [mem_support, Classical.not_not]
@@ -1748,7 +1748,7 @@ instance : AddCommGroup (SummableFamily Γ R α) :=
     SummableFamily.addCommMonoid with
     neg := fun s =>
       { toFun := fun a => -s a
-        isPwo_iUnion_support' := by simp_rw [support_neg]; exact s.is_pwo_Union_support'
+        isPWO_iUnion_support' := by simp_rw [support_neg]; exact s.is_pwo_Union_support'
         finite_co_support' := fun g =>
           by
           simp only [neg_coeff', Pi.neg_apply, Ne.def, neg_eq_zero]
@@ -1790,7 +1790,7 @@ variable [OrderedCancelAddCommMonoid Γ] [Semiring R] {α : Type _}
 instance : SMul (HahnSeries Γ R) (SummableFamily Γ R α)
     where smul x s :=
     { toFun := fun a => x * s a
-      isPwo_iUnion_support' :=
+      isPWO_iUnion_support' :=
         by
         apply (x.is_pwo_support.add s.is_pwo_Union_support).mono
         refine' Set.Subset.trans (Set.iUnion_mono fun a => support_mul_subset_add_support) _
@@ -1893,9 +1893,9 @@ variable [PartialOrder Γ] [AddCommMonoid R] {α : Type _}
 def ofFinsupp (f : α →₀ HahnSeries Γ R) : SummableFamily Γ R α
     where
   toFun := f
-  isPwo_iUnion_support' :=
+  isPWO_iUnion_support' :=
     by
-    apply (f.support.is_pwo_bUnion.2 fun a ha => (f a).isPwo_support).mono
+    apply (f.support.is_pwo_bUnion.2 fun a ha => (f a).isPWO_support).mono
     refine' Set.iUnion_subset_iff.2 fun a g hg => _
     have haf : a ∈ f.support :=
       by
@@ -1945,7 +1945,7 @@ variable [PartialOrder Γ] [AddCommMonoid R] {α β : Type _}
 def embDomain (s : SummableFamily Γ R α) (f : α ↪ β) : SummableFamily Γ R β
     where
   toFun b := if h : b ∈ Set.range f then s (Classical.choose h) else 0
-  isPwo_iUnion_support' :=
+  isPWO_iUnion_support' :=
     by
     refine' s.is_pwo_Union_support.mono (Set.iUnion_subset fun b g h => _)
     by_cases hb : b ∈ Set.range f
@@ -2011,7 +2011,7 @@ variable [LinearOrderedCancelAddCommMonoid Γ] [CommRing R] [IsDomain R]
 def powers (x : HahnSeries Γ R) (hx : 0 < addVal Γ R x) : SummableFamily Γ R ℕ
     where
   toFun n := x ^ n
-  isPwo_iUnion_support' := isPwo_iUnion_support_powers hx
+  isPWO_iUnion_support' := isPWO_iUnion_support_powers hx
   finite_co_support' g := by
     have hpwo := is_pwo_Union_support_powers hx
     by_cases hg : g ∈ ⋃ n : ℕ, {g | (x ^ n).coeff g ≠ 0}

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

@@ -1926,7 +1926,7 @@ theorem hsum_ofFinsupp {f : α →₀ HahnSeries Γ R} : (ofFinsupp f).hsum = f.
   ext g
   simp only [hsum_coeff, coe_of_finsupp, Finsupp.sum, Ne.def]
   simp_rw [← coeff.add_monoid_hom_apply, id.def]
-  rw [AddMonoidHom.map_sum, finsum_eq_sum_of_support_subset]
+  rw [map_sum, finsum_eq_sum_of_support_subset]
   intro x h
   simp only [coeff.add_monoid_hom_apply, mem_coe, Finsupp.mem_support_iff, Ne.def]
   contrapose! h

mathlib commit https://github.com/leanprover-community/mathlib/commit/b1abe23ae96fef89ad30d9f4362c307f72a55010

@@ -1005,7 +1005,7 @@ instance {Γ} [LinearOrderedCancelAddCommMonoid Γ] [NonUnitalNonAssocSemiring R
     · left; exact hx
     right
     contrapose! xy
-    rw [HahnSeries.ext_iff, Function.funext_iff, not_forall]
+    rw [HahnSeries.ext_iff, Function.funext_iff, Classical.not_forall]
     refine' ⟨x.order + y.order, _⟩
     rw [mul_coeff_order_add_order x y, zero_coeff, mul_eq_zero]
     simp [coeff_order_ne_zero, hx, xy]
@@ -1236,12 +1236,12 @@ theorem algebraMap_apply {r : R} : algebraMap R (HahnSeries Γ A) r = C (algebra
 
 instance [Nontrivial Γ] [Nontrivial R] : Nontrivial (Subalgebra R (HahnSeries Γ R)) :=
   ⟨⟨⊥, ⊤, by
-      rw [Ne.def, SetLike.ext_iff, not_forall]
+      rw [Ne.def, SetLike.ext_iff, Classical.not_forall]
       obtain ⟨a, ha⟩ := exists_ne (0 : Γ)
       refine' ⟨single a 1, _⟩
       simp only [Algebra.mem_bot, not_exists, Set.mem_range, iff_true_iff, Algebra.mem_top]
       intro x
-      rw [ext_iff, Function.funext_iff, not_forall]
+      rw [ext_iff, Function.funext_iff, Classical.not_forall]
       refine' ⟨a, _⟩
       rw [single_coeff_same, algebraMap_apply, C_apply, single_coeff_of_ne ha]
       exact zero_ne_one⟩⟩
@@ -1572,8 +1572,8 @@ theorem isPwo_iUnion_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring
   refine' Set.iUnion_subset fun n => _
   induction' n with n ih <;> intro g hn
   · simp only [exists_prop, and_true_iff, Set.mem_singleton_iff, Set.setOf_eq_eq_singleton,
-      mem_support, ite_eq_right_iff, Ne.def, not_false_iff, one_ne_zero, pow_zero, not_forall,
-      one_coeff] at hn 
+      mem_support, ite_eq_right_iff, Ne.def, not_false_iff, one_ne_zero, pow_zero,
+      Classical.not_forall, one_coeff] at hn 
     rw [hn, SetLike.mem_coe]
     exact AddSubmonoid.zero_mem _
   · obtain ⟨i, j, hi, hj, rfl⟩ := support_mul_subset_add_support hn

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

@@ -3,13 +3,13 @@ Copyright (c) 2021 Aaron Anderson. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Aaron Anderson
 -/
-import Mathbin.Order.WellFoundedSet
-import Mathbin.Algebra.BigOperators.Finprod
-import Mathbin.RingTheory.Valuation.Basic
-import Mathbin.RingTheory.PowerSeries.Basic
-import Mathbin.Data.Finsupp.Pwo
-import Mathbin.Data.Finset.MulAntidiagonal
-import Mathbin.Algebra.Order.Group.WithTop
+import Order.WellFoundedSet
+import Algebra.BigOperators.Finprod
+import RingTheory.Valuation.Basic
+import RingTheory.PowerSeries.Basic
+import Data.Finsupp.Pwo
+import Data.Finset.MulAntidiagonal
+import Algebra.Order.Group.WithTop
 
 #align_import ring_theory.hahn_series from "leanprover-community/mathlib"@"61db041ab8e4aaf8cb5c7dc10a7d4ff261997536"
 

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

@@ -611,7 +611,7 @@ instance : DistribMulAction R (HahnSeries Γ V)
   one_smul _ := by ext; simp
   smul_zero _ := by ext; simp
   smul_add _ _ _ := by ext; simp [smul_add]
-  mul_smul _ _ _ := by ext; simp [mul_smul]
+  hMul_smul _ _ _ := by ext; simp [mul_smul]
 
 variable {S : Type _} [Monoid S] [DistribMulAction S V]
 
@@ -946,7 +946,7 @@ instance [NonUnitalSemiring R] : NonUnitalSemiring (HahnSeries Γ R) :=
     zero := 0
     add := (· + ·)
     mul := (· * ·)
-    mul_assoc := mul_assoc' }
+    mul_assoc := hMul_assoc' }
 
 instance [NonAssocSemiring R] : NonAssocSemiring (HahnSeries Γ R) :=
   { AddMonoidWithOne.unary,
@@ -1825,7 +1825,7 @@ instance : Module (HahnSeries Γ R) (SummableFamily Γ R α)
   one_smul x := ext fun a => one_mul _
   add_smul x y s := ext fun a => add_mul _ _ _
   smul_add x s t := ext fun a => mul_add _ _ _
-  mul_smul x y s := ext fun a => mul_assoc _ _ _
+  hMul_smul x y s := ext fun a => mul_assoc _ _ _
 
 #print HahnSeries.SummableFamily.hsum_smul /-
 @[simp]

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

@@ -2,11 +2,6 @@
 Copyright (c) 2021 Aaron Anderson. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Aaron Anderson
-
-! This file was ported from Lean 3 source module ring_theory.hahn_series
-! leanprover-community/mathlib commit 61db041ab8e4aaf8cb5c7dc10a7d4ff261997536
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Order.WellFoundedSet
 import Mathbin.Algebra.BigOperators.Finprod
@@ -16,6 +11,8 @@ import Mathbin.Data.Finsupp.Pwo
 import Mathbin.Data.Finset.MulAntidiagonal
 import Mathbin.Algebra.Order.Group.WithTop
 
+#align_import ring_theory.hahn_series from "leanprover-community/mathlib"@"61db041ab8e4aaf8cb5c7dc10a7d4ff261997536"
+
 /-!
 # Hahn Series
 

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

@@ -81,14 +81,18 @@ section Zero
 
 variable [PartialOrder Γ] [Zero R]
 
+#print HahnSeries.coeff_injective /-
 theorem coeff_injective : Injective (coeff : HahnSeries Γ R → Γ → R) :=
   ext
 #align hahn_series.coeff_injective HahnSeries.coeff_injective
+-/
 
+#print HahnSeries.coeff_inj /-
 @[simp]
 theorem coeff_inj {x y : HahnSeries Γ R} : x.coeff = y.coeff ↔ x = y :=
   coeff_injective.eq_iff
 #align hahn_series.coeff_inj HahnSeries.coeff_inj
+-/
 
 #print HahnSeries.support /-
 /-- The support of a Hahn series is just the set of indices whose coefficients are nonzero.
@@ -98,20 +102,26 @@ def support (x : HahnSeries Γ R) : Set Γ :=
 #align hahn_series.support HahnSeries.support
 -/
 
+#print HahnSeries.isPwo_support /-
 @[simp]
 theorem isPwo_support (x : HahnSeries Γ R) : x.support.IsPwo :=
   x.isPwo_support'
 #align hahn_series.is_pwo_support HahnSeries.isPwo_support
+-/
 
+#print HahnSeries.isWf_support /-
 @[simp]
 theorem isWf_support (x : HahnSeries Γ R) : x.support.IsWf :=
   x.isPwo_support.IsWf
 #align hahn_series.is_wf_support HahnSeries.isWf_support
+-/
 
+#print HahnSeries.mem_support /-
 @[simp]
 theorem mem_support (x : HahnSeries Γ R) (a : Γ) : a ∈ x.support ↔ x.coeff a ≠ 0 :=
   Iff.refl _
 #align hahn_series.mem_support HahnSeries.mem_support
+-/
 
 instance : Zero (HahnSeries Γ R) :=
   ⟨{  coeff := 0
@@ -130,29 +140,39 @@ theorem zero_coeff {a : Γ} : (0 : HahnSeries Γ R).coeff a = 0 :=
 #align hahn_series.zero_coeff HahnSeries.zero_coeff
 -/
 
+#print HahnSeries.coeff_fun_eq_zero_iff /-
 @[simp]
 theorem coeff_fun_eq_zero_iff {x : HahnSeries Γ R} : x.coeff = 0 ↔ x = 0 :=
   coeff_injective.eq_iff' rfl
 #align hahn_series.coeff_fun_eq_zero_iff HahnSeries.coeff_fun_eq_zero_iff
+-/
 
+#print HahnSeries.ne_zero_of_coeff_ne_zero /-
 theorem ne_zero_of_coeff_ne_zero {x : HahnSeries Γ R} {g : Γ} (h : x.coeff g ≠ 0) : x ≠ 0 :=
   mt (fun x0 => (x0.symm ▸ zero_coeff : x.coeff g = 0)) h
 #align hahn_series.ne_zero_of_coeff_ne_zero HahnSeries.ne_zero_of_coeff_ne_zero
+-/
 
+#print HahnSeries.support_zero /-
 @[simp]
 theorem support_zero : support (0 : HahnSeries Γ R) = ∅ :=
   Function.support_zero
 #align hahn_series.support_zero HahnSeries.support_zero
+-/
 
+#print HahnSeries.support_nonempty_iff /-
 @[simp]
 theorem support_nonempty_iff {x : HahnSeries Γ R} : x.support.Nonempty ↔ x ≠ 0 := by
   rw [support, support_nonempty_iff, Ne.def, coeff_fun_eq_zero_iff]
 #align hahn_series.support_nonempty_iff HahnSeries.support_nonempty_iff
+-/
 
+#print HahnSeries.support_eq_empty_iff /-
 @[simp]
 theorem support_eq_empty_iff {x : HahnSeries Γ R} : x.support = ∅ ↔ x = 0 :=
   support_eq_empty_iff.trans coeff_fun_eq_zero_iff
 #align hahn_series.support_eq_empty_iff HahnSeries.support_eq_empty_iff
+-/
 
 #print HahnSeries.single /-
 /-- `single a r` is the Hahn series which has coefficient `r` at `a` and zero otherwise. -/
@@ -174,10 +194,12 @@ theorem single_coeff_same (a : Γ) (r : R) : (single a r).coeff a = r :=
 #align hahn_series.single_coeff_same HahnSeries.single_coeff_same
 -/
 
+#print HahnSeries.single_coeff_of_ne /-
 @[simp]
 theorem single_coeff_of_ne (h : b ≠ a) : (single a r).coeff b = 0 :=
   Pi.single_eq_of_ne h r
 #align hahn_series.single_coeff_of_ne HahnSeries.single_coeff_of_ne
+-/
 
 #print HahnSeries.single_coeff /-
 theorem single_coeff : (single a r).coeff b = if b = a then r else 0 := by
@@ -192,18 +214,24 @@ theorem support_single_of_ne (h : r ≠ 0) : support (single a r) = {a} :=
 #align hahn_series.support_single_of_ne HahnSeries.support_single_of_ne
 -/
 
+#print HahnSeries.support_single_subset /-
 theorem support_single_subset : support (single a r) ⊆ {a} :=
   Pi.support_single_subset
 #align hahn_series.support_single_subset HahnSeries.support_single_subset
+-/
 
+#print HahnSeries.eq_of_mem_support_single /-
 theorem eq_of_mem_support_single {b : Γ} (h : b ∈ support (single a r)) : b = a :=
   support_single_subset h
 #align hahn_series.eq_of_mem_support_single HahnSeries.eq_of_mem_support_single
+-/
 
+#print HahnSeries.single_eq_zero /-
 @[simp]
 theorem single_eq_zero : single a (0 : R) = 0 :=
   (single a).map_zero
 #align hahn_series.single_eq_zero HahnSeries.single_eq_zero
+-/
 
 #print HahnSeries.single_injective /-
 theorem single_injective (a : Γ) : Function.Injective (single a : R → HahnSeries Γ R) :=
@@ -217,6 +245,7 @@ theorem single_ne_zero (h : r ≠ 0) : single a r ≠ 0 := fun con =>
 #align hahn_series.single_ne_zero HahnSeries.single_ne_zero
 -/
 
+#print HahnSeries.single_eq_zero_iff /-
 @[simp]
 theorem single_eq_zero_iff {a : Γ} {r : R} : single a r = 0 ↔ r = 0 :=
   by
@@ -225,6 +254,7 @@ theorem single_eq_zero_iff {a : Γ} {r : R} : single a r = 0 ↔ r = 0 :=
     exact single_ne_zero
   · simp (config := { contextual := true })
 #align hahn_series.single_eq_zero_iff HahnSeries.single_eq_zero_iff
+-/
 
 instance [Nonempty Γ] [Nontrivial R] : Nontrivial (HahnSeries Γ R) :=
   ⟨by
@@ -245,27 +275,35 @@ def order (x : HahnSeries Γ R) : Γ :=
 #align hahn_series.order HahnSeries.order
 -/
 
+#print HahnSeries.order_zero /-
 @[simp]
 theorem order_zero : order (0 : HahnSeries Γ R) = 0 :=
   dif_pos rfl
 #align hahn_series.order_zero HahnSeries.order_zero
+-/
 
+#print HahnSeries.order_of_ne /-
 theorem order_of_ne {x : HahnSeries Γ R} (hx : x ≠ 0) :
     order x = x.isWf_support.min (support_nonempty_iff.2 hx) :=
   dif_neg hx
 #align hahn_series.order_of_ne HahnSeries.order_of_ne
+-/
 
+#print HahnSeries.coeff_order_ne_zero /-
 theorem coeff_order_ne_zero {x : HahnSeries Γ R} (hx : x ≠ 0) : x.coeff x.order ≠ 0 :=
   by
   rw [order_of_ne hx]
   exact x.is_wf_support.min_mem (support_nonempty_iff.2 hx)
 #align hahn_series.coeff_order_ne_zero HahnSeries.coeff_order_ne_zero
+-/
 
+#print HahnSeries.order_le_of_coeff_ne_zero /-
 theorem order_le_of_coeff_ne_zero {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x : HahnSeries Γ R}
     {g : Γ} (h : x.coeff g ≠ 0) : x.order ≤ g :=
   le_trans (le_of_eq (order_of_ne (ne_zero_of_coeff_ne_zero h)))
     (Set.IsWf.min_le _ _ ((mem_support _ _).2 h))
 #align hahn_series.order_le_of_coeff_ne_zero HahnSeries.order_le_of_coeff_ne_zero
+-/
 
 #print HahnSeries.order_single /-
 @[simp]
@@ -276,6 +314,7 @@ theorem order_single (h : r ≠ 0) : (single a r).order = a :=
 #align hahn_series.order_single HahnSeries.order_single
 -/
 
+#print HahnSeries.coeff_eq_zero_of_lt_order /-
 theorem coeff_eq_zero_of_lt_order {x : HahnSeries Γ R} {i : Γ} (hi : i < x.order) : x.coeff i = 0 :=
   by
   rcases eq_or_ne x 0 with (rfl | hx)
@@ -285,6 +324,7 @@ theorem coeff_eq_zero_of_lt_order {x : HahnSeries Γ R} {i : Γ} (hi : i < x.ord
   rw [order_of_ne hx]
   exact Set.IsWf.not_lt_min _ _ hi
 #align hahn_series.coeff_eq_zero_of_lt_order HahnSeries.coeff_eq_zero_of_lt_order
+-/
 
 end Order
 
@@ -304,6 +344,7 @@ def embDomain (f : Γ ↪o Γ') : HahnSeries Γ R → HahnSeries Γ' R := fun x
 #align hahn_series.emb_domain HahnSeries.embDomain
 -/
 
+#print HahnSeries.embDomain_coeff /-
 @[simp]
 theorem embDomain_coeff {f : Γ ↪o Γ'} {x : HahnSeries Γ R} {a : Γ} :
     (embDomain f x).coeff (f a) = x.coeff a :=
@@ -318,19 +359,25 @@ theorem embDomain_coeff {f : Γ ↪o Γ'} {x : HahnSeries Γ R} {a : Γ} :
     obtain ⟨b, hb1, hb2⟩ := (Set.mem_image _ _ _).1 ha
     rwa [f.injective hb2] at hb1 
 #align hahn_series.emb_domain_coeff HahnSeries.embDomain_coeff
+-/
 
+#print HahnSeries.embDomain_mk_coeff /-
 @[simp]
 theorem embDomain_mk_coeff {f : Γ → Γ'} (hfi : Function.Injective f)
     (hf : ∀ g g' : Γ, f g ≤ f g' ↔ g ≤ g') {x : HahnSeries Γ R} {a : Γ} :
     (embDomain ⟨⟨f, hfi⟩, hf⟩ x).coeff (f a) = x.coeff a :=
   embDomain_coeff
 #align hahn_series.emb_domain_mk_coeff HahnSeries.embDomain_mk_coeff
+-/
 
+#print HahnSeries.embDomain_notin_image_support /-
 theorem embDomain_notin_image_support {f : Γ ↪o Γ'} {x : HahnSeries Γ R} {b : Γ'}
     (hb : b ∉ f '' x.support) : (embDomain f x).coeff b = 0 :=
   dif_neg hb
 #align hahn_series.emb_domain_notin_image_support HahnSeries.embDomain_notin_image_support
+-/
 
+#print HahnSeries.support_embDomain_subset /-
 theorem support_embDomain_subset {f : Γ ↪o Γ'} {x : HahnSeries Γ R} :
     support (embDomain f x) ⊆ f '' x.support :=
   by
@@ -338,17 +385,23 @@ theorem support_embDomain_subset {f : Γ ↪o Γ'} {x : HahnSeries Γ R} :
   contrapose! hg
   rw [mem_support, emb_domain_notin_image_support hg, Classical.not_not]
 #align hahn_series.support_emb_domain_subset HahnSeries.support_embDomain_subset
+-/
 
+#print HahnSeries.embDomain_notin_range /-
 theorem embDomain_notin_range {f : Γ ↪o Γ'} {x : HahnSeries Γ R} {b : Γ'} (hb : b ∉ Set.range f) :
     (embDomain f x).coeff b = 0 :=
   embDomain_notin_image_support fun con => hb (Set.image_subset_range _ _ Con)
 #align hahn_series.emb_domain_notin_range HahnSeries.embDomain_notin_range
+-/
 
+#print HahnSeries.embDomain_zero /-
 @[simp]
 theorem embDomain_zero {f : Γ ↪o Γ'} : embDomain f (0 : HahnSeries Γ R) = 0 := by ext;
   simp [emb_domain_notin_image_support]
 #align hahn_series.emb_domain_zero HahnSeries.embDomain_zero
+-/
 
+#print HahnSeries.embDomain_single /-
 @[simp]
 theorem embDomain_single {f : Γ ↪o Γ'} {g : Γ} {r : R} :
     embDomain f (single g r) = single (f g) r :=
@@ -361,7 +414,9 @@ theorem embDomain_single {f : Γ ↪o Γ'} {g : Γ} {r : R} :
   · simp [hr]
   rwa [support_single_of_ne hr, Set.image_singleton, Set.mem_singleton_iff]
 #align hahn_series.emb_domain_single HahnSeries.embDomain_single
+-/
 
+#print HahnSeries.embDomain_injective /-
 theorem embDomain_injective {f : Γ ↪o Γ'} :
     Function.Injective (embDomain f : HahnSeries Γ R → HahnSeries Γ' R) := fun x y xy =>
   by
@@ -370,6 +425,7 @@ theorem embDomain_injective {f : Γ ↪o Γ'} :
   have xyg := xy (f g)
   rwa [emb_domain_coeff, emb_domain_coeff] at xyg 
 #align hahn_series.emb_domain_injective HahnSeries.embDomain_injective
+-/
 
 end Domain
 
@@ -395,15 +451,20 @@ instance : AddMonoid (HahnSeries Γ R) where
   zero_add x := by ext; apply zero_add
   add_zero x := by ext; apply add_zero
 
+#print HahnSeries.add_coeff' /-
 @[simp]
 theorem add_coeff' {x y : HahnSeries Γ R} : (x + y).coeff = x.coeff + y.coeff :=
   rfl
 #align hahn_series.add_coeff' HahnSeries.add_coeff'
+-/
 
+#print HahnSeries.add_coeff /-
 theorem add_coeff {x y : HahnSeries Γ R} {a : Γ} : (x + y).coeff a = x.coeff a + y.coeff a :=
   rfl
 #align hahn_series.add_coeff HahnSeries.add_coeff
+-/
 
+#print HahnSeries.support_add_subset /-
 theorem support_add_subset {x y : HahnSeries Γ R} : support (x + y) ⊆ support x ∪ support y :=
   fun a ha => by
   rw [mem_support, add_coeff] at ha 
@@ -411,7 +472,9 @@ theorem support_add_subset {x y : HahnSeries Γ R} : support (x + y) ⊆ support
   contrapose! ha
   rw [ha.1, ha.2, add_zero]
 #align hahn_series.support_add_subset HahnSeries.support_add_subset
+-/
 
+#print HahnSeries.min_order_le_order_add /-
 theorem min_order_le_order_add {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x y : HahnSeries Γ R}
     (hxy : x + y ≠ 0) : min x.order y.order ≤ (x + y).order :=
   by
@@ -423,13 +486,17 @@ theorem min_order_le_order_add {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x y :
   · exact Set.Nonempty.mono (Set.subset_union_left _ _) (support_nonempty_iff.2 hx)
   rw [Set.IsWf.min_union]
 #align hahn_series.min_order_le_order_add HahnSeries.min_order_le_order_add
+-/
 
+#print HahnSeries.single.addMonoidHom /-
 /-- `single` as an additive monoid/group homomorphism -/
 @[simps]
 def single.addMonoidHom (a : Γ) : R →+ HahnSeries Γ R :=
   { single a with map_add' := fun x y => by ext b; by_cases h : b = a <;> simp [h] }
 #align hahn_series.single.add_monoid_hom HahnSeries.single.addMonoidHom
+-/
 
+#print HahnSeries.coeff.addMonoidHom /-
 /-- `coeff g` as an additive monoid/group homomorphism -/
 @[simps]
 def coeff.addMonoidHom (g : Γ) : HahnSeries Γ R →+ R
@@ -438,11 +505,13 @@ def coeff.addMonoidHom (g : Γ) : HahnSeries Γ R →+ R
   map_zero' := zero_coeff
   map_add' x y := add_coeff
 #align hahn_series.coeff.add_monoid_hom HahnSeries.coeff.addMonoidHom
+-/
 
 section Domain
 
 variable {Γ' : Type _} [PartialOrder Γ']
 
+#print HahnSeries.embDomain_add /-
 theorem embDomain_add (f : Γ ↪o Γ') (x y : HahnSeries Γ R) :
     embDomain f (x + y) = embDomain f x + embDomain f y :=
   by
@@ -452,6 +521,7 @@ theorem embDomain_add (f : Γ ↪o Γ') (x y : HahnSeries Γ R) :
     simp
   · simp [emb_domain_notin_range, hg]
 #align hahn_series.emb_domain_add HahnSeries.embDomain_add
+-/
 
 end Domain
 
@@ -474,34 +544,46 @@ instance : AddGroup (HahnSeries Γ R) :=
           exact x.is_pwo_support }
     add_left_neg := fun x => by ext; apply add_left_neg }
 
+#print HahnSeries.neg_coeff' /-
 @[simp]
 theorem neg_coeff' {x : HahnSeries Γ R} : (-x).coeff = -x.coeff :=
   rfl
 #align hahn_series.neg_coeff' HahnSeries.neg_coeff'
+-/
 
+#print HahnSeries.neg_coeff /-
 theorem neg_coeff {x : HahnSeries Γ R} {a : Γ} : (-x).coeff a = -x.coeff a :=
   rfl
 #align hahn_series.neg_coeff HahnSeries.neg_coeff
+-/
 
+#print HahnSeries.support_neg /-
 @[simp]
 theorem support_neg {x : HahnSeries Γ R} : (-x).support = x.support := by ext; simp
 #align hahn_series.support_neg HahnSeries.support_neg
+-/
 
+#print HahnSeries.sub_coeff' /-
 @[simp]
 theorem sub_coeff' {x y : HahnSeries Γ R} : (x - y).coeff = x.coeff - y.coeff := by ext;
   simp [sub_eq_add_neg]
 #align hahn_series.sub_coeff' HahnSeries.sub_coeff'
+-/
 
+#print HahnSeries.sub_coeff /-
 theorem sub_coeff {x y : HahnSeries Γ R} {a : Γ} : (x - y).coeff a = x.coeff a - y.coeff a := by
   simp
 #align hahn_series.sub_coeff HahnSeries.sub_coeff
+-/
 
+#print HahnSeries.order_neg /-
 @[simp]
 theorem order_neg [Zero Γ] {f : HahnSeries Γ R} : (-f).order = f.order :=
   by
   by_cases hf : f = 0; · simp only [hf, neg_zero]
   simp only [order, support_neg, neg_eq_zero]
 #align hahn_series.order_neg HahnSeries.order_neg
+-/
 
 end AddGroup
 
@@ -519,10 +601,12 @@ instance : SMul R (HahnSeries Γ V) :=
     { coeff := r • x.coeff
       isPwo_support' := x.isPwo_support.mono (Function.support_smul_subset_right r x.coeff) }⟩
 
+#print HahnSeries.smul_coeff /-
 @[simp]
 theorem smul_coeff {r : R} {x : HahnSeries Γ V} {a : Γ} : (r • x).coeff a = r • x.coeff a :=
   rfl
 #align hahn_series.smul_coeff HahnSeries.smul_coeff
+-/
 
 instance : DistribMulAction R (HahnSeries Γ V)
     where
@@ -552,22 +636,27 @@ instance : Module R (HahnSeries Γ V) :=
     zero_smul := fun _ => by ext; simp
     add_smul := fun _ _ _ => by ext; simp [add_smul] }
 
+#print HahnSeries.single.linearMap /-
 /-- `single` as a linear map -/
 @[simps]
 def single.linearMap (a : Γ) : R →ₗ[R] HahnSeries Γ R :=
   { single.addMonoidHom a with map_smul' := fun r s => by ext b; by_cases h : b = a <;> simp [h] }
 #align hahn_series.single.linear_map HahnSeries.single.linearMap
+-/
 
+#print HahnSeries.coeff.linearMap /-
 /-- `coeff g` as a linear map -/
 @[simps]
 def coeff.linearMap (g : Γ) : HahnSeries Γ R →ₗ[R] R :=
   { coeff.addMonoidHom g with map_smul' := fun r s => rfl }
 #align hahn_series.coeff.linear_map HahnSeries.coeff.linearMap
+-/
 
 section Domain
 
 variable {Γ' : Type _} [PartialOrder Γ']
 
+#print HahnSeries.embDomain_smul /-
 theorem embDomain_smul (f : Γ ↪o Γ') (r : R) (x : HahnSeries Γ R) :
     embDomain f (r • x) = r • embDomain f x := by
   ext g
@@ -576,7 +665,9 @@ theorem embDomain_smul (f : Γ ↪o Γ') (r : R) (x : HahnSeries Γ R) :
     simp
   · simp [emb_domain_notin_range, hg]
 #align hahn_series.emb_domain_smul HahnSeries.embDomain_smul
+-/
 
+#print HahnSeries.embDomainLinearMap /-
 /-- Extending the domain of Hahn series is a linear map. -/
 @[simps]
 def embDomainLinearMap (f : Γ ↪o Γ') : HahnSeries Γ R →ₗ[R] HahnSeries Γ' R
@@ -585,6 +676,7 @@ def embDomainLinearMap (f : Γ ↪o Γ') : HahnSeries Γ R →ₗ[R] HahnSeries
   map_add' := embDomain_add f
   map_smul' := embDomain_smul f
 #align hahn_series.emb_domain_linear_map HahnSeries.embDomainLinearMap
+-/
 
 end Domain
 
@@ -597,22 +689,29 @@ variable [OrderedCancelAddCommMonoid Γ]
 instance [Zero R] [One R] : One (HahnSeries Γ R) :=
   ⟨single 0 1⟩
 
+#print HahnSeries.one_coeff /-
 @[simp]
 theorem one_coeff [Zero R] [One R] {a : Γ} :
     (1 : HahnSeries Γ R).coeff a = if a = 0 then 1 else 0 :=
   single_coeff
 #align hahn_series.one_coeff HahnSeries.one_coeff
+-/
 
+#print HahnSeries.single_zero_one /-
 @[simp]
 theorem single_zero_one [Zero R] [One R] : single 0 (1 : R) = 1 :=
   rfl
 #align hahn_series.single_zero_one HahnSeries.single_zero_one
+-/
 
+#print HahnSeries.support_one /-
 @[simp]
 theorem support_one [MulZeroOneClass R] [Nontrivial R] : support (1 : HahnSeries Γ R) = {0} :=
   support_single_of_ne one_ne_zero
 #align hahn_series.support_one HahnSeries.support_one
+-/
 
+#print HahnSeries.order_one /-
 @[simp]
 theorem order_one [MulZeroOneClass R] : order (1 : HahnSeries Γ R) = 0 :=
   by
@@ -620,6 +719,7 @@ theorem order_one [MulZeroOneClass R] : order (1 : HahnSeries Γ R) = 0 :=
   · rw [Subsingleton.elim (1 : HahnSeries Γ R) 0, order_zero]
   · exact order_single one_ne_zero
 #align hahn_series.order_one HahnSeries.order_one
+-/
 
 instance [NonUnitalNonAssocSemiring R] : Mul (HahnSeries Γ R)
     where mul x y :=
@@ -638,13 +738,16 @@ instance [NonUnitalNonAssocSemiring R] : Mul (HahnSeries Γ R)
           simp [not_nonempty_iff_eq_empty.1 ha]
         is_pwo_support_add_antidiagonal.mono h }
 
+#print HahnSeries.mul_coeff /-
 @[simp]
 theorem mul_coeff [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} :
     (x * y).coeff a =
       ∑ ij in addAntidiagonal x.isPwo_support y.isPwo_support a, x.coeff ij.fst * y.coeff ij.snd :=
   rfl
 #align hahn_series.mul_coeff HahnSeries.mul_coeff
+-/
 
+#print HahnSeries.mul_coeff_right' /-
 theorem mul_coeff_right' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} {s : Set Γ}
     (hs : s.IsPwo) (hys : y.support ⊆ s) :
     (x * y).coeff a =
@@ -656,7 +759,9 @@ theorem mul_coeff_right' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {
   simp only [not_and, mem_sdiff, mem_add_antidiagonal, mem_support, not_imp_not] at hb 
   rw [hb.2 hb.1.1 hb.1.2.2, MulZeroClass.mul_zero]
 #align hahn_series.mul_coeff_right' HahnSeries.mul_coeff_right'
+-/
 
+#print HahnSeries.mul_coeff_left' /-
 theorem mul_coeff_left' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} {s : Set Γ}
     (hs : s.IsPwo) (hxs : x.support ⊆ s) :
     (x * y).coeff a =
@@ -668,6 +773,7 @@ theorem mul_coeff_left' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a
   simp only [not_and', mem_sdiff, mem_add_antidiagonal, mem_support, not_ne_iff] at hb 
   rw [hb.2 ⟨hb.1.2.1, hb.1.2.2⟩, MulZeroClass.zero_mul]
 #align hahn_series.mul_coeff_left' HahnSeries.mul_coeff_left'
+-/
 
 instance [NonUnitalNonAssocSemiring R] : Distrib (HahnSeries Γ R) :=
   { HahnSeries.hasMul,
@@ -695,6 +801,7 @@ instance [NonUnitalNonAssocSemiring R] : Distrib (HahnSeries Γ R) :=
         intro h
         rw [h.1, h.2, add_zero] }
 
+#print HahnSeries.single_mul_coeff_add /-
 theorem single_mul_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeries Γ R} {a : Γ}
     {b : Γ} : (single b r * x).coeff (a + b) = r * x.coeff a :=
   by
@@ -724,7 +831,9 @@ theorem single_mul_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
       exact ⟨rfl, by simp [hx], add_comm _ _⟩
   · simp
 #align hahn_series.single_mul_coeff_add HahnSeries.single_mul_coeff_add
+-/
 
+#print HahnSeries.mul_single_coeff_add /-
 theorem mul_single_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeries Γ R} {a : Γ}
     {b : Γ} : (x * single b r).coeff (a + b) = x.coeff a * r :=
   by
@@ -752,21 +861,29 @@ theorem mul_single_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
       simp [hx]
   · simp
 #align hahn_series.mul_single_coeff_add HahnSeries.mul_single_coeff_add
+-/
 
+#print HahnSeries.mul_single_zero_coeff /-
 @[simp]
 theorem mul_single_zero_coeff [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeries Γ R} {a : Γ} :
     (x * single 0 r).coeff a = x.coeff a * r := by rw [← add_zero a, mul_single_coeff_add, add_zero]
 #align hahn_series.mul_single_zero_coeff HahnSeries.mul_single_zero_coeff
+-/
 
+#print HahnSeries.single_zero_mul_coeff /-
 theorem single_zero_mul_coeff [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeries Γ R} {a : Γ} :
     (single 0 r * x).coeff a = r * x.coeff a := by rw [← add_zero a, single_mul_coeff_add, add_zero]
 #align hahn_series.single_zero_mul_coeff HahnSeries.single_zero_mul_coeff
+-/
 
+#print HahnSeries.single_zero_mul_eq_smul /-
 @[simp]
 theorem single_zero_mul_eq_smul [Semiring R] {r : R} {x : HahnSeries Γ R} :
     single 0 r * x = r • x := by ext; exact single_zero_mul_coeff
 #align hahn_series.single_zero_mul_eq_smul HahnSeries.single_zero_mul_eq_smul
+-/
 
+#print HahnSeries.support_mul_subset_add_support /-
 theorem support_mul_subset_add_support [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} :
     support (x * y) ⊆ support x + support y :=
   by
@@ -777,7 +894,9 @@ theorem support_mul_subset_add_support [NonUnitalNonAssocSemiring R] {x y : Hahn
   simp only [not_nonempty_iff_eq_empty, Ne.def, Set.mem_setOf_eq] at hx 
   simp [hx]
 #align hahn_series.support_mul_subset_add_support HahnSeries.support_mul_subset_add_support
+-/
 
+#print HahnSeries.mul_coeff_order_add_order /-
 theorem mul_coeff_order_add_order {Γ} [LinearOrderedCancelAddCommMonoid Γ]
     [NonUnitalNonAssocSemiring R] (x y : HahnSeries Γ R) :
     (x * y).coeff (x.order + y.order) = x.coeff x.order * y.coeff y.order :=
@@ -787,6 +906,7 @@ theorem mul_coeff_order_add_order {Γ} [LinearOrderedCancelAddCommMonoid Γ]
   rw [order_of_ne hx, order_of_ne hy, mul_coeff, Finset.addAntidiagonal_min_add_min,
     Finset.sum_singleton]
 #align hahn_series.mul_coeff_order_add_order HahnSeries.mul_coeff_order_add_order
+-/
 
 private theorem mul_assoc' [NonUnitalSemiring R] (x y z : HahnSeries Γ R) :
     x * y * z = x * (y * z) := by
@@ -897,6 +1017,7 @@ instance {Γ} [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R] :
     IsDomain (HahnSeries Γ R) :=
   NoZeroDivisors.to_isDomain _
 
+#print HahnSeries.order_mul /-
 @[simp]
 theorem order_mul {Γ} [LinearOrderedCancelAddCommMonoid Γ] [NonUnitalNonAssocSemiring R]
     [NoZeroDivisors R] {x y : HahnSeries Γ R} (hx : x ≠ 0) (hy : y ≠ 0) :
@@ -908,7 +1029,9 @@ theorem order_mul {Γ} [LinearOrderedCancelAddCommMonoid Γ] [NonUnitalNonAssocS
   · rw [order_of_ne hx, order_of_ne hy, order_of_ne (mul_ne_zero hx hy), ← Set.IsWf.min_add]
     exact Set.IsWf.min_le_min_of_subset support_mul_subset_add_support
 #align hahn_series.order_mul HahnSeries.order_mul
+-/
 
+#print HahnSeries.order_pow /-
 @[simp]
 theorem order_pow {Γ} [LinearOrderedCancelAddCommMonoid Γ] [Semiring R] [NoZeroDivisors R]
     (x : HahnSeries Γ R) (n : ℕ) : (x ^ n).order = n • x.order :=
@@ -919,11 +1042,13 @@ theorem order_pow {Γ} [LinearOrderedCancelAddCommMonoid Γ] [Semiring R] [NoZer
   · simp
   rw [pow_succ', order_mul (pow_ne_zero _ hx) hx, succ_nsmul', IH]
 #align hahn_series.order_pow HahnSeries.order_pow
+-/
 
 section NonUnitalNonAssocSemiring
 
 variable [NonUnitalNonAssocSemiring R]
 
+#print HahnSeries.single_mul_single /-
 @[simp]
 theorem single_mul_single {a b : Γ} {r s : R} : single a r * single b s = single (a + b) (r * s) :=
   by
@@ -937,6 +1062,7 @@ theorem single_mul_single {a b : Γ} {r s : R} : single a r * single b s = singl
     rw [eq_of_mem_support_single hy, eq_of_mem_support_single hz] at h 
     exact (h rfl).elim
 #align hahn_series.single_mul_single HahnSeries.single_mul_single
+-/
 
 end NonUnitalNonAssocSemiring
 
@@ -944,6 +1070,7 @@ section NonAssocSemiring
 
 variable [NonAssocSemiring R]
 
+#print HahnSeries.C /-
 /-- `C a` is the constant Hahn Series `a`. `C` is provided as a ring homomorphism. -/
 @[simps]
 def C : R →+* HahnSeries Γ R where
@@ -953,17 +1080,23 @@ def C : R →+* HahnSeries Γ R where
   map_add' x y := by ext a; by_cases h : a = 0 <;> simp [h]
   map_mul' x y := by rw [single_mul_single, zero_add]
 #align hahn_series.C HahnSeries.C
+-/
 
+#print HahnSeries.C_zero /-
 @[simp]
 theorem C_zero : C (0 : R) = (0 : HahnSeries Γ R) :=
   C.map_zero
 #align hahn_series.C_zero HahnSeries.C_zero
+-/
 
+#print HahnSeries.C_one /-
 @[simp]
 theorem C_one : C (1 : R) = (1 : HahnSeries Γ R) :=
   C.map_one
 #align hahn_series.C_one HahnSeries.C_one
+-/
 
+#print HahnSeries.C_injective /-
 theorem C_injective : Function.Injective (C : R → HahnSeries Γ R) :=
   by
   intro r s rs
@@ -971,20 +1104,25 @@ theorem C_injective : Function.Injective (C : R → HahnSeries Γ R) :=
   have h := rs 0
   rwa [C_apply, single_coeff_same, C_apply, single_coeff_same] at h 
 #align hahn_series.C_injective HahnSeries.C_injective
+-/
 
+#print HahnSeries.C_ne_zero /-
 theorem C_ne_zero {r : R} (h : r ≠ 0) : (C r : HahnSeries Γ R) ≠ 0 :=
   by
   contrapose! h
   rw [← C_zero] at h 
   exact C_injective h
 #align hahn_series.C_ne_zero HahnSeries.C_ne_zero
+-/
 
+#print HahnSeries.order_C /-
 theorem order_C {r : R} : order (C r : HahnSeries Γ R) = 0 :=
   by
   by_cases h : r = 0
   · rw [h, C_zero, order_zero]
   · exact order_single h
 #align hahn_series.order_C HahnSeries.order_C
+-/
 
 end NonAssocSemiring
 
@@ -992,9 +1130,11 @@ section Semiring
 
 variable [Semiring R]
 
+#print HahnSeries.C_mul_eq_smul /-
 theorem C_mul_eq_smul {r : R} {x : HahnSeries Γ R} : C r * x = r • x :=
   single_zero_mul_eq_smul
 #align hahn_series.C_mul_eq_smul HahnSeries.C_mul_eq_smul
+-/
 
 end Semiring
 
@@ -1002,6 +1142,7 @@ section Domain
 
 variable {Γ' : Type _} [OrderedCancelAddCommMonoid Γ']
 
+#print HahnSeries.embDomain_mul /-
 theorem embDomain_mul [NonUnitalNonAssocSemiring R] (f : Γ ↪o Γ')
     (hf : ∀ x y, f (x + y) = f x + f y) (x y : HahnSeries Γ R) :
     embDomain f (x * y) = embDomain f x * embDomain f y :=
@@ -1038,12 +1179,16 @@ theorem embDomain_mul [NonUnitalNonAssocSemiring R] (f : Γ ↪o Γ')
     obtain ⟨j, hj, rfl⟩ := support_emb_domain_subset hj
     refine' ⟨i + j, hf i j⟩
 #align hahn_series.emb_domain_mul HahnSeries.embDomain_mul
+-/
 
+#print HahnSeries.embDomain_one /-
 theorem embDomain_one [NonAssocSemiring R] (f : Γ ↪o Γ') (hf : f 0 = 0) :
     embDomain f (1 : HahnSeries Γ R) = (1 : HahnSeries Γ' R) :=
   embDomain_single.trans <| hf.symm ▸ rfl
 #align hahn_series.emb_domain_one HahnSeries.embDomain_one
+-/
 
+#print HahnSeries.embDomainRingHom /-
 /-- Extending the domain of Hahn series is a ring homomorphism. -/
 @[simps]
 def embDomainRingHom [NonAssocSemiring R] (f : Γ →+ Γ') (hfi : Function.Injective f)
@@ -1055,11 +1200,14 @@ def embDomainRingHom [NonAssocSemiring R] (f : Γ →+ Γ') (hfi : Function.Inje
   map_zero' := embDomain_zero
   map_add' := embDomain_add _
 #align hahn_series.emb_domain_ring_hom HahnSeries.embDomainRingHom
+-/
 
+#print HahnSeries.embDomainRingHom_C /-
 theorem embDomainRingHom_C [NonAssocSemiring R] {f : Γ →+ Γ'} {hfi : Function.Injective f}
     {hf : ∀ g g' : Γ, f g ≤ f g' ↔ g ≤ g'} {r : R} : embDomainRingHom f hfi hf (C r) = C r :=
   embDomain_single.trans (by simp)
 #align hahn_series.emb_domain_ring_hom_C HahnSeries.embDomainRingHom_C
+-/
 
 end Domain
 
@@ -1077,13 +1225,17 @@ instance : Algebra R (HahnSeries Γ A)
       Function.comp_apply, algebraMap_smul, mul_single_zero_coeff]
     rw [← Algebra.commutes, Algebra.smul_def]
 
+#print HahnSeries.C_eq_algebraMap /-
 theorem C_eq_algebraMap : C = algebraMap R (HahnSeries Γ R) :=
   rfl
 #align hahn_series.C_eq_algebra_map HahnSeries.C_eq_algebraMap
+-/
 
+#print HahnSeries.algebraMap_apply /-
 theorem algebraMap_apply {r : R} : algebraMap R (HahnSeries Γ A) r = C (algebraMap R A r) :=
   rfl
 #align hahn_series.algebra_map_apply HahnSeries.algebraMap_apply
+-/
 
 instance [Nontrivial Γ] [Nontrivial R] : Nontrivial (Subalgebra R (HahnSeries Γ R)) :=
   ⟨⟨⊥, ⊤, by
@@ -1101,12 +1253,14 @@ section Domain
 
 variable {Γ' : Type _} [OrderedCancelAddCommMonoid Γ']
 
+#print HahnSeries.embDomainAlgHom /-
 /-- Extending the domain of Hahn series is an algebra homomorphism. -/
 @[simps]
 def embDomainAlgHom (f : Γ →+ Γ') (hfi : Function.Injective f)
     (hf : ∀ g g' : Γ, f g ≤ f g' ↔ g ≤ g') : HahnSeries Γ A →ₐ[R] HahnSeries Γ' A :=
   { embDomainRingHom f hfi hf with commutes' := fun r => embDomainRingHom_C }
 #align hahn_series.emb_domain_alg_hom HahnSeries.embDomainAlgHom
+-/
 
 end Domain
 
@@ -1118,6 +1272,7 @@ section Semiring
 
 variable [Semiring R]
 
+#print HahnSeries.toPowerSeries /-
 /-- The ring `hahn_series ℕ R` is isomorphic to `power_series R`. -/
 @[simps]
 def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R
@@ -1138,32 +1293,42 @@ def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R
     rintro h
     rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
 #align hahn_series.to_power_series HahnSeries.toPowerSeries
+-/
 
+#print HahnSeries.coeff_toPowerSeries /-
 theorem coeff_toPowerSeries {f : HahnSeries ℕ R} {n : ℕ} :
     PowerSeries.coeff R n f.toPowerSeries = f.coeff n :=
   PowerSeries.coeff_mk _ _
 #align hahn_series.coeff_to_power_series HahnSeries.coeff_toPowerSeries
+-/
 
+#print HahnSeries.coeff_toPowerSeries_symm /-
 theorem coeff_toPowerSeries_symm {f : PowerSeries R} {n : ℕ} :
     (HahnSeries.toPowerSeries.symm f).coeff n = PowerSeries.coeff R n f :=
   rfl
 #align hahn_series.coeff_to_power_series_symm HahnSeries.coeff_toPowerSeries_symm
+-/
 
 variable (Γ R) [StrictOrderedSemiring Γ]
 
+#print HahnSeries.ofPowerSeries /-
 /-- Casts a power series as a Hahn series with coefficients from an `strict_ordered_semiring`. -/
 def ofPowerSeries : PowerSeries R →+* HahnSeries Γ R :=
   (HahnSeries.embDomainRingHom (Nat.castAddMonoidHom Γ) Nat.strictMono_cast.Injective fun _ _ =>
         Nat.cast_le).comp
     (RingEquiv.toRingHom toPowerSeries.symm)
 #align hahn_series.of_power_series HahnSeries.ofPowerSeries
+-/
 
 variable {Γ} {R}
 
+#print HahnSeries.ofPowerSeries_injective /-
 theorem ofPowerSeries_injective : Function.Injective (ofPowerSeries Γ R) :=
   embDomain_injective.comp toPowerSeries.symm.Injective
 #align hahn_series.of_power_series_injective HahnSeries.ofPowerSeries_injective
+-/
 
+#print HahnSeries.ofPowerSeries_apply /-
 @[simp]
 theorem ofPowerSeries_apply (x : PowerSeries R) :
     ofPowerSeries Γ R x =
@@ -1175,11 +1340,15 @@ theorem ofPowerSeries_apply (x : PowerSeries R) :
         (toPowerSeries.symm x) :=
   rfl
 #align hahn_series.of_power_series_apply HahnSeries.ofPowerSeries_apply
+-/
 
+#print HahnSeries.ofPowerSeries_apply_coeff /-
 theorem ofPowerSeries_apply_coeff (x : PowerSeries R) (n : ℕ) :
     (ofPowerSeries Γ R x).coeff n = PowerSeries.coeff R n x := by simp
 #align hahn_series.of_power_series_apply_coeff HahnSeries.ofPowerSeries_apply_coeff
+-/
 
+#print HahnSeries.ofPowerSeries_C /-
 @[simp]
 theorem ofPowerSeries_C (r : R) : ofPowerSeries Γ R (PowerSeries.C R r) = HahnSeries.C r :=
   by
@@ -1194,7 +1363,9 @@ theorem ofPowerSeries_C (r : R) : ofPowerSeries Γ R (PowerSeries.C R r) = HahnS
     intro
     simp (config := { contextual := true }) [Ne.symm hn]
 #align hahn_series.of_power_series_C HahnSeries.ofPowerSeries_C
+-/
 
+#print HahnSeries.ofPowerSeries_X /-
 @[simp]
 theorem ofPowerSeries_X : ofPowerSeries Γ R PowerSeries.X = single 1 1 :=
   by
@@ -1209,7 +1380,9 @@ theorem ofPowerSeries_X : ofPowerSeries Γ R PowerSeries.X = single 1 1 :=
     intro
     simp (config := { contextual := true }) [Ne.symm hn]
 #align hahn_series.of_power_series_X HahnSeries.ofPowerSeries_X
+-/
 
+#print HahnSeries.ofPowerSeries_X_pow /-
 @[simp]
 theorem ofPowerSeries_X_pow {R} [CommSemiring R] (n : ℕ) :
     ofPowerSeries Γ R (PowerSeries.X ^ n) = single (n : Γ) 1 :=
@@ -1219,7 +1392,9 @@ theorem ofPowerSeries_X_pow {R} [CommSemiring R] (n : ℕ) :
   · simp; rfl
   rw [pow_succ, ih, of_power_series_X, mul_comm, single_mul_single, one_mul, Nat.cast_succ]
 #align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_X_pow
+-/
 
+#print HahnSeries.toMvPowerSeries /-
 -- Lemmas about converting hahn_series over fintype to and from mv_power_series
 /-- The ring `hahn_series (σ →₀ ℕ) R` is isomorphic to `mv_power_series σ R` for a `fintype` `σ`.
 We take the index set of the hahn series to be `finsupp` rather than `pi`,
@@ -1247,18 +1422,23 @@ def toMvPowerSeries {σ : Type _} [Fintype σ] : HahnSeries (σ →₀ ℕ) R 
     rintro h
     rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
 #align hahn_series.to_mv_power_series HahnSeries.toMvPowerSeries
+-/
 
 variable {σ : Type _} [Fintype σ]
 
+#print HahnSeries.coeff_toMvPowerSeries /-
 theorem coeff_toMvPowerSeries {f : HahnSeries (σ →₀ ℕ) R} {n : σ →₀ ℕ} :
     MvPowerSeries.coeff R n f.toMvPowerSeries = f.coeff n :=
   rfl
 #align hahn_series.coeff_to_mv_power_series HahnSeries.coeff_toMvPowerSeries
+-/
 
+#print HahnSeries.coeff_toMvPowerSeries_symm /-
 theorem coeff_toMvPowerSeries_symm {f : MvPowerSeries σ R} {n : σ →₀ ℕ} :
     (HahnSeries.toMvPowerSeries.symm f).coeff n = MvPowerSeries.coeff R n f :=
   rfl
 #align hahn_series.coeff_to_mv_power_series_symm HahnSeries.coeff_toMvPowerSeries_symm
+-/
 
 end Semiring
 
@@ -1266,6 +1446,7 @@ section Algebra
 
 variable (R) [CommSemiring R] {A : Type _} [Semiring A] [Algebra R A]
 
+#print HahnSeries.toPowerSeriesAlg /-
 /-- The `R`-algebra `hahn_series ℕ A` is isomorphic to `power_series A`. -/
 @[simps]
 def toPowerSeriesAlg : HahnSeries ℕ A ≃ₐ[R] PowerSeries A :=
@@ -1280,9 +1461,11 @@ def toPowerSeriesAlg : HahnSeries ℕ A ≃ₐ[R] PowerSeries A :=
       · simp only [n.succ_ne_zero, Ne.def, not_false_iff, single_coeff_of_ne]
         rw [PowerSeries.coeff_C, if_neg n.succ_ne_zero] }
 #align hahn_series.to_power_series_alg HahnSeries.toPowerSeriesAlg
+-/
 
 variable (Γ R) [StrictOrderedSemiring Γ]
 
+#print HahnSeries.ofPowerSeriesAlg /-
 /-- Casting a power series as a Hahn series with coefficients from an `strict_ordered_semiring`
   is an algebra homomorphism. -/
 @[simps]
@@ -1291,29 +1474,38 @@ def ofPowerSeriesAlg : PowerSeries A →ₐ[R] HahnSeries Γ A :=
         Nat.cast_le).comp
     (AlgEquiv.toAlgHom (toPowerSeriesAlg R).symm)
 #align hahn_series.of_power_series_alg HahnSeries.ofPowerSeriesAlg
+-/
 
+#print HahnSeries.powerSeriesAlgebra /-
 instance powerSeriesAlgebra {S : Type _} [CommSemiring S] [Algebra S (PowerSeries R)] :
     Algebra S (HahnSeries Γ R) :=
   RingHom.toAlgebra <| (ofPowerSeries Γ R).comp (algebraMap S (PowerSeries R))
 #align hahn_series.power_series_algebra HahnSeries.powerSeriesAlgebra
+-/
 
 variable {R} {S : Type _} [CommSemiring S] [Algebra S (PowerSeries R)]
 
+#print HahnSeries.algebraMap_apply' /-
 theorem algebraMap_apply' (x : S) :
     algebraMap S (HahnSeries Γ R) x = ofPowerSeries Γ R (algebraMap S (PowerSeries R) x) :=
   rfl
 #align hahn_series.algebra_map_apply' HahnSeries.algebraMap_apply'
+-/
 
+#print Polynomial.algebraMap_hahnSeries_apply /-
 @[simp]
 theorem Polynomial.algebraMap_hahnSeries_apply (f : R[X]) :
     algebraMap R[X] (HahnSeries Γ R) f = ofPowerSeries Γ R f :=
   rfl
 #align polynomial.algebra_map_hahn_series_apply Polynomial.algebraMap_hahnSeries_apply
+-/
 
+#print Polynomial.algebraMap_hahnSeries_injective /-
 theorem Polynomial.algebraMap_hahnSeries_injective :
     Function.Injective (algebraMap R[X] (HahnSeries Γ R)) :=
   ofPowerSeries_injective.comp (Polynomial.coe_injective R)
 #align polynomial.algebra_map_hahn_series_injective Polynomial.algebraMap_hahnSeries_injective
+-/
 
 end Algebra
 
@@ -1321,6 +1513,7 @@ section Valuation
 
 variable (Γ R) [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R]
 
+#print HahnSeries.addVal /-
 /-- The additive valuation on `hahn_series Γ R`, returning the smallest index at which
   a Hahn Series has a nonzero coefficient, or `⊤` for the 0 series.  -/
 def addVal : AddValuation (HahnSeries Γ R) (WithTop Γ) :=
@@ -1344,28 +1537,36 @@ def addVal : AddValuation (HahnSeries Γ R) (WithTop Γ) :=
     rw [if_neg hx, if_neg hy, if_neg (mul_ne_zero hx hy), ← WithTop.coe_add, WithTop.coe_eq_coe,
       order_mul hx hy]
 #align hahn_series.add_val HahnSeries.addVal
+-/
 
 variable {Γ} {R}
 
+#print HahnSeries.addVal_apply /-
 theorem addVal_apply {x : HahnSeries Γ R} :
     addVal Γ R x = if x = (0 : HahnSeries Γ R) then (⊤ : WithTop Γ) else x.order :=
   AddValuation.of_apply _
 #align hahn_series.add_val_apply HahnSeries.addVal_apply
+-/
 
+#print HahnSeries.addVal_apply_of_ne /-
 @[simp]
 theorem addVal_apply_of_ne {x : HahnSeries Γ R} (hx : x ≠ 0) : addVal Γ R x = x.order :=
   if_neg hx
 #align hahn_series.add_val_apply_of_ne HahnSeries.addVal_apply_of_ne
+-/
 
+#print HahnSeries.addVal_le_of_coeff_ne_zero /-
 theorem addVal_le_of_coeff_ne_zero {x : HahnSeries Γ R} {g : Γ} (h : x.coeff g ≠ 0) :
     addVal Γ R x ≤ g :=
   by
   rw [add_val_apply_of_ne (ne_zero_of_coeff_ne_zero h), WithTop.coe_le_coe]
   exact order_le_of_coeff_ne_zero h
 #align hahn_series.add_val_le_of_coeff_ne_zero HahnSeries.addVal_le_of_coeff_ne_zero
+-/
 
 end Valuation
 
+#print HahnSeries.isPwo_iUnion_support_powers /-
 theorem isPwo_iUnion_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R]
     {x : HahnSeries Γ R} (hx : 0 < addVal Γ R x) : (⋃ n : ℕ, (x ^ n).support).IsPwo :=
   by
@@ -1381,6 +1582,7 @@ theorem isPwo_iUnion_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring
   · obtain ⟨i, j, hi, hj, rfl⟩ := support_mul_subset_add_support hn
     exact SetLike.mem_coe.2 (AddSubmonoid.add_mem _ (AddSubmonoid.subset_closure hi) (ih hj))
 #align hahn_series.is_pwo_Union_support_powers HahnSeries.isPwo_iUnion_support_powers
+-/
 
 section
 
@@ -1408,26 +1610,34 @@ variable [PartialOrder Γ] [AddCommMonoid R] {α : Type _}
 instance : CoeFun (SummableFamily Γ R α) fun _ => α → HahnSeries Γ R :=
   ⟨toFun⟩
 
+#print HahnSeries.SummableFamily.isPwo_iUnion_support /-
 theorem isPwo_iUnion_support (s : SummableFamily Γ R α) : Set.IsPwo (⋃ a : α, (s a).support) :=
   s.isPwo_iUnion_support'
 #align hahn_series.summable_family.is_pwo_Union_support HahnSeries.SummableFamily.isPwo_iUnion_support
+-/
 
+#print HahnSeries.SummableFamily.finite_co_support /-
 theorem finite_co_support (s : SummableFamily Γ R α) (g : Γ) :
     (Function.support fun a => (s a).coeff g).Finite :=
   s.finite_co_support' g
 #align hahn_series.summable_family.finite_co_support HahnSeries.SummableFamily.finite_co_support
+-/
 
+#print HahnSeries.SummableFamily.coe_injective /-
 theorem coe_injective : @Function.Injective (SummableFamily Γ R α) (α → HahnSeries Γ R) coeFn
   | ⟨f1, hU1, hf1⟩, ⟨f2, hU2, hf2⟩, h =>
     by
     change f1 = f2 at h 
     subst h
 #align hahn_series.summable_family.coe_injective HahnSeries.SummableFamily.coe_injective
+-/
 
+#print HahnSeries.SummableFamily.ext /-
 @[ext]
 theorem ext {s t : SummableFamily Γ R α} (h : ∀ a : α, s a = t a) : s = t :=
   coe_injective <| funext h
 #align hahn_series.summable_family.ext HahnSeries.SummableFamily.ext
+-/
 
 instance : Add (SummableFamily Γ R α) :=
   ⟨fun x y =>
@@ -1452,23 +1662,31 @@ instance : Zero (SummableFamily Γ R α) :=
 instance : Inhabited (SummableFamily Γ R α) :=
   ⟨0⟩
 
+#print HahnSeries.SummableFamily.coe_add /-
 @[simp]
 theorem coe_add {s t : SummableFamily Γ R α} : ⇑(s + t) = s + t :=
   rfl
 #align hahn_series.summable_family.coe_add HahnSeries.SummableFamily.coe_add
+-/
 
+#print HahnSeries.SummableFamily.add_apply /-
 theorem add_apply {s t : SummableFamily Γ R α} {a : α} : (s + t) a = s a + t a :=
   rfl
 #align hahn_series.summable_family.add_apply HahnSeries.SummableFamily.add_apply
+-/
 
+#print HahnSeries.SummableFamily.coe_zero /-
 @[simp]
 theorem coe_zero : ((0 : SummableFamily Γ R α) : α → HahnSeries Γ R) = 0 :=
   rfl
 #align hahn_series.summable_family.coe_zero HahnSeries.SummableFamily.coe_zero
+-/
 
+#print HahnSeries.SummableFamily.zero_apply /-
 theorem zero_apply {a : α} : (0 : SummableFamily Γ R α) a = 0 :=
   rfl
 #align hahn_series.summable_family.zero_apply HahnSeries.SummableFamily.zero_apply
+-/
 
 instance : AddCommMonoid (SummableFamily Γ R α)
     where
@@ -1479,6 +1697,7 @@ instance : AddCommMonoid (SummableFamily Γ R α)
   add_comm s t := by ext; apply add_comm
   add_assoc r s t := by ext; apply add_assoc
 
+#print HahnSeries.SummableFamily.hsum /-
 /-- The infinite sum of a `summable_family` of Hahn series. -/
 def hsum (s : SummableFamily Γ R α) : HahnSeries Γ R
     where
@@ -1491,12 +1710,16 @@ def hsum (s : SummableFamily Γ R α) : HahnSeries Γ R
       intro h
       rw [finsum_congr h, finsum_zero]
 #align hahn_series.summable_family.hsum HahnSeries.SummableFamily.hsum
+-/
 
+#print HahnSeries.SummableFamily.hsum_coeff /-
 @[simp]
 theorem hsum_coeff {s : SummableFamily Γ R α} {g : Γ} : s.hsum.coeff g = ∑ᶠ i, (s i).coeff g :=
   rfl
 #align hahn_series.summable_family.hsum_coeff HahnSeries.SummableFamily.hsum_coeff
+-/
 
+#print HahnSeries.SummableFamily.support_hsum_subset /-
 theorem support_hsum_subset {s : SummableFamily Γ R α} : s.hsum.support ⊆ ⋃ a : α, (s a).support :=
   fun g hg =>
   by
@@ -1505,7 +1728,9 @@ theorem support_hsum_subset {s : SummableFamily Γ R α} : s.hsum.support ⊆ 
   rw [Set.mem_iUnion]
   exact ⟨a, h2⟩
 #align hahn_series.summable_family.support_hsum_subset HahnSeries.SummableFamily.support_hsum_subset
+-/
 
+#print HahnSeries.SummableFamily.hsum_add /-
 @[simp]
 theorem hsum_add {s t : SummableFamily Γ R α} : (s + t).hsum = s.hsum + t.hsum :=
   by
@@ -1513,6 +1738,7 @@ theorem hsum_add {s t : SummableFamily Γ R α} : (s + t).hsum = s.hsum + t.hsum
   simp only [hsum_coeff, add_coeff, add_apply]
   exact finsum_add_distrib (s.finite_co_support _) (t.finite_co_support _)
 #align hahn_series.summable_family.hsum_add HahnSeries.SummableFamily.hsum_add
+-/
 
 end AddCommMonoid
 
@@ -1532,23 +1758,31 @@ instance : AddCommGroup (SummableFamily Γ R α) :=
           exact s.finite_co_support g }
     add_left_neg := fun a => by ext; apply add_left_neg }
 
+#print HahnSeries.SummableFamily.coe_neg /-
 @[simp]
 theorem coe_neg : ⇑(-s) = -s :=
   rfl
 #align hahn_series.summable_family.coe_neg HahnSeries.SummableFamily.coe_neg
+-/
 
+#print HahnSeries.SummableFamily.neg_apply /-
 theorem neg_apply : (-s) a = -s a :=
   rfl
 #align hahn_series.summable_family.neg_apply HahnSeries.SummableFamily.neg_apply
+-/
 
+#print HahnSeries.SummableFamily.coe_sub /-
 @[simp]
 theorem coe_sub : ⇑(s - t) = s - t :=
   rfl
 #align hahn_series.summable_family.coe_sub HahnSeries.SummableFamily.coe_sub
+-/
 
+#print HahnSeries.SummableFamily.sub_apply /-
 theorem sub_apply : (s - t) a = s a - t a :=
   rfl
 #align hahn_series.summable_family.sub_apply HahnSeries.SummableFamily.sub_apply
+-/
 
 end AddCommGroup
 
@@ -1579,10 +1813,12 @@ instance : SMul (HahnSeries Γ R) (SummableFamily Γ R α)
             is_pwo_support, Prod.exists]
           exact ⟨i, j, mem_coe.2 (mem_add_antidiagonal.2 ⟨hi, Set.mem_iUnion.2 ⟨a, hj⟩, rfl⟩), hj⟩ }
 
+#print HahnSeries.SummableFamily.smul_apply /-
 @[simp]
 theorem smul_apply {x : HahnSeries Γ R} {s : SummableFamily Γ R α} {a : α} : (x • s) a = x * s a :=
   rfl
 #align hahn_series.summable_family.smul_apply HahnSeries.SummableFamily.smul_apply
+-/
 
 instance : Module (HahnSeries Γ R) (SummableFamily Γ R α)
     where
@@ -1594,6 +1830,7 @@ instance : Module (HahnSeries Γ R) (SummableFamily Γ R α)
   smul_add x s t := ext fun a => mul_add _ _ _
   mul_smul x y s := ext fun a => mul_assoc _ _ _
 
+#print HahnSeries.SummableFamily.hsum_smul /-
 @[simp]
 theorem hsum_smul {x : HahnSeries Γ R} {s : SummableFamily Γ R α} : (x • s).hsum = x * s.hsum :=
   by
@@ -1627,7 +1864,9 @@ theorem hsum_smul {x : HahnSeries Γ R} {s : SummableFamily Γ R α} : (x • s)
       rw [← hsum_coeff, Classical.not_not.1 fun con => ha ⟨hU.1, Con, hU.2.2⟩,
         MulZeroClass.mul_zero]
 #align hahn_series.summable_family.hsum_smul HahnSeries.SummableFamily.hsum_smul
+-/
 
+#print HahnSeries.SummableFamily.lsum /-
 /-- The summation of a `summable_family` as a `linear_map`. -/
 @[simps]
 def lsum : SummableFamily Γ R α →ₗ[HahnSeries Γ R] HahnSeries Γ R
@@ -1636,12 +1875,15 @@ def lsum : SummableFamily Γ R α →ₗ[HahnSeries Γ R] HahnSeries Γ R
   map_add' _ _ := hsum_add
   map_smul' _ _ := hsum_smul
 #align hahn_series.summable_family.lsum HahnSeries.SummableFamily.lsum
+-/
 
+#print HahnSeries.SummableFamily.hsum_sub /-
 @[simp]
 theorem hsum_sub {R : Type _} [Ring R] {s t : SummableFamily Γ R α} :
     (s - t).hsum = s.hsum - t.hsum := by
   rw [← lsum_apply, LinearMap.map_sub, lsum_apply, lsum_apply]
 #align hahn_series.summable_family.hsum_sub HahnSeries.SummableFamily.hsum_sub
+-/
 
 end Semiring
 
@@ -1649,6 +1891,7 @@ section OfFinsupp
 
 variable [PartialOrder Γ] [AddCommMonoid R] {α : Type _}
 
+#print HahnSeries.SummableFamily.ofFinsupp /-
 /-- A family with only finitely many nonzero elements is summable. -/
 def ofFinsupp (f : α →₀ HahnSeries Γ R) : SummableFamily Γ R α
     where
@@ -1670,12 +1913,16 @@ def ofFinsupp (f : α →₀ HahnSeries Γ R) : SummableFamily Γ R α
     contrapose! ha
     simp [ha]
 #align hahn_series.summable_family.of_finsupp HahnSeries.SummableFamily.ofFinsupp
+-/
 
+#print HahnSeries.SummableFamily.coe_ofFinsupp /-
 @[simp]
 theorem coe_ofFinsupp {f : α →₀ HahnSeries Γ R} : ⇑(SummableFamily.ofFinsupp f) = f :=
   rfl
 #align hahn_series.summable_family.coe_of_finsupp HahnSeries.SummableFamily.coe_ofFinsupp
+-/
 
+#print HahnSeries.SummableFamily.hsum_ofFinsupp /-
 @[simp]
 theorem hsum_ofFinsupp {f : α →₀ HahnSeries Γ R} : (ofFinsupp f).hsum = f.Sum fun a => id :=
   by
@@ -1688,6 +1935,7 @@ theorem hsum_ofFinsupp {f : α →₀ HahnSeries Γ R} : (ofFinsupp f).hsum = f.
   contrapose! h
   simp [h]
 #align hahn_series.summable_family.hsum_of_finsupp HahnSeries.SummableFamily.hsum_ofFinsupp
+-/
 
 end OfFinsupp
 
@@ -1722,23 +1970,30 @@ def embDomain (s : SummableFamily Γ R α) (f : α ↪ β) : SummableFamily Γ R
 
 variable (s : SummableFamily Γ R α) (f : α ↪ β) {a : α} {b : β}
 
+#print HahnSeries.SummableFamily.embDomain_apply /-
 theorem embDomain_apply :
     s.embDomain f b = if h : b ∈ Set.range f then s (Classical.choose h) else 0 :=
   rfl
 #align hahn_series.summable_family.emb_domain_apply HahnSeries.SummableFamily.embDomain_apply
+-/
 
+#print HahnSeries.SummableFamily.embDomain_image /-
 @[simp]
 theorem embDomain_image : s.embDomain f (f a) = s a :=
   by
   rw [emb_domain_apply, dif_pos (Set.mem_range_self a)]
   exact congr rfl (f.injective (Classical.choose_spec (Set.mem_range_self a)))
 #align hahn_series.summable_family.emb_domain_image HahnSeries.SummableFamily.embDomain_image
+-/
 
+#print HahnSeries.SummableFamily.embDomain_notin_range /-
 @[simp]
 theorem embDomain_notin_range (h : b ∉ Set.range f) : s.embDomain f b = 0 := by
   rw [emb_domain_apply, dif_neg h]
 #align hahn_series.summable_family.emb_domain_notin_range HahnSeries.SummableFamily.embDomain_notin_range
+-/
 
+#print HahnSeries.SummableFamily.hsum_embDomain /-
 @[simp]
 theorem hsum_embDomain : (s.embDomain f).hsum = s.hsum :=
   by
@@ -1746,6 +2001,7 @@ theorem hsum_embDomain : (s.embDomain f).hsum = s.hsum :=
   simp only [hsum_coeff, emb_domain_apply, apply_dite HahnSeries.coeff, dite_apply, zero_coeff]
   exact finsum_emb_domain f fun a => (s a).coeff g
 #align hahn_series.summable_family.hsum_emb_domain HahnSeries.SummableFamily.hsum_embDomain
+-/
 
 end EmbDomain
 
@@ -1753,6 +2009,7 @@ section powers
 
 variable [LinearOrderedCancelAddCommMonoid Γ] [CommRing R] [IsDomain R]
 
+#print HahnSeries.SummableFamily.powers /-
 /-- The powers of an element of positive valuation form a summable family. -/
 def powers (x : HahnSeries Γ R) (hx : 0 < addVal Γ R x) : SummableFamily Γ R ℕ
     where
@@ -1784,14 +2041,18 @@ def powers (x : HahnSeries Γ R) (hx : 0 < addVal Γ R x) : SummableFamily Γ R
           Ne.def, mem_support, Set.mem_setOf_eq]
         exact ⟨hi, n, hj⟩
 #align hahn_series.summable_family.powers HahnSeries.SummableFamily.powers
+-/
 
 variable {x : HahnSeries Γ R} (hx : 0 < addVal Γ R x)
 
+#print HahnSeries.SummableFamily.coe_powers /-
 @[simp]
 theorem coe_powers : ⇑(powers x hx) = pow x :=
   rfl
 #align hahn_series.summable_family.coe_powers HahnSeries.SummableFamily.coe_powers
+-/
 
+#print HahnSeries.SummableFamily.embDomain_succ_smul_powers /-
 theorem embDomain_succ_smul_powers :
     (x • powers x hx).embDomain ⟨Nat.succ, Nat.succ_injective⟩ =
       powers x hx - ofFinsupp (Finsupp.single 0 1) :=
@@ -1806,13 +2067,16 @@ theorem embDomain_succ_smul_powers :
     simp only [pow_succ, coe_powers, coe_sub, smul_apply, coe_of_finsupp, Pi.sub_apply]
     rw [Finsupp.single_eq_of_ne n.succ_ne_zero.symm, sub_zero]
 #align hahn_series.summable_family.emb_domain_succ_smul_powers HahnSeries.SummableFamily.embDomain_succ_smul_powers
+-/
 
+#print HahnSeries.SummableFamily.one_sub_self_mul_hsum_powers /-
 theorem one_sub_self_mul_hsum_powers : (1 - x) * (powers x hx).hsum = 1 :=
   by
   rw [← hsum_smul, sub_smul, one_smul, hsum_sub, ←
     hsum_emb_domain (x • powers x hx) ⟨Nat.succ, Nat.succ_injective⟩, emb_domain_succ_smul_powers]
   simp
 #align hahn_series.summable_family.one_sub_self_mul_hsum_powers HahnSeries.SummableFamily.one_sub_self_mul_hsum_powers
+-/
 
 end powers
 
@@ -1826,6 +2090,7 @@ section IsDomain
 
 variable [CommRing R] [IsDomain R]
 
+#print HahnSeries.unit_aux /-
 theorem unit_aux (x : HahnSeries Γ R) {r : R} (hr : r * x.coeff x.order = 1) :
     0 < addVal Γ R (1 - C r * single (-x.order) 1 * x) :=
   by
@@ -1847,7 +2112,9 @@ theorem unit_aux (x : HahnSeries Γ R) {r : R} (hr : r * x.coeff x.order = 1) :
     rw [← Con, mul_assoc, sub_coeff, one_coeff, if_pos rfl, C_mul_eq_smul, smul_coeff, smul_eq_mul,
       ← add_neg_self x.order, single_mul_coeff_add, one_mul, hr, sub_self]
 #align hahn_series.unit_aux HahnSeries.unit_aux
+-/
 
+#print HahnSeries.isUnit_iff /-
 theorem isUnit_iff {x : HahnSeries Γ R} : IsUnit x ↔ IsUnit (x.coeff x.order) :=
   by
   constructor
@@ -1864,6 +2131,7 @@ theorem isUnit_iff {x : HahnSeries Γ R} : IsUnit x ↔ IsUnit (x.coeff x.order)
     rw [sub_sub_cancel] at h 
     exact isUnit_of_mul_isUnit_right (isUnit_of_mul_eq_one _ _ h)
 #align hahn_series.is_unit_iff HahnSeries.isUnit_iff
+-/
 
 end IsDomain
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/a3e83f0fa4391c8740f7d773a7a9b74e311ae2a3

@@ -628,8 +628,8 @@ instance [NonUnitalNonAssocSemiring R] : Mul (HahnSeries Γ R)
       isPwo_support' :=
         haveI h :
           {a : Γ |
-              (∑ ij : Γ × Γ in add_antidiagonal x.is_pwo_support y.is_pwo_support a,
-                  x.coeff ij.fst * y.coeff ij.snd) ≠
+              ∑ ij : Γ × Γ in add_antidiagonal x.is_pwo_support y.is_pwo_support a,
+                  x.coeff ij.fst * y.coeff ij.snd ≠
                 0} ⊆
             {a : Γ | (add_antidiagonal x.is_pwo_support y.is_pwo_support a).Nonempty} :=
           by

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

@@ -627,11 +627,11 @@ instance [NonUnitalNonAssocSemiring R] : Mul (HahnSeries Γ R)
         ∑ ij in addAntidiagonal x.isPwo_support y.isPwo_support a, x.coeff ij.fst * y.coeff ij.snd
       isPwo_support' :=
         haveI h :
-          { a : Γ |
+          {a : Γ |
               (∑ ij : Γ × Γ in add_antidiagonal x.is_pwo_support y.is_pwo_support a,
                   x.coeff ij.fst * y.coeff ij.snd) ≠
-                0 } ⊆
-            { a : Γ | (add_antidiagonal x.is_pwo_support y.is_pwo_support a).Nonempty } :=
+                0} ⊆
+            {a : Γ | (add_antidiagonal x.is_pwo_support y.is_pwo_support a).Nonempty} :=
           by
           intro a ha
           contrapose! ha
@@ -1131,12 +1131,12 @@ def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R
     ext n
     simp only [PowerSeries.coeff_mul, PowerSeries.coeff_mk, mul_coeff, is_pwo_support]
     classical
-      refine' sum_filter_ne_zero.symm.trans ((sum_congr _ fun _ _ => rfl).trans sum_filter_ne_zero)
-      ext m
-      simp only [nat.mem_antidiagonal, mem_add_antidiagonal, and_congr_left_iff, mem_filter,
-        mem_support]
-      rintro h
-      rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
+    refine' sum_filter_ne_zero.symm.trans ((sum_congr _ fun _ _ => rfl).trans sum_filter_ne_zero)
+    ext m
+    simp only [nat.mem_antidiagonal, mem_add_antidiagonal, and_congr_left_iff, mem_filter,
+      mem_support]
+    rintro h
+    rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
 #align hahn_series.to_power_series HahnSeries.toPowerSeries
 
 theorem coeff_toPowerSeries {f : HahnSeries ℕ R} {n : ℕ} :
@@ -1187,7 +1187,7 @@ theorem ofPowerSeries_C (r : R) : ofPowerSeries Γ R (PowerSeries.C R r) = HahnS
   simp only [C, single_coeff, of_power_series_apply, RingHom.coe_mk]
   split_ifs with hn hn
   · subst hn
-    convert@emb_domain_coeff _ _ _ _ _ _ _ _ 0 <;> simp
+    convert @emb_domain_coeff _ _ _ _ _ _ _ _ 0 <;> simp
   · rw [emb_domain_notin_image_support]
     simp only [not_exists, Set.mem_image, to_power_series_symm_apply_coeff, mem_support,
       PowerSeries.coeff_C]
@@ -1202,7 +1202,7 @@ theorem ofPowerSeries_X : ofPowerSeries Γ R PowerSeries.X = single 1 1 :=
   simp only [single_coeff, of_power_series_apply, RingHom.coe_mk]
   split_ifs with hn hn
   · rw [hn]
-    convert@emb_domain_coeff _ _ _ _ _ _ _ _ 1 <;> simp
+    convert @emb_domain_coeff _ _ _ _ _ _ _ _ 1 <;> simp
   · rw [emb_domain_notin_image_support]
     simp only [not_exists, Set.mem_image, to_power_series_symm_apply_coeff, mem_support,
       PowerSeries.coeff_X]
@@ -1238,14 +1238,14 @@ def toMvPowerSeries {σ : Type _} [Fintype σ] : HahnSeries (σ →₀ ℕ) R 
     ext n
     simp only [MvPowerSeries.coeff_mul]
     classical
-      change (f * g).coeff n = _
-      simp_rw [mul_coeff]
-      refine' sum_filter_ne_zero.symm.trans ((sum_congr _ fun _ _ => rfl).trans sum_filter_ne_zero)
-      ext m
-      simp only [and_congr_left_iff, mem_add_antidiagonal, mem_filter, mem_support,
-        Finsupp.mem_antidiagonal]
-      rintro h
-      rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
+    change (f * g).coeff n = _
+    simp_rw [mul_coeff]
+    refine' sum_filter_ne_zero.symm.trans ((sum_congr _ fun _ _ => rfl).trans sum_filter_ne_zero)
+    ext m
+    simp only [and_congr_left_iff, mem_add_antidiagonal, mem_filter, mem_support,
+      Finsupp.mem_antidiagonal]
+    rintro h
+    rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
 #align hahn_series.to_mv_power_series HahnSeries.toMvPowerSeries
 
 variable {σ : Type _} [Fintype σ]
@@ -1393,7 +1393,7 @@ variable (Γ) (R) [PartialOrder Γ] [AddCommMonoid R]
 structure SummableFamily (α : Type _) where
   toFun : α → HahnSeries Γ R
   isPwo_iUnion_support' : Set.IsPwo (⋃ a : α, (to_fun a).support)
-  finite_co_support' : ∀ g : Γ, { a | (to_fun a).coeff g ≠ 0 }.Finite
+  finite_co_support' : ∀ g : Γ, {a | (to_fun a).coeff g ≠ 0}.Finite
 #align hahn_series.summable_family HahnSeries.SummableFamily
 -/
 
@@ -1760,7 +1760,7 @@ def powers (x : HahnSeries Γ R) (hx : 0 < addVal Γ R x) : SummableFamily Γ R
   isPwo_iUnion_support' := isPwo_iUnion_support_powers hx
   finite_co_support' g := by
     have hpwo := is_pwo_Union_support_powers hx
-    by_cases hg : g ∈ ⋃ n : ℕ, { g | (x ^ n).coeff g ≠ 0 }
+    by_cases hg : g ∈ ⋃ n : ℕ, {g | (x ^ n).coeff g ≠ 0}
     swap; · exact set.finite_empty.subset fun n hn => hg (Set.mem_iUnion.2 ⟨n, hn⟩)
     apply hpwo.is_wf.induction hg
     intro y ys hy

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

@@ -281,7 +281,7 @@ theorem coeff_eq_zero_of_lt_order {x : HahnSeries Γ R} {i : Γ} (hi : i < x.ord
   rcases eq_or_ne x 0 with (rfl | hx)
   · simp
   contrapose! hi
-  rw [← Ne.def, ← mem_support] at hi
+  rw [← Ne.def, ← mem_support] at hi 
   rw [order_of_ne hx]
   exact Set.IsWf.not_lt_min _ _ hi
 #align hahn_series.coeff_eq_zero_of_lt_order HahnSeries.coeff_eq_zero_of_lt_order
@@ -316,7 +316,7 @@ theorem embDomain_coeff {f : Γ ↪o Γ'} {x : HahnSeries Γ R} {a : Γ} :
   · rw [dif_neg, Classical.not_not.1 fun c => ha ((mem_support _ _).2 c)]
     contrapose! ha
     obtain ⟨b, hb1, hb2⟩ := (Set.mem_image _ _ _).1 ha
-    rwa [f.injective hb2] at hb1
+    rwa [f.injective hb2] at hb1 
 #align hahn_series.emb_domain_coeff HahnSeries.embDomain_coeff
 
 @[simp]
@@ -366,9 +366,9 @@ theorem embDomain_injective {f : Γ ↪o Γ'} :
     Function.Injective (embDomain f : HahnSeries Γ R → HahnSeries Γ' R) := fun x y xy =>
   by
   ext g
-  rw [ext_iff, Function.funext_iff] at xy
+  rw [ext_iff, Function.funext_iff] at xy 
   have xyg := xy (f g)
-  rwa [emb_domain_coeff, emb_domain_coeff] at xyg
+  rwa [emb_domain_coeff, emb_domain_coeff] at xyg 
 #align hahn_series.emb_domain_injective HahnSeries.embDomain_injective
 
 end Domain
@@ -406,7 +406,7 @@ theorem add_coeff {x y : HahnSeries Γ R} {a : Γ} : (x + y).coeff a = x.coeff a
 
 theorem support_add_subset {x y : HahnSeries Γ R} : support (x + y) ⊆ support x ∪ support y :=
   fun a ha => by
-  rw [mem_support, add_coeff] at ha
+  rw [mem_support, add_coeff] at ha 
   rw [Set.mem_union, mem_support, mem_support]
   contrapose! ha
   rw [ha.1, ha.2, add_zero]
@@ -653,7 +653,7 @@ theorem mul_coeff_right' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {
   rw [mul_coeff]
   apply sum_subset_zero_on_sdiff (add_antidiagonal_mono_right hys) _ fun _ _ => rfl
   intro b hb
-  simp only [not_and, mem_sdiff, mem_add_antidiagonal, mem_support, not_imp_not] at hb
+  simp only [not_and, mem_sdiff, mem_add_antidiagonal, mem_support, not_imp_not] at hb 
   rw [hb.2 hb.1.1 hb.1.2.2, MulZeroClass.mul_zero]
 #align hahn_series.mul_coeff_right' HahnSeries.mul_coeff_right'
 
@@ -665,7 +665,7 @@ theorem mul_coeff_left' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a
   rw [mul_coeff]
   apply sum_subset_zero_on_sdiff (add_antidiagonal_mono_left hxs) _ fun _ _ => rfl
   intro b hb
-  simp only [not_and', mem_sdiff, mem_add_antidiagonal, mem_support, not_ne_iff] at hb
+  simp only [not_and', mem_sdiff, mem_add_antidiagonal, mem_support, not_ne_iff] at hb 
   rw [hb.2 ⟨hb.1.2.1, hb.1.2.2⟩, MulZeroClass.zero_mul]
 #align hahn_series.mul_coeff_left' HahnSeries.mul_coeff_left'
 
@@ -708,8 +708,8 @@ theorem single_mul_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
     simp only [not_mem_empty, not_and, Set.mem_singleton_iff, Classical.not_not,
       mem_add_antidiagonal, Set.mem_setOf_eq, iff_false_iff]
     rintro rfl h2 h1
-    rw [add_comm] at h1
-    rw [← add_right_cancel h1] at hx
+    rw [add_comm] at h1 
+    rw [← add_right_cancel h1] at hx 
     exact h2 hx
   trans ∑ ij : Γ × Γ in {(b, a)}, (single b r).coeff ij.fst * x.coeff ij.snd
   · apply sum_congr _ fun _ _ => rfl
@@ -718,7 +718,7 @@ theorem single_mul_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
       Set.mem_setOf_eq]
     constructor
     · rintro ⟨rfl, h2, h1⟩
-      rw [add_comm] at h1
+      rw [add_comm] at h1 
       refine' ⟨rfl, add_right_cancel h1⟩
     · rintro ⟨rfl, rfl⟩
       exact ⟨rfl, by simp [hx], add_comm _ _⟩
@@ -738,7 +738,7 @@ theorem mul_single_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
     simp only [not_mem_empty, not_and, Set.mem_singleton_iff, Classical.not_not,
       mem_add_antidiagonal, Set.mem_setOf_eq, iff_false_iff]
     rintro h2 rfl h1
-    rw [← add_right_cancel h1] at hx
+    rw [← add_right_cancel h1] at hx 
     exact h2 hx
   trans ∑ ij : Γ × Γ in {(a, b)}, x.coeff ij.fst * (single b r).coeff ij.snd
   · apply sum_congr _ fun _ _ => rfl
@@ -774,7 +774,7 @@ theorem support_mul_subset_add_support [NonUnitalNonAssocSemiring R] {x y : Hahn
   · exact x.is_pwo_support
   · exact y.is_pwo_support
   contrapose! hx
-  simp only [not_nonempty_iff_eq_empty, Ne.def, Set.mem_setOf_eq] at hx
+  simp only [not_nonempty_iff_eq_empty, Ne.def, Set.mem_setOf_eq] at hx 
   simp [hx]
 #align hahn_series.support_mul_subset_add_support HahnSeries.support_mul_subset_add_support
 
@@ -797,17 +797,17 @@ private theorem mul_assoc' [NonUnitalSemiring R] (x y z : HahnSeries Γ R) :
   refine' sum_bij_ne_zero (fun a has ha0 => ⟨⟨a.2.1, a.2.2 + a.1.2⟩, ⟨a.2.2, a.1.2⟩⟩) _ _ _ _
   · rintro ⟨⟨i, j⟩, ⟨k, l⟩⟩ H1 H2
     simp only [and_true_iff, Set.image2_add, eq_self_iff_true, mem_add_antidiagonal, Ne.def,
-      Set.image_prod, mem_sigma, Set.mem_setOf_eq] at H1 H2⊢
+      Set.image_prod, mem_sigma, Set.mem_setOf_eq] at H1 H2 ⊢
     obtain ⟨⟨H3, nz, rfl⟩, nx, ny, rfl⟩ := H1
     exact ⟨⟨nx, Set.add_mem_add ny nz, (add_assoc _ _ _).symm⟩, ny, nz⟩
   · rintro ⟨⟨i1, j1⟩, k1, l1⟩ ⟨⟨i2, j2⟩, k2, l2⟩ H1 H2 H3 H4 H5
     simp only [Set.image2_add, Prod.mk.inj_iff, mem_add_antidiagonal, Ne.def, Set.image_prod,
-      mem_sigma, Set.mem_setOf_eq, heq_iff_eq] at H1 H3 H5
+      mem_sigma, Set.mem_setOf_eq, heq_iff_eq] at H1 H3 H5 
     obtain ⟨⟨rfl, H⟩, rfl, rfl⟩ := H5
     simp only [and_true_iff, Prod.mk.inj_iff, eq_self_iff_true, heq_iff_eq, ← H1.2.2.2, ← H3.2.2.2]
   · rintro ⟨⟨i, j⟩, ⟨k, l⟩⟩ H1 H2
     simp only [exists_prop, Set.image2_add, Prod.mk.inj_iff, mem_add_antidiagonal, Sigma.exists,
-      Ne.def, Set.image_prod, mem_sigma, Set.mem_setOf_eq, heq_iff_eq, Prod.exists] at H1 H2⊢
+      Ne.def, Set.image_prod, mem_sigma, Set.mem_setOf_eq, heq_iff_eq, Prod.exists] at H1 H2 ⊢
     obtain ⟨⟨nx, H, rfl⟩, ny, nz, rfl⟩ := H1
     exact
       ⟨i + k, l, i, k, ⟨⟨Set.add_mem_add nx ny, nz, add_assoc _ _ _⟩, nx, ny, rfl⟩, fun con =>
@@ -934,7 +934,7 @@ theorem single_mul_single {a b : Γ} {r s : R} : single a r * single b s = singl
   · rw [single_coeff_of_ne h, mul_coeff, sum_eq_zero]
     simp_rw [mem_add_antidiagonal]
     rintro ⟨y, z⟩ ⟨hy, hz, rfl⟩
-    rw [eq_of_mem_support_single hy, eq_of_mem_support_single hz] at h
+    rw [eq_of_mem_support_single hy, eq_of_mem_support_single hz] at h 
     exact (h rfl).elim
 #align hahn_series.single_mul_single HahnSeries.single_mul_single
 
@@ -967,15 +967,15 @@ theorem C_one : C (1 : R) = (1 : HahnSeries Γ R) :=
 theorem C_injective : Function.Injective (C : R → HahnSeries Γ R) :=
   by
   intro r s rs
-  rw [ext_iff, Function.funext_iff] at rs
+  rw [ext_iff, Function.funext_iff] at rs 
   have h := rs 0
-  rwa [C_apply, single_coeff_same, C_apply, single_coeff_same] at h
+  rwa [C_apply, single_coeff_same, C_apply, single_coeff_same] at h 
 #align hahn_series.C_injective HahnSeries.C_injective
 
 theorem C_ne_zero {r : R} (h : r ≠ 0) : (C r : HahnSeries Γ R) ≠ 0 :=
   by
   contrapose! h
-  rw [← C_zero] at h
+  rw [← C_zero] at h 
   exact C_injective h
 #align hahn_series.C_ne_zero HahnSeries.C_ne_zero
 
@@ -1019,7 +1019,7 @@ theorem embDomain_mul [NonUnitalNonAssocSemiring R] (f : Γ ↪o Γ')
     apply sum_subset
     · rintro ⟨i, j⟩ hij
       simp only [exists_prop, mem_map, Prod.mk.inj_iff, mem_add_antidiagonal,
-        Function.Embedding.coe_prodMap, mem_support, Prod.exists] at hij
+        Function.Embedding.coe_prodMap, mem_support, Prod.exists] at hij 
       obtain ⟨i, j, ⟨hx, hy, rfl⟩, rfl, rfl⟩ := hij
       simp [hx, hy, hf]
     · rintro ⟨_, _⟩ h1 h2
@@ -1029,7 +1029,7 @@ theorem embDomain_mul [NonUnitalNonAssocSemiring R] (f : Γ ↪o Γ')
       simp only [exists_prop, mem_map, Prod.mk.inj_iff, mem_add_antidiagonal,
         Function.Embedding.coe_prodMap, mem_support, Prod.exists]
       simp only [mem_add_antidiagonal, emb_domain_coeff, mem_support, ← hf,
-        OrderEmbedding.eq_iff_eq] at h1
+        OrderEmbedding.eq_iff_eq] at h1 
       exact ⟨i, j, h1, rfl⟩
   · rw [emb_domain_notin_range hg, eq_comm]
     contrapose! hg
@@ -1375,7 +1375,7 @@ theorem isPwo_iUnion_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring
   induction' n with n ih <;> intro g hn
   · simp only [exists_prop, and_true_iff, Set.mem_singleton_iff, Set.setOf_eq_eq_singleton,
       mem_support, ite_eq_right_iff, Ne.def, not_false_iff, one_ne_zero, pow_zero, not_forall,
-      one_coeff] at hn
+      one_coeff] at hn 
     rw [hn, SetLike.mem_coe]
     exact AddSubmonoid.zero_mem _
   · obtain ⟨i, j, hi, hj, rfl⟩ := support_mul_subset_add_support hn
@@ -1418,8 +1418,9 @@ theorem finite_co_support (s : SummableFamily Γ R α) (g : Γ) :
 #align hahn_series.summable_family.finite_co_support HahnSeries.SummableFamily.finite_co_support
 
 theorem coe_injective : @Function.Injective (SummableFamily Γ R α) (α → HahnSeries Γ R) coeFn
-  | ⟨f1, hU1, hf1⟩, ⟨f2, hU2, hf2⟩, h => by
-    change f1 = f2 at h
+  | ⟨f1, hU1, hf1⟩, ⟨f2, hU2, hf2⟩, h =>
+    by
+    change f1 = f2 at h 
     subst h
 #align hahn_series.summable_family.coe_injective HahnSeries.SummableFamily.coe_injective
 
@@ -1440,7 +1441,7 @@ instance : Add (SummableFamily Γ R α) :=
         ((x.finite_co_support g).union (y.finite_co_support g)).Subset
           (by
             intro a ha
-            change (x a).coeff g + (y a).coeff g ≠ 0 at ha
+            change (x a).coeff g + (y a).coeff g ≠ 0 at ha 
             rw [Set.mem_union, Function.mem_support, Function.mem_support]
             contrapose! ha
             rw [ha.1, ha.2, add_zero]) }⟩
@@ -1499,7 +1500,7 @@ theorem hsum_coeff {s : SummableFamily Γ R α} {g : Γ} : s.hsum.coeff g = ∑
 theorem support_hsum_subset {s : SummableFamily Γ R α} : s.hsum.support ⊆ ⋃ a : α, (s a).support :=
   fun g hg =>
   by
-  rw [mem_support, hsum_coeff, finsum_eq_sum _ (s.finite_co_support _)] at hg
+  rw [mem_support, hsum_coeff, finsum_eq_sum _ (s.finite_co_support _)] at hg 
   obtain ⟨a, h1, h2⟩ := exists_ne_zero_of_sum_ne_zero hg
   rw [Set.mem_iUnion]
   exact ⟨a, h2⟩
@@ -1703,7 +1704,7 @@ def embDomain (s : SummableFamily Γ R α) (f : α ↪ β) : SummableFamily Γ R
     by
     refine' s.is_pwo_Union_support.mono (Set.iUnion_subset fun b g h => _)
     by_cases hb : b ∈ Set.range f
-    · rw [dif_pos hb] at h
+    · rw [dif_pos hb] at h 
       exact Set.mem_iUnion.2 ⟨Classical.choose hb, h⟩
     · contrapose! h
       simp [hb]
@@ -1712,7 +1713,7 @@ def embDomain (s : SummableFamily Γ R α) (f : α ↪ β) : SummableFamily Γ R
       (by
         intro b h
         by_cases hb : b ∈ Set.range f
-        · simp only [Ne.def, Set.mem_setOf_eq, dif_pos hb] at h
+        · simp only [Ne.def, Set.mem_setOf_eq, dif_pos hb] at h 
           exact ⟨Classical.choose hb, h, Classical.choose_spec hb⟩
         · contrapose! h
           simp only [Ne.def, Set.mem_setOf_eq, dif_neg hb, Classical.not_not, zero_coeff])
@@ -1857,10 +1858,10 @@ theorem isUnit_iff {x : HahnSeries Γ R} : IsUnit x ↔ IsUnit (x.coeff x.order)
     rw [ui, one_coeff, if_pos]
     rw [← order_mul (left_ne_zero_of_mul_eq_one ui) (right_ne_zero_of_mul_eq_one ui), ui, order_one]
   · rintro ⟨⟨u, i, ui, iu⟩, h⟩
-    rw [Units.val_mk] at h
-    rw [h] at iu
+    rw [Units.val_mk] at h 
+    rw [h] at iu 
     have h := summable_family.one_sub_self_mul_hsum_powers (unit_aux x iu)
-    rw [sub_sub_cancel] at h
+    rw [sub_sub_cancel] at h 
     exact isUnit_of_mul_isUnit_right (isUnit_of_mul_eq_one _ _ h)
 #align hahn_series.is_unit_iff HahnSeries.isUnit_iff
 
@@ -1881,7 +1882,7 @@ instance [Field R] : Field (HahnSeries Γ R) :=
       have h :=
         summable_family.one_sub_self_mul_hsum_powers
           (unit_aux x (inv_mul_cancel (coeff_order_ne_zero x0)))
-      rw [sub_sub_cancel] at h
+      rw [sub_sub_cancel] at h 
       rw [← mul_assoc, mul_comm x, h] }
 
 end Inversion

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

@@ -1272,7 +1272,7 @@ def toPowerSeriesAlg : HahnSeries ℕ A ≃ₐ[R] PowerSeries A :=
   { toPowerSeries with
     commutes' := fun r => by
       ext n
-      simp only [algebraMap_apply, PowerSeries.algebraMap_apply, [anonymous], C_apply,
+      simp only [algebraMap_apply, PowerSeries.algebraMap_apply, RingEquiv.toFun_eq_coe, C_apply,
         coeff_to_power_series]
       cases n
       · simp only [PowerSeries.coeff_zero_eq_constantCoeff, single_coeff_same]

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

@@ -59,7 +59,7 @@ in the file `ring_theory/laurent_series`.
 
 open Finset Function
 
-open BigOperators Classical Pointwise Polynomial
+open scoped BigOperators Classical Pointwise Polynomial
 
 noncomputable section
 
@@ -292,6 +292,7 @@ section Domain
 
 variable {Γ' : Type _} [PartialOrder Γ']
 
+#print HahnSeries.embDomain /-
 /-- Extends the domain of a `hahn_series` by an `order_embedding`. -/
 def embDomain (f : Γ ↪o Γ') : HahnSeries Γ R → HahnSeries Γ' R := fun x =>
   { coeff := fun b : Γ' => if h : b ∈ f '' x.support then x.coeff (Classical.choose h) else 0
@@ -301,6 +302,7 @@ def embDomain (f : Γ ↪o Γ') : HahnSeries Γ R → HahnSeries Γ' R := fun x
         contrapose! hb
         rw [Function.mem_support, dif_neg hb, Classical.not_not] }
 #align hahn_series.emb_domain HahnSeries.embDomain
+-/
 
 @[simp]
 theorem embDomain_coeff {f : Γ ↪o Γ'} {x : HahnSeries Γ R} {a : Γ} :

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

@@ -81,22 +81,10 @@ section Zero
 
 variable [PartialOrder Γ] [Zero R]
 
-/- warning: hahn_series.coeff_injective -> HahnSeries.coeff_injective is a dubious translation:
-lean 3 declaration is
-  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : PartialOrder.{u1} Γ] [_inst_2 : Zero.{u2} R], Function.Injective.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (HahnSeries.{u1, u2} Γ R _inst_1 _inst_2) (Γ -> R) (HahnSeries.coeff.{u1, u2} Γ R _inst_1 _inst_2)
-but is expected to have type
-  forall {Γ : Type.{u2}} {R : Type.{u1}} [_inst_1 : PartialOrder.{u2} Γ] [_inst_2 : Zero.{u1} R], Function.Injective.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (HahnSeries.{u2, u1} Γ R _inst_1 _inst_2) (Γ -> R) (HahnSeries.coeff.{u2, u1} Γ R _inst_1 _inst_2)
-Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_injective HahnSeries.coeff_injectiveₓ'. -/
 theorem coeff_injective : Injective (coeff : HahnSeries Γ R → Γ → R) :=
   ext
 #align hahn_series.coeff_injective HahnSeries.coeff_injective
 
-/- warning: hahn_series.coeff_inj -> HahnSeries.coeff_inj is a dubious translation:
-lean 3 declaration is
-  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : PartialOrder.{u1} Γ] [_inst_2 : Zero.{u2} R] {x : HahnSeries.{u1, u2} Γ R _inst_1 _inst_2} {y : HahnSeries.{u1, u2} Γ R _inst_1 _inst_2}, Iff (Eq.{max (succ u1) (succ u2)} (Γ -> R) (HahnSeries.coeff.{u1, u2} Γ R _inst_1 _inst_2 x) (HahnSeries.coeff.{u1, u2} Γ R _inst_1 _inst_2 y)) (Eq.{max (succ u1) (succ u2)} (HahnSeries.{u1, u2} Γ R _inst_1 _inst_2) x y)
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 @[simp]
 theorem coeff_inj {x y : HahnSeries Γ R} : x.coeff = y.coeff ↔ x = y :=
   coeff_injective.eq_iff
@@ -110,34 +98,16 @@ def support (x : HahnSeries Γ R) : Set Γ :=
 #align hahn_series.support HahnSeries.support
 -/
 
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 @[simp]
 theorem isPwo_support (x : HahnSeries Γ R) : x.support.IsPwo :=
   x.isPwo_support'
 #align hahn_series.is_pwo_support HahnSeries.isPwo_support
 
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 @[simp]
 theorem isWf_support (x : HahnSeries Γ R) : x.support.IsWf :=
   x.isPwo_support.IsWf
 #align hahn_series.is_wf_support HahnSeries.isWf_support
 
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 @[simp]
 theorem mem_support (x : HahnSeries Γ R) (a : Γ) : a ∈ x.support ↔ x.coeff a ≠ 0 :=
   Iff.refl _
@@ -160,55 +130,25 @@ theorem zero_coeff {a : Γ} : (0 : HahnSeries Γ R).coeff a = 0 :=
 #align hahn_series.zero_coeff HahnSeries.zero_coeff
 -/
 
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 @[simp]
 theorem coeff_fun_eq_zero_iff {x : HahnSeries Γ R} : x.coeff = 0 ↔ x = 0 :=
   coeff_injective.eq_iff' rfl
 #align hahn_series.coeff_fun_eq_zero_iff HahnSeries.coeff_fun_eq_zero_iff
 
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 theorem ne_zero_of_coeff_ne_zero {x : HahnSeries Γ R} {g : Γ} (h : x.coeff g ≠ 0) : x ≠ 0 :=
   mt (fun x0 => (x0.symm ▸ zero_coeff : x.coeff g = 0)) h
 #align hahn_series.ne_zero_of_coeff_ne_zero HahnSeries.ne_zero_of_coeff_ne_zero
 
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 @[simp]
 theorem support_zero : support (0 : HahnSeries Γ R) = ∅ :=
   Function.support_zero
 #align hahn_series.support_zero HahnSeries.support_zero
 
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 @[simp]
 theorem support_nonempty_iff {x : HahnSeries Γ R} : x.support.Nonempty ↔ x ≠ 0 := by
   rw [support, support_nonempty_iff, Ne.def, coeff_fun_eq_zero_iff]
 #align hahn_series.support_nonempty_iff HahnSeries.support_nonempty_iff
 
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 @[simp]
 theorem support_eq_empty_iff {x : HahnSeries Γ R} : x.support = ∅ ↔ x = 0 :=
   support_eq_empty_iff.trans coeff_fun_eq_zero_iff
@@ -234,12 +174,6 @@ theorem single_coeff_same (a : Γ) (r : R) : (single a r).coeff a = r :=
 #align hahn_series.single_coeff_same HahnSeries.single_coeff_same
 -/
 
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 @[simp]
 theorem single_coeff_of_ne (h : b ≠ a) : (single a r).coeff b = 0 :=
   Pi.single_eq_of_ne h r
@@ -258,32 +192,14 @@ theorem support_single_of_ne (h : r ≠ 0) : support (single a r) = {a} :=
 #align hahn_series.support_single_of_ne HahnSeries.support_single_of_ne
 -/
 
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 theorem support_single_subset : support (single a r) ⊆ {a} :=
   Pi.support_single_subset
 #align hahn_series.support_single_subset HahnSeries.support_single_subset
 
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 theorem eq_of_mem_support_single {b : Γ} (h : b ∈ support (single a r)) : b = a :=
   support_single_subset h
 #align hahn_series.eq_of_mem_support_single HahnSeries.eq_of_mem_support_single
 
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 @[simp]
 theorem single_eq_zero : single a (0 : R) = 0 :=
   (single a).map_zero
@@ -301,12 +217,6 @@ theorem single_ne_zero (h : r ≠ 0) : single a r ≠ 0 := fun con =>
 #align hahn_series.single_ne_zero HahnSeries.single_ne_zero
 -/
 
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 @[simp]
 theorem single_eq_zero_iff {a : Γ} {r : R} : single a r = 0 ↔ r = 0 :=
   by
@@ -335,46 +245,22 @@ def order (x : HahnSeries Γ R) : Γ :=
 #align hahn_series.order HahnSeries.order
 -/
 
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 @[simp]
 theorem order_zero : order (0 : HahnSeries Γ R) = 0 :=
   dif_pos rfl
 #align hahn_series.order_zero HahnSeries.order_zero
 
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 theorem order_of_ne {x : HahnSeries Γ R} (hx : x ≠ 0) :
     order x = x.isWf_support.min (support_nonempty_iff.2 hx) :=
   dif_neg hx
 #align hahn_series.order_of_ne HahnSeries.order_of_ne
 
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 theorem coeff_order_ne_zero {x : HahnSeries Γ R} (hx : x ≠ 0) : x.coeff x.order ≠ 0 :=
   by
   rw [order_of_ne hx]
   exact x.is_wf_support.min_mem (support_nonempty_iff.2 hx)
 #align hahn_series.coeff_order_ne_zero HahnSeries.coeff_order_ne_zero
 
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 theorem order_le_of_coeff_ne_zero {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x : HahnSeries Γ R}
     {g : Γ} (h : x.coeff g ≠ 0) : x.order ≤ g :=
   le_trans (le_of_eq (order_of_ne (ne_zero_of_coeff_ne_zero h)))
@@ -390,12 +276,6 @@ theorem order_single (h : r ≠ 0) : (single a r).order = a :=
 #align hahn_series.order_single HahnSeries.order_single
 -/
 
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 theorem coeff_eq_zero_of_lt_order {x : HahnSeries Γ R} {i : Γ} (hi : i < x.order) : x.coeff i = 0 :=
   by
   rcases eq_or_ne x 0 with (rfl | hx)
@@ -412,12 +292,6 @@ section Domain
 
 variable {Γ' : Type _} [PartialOrder Γ']
 
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 /-- Extends the domain of a `hahn_series` by an `order_embedding`. -/
 def embDomain (f : Γ ↪o Γ') : HahnSeries Γ R → HahnSeries Γ' R := fun x =>
   { coeff := fun b : Γ' => if h : b ∈ f '' x.support then x.coeff (Classical.choose h) else 0
@@ -428,12 +302,6 @@ def embDomain (f : Γ ↪o Γ') : HahnSeries Γ R → HahnSeries Γ' R := fun x
         rw [Function.mem_support, dif_neg hb, Classical.not_not] }
 #align hahn_series.emb_domain HahnSeries.embDomain
 
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 @[simp]
 theorem embDomain_coeff {f : Γ ↪o Γ'} {x : HahnSeries Γ R} {a : Γ} :
     (embDomain f x).coeff (f a) = x.coeff a :=
@@ -449,12 +317,6 @@ theorem embDomain_coeff {f : Γ ↪o Γ'} {x : HahnSeries Γ R} {a : Γ} :
     rwa [f.injective hb2] at hb1
 #align hahn_series.emb_domain_coeff HahnSeries.embDomain_coeff
 
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 @[simp]
 theorem embDomain_mk_coeff {f : Γ → Γ'} (hfi : Function.Injective f)
     (hf : ∀ g g' : Γ, f g ≤ f g' ↔ g ≤ g') {x : HahnSeries Γ R} {a : Γ} :
@@ -462,23 +324,11 @@ theorem embDomain_mk_coeff {f : Γ → Γ'} (hfi : Function.Injective f)
   embDomain_coeff
 #align hahn_series.emb_domain_mk_coeff HahnSeries.embDomain_mk_coeff
 
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 theorem embDomain_notin_image_support {f : Γ ↪o Γ'} {x : HahnSeries Γ R} {b : Γ'}
     (hb : b ∉ f '' x.support) : (embDomain f x).coeff b = 0 :=
   dif_neg hb
 #align hahn_series.emb_domain_notin_image_support HahnSeries.embDomain_notin_image_support
 
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 theorem support_embDomain_subset {f : Γ ↪o Γ'} {x : HahnSeries Γ R} :
     support (embDomain f x) ⊆ f '' x.support :=
   by
@@ -487,34 +337,16 @@ theorem support_embDomain_subset {f : Γ ↪o Γ'} {x : HahnSeries Γ R} :
   rw [mem_support, emb_domain_notin_image_support hg, Classical.not_not]
 #align hahn_series.support_emb_domain_subset HahnSeries.support_embDomain_subset
 
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 theorem embDomain_notin_range {f : Γ ↪o Γ'} {x : HahnSeries Γ R} {b : Γ'} (hb : b ∉ Set.range f) :
     (embDomain f x).coeff b = 0 :=
   embDomain_notin_image_support fun con => hb (Set.image_subset_range _ _ Con)
 #align hahn_series.emb_domain_notin_range HahnSeries.embDomain_notin_range
 
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 @[simp]
 theorem embDomain_zero {f : Γ ↪o Γ'} : embDomain f (0 : HahnSeries Γ R) = 0 := by ext;
   simp [emb_domain_notin_image_support]
 #align hahn_series.emb_domain_zero HahnSeries.embDomain_zero
 
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 @[simp]
 theorem embDomain_single {f : Γ ↪o Γ'} {g : Γ} {r : R} :
     embDomain f (single g r) = single (f g) r :=
@@ -528,12 +360,6 @@ theorem embDomain_single {f : Γ ↪o Γ'} {g : Γ} {r : R} :
   rwa [support_single_of_ne hr, Set.image_singleton, Set.mem_singleton_iff]
 #align hahn_series.emb_domain_single HahnSeries.embDomain_single
 
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 theorem embDomain_injective {f : Γ ↪o Γ'} :
     Function.Injective (embDomain f : HahnSeries Γ R → HahnSeries Γ' R) := fun x y xy =>
   by
@@ -567,33 +393,15 @@ instance : AddMonoid (HahnSeries Γ R) where
   zero_add x := by ext; apply zero_add
   add_zero x := by ext; apply add_zero
 
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 @[simp]
 theorem add_coeff' {x y : HahnSeries Γ R} : (x + y).coeff = x.coeff + y.coeff :=
   rfl
 #align hahn_series.add_coeff' HahnSeries.add_coeff'
 
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 theorem add_coeff {x y : HahnSeries Γ R} {a : Γ} : (x + y).coeff a = x.coeff a + y.coeff a :=
   rfl
 #align hahn_series.add_coeff HahnSeries.add_coeff
 
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 theorem support_add_subset {x y : HahnSeries Γ R} : support (x + y) ⊆ support x ∪ support y :=
   fun a ha => by
   rw [mem_support, add_coeff] at ha
@@ -602,9 +410,6 @@ theorem support_add_subset {x y : HahnSeries Γ R} : support (x + y) ⊆ support
   rw [ha.1, ha.2, add_zero]
 #align hahn_series.support_add_subset HahnSeries.support_add_subset
 
-/- warning: hahn_series.min_order_le_order_add -> HahnSeries.min_order_le_order_add is a dubious translation:
-<too large>
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 theorem min_order_le_order_add {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x y : HahnSeries Γ R}
     (hxy : x + y ≠ 0) : min x.order y.order ≤ (x + y).order :=
   by
@@ -617,24 +422,12 @@ theorem min_order_le_order_add {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x y :
   rw [Set.IsWf.min_union]
 #align hahn_series.min_order_le_order_add HahnSeries.min_order_le_order_add
 
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 /-- `single` as an additive monoid/group homomorphism -/
 @[simps]
 def single.addMonoidHom (a : Γ) : R →+ HahnSeries Γ R :=
   { single a with map_add' := fun x y => by ext b; by_cases h : b = a <;> simp [h] }
 #align hahn_series.single.add_monoid_hom HahnSeries.single.addMonoidHom
 
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 /-- `coeff g` as an additive monoid/group homomorphism -/
 @[simps]
 def coeff.addMonoidHom (g : Γ) : HahnSeries Γ R →+ R
@@ -648,12 +441,6 @@ section Domain
 
 variable {Γ' : Type _} [PartialOrder Γ']
 
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 theorem embDomain_add (f : Γ ↪o Γ') (x y : HahnSeries Γ R) :
     embDomain f (x + y) = embDomain f x + embDomain f y :=
   by
@@ -685,64 +472,28 @@ instance : AddGroup (HahnSeries Γ R) :=
           exact x.is_pwo_support }
     add_left_neg := fun x => by ext; apply add_left_neg }
 
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 @[simp]
 theorem neg_coeff' {x : HahnSeries Γ R} : (-x).coeff = -x.coeff :=
   rfl
 #align hahn_series.neg_coeff' HahnSeries.neg_coeff'
 
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 theorem neg_coeff {x : HahnSeries Γ R} {a : Γ} : (-x).coeff a = -x.coeff a :=
   rfl
 #align hahn_series.neg_coeff HahnSeries.neg_coeff
 
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 @[simp]
 theorem support_neg {x : HahnSeries Γ R} : (-x).support = x.support := by ext; simp
 #align hahn_series.support_neg HahnSeries.support_neg
 
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 @[simp]
 theorem sub_coeff' {x y : HahnSeries Γ R} : (x - y).coeff = x.coeff - y.coeff := by ext;
   simp [sub_eq_add_neg]
 #align hahn_series.sub_coeff' HahnSeries.sub_coeff'
 
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 theorem sub_coeff {x y : HahnSeries Γ R} {a : Γ} : (x - y).coeff a = x.coeff a - y.coeff a := by
   simp
 #align hahn_series.sub_coeff HahnSeries.sub_coeff
 
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 @[simp]
 theorem order_neg [Zero Γ] {f : HahnSeries Γ R} : (-f).order = f.order :=
   by
@@ -766,12 +517,6 @@ instance : SMul R (HahnSeries Γ V) :=
     { coeff := r • x.coeff
       isPwo_support' := x.isPwo_support.mono (Function.support_smul_subset_right r x.coeff) }⟩
 
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 @[simp]
 theorem smul_coeff {r : R} {x : HahnSeries Γ V} {a : Γ} : (r • x).coeff a = r • x.coeff a :=
   rfl
@@ -805,24 +550,12 @@ instance : Module R (HahnSeries Γ V) :=
     zero_smul := fun _ => by ext; simp
     add_smul := fun _ _ _ => by ext; simp [add_smul] }
 
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 /-- `single` as a linear map -/
 @[simps]
 def single.linearMap (a : Γ) : R →ₗ[R] HahnSeries Γ R :=
   { single.addMonoidHom a with map_smul' := fun r s => by ext b; by_cases h : b = a <;> simp [h] }
 #align hahn_series.single.linear_map HahnSeries.single.linearMap
 
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 /-- `coeff g` as a linear map -/
 @[simps]
 def coeff.linearMap (g : Γ) : HahnSeries Γ R →ₗ[R] R :=
@@ -833,12 +566,6 @@ section Domain
 
 variable {Γ' : Type _} [PartialOrder Γ']
 
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 theorem embDomain_smul (f : Γ ↪o Γ') (r : R) (x : HahnSeries Γ R) :
     embDomain f (r • x) = r • embDomain f x := by
   ext g
@@ -848,12 +575,6 @@ theorem embDomain_smul (f : Γ ↪o Γ') (r : R) (x : HahnSeries Γ R) :
   · simp [emb_domain_notin_range, hg]
 #align hahn_series.emb_domain_smul HahnSeries.embDomain_smul
 
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 /-- Extending the domain of Hahn series is a linear map. -/
 @[simps]
 def embDomainLinearMap (f : Γ ↪o Γ') : HahnSeries Γ R →ₗ[R] HahnSeries Γ' R
@@ -874,46 +595,22 @@ variable [OrderedCancelAddCommMonoid Γ]
 instance [Zero R] [One R] : One (HahnSeries Γ R) :=
   ⟨single 0 1⟩
 
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 @[simp]
 theorem one_coeff [Zero R] [One R] {a : Γ} :
     (1 : HahnSeries Γ R).coeff a = if a = 0 then 1 else 0 :=
   single_coeff
 #align hahn_series.one_coeff HahnSeries.one_coeff
 
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 @[simp]
 theorem single_zero_one [Zero R] [One R] : single 0 (1 : R) = 1 :=
   rfl
 #align hahn_series.single_zero_one HahnSeries.single_zero_one
 
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 @[simp]
 theorem support_one [MulZeroOneClass R] [Nontrivial R] : support (1 : HahnSeries Γ R) = {0} :=
   support_single_of_ne one_ne_zero
 #align hahn_series.support_one HahnSeries.support_one
 
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 @[simp]
 theorem order_one [MulZeroOneClass R] : order (1 : HahnSeries Γ R) = 0 :=
   by
@@ -939,12 +636,6 @@ instance [NonUnitalNonAssocSemiring R] : Mul (HahnSeries Γ R)
           simp [not_nonempty_iff_eq_empty.1 ha]
         is_pwo_support_add_antidiagonal.mono h }
 
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 @[simp]
 theorem mul_coeff [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} :
     (x * y).coeff a =
@@ -952,12 +643,6 @@ theorem mul_coeff [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ}
   rfl
 #align hahn_series.mul_coeff HahnSeries.mul_coeff
 
-/- warning: hahn_series.mul_coeff_right' -> HahnSeries.mul_coeff_right' is a dubious translation:
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-  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : OrderedCancelAddCommMonoid.{u1} Γ] [_inst_2 : NonUnitalNonAssocSemiring.{u2} R] {x : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {y : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {a : Γ} {s : Set.{u1} Γ} (hs : Set.IsPwo.{u1} Γ (PartialOrder.toPreorder.{u1} Γ (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1)) s), (HasSubset.Subset.{u1} (Set.{u1} Γ) (Set.hasSubset.{u1} Γ) (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y) s) -> (Eq.{succ u2} R (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HMul.hMul.{max u1 u2, max u1 u2, max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (instHMul.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.hasMul.{u1, u2} Γ R _inst_1 _inst_2)) x y) a) (Finset.sum.{u2, u1} R (Prod.{u1, u1} Γ Γ) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R _inst_2) (Finset.addAntidiagonal.{u1} Γ _inst_1 (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x) s (HahnSeries.isPwo_support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x) hs a) (fun (ij : Prod.{u1, u1} Γ Γ) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (Distrib.toHasMul.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R _inst_2))) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x (Prod.fst.{u1, u1} Γ Γ ij)) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y (Prod.snd.{u1, u1} Γ Γ ij)))))
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-Case conversion may be inaccurate. Consider using '#align hahn_series.mul_coeff_right' HahnSeries.mul_coeff_right'ₓ'. -/
 theorem mul_coeff_right' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} {s : Set Γ}
     (hs : s.IsPwo) (hys : y.support ⊆ s) :
     (x * y).coeff a =
@@ -970,12 +655,6 @@ theorem mul_coeff_right' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {
   rw [hb.2 hb.1.1 hb.1.2.2, MulZeroClass.mul_zero]
 #align hahn_series.mul_coeff_right' HahnSeries.mul_coeff_right'
 
-/- warning: hahn_series.mul_coeff_left' -> HahnSeries.mul_coeff_left' is a dubious translation:
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-  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : OrderedCancelAddCommMonoid.{u1} Γ] [_inst_2 : NonUnitalNonAssocSemiring.{u2} R] {x : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {y : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {a : Γ} {s : Set.{u1} Γ} (hs : Set.IsPwo.{u1} Γ (PartialOrder.toPreorder.{u1} Γ (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1)) s), (HasSubset.Subset.{u1} (Set.{u1} Γ) (Set.hasSubset.{u1} Γ) (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x) s) -> (Eq.{succ u2} R (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HMul.hMul.{max u1 u2, max u1 u2, max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (instHMul.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.hasMul.{u1, u2} Γ R _inst_1 _inst_2)) x y) a) (Finset.sum.{u2, u1} R (Prod.{u1, u1} Γ Γ) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R _inst_2) (Finset.addAntidiagonal.{u1} Γ _inst_1 s (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y) hs (HahnSeries.isPwo_support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y) a) (fun (ij : Prod.{u1, u1} Γ Γ) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (Distrib.toHasMul.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R _inst_2))) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x (Prod.fst.{u1, u1} Γ Γ ij)) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y (Prod.snd.{u1, u1} Γ Γ ij)))))
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-Case conversion may be inaccurate. Consider using '#align hahn_series.mul_coeff_left' HahnSeries.mul_coeff_left'ₓ'. -/
 theorem mul_coeff_left' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} {s : Set Γ}
     (hs : s.IsPwo) (hxs : x.support ⊆ s) :
     (x * y).coeff a =
@@ -1014,12 +693,6 @@ instance [NonUnitalNonAssocSemiring R] : Distrib (HahnSeries Γ R) :=
         intro h
         rw [h.1, h.2, add_zero] }
 
-/- warning: hahn_series.single_mul_coeff_add -> HahnSeries.single_mul_coeff_add is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align hahn_series.single_mul_coeff_add HahnSeries.single_mul_coeff_addₓ'. -/
 theorem single_mul_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeries Γ R} {a : Γ}
     {b : Γ} : (single b r * x).coeff (a + b) = r * x.coeff a :=
   by
@@ -1050,12 +723,6 @@ theorem single_mul_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
   · simp
 #align hahn_series.single_mul_coeff_add HahnSeries.single_mul_coeff_add
 
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 theorem mul_single_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeries Γ R} {a : Γ}
     {b : Γ} : (x * single b r).coeff (a + b) = x.coeff a * r :=
   by
@@ -1084,41 +751,20 @@ theorem mul_single_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
   · simp
 #align hahn_series.mul_single_coeff_add HahnSeries.mul_single_coeff_add
 
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 @[simp]
 theorem mul_single_zero_coeff [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeries Γ R} {a : Γ} :
     (x * single 0 r).coeff a = x.coeff a * r := by rw [← add_zero a, mul_single_coeff_add, add_zero]
 #align hahn_series.mul_single_zero_coeff HahnSeries.mul_single_zero_coeff
 
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 theorem single_zero_mul_coeff [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeries Γ R} {a : Γ} :
     (single 0 r * x).coeff a = r * x.coeff a := by rw [← add_zero a, single_mul_coeff_add, add_zero]
 #align hahn_series.single_zero_mul_coeff HahnSeries.single_zero_mul_coeff
 
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-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.single_zero_mul_eq_smul HahnSeries.single_zero_mul_eq_smulₓ'. -/
 @[simp]
 theorem single_zero_mul_eq_smul [Semiring R] {r : R} {x : HahnSeries Γ R} :
     single 0 r * x = r • x := by ext; exact single_zero_mul_coeff
 #align hahn_series.single_zero_mul_eq_smul HahnSeries.single_zero_mul_eq_smul
 
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-Case conversion may be inaccurate. Consider using '#align hahn_series.support_mul_subset_add_support HahnSeries.support_mul_subset_add_supportₓ'. -/
 theorem support_mul_subset_add_support [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} :
     support (x * y) ⊆ support x + support y :=
   by
@@ -1130,9 +776,6 @@ theorem support_mul_subset_add_support [NonUnitalNonAssocSemiring R] {x y : Hahn
   simp [hx]
 #align hahn_series.support_mul_subset_add_support HahnSeries.support_mul_subset_add_support
 
-/- warning: hahn_series.mul_coeff_order_add_order -> HahnSeries.mul_coeff_order_add_order is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.mul_coeff_order_add_order HahnSeries.mul_coeff_order_add_orderₓ'. -/
 theorem mul_coeff_order_add_order {Γ} [LinearOrderedCancelAddCommMonoid Γ]
     [NonUnitalNonAssocSemiring R] (x y : HahnSeries Γ R) :
     (x * y).coeff (x.order + y.order) = x.coeff x.order * y.coeff y.order :=
@@ -1252,9 +895,6 @@ instance {Γ} [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R] :
     IsDomain (HahnSeries Γ R) :=
   NoZeroDivisors.to_isDomain _
 
-/- warning: hahn_series.order_mul -> HahnSeries.order_mul is a dubious translation:
-<too large>
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 @[simp]
 theorem order_mul {Γ} [LinearOrderedCancelAddCommMonoid Γ] [NonUnitalNonAssocSemiring R]
     [NoZeroDivisors R] {x y : HahnSeries Γ R} (hx : x ≠ 0) (hy : y ≠ 0) :
@@ -1267,12 +907,6 @@ theorem order_mul {Γ} [LinearOrderedCancelAddCommMonoid Γ] [NonUnitalNonAssocS
     exact Set.IsWf.min_le_min_of_subset support_mul_subset_add_support
 #align hahn_series.order_mul HahnSeries.order_mul
 
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-Case conversion may be inaccurate. Consider using '#align hahn_series.order_pow HahnSeries.order_powₓ'. -/
 @[simp]
 theorem order_pow {Γ} [LinearOrderedCancelAddCommMonoid Γ] [Semiring R] [NoZeroDivisors R]
     (x : HahnSeries Γ R) (n : ℕ) : (x ^ n).order = n • x.order :=
@@ -1288,9 +922,6 @@ section NonUnitalNonAssocSemiring
 
 variable [NonUnitalNonAssocSemiring R]
 
-/- warning: hahn_series.single_mul_single -> HahnSeries.single_mul_single is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.single_mul_single HahnSeries.single_mul_singleₓ'. -/
 @[simp]
 theorem single_mul_single {a b : Γ} {r s : R} : single a r * single b s = single (a + b) (r * s) :=
   by
@@ -1311,12 +942,6 @@ section NonAssocSemiring
 
 variable [NonAssocSemiring R]
 
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 /-- `C a` is the constant Hahn Series `a`. `C` is provided as a ring homomorphism. -/
 @[simps]
 def C : R →+* HahnSeries Γ R where
@@ -1327,34 +952,16 @@ def C : R →+* HahnSeries Γ R where
   map_mul' x y := by rw [single_mul_single, zero_add]
 #align hahn_series.C HahnSeries.C
 
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 @[simp]
 theorem C_zero : C (0 : R) = (0 : HahnSeries Γ R) :=
   C.map_zero
 #align hahn_series.C_zero HahnSeries.C_zero
 
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 @[simp]
 theorem C_one : C (1 : R) = (1 : HahnSeries Γ R) :=
   C.map_one
 #align hahn_series.C_one HahnSeries.C_one
 
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 theorem C_injective : Function.Injective (C : R → HahnSeries Γ R) :=
   by
   intro r s rs
@@ -1363,12 +970,6 @@ theorem C_injective : Function.Injective (C : R → HahnSeries Γ R) :=
   rwa [C_apply, single_coeff_same, C_apply, single_coeff_same] at h
 #align hahn_series.C_injective HahnSeries.C_injective
 
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 theorem C_ne_zero {r : R} (h : r ≠ 0) : (C r : HahnSeries Γ R) ≠ 0 :=
   by
   contrapose! h
@@ -1376,12 +977,6 @@ theorem C_ne_zero {r : R} (h : r ≠ 0) : (C r : HahnSeries Γ R) ≠ 0 :=
   exact C_injective h
 #align hahn_series.C_ne_zero HahnSeries.C_ne_zero
 
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-Case conversion may be inaccurate. Consider using '#align hahn_series.order_C HahnSeries.order_Cₓ'. -/
 theorem order_C {r : R} : order (C r : HahnSeries Γ R) = 0 :=
   by
   by_cases h : r = 0
@@ -1395,9 +990,6 @@ section Semiring
 
 variable [Semiring R]
 
-/- warning: hahn_series.C_mul_eq_smul -> HahnSeries.C_mul_eq_smul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.C_mul_eq_smul HahnSeries.C_mul_eq_smulₓ'. -/
 theorem C_mul_eq_smul {r : R} {x : HahnSeries Γ R} : C r * x = r • x :=
   single_zero_mul_eq_smul
 #align hahn_series.C_mul_eq_smul HahnSeries.C_mul_eq_smul
@@ -1408,9 +1000,6 @@ section Domain
 
 variable {Γ' : Type _} [OrderedCancelAddCommMonoid Γ']
 
-/- warning: hahn_series.emb_domain_mul -> HahnSeries.embDomain_mul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.emb_domain_mul HahnSeries.embDomain_mulₓ'. -/
 theorem embDomain_mul [NonUnitalNonAssocSemiring R] (f : Γ ↪o Γ')
     (hf : ∀ x y, f (x + y) = f x + f y) (x y : HahnSeries Γ R) :
     embDomain f (x * y) = embDomain f x * embDomain f y :=
@@ -1448,17 +1037,11 @@ theorem embDomain_mul [NonUnitalNonAssocSemiring R] (f : Γ ↪o Γ')
     refine' ⟨i + j, hf i j⟩
 #align hahn_series.emb_domain_mul HahnSeries.embDomain_mul
 
-/- warning: hahn_series.emb_domain_one -> HahnSeries.embDomain_one is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.emb_domain_one HahnSeries.embDomain_oneₓ'. -/
 theorem embDomain_one [NonAssocSemiring R] (f : Γ ↪o Γ') (hf : f 0 = 0) :
     embDomain f (1 : HahnSeries Γ R) = (1 : HahnSeries Γ' R) :=
   embDomain_single.trans <| hf.symm ▸ rfl
 #align hahn_series.emb_domain_one HahnSeries.embDomain_one
 
-/- warning: hahn_series.emb_domain_ring_hom -> HahnSeries.embDomainRingHom is a dubious translation:
-<too large>
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 /-- Extending the domain of Hahn series is a ring homomorphism. -/
 @[simps]
 def embDomainRingHom [NonAssocSemiring R] (f : Γ →+ Γ') (hfi : Function.Injective f)
@@ -1471,9 +1054,6 @@ def embDomainRingHom [NonAssocSemiring R] (f : Γ →+ Γ') (hfi : Function.Inje
   map_add' := embDomain_add _
 #align hahn_series.emb_domain_ring_hom HahnSeries.embDomainRingHom
 
-/- warning: hahn_series.emb_domain_ring_hom_C -> HahnSeries.embDomainRingHom_C is a dubious translation:
-<too large>
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 theorem embDomainRingHom_C [NonAssocSemiring R] {f : Γ →+ Γ'} {hfi : Function.Injective f}
     {hf : ∀ g g' : Γ, f g ≤ f g' ↔ g ≤ g'} {r : R} : embDomainRingHom f hfi hf (C r) = C r :=
   embDomain_single.trans (by simp)
@@ -1495,19 +1075,10 @@ instance : Algebra R (HahnSeries Γ A)
       Function.comp_apply, algebraMap_smul, mul_single_zero_coeff]
     rw [← Algebra.commutes, Algebra.smul_def]
 
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 theorem C_eq_algebraMap : C = algebraMap R (HahnSeries Γ R) :=
   rfl
 #align hahn_series.C_eq_algebra_map HahnSeries.C_eq_algebraMap
 
-/- warning: hahn_series.algebra_map_apply -> HahnSeries.algebraMap_apply is a dubious translation:
-<too large>
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 theorem algebraMap_apply {r : R} : algebraMap R (HahnSeries Γ A) r = C (algebraMap R A r) :=
   rfl
 #align hahn_series.algebra_map_apply HahnSeries.algebraMap_apply
@@ -1528,9 +1099,6 @@ section Domain
 
 variable {Γ' : Type _} [OrderedCancelAddCommMonoid Γ']
 
-/- warning: hahn_series.emb_domain_alg_hom -> HahnSeries.embDomainAlgHom is a dubious translation:
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 /-- Extending the domain of Hahn series is an algebra homomorphism. -/
 @[simps]
 def embDomainAlgHom (f : Γ →+ Γ') (hfi : Function.Injective f)
@@ -1548,12 +1116,6 @@ section Semiring
 
 variable [Semiring R]
 
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 /-- The ring `hahn_series ℕ R` is isomorphic to `power_series R`. -/
 @[simps]
 def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R
@@ -1575,17 +1137,11 @@ def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R
       rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
 #align hahn_series.to_power_series HahnSeries.toPowerSeries
 
-/- warning: hahn_series.coeff_to_power_series -> HahnSeries.coeff_toPowerSeries is a dubious translation:
-<too large>
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 theorem coeff_toPowerSeries {f : HahnSeries ℕ R} {n : ℕ} :
     PowerSeries.coeff R n f.toPowerSeries = f.coeff n :=
   PowerSeries.coeff_mk _ _
 #align hahn_series.coeff_to_power_series HahnSeries.coeff_toPowerSeries
 
-/- warning: hahn_series.coeff_to_power_series_symm -> HahnSeries.coeff_toPowerSeries_symm is a dubious translation:
-<too large>
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 theorem coeff_toPowerSeries_symm {f : PowerSeries R} {n : ℕ} :
     (HahnSeries.toPowerSeries.symm f).coeff n = PowerSeries.coeff R n f :=
   rfl
@@ -1593,12 +1149,6 @@ theorem coeff_toPowerSeries_symm {f : PowerSeries R} {n : ℕ} :
 
 variable (Γ R) [StrictOrderedSemiring Γ]
 
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 /-- Casts a power series as a Hahn series with coefficients from an `strict_ordered_semiring`. -/
 def ofPowerSeries : PowerSeries R →+* HahnSeries Γ R :=
   (HahnSeries.embDomainRingHom (Nat.castAddMonoidHom Γ) Nat.strictMono_cast.Injective fun _ _ =>
@@ -1608,19 +1158,10 @@ def ofPowerSeries : PowerSeries R →+* HahnSeries Γ R :=
 
 variable {Γ} {R}
 
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_inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)))))) (HahnSeries.ofPowerSeries.{u1, u2} Γ R _inst_1 _inst_2))
-Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_injective HahnSeries.ofPowerSeries_injectiveₓ'. -/
 theorem ofPowerSeries_injective : Function.Injective (ofPowerSeries Γ R) :=
   embDomain_injective.comp toPowerSeries.symm.Injective
 #align hahn_series.of_power_series_injective HahnSeries.ofPowerSeries_injective
 
-/- warning: hahn_series.of_power_series_apply -> HahnSeries.ofPowerSeries_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_apply HahnSeries.ofPowerSeries_applyₓ'. -/
 @[simp]
 theorem ofPowerSeries_apply (x : PowerSeries R) :
     ofPowerSeries Γ R x =
@@ -1633,16 +1174,10 @@ theorem ofPowerSeries_apply (x : PowerSeries R) :
   rfl
 #align hahn_series.of_power_series_apply HahnSeries.ofPowerSeries_apply
 
-/- warning: hahn_series.of_power_series_apply_coeff -> HahnSeries.ofPowerSeries_apply_coeff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_apply_coeff HahnSeries.ofPowerSeries_apply_coeffₓ'. -/
 theorem ofPowerSeries_apply_coeff (x : PowerSeries R) (n : ℕ) :
     (ofPowerSeries Γ R x).coeff n = PowerSeries.coeff R n x := by simp
 #align hahn_series.of_power_series_apply_coeff HahnSeries.ofPowerSeries_apply_coeff
 
-/- warning: hahn_series.of_power_series_C -> HahnSeries.ofPowerSeries_C is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_C HahnSeries.ofPowerSeries_Cₓ'. -/
 @[simp]
 theorem ofPowerSeries_C (r : R) : ofPowerSeries Γ R (PowerSeries.C R r) = HahnSeries.C r :=
   by
@@ -1658,9 +1193,6 @@ theorem ofPowerSeries_C (r : R) : ofPowerSeries Γ R (PowerSeries.C R r) = HahnS
     simp (config := { contextual := true }) [Ne.symm hn]
 #align hahn_series.of_power_series_C HahnSeries.ofPowerSeries_C
 
-/- warning: hahn_series.of_power_series_X -> HahnSeries.ofPowerSeries_X is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_X HahnSeries.ofPowerSeries_Xₓ'. -/
 @[simp]
 theorem ofPowerSeries_X : ofPowerSeries Γ R PowerSeries.X = single 1 1 :=
   by
@@ -1676,9 +1208,6 @@ theorem ofPowerSeries_X : ofPowerSeries Γ R PowerSeries.X = single 1 1 :=
     simp (config := { contextual := true }) [Ne.symm hn]
 #align hahn_series.of_power_series_X HahnSeries.ofPowerSeries_X
 
-/- warning: hahn_series.of_power_series_X_pow -> HahnSeries.ofPowerSeries_X_pow is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_X_powₓ'. -/
 @[simp]
 theorem ofPowerSeries_X_pow {R} [CommSemiring R] (n : ℕ) :
     ofPowerSeries Γ R (PowerSeries.X ^ n) = single (n : Γ) 1 :=
@@ -1689,12 +1218,6 @@ theorem ofPowerSeries_X_pow {R} [CommSemiring R] (n : ℕ) :
   rw [pow_succ, ih, of_power_series_X, mul_comm, single_mul_single, one_mul, Nat.cast_succ]
 #align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_X_pow
 
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-Case conversion may be inaccurate. Consider using '#align hahn_series.to_mv_power_series HahnSeries.toMvPowerSeriesₓ'. -/
 -- Lemmas about converting hahn_series over fintype to and from mv_power_series
 /-- The ring `hahn_series (σ →₀ ℕ) R` is isomorphic to `mv_power_series σ R` for a `fintype` `σ`.
 We take the index set of the hahn series to be `finsupp` rather than `pi`,
@@ -1725,17 +1248,11 @@ def toMvPowerSeries {σ : Type _} [Fintype σ] : HahnSeries (σ →₀ ℕ) R 
 
 variable {σ : Type _} [Fintype σ]
 
-/- warning: hahn_series.coeff_to_mv_power_series -> HahnSeries.coeff_toMvPowerSeries is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_to_mv_power_series HahnSeries.coeff_toMvPowerSeriesₓ'. -/
 theorem coeff_toMvPowerSeries {f : HahnSeries (σ →₀ ℕ) R} {n : σ →₀ ℕ} :
     MvPowerSeries.coeff R n f.toMvPowerSeries = f.coeff n :=
   rfl
 #align hahn_series.coeff_to_mv_power_series HahnSeries.coeff_toMvPowerSeries
 
-/- warning: hahn_series.coeff_to_mv_power_series_symm -> HahnSeries.coeff_toMvPowerSeries_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_to_mv_power_series_symm HahnSeries.coeff_toMvPowerSeries_symmₓ'. -/
 theorem coeff_toMvPowerSeries_symm {f : MvPowerSeries σ R} {n : σ →₀ ℕ} :
     (HahnSeries.toMvPowerSeries.symm f).coeff n = MvPowerSeries.coeff R n f :=
   rfl
@@ -1747,12 +1264,6 @@ section Algebra
 
 variable (R) [CommSemiring R] {A : Type _} [Semiring A] [Algebra R A]
 
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-Case conversion may be inaccurate. Consider using '#align hahn_series.to_power_series_alg HahnSeries.toPowerSeriesAlgₓ'. -/
 /-- The `R`-algebra `hahn_series ℕ A` is isomorphic to `power_series A`. -/
 @[simps]
 def toPowerSeriesAlg : HahnSeries ℕ A ≃ₐ[R] PowerSeries A :=
@@ -1770,12 +1281,6 @@ def toPowerSeriesAlg : HahnSeries ℕ A ≃ₐ[R] PowerSeries A :=
 
 variable (Γ R) [StrictOrderedSemiring Γ]
 
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-Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_alg HahnSeries.ofPowerSeriesAlgₓ'. -/
 /-- Casting a power series as a Hahn series with coefficients from an `strict_ordered_semiring`
   is an algebra homomorphism. -/
 @[simps]
@@ -1785,12 +1290,6 @@ def ofPowerSeriesAlg : PowerSeries A →ₐ[R] HahnSeries Γ A :=
     (AlgEquiv.toAlgHom (toPowerSeriesAlg R).symm)
 #align hahn_series.of_power_series_alg HahnSeries.ofPowerSeriesAlg
 
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-Case conversion may be inaccurate. Consider using '#align hahn_series.power_series_algebra HahnSeries.powerSeriesAlgebraₓ'. -/
 instance powerSeriesAlgebra {S : Type _} [CommSemiring S] [Algebra S (PowerSeries R)] :
     Algebra S (HahnSeries Γ R) :=
   RingHom.toAlgebra <| (ofPowerSeries Γ R).comp (algebraMap S (PowerSeries R))
@@ -1798,26 +1297,17 @@ instance powerSeriesAlgebra {S : Type _} [CommSemiring S] [Algebra S (PowerSerie
 
 variable {R} {S : Type _} [CommSemiring S] [Algebra S (PowerSeries R)]
 
-/- warning: hahn_series.algebra_map_apply' -> HahnSeries.algebraMap_apply' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.algebra_map_apply' HahnSeries.algebraMap_apply'ₓ'. -/
 theorem algebraMap_apply' (x : S) :
     algebraMap S (HahnSeries Γ R) x = ofPowerSeries Γ R (algebraMap S (PowerSeries R) x) :=
   rfl
 #align hahn_series.algebra_map_apply' HahnSeries.algebraMap_apply'
 
-/- warning: polynomial.algebra_map_hahn_series_apply -> Polynomial.algebraMap_hahnSeries_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align polynomial.algebra_map_hahn_series_apply Polynomial.algebraMap_hahnSeries_applyₓ'. -/
 @[simp]
 theorem Polynomial.algebraMap_hahnSeries_apply (f : R[X]) :
     algebraMap R[X] (HahnSeries Γ R) f = ofPowerSeries Γ R f :=
   rfl
 #align polynomial.algebra_map_hahn_series_apply Polynomial.algebraMap_hahnSeries_apply
 
-/- warning: polynomial.algebra_map_hahn_series_injective -> Polynomial.algebraMap_hahnSeries_injective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align polynomial.algebra_map_hahn_series_injective Polynomial.algebraMap_hahnSeries_injectiveₓ'. -/
 theorem Polynomial.algebraMap_hahnSeries_injective :
     Function.Injective (algebraMap R[X] (HahnSeries Γ R)) :=
   ofPowerSeries_injective.comp (Polynomial.coe_injective R)
@@ -1829,12 +1319,6 @@ section Valuation
 
 variable (Γ R) [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R]
 
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 /-- The additive valuation on `hahn_series Γ R`, returning the smallest index at which
   a Hahn Series has a nonzero coefficient, or `⊤` for the 0 series.  -/
 def addVal : AddValuation (HahnSeries Γ R) (WithTop Γ) :=
@@ -1861,28 +1345,16 @@ def addVal : AddValuation (HahnSeries Γ R) (WithTop Γ) :=
 
 variable {Γ} {R}
 
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 theorem addVal_apply {x : HahnSeries Γ R} :
     addVal Γ R x = if x = (0 : HahnSeries Γ R) then (⊤ : WithTop Γ) else x.order :=
   AddValuation.of_apply _
 #align hahn_series.add_val_apply HahnSeries.addVal_apply
 
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-<too large>
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 @[simp]
 theorem addVal_apply_of_ne {x : HahnSeries Γ R} (hx : x ≠ 0) : addVal Γ R x = x.order :=
   if_neg hx
 #align hahn_series.add_val_apply_of_ne HahnSeries.addVal_apply_of_ne
 
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 theorem addVal_le_of_coeff_ne_zero {x : HahnSeries Γ R} {g : Γ} (h : x.coeff g ≠ 0) :
     addVal Γ R x ≤ g :=
   by
@@ -1892,9 +1364,6 @@ theorem addVal_le_of_coeff_ne_zero {x : HahnSeries Γ R} {g : Γ} (h : x.coeff g
 
 end Valuation
 
-/- warning: hahn_series.is_pwo_Union_support_powers -> HahnSeries.isPwo_iUnion_support_powers is a dubious translation:
-<too large>
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 theorem isPwo_iUnion_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R]
     {x : HahnSeries Γ R} (hx : 0 < addVal Γ R x) : (⋃ n : ℕ, (x ^ n).support).IsPwo :=
   by
@@ -1937,45 +1406,21 @@ variable [PartialOrder Γ] [AddCommMonoid R] {α : Type _}
 instance : CoeFun (SummableFamily Γ R α) fun _ => α → HahnSeries Γ R :=
   ⟨toFun⟩
 
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 theorem isPwo_iUnion_support (s : SummableFamily Γ R α) : Set.IsPwo (⋃ a : α, (s a).support) :=
   s.isPwo_iUnion_support'
 #align hahn_series.summable_family.is_pwo_Union_support HahnSeries.SummableFamily.isPwo_iUnion_support
 
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 theorem finite_co_support (s : SummableFamily Γ R α) (g : Γ) :
     (Function.support fun a => (s a).coeff g).Finite :=
   s.finite_co_support' g
 #align hahn_series.summable_family.finite_co_support HahnSeries.SummableFamily.finite_co_support
 
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 theorem coe_injective : @Function.Injective (SummableFamily Γ R α) (α → HahnSeries Γ R) coeFn
   | ⟨f1, hU1, hf1⟩, ⟨f2, hU2, hf2⟩, h => by
     change f1 = f2 at h
     subst h
 #align hahn_series.summable_family.coe_injective HahnSeries.SummableFamily.coe_injective
 
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 @[ext]
 theorem ext {s t : SummableFamily Γ R α} (h : ∀ a : α, s a = t a) : s = t :=
   coe_injective <| funext h
@@ -2004,44 +1449,20 @@ instance : Zero (SummableFamily Γ R α) :=
 instance : Inhabited (SummableFamily Γ R α) :=
   ⟨0⟩
 
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 @[simp]
 theorem coe_add {s t : SummableFamily Γ R α} : ⇑(s + t) = s + t :=
   rfl
 #align hahn_series.summable_family.coe_add HahnSeries.SummableFamily.coe_add
 
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 theorem add_apply {s t : SummableFamily Γ R α} {a : α} : (s + t) a = s a + t a :=
   rfl
 #align hahn_series.summable_family.add_apply HahnSeries.SummableFamily.add_apply
 
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 @[simp]
 theorem coe_zero : ((0 : SummableFamily Γ R α) : α → HahnSeries Γ R) = 0 :=
   rfl
 #align hahn_series.summable_family.coe_zero HahnSeries.SummableFamily.coe_zero
 
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 theorem zero_apply {a : α} : (0 : SummableFamily Γ R α) a = 0 :=
   rfl
 #align hahn_series.summable_family.zero_apply HahnSeries.SummableFamily.zero_apply
@@ -2055,12 +1476,6 @@ instance : AddCommMonoid (SummableFamily Γ R α)
   add_comm s t := by ext; apply add_comm
   add_assoc r s t := by ext; apply add_assoc
 
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 /-- The infinite sum of a `summable_family` of Hahn series. -/
 def hsum (s : SummableFamily Γ R α) : HahnSeries Γ R
     where
@@ -2074,23 +1489,11 @@ def hsum (s : SummableFamily Γ R α) : HahnSeries Γ R
       rw [finsum_congr h, finsum_zero]
 #align hahn_series.summable_family.hsum HahnSeries.SummableFamily.hsum
 
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 @[simp]
 theorem hsum_coeff {s : SummableFamily Γ R α} {g : Γ} : s.hsum.coeff g = ∑ᶠ i, (s i).coeff g :=
   rfl
 #align hahn_series.summable_family.hsum_coeff HahnSeries.SummableFamily.hsum_coeff
 
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 theorem support_hsum_subset {s : SummableFamily Γ R α} : s.hsum.support ⊆ ⋃ a : α, (s a).support :=
   fun g hg =>
   by
@@ -2100,12 +1503,6 @@ theorem support_hsum_subset {s : SummableFamily Γ R α} : s.hsum.support ⊆ 
   exact ⟨a, h2⟩
 #align hahn_series.summable_family.support_hsum_subset HahnSeries.SummableFamily.support_hsum_subset
 
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 @[simp]
 theorem hsum_add {s t : SummableFamily Γ R α} : (s + t).hsum = s.hsum + t.hsum :=
   by
@@ -2132,44 +1529,20 @@ instance : AddCommGroup (SummableFamily Γ R α) :=
           exact s.finite_co_support g }
     add_left_neg := fun a => by ext; apply add_left_neg }
 
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 @[simp]
 theorem coe_neg : ⇑(-s) = -s :=
   rfl
 #align hahn_series.summable_family.coe_neg HahnSeries.SummableFamily.coe_neg
 
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 theorem neg_apply : (-s) a = -s a :=
   rfl
 #align hahn_series.summable_family.neg_apply HahnSeries.SummableFamily.neg_apply
 
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 @[simp]
 theorem coe_sub : ⇑(s - t) = s - t :=
   rfl
 #align hahn_series.summable_family.coe_sub HahnSeries.SummableFamily.coe_sub
 
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 theorem sub_apply : (s - t) a = s a - t a :=
   rfl
 #align hahn_series.summable_family.sub_apply HahnSeries.SummableFamily.sub_apply
@@ -2203,12 +1576,6 @@ instance : SMul (HahnSeries Γ R) (SummableFamily Γ R α)
             is_pwo_support, Prod.exists]
           exact ⟨i, j, mem_coe.2 (mem_add_antidiagonal.2 ⟨hi, Set.mem_iUnion.2 ⟨a, hj⟩, rfl⟩), hj⟩ }
 
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 @[simp]
 theorem smul_apply {x : HahnSeries Γ R} {s : SummableFamily Γ R α} {a : α} : (x • s) a = x * s a :=
   rfl
@@ -2224,12 +1591,6 @@ instance : Module (HahnSeries Γ R) (SummableFamily Γ R α)
   smul_add x s t := ext fun a => mul_add _ _ _
   mul_smul x y s := ext fun a => mul_assoc _ _ _
 
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 @[simp]
 theorem hsum_smul {x : HahnSeries Γ R} {s : SummableFamily Γ R α} : (x • s).hsum = x * s.hsum :=
   by
@@ -2264,12 +1625,6 @@ theorem hsum_smul {x : HahnSeries Γ R} {s : SummableFamily Γ R α} : (x • s)
         MulZeroClass.mul_zero]
 #align hahn_series.summable_family.hsum_smul HahnSeries.SummableFamily.hsum_smul
 
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 /-- The summation of a `summable_family` as a `linear_map`. -/
 @[simps]
 def lsum : SummableFamily Γ R α →ₗ[HahnSeries Γ R] HahnSeries Γ R
@@ -2279,9 +1634,6 @@ def lsum : SummableFamily Γ R α →ₗ[HahnSeries Γ R] HahnSeries Γ R
   map_smul' _ _ := hsum_smul
 #align hahn_series.summable_family.lsum HahnSeries.SummableFamily.lsum
 
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 @[simp]
 theorem hsum_sub {R : Type _} [Ring R] {s t : SummableFamily Γ R α} :
     (s - t).hsum = s.hsum - t.hsum := by
@@ -2294,12 +1646,6 @@ section OfFinsupp
 
 variable [PartialOrder Γ] [AddCommMonoid R] {α : Type _}
 
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 /-- A family with only finitely many nonzero elements is summable. -/
 def ofFinsupp (f : α →₀ HahnSeries Γ R) : SummableFamily Γ R α
     where
@@ -2322,23 +1668,11 @@ def ofFinsupp (f : α →₀ HahnSeries Γ R) : SummableFamily Γ R α
     simp [ha]
 #align hahn_series.summable_family.of_finsupp HahnSeries.SummableFamily.ofFinsupp
 
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 @[simp]
 theorem coe_ofFinsupp {f : α →₀ HahnSeries Γ R} : ⇑(SummableFamily.ofFinsupp f) = f :=
   rfl
 #align hahn_series.summable_family.coe_of_finsupp HahnSeries.SummableFamily.coe_ofFinsupp
 
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 @[simp]
 theorem hsum_ofFinsupp {f : α →₀ HahnSeries Γ R} : (ofFinsupp f).hsum = f.Sum fun a => id :=
   by
@@ -2385,23 +1719,11 @@ def embDomain (s : SummableFamily Γ R α) (f : α ↪ β) : SummableFamily Γ R
 
 variable (s : SummableFamily Γ R α) (f : α ↪ β) {a : α} {b : β}
 
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 theorem embDomain_apply :
     s.embDomain f b = if h : b ∈ Set.range f then s (Classical.choose h) else 0 :=
   rfl
 #align hahn_series.summable_family.emb_domain_apply HahnSeries.SummableFamily.embDomain_apply
 
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 @[simp]
 theorem embDomain_image : s.embDomain f (f a) = s a :=
   by
@@ -2409,23 +1731,11 @@ theorem embDomain_image : s.embDomain f (f a) = s a :=
   exact congr rfl (f.injective (Classical.choose_spec (Set.mem_range_self a)))
 #align hahn_series.summable_family.emb_domain_image HahnSeries.SummableFamily.embDomain_image
 
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 @[simp]
 theorem embDomain_notin_range (h : b ∉ Set.range f) : s.embDomain f b = 0 := by
   rw [emb_domain_apply, dif_neg h]
 #align hahn_series.summable_family.emb_domain_notin_range HahnSeries.SummableFamily.embDomain_notin_range
 
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 @[simp]
 theorem hsum_embDomain : (s.embDomain f).hsum = s.hsum :=
   by
@@ -2440,12 +1750,6 @@ section powers
 
 variable [LinearOrderedCancelAddCommMonoid Γ] [CommRing R] [IsDomain R]
 
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-Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.powers HahnSeries.SummableFamily.powersₓ'. -/
 /-- The powers of an element of positive valuation form a summable family. -/
 def powers (x : HahnSeries Γ R) (hx : 0 < addVal Γ R x) : SummableFamily Γ R ℕ
     where
@@ -2480,17 +1784,11 @@ def powers (x : HahnSeries Γ R) (hx : 0 < addVal Γ R x) : SummableFamily Γ R
 
 variable {x : HahnSeries Γ R} (hx : 0 < addVal Γ R x)
 
-/- warning: hahn_series.summable_family.coe_powers -> HahnSeries.SummableFamily.coe_powers is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.coe_powers HahnSeries.SummableFamily.coe_powersₓ'. -/
 @[simp]
 theorem coe_powers : ⇑(powers x hx) = pow x :=
   rfl
 #align hahn_series.summable_family.coe_powers HahnSeries.SummableFamily.coe_powers
 
-/- warning: hahn_series.summable_family.emb_domain_succ_smul_powers -> HahnSeries.SummableFamily.embDomain_succ_smul_powers is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.emb_domain_succ_smul_powers HahnSeries.SummableFamily.embDomain_succ_smul_powersₓ'. -/
 theorem embDomain_succ_smul_powers :
     (x • powers x hx).embDomain ⟨Nat.succ, Nat.succ_injective⟩ =
       powers x hx - ofFinsupp (Finsupp.single 0 1) :=
@@ -2506,9 +1804,6 @@ theorem embDomain_succ_smul_powers :
     rw [Finsupp.single_eq_of_ne n.succ_ne_zero.symm, sub_zero]
 #align hahn_series.summable_family.emb_domain_succ_smul_powers HahnSeries.SummableFamily.embDomain_succ_smul_powers
 
-/- warning: hahn_series.summable_family.one_sub_self_mul_hsum_powers -> HahnSeries.SummableFamily.one_sub_self_mul_hsum_powers is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.one_sub_self_mul_hsum_powers HahnSeries.SummableFamily.one_sub_self_mul_hsum_powersₓ'. -/
 theorem one_sub_self_mul_hsum_powers : (1 - x) * (powers x hx).hsum = 1 :=
   by
   rw [← hsum_smul, sub_smul, one_smul, hsum_sub, ←
@@ -2528,9 +1823,6 @@ section IsDomain
 
 variable [CommRing R] [IsDomain R]
 
-/- warning: hahn_series.unit_aux -> HahnSeries.unit_aux is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align hahn_series.unit_aux HahnSeries.unit_auxₓ'. -/
 theorem unit_aux (x : HahnSeries Γ R) {r : R} (hr : r * x.coeff x.order = 1) :
     0 < addVal Γ R (1 - C r * single (-x.order) 1 * x) :=
   by
@@ -2553,12 +1845,6 @@ theorem unit_aux (x : HahnSeries Γ R) {r : R} (hr : r * x.coeff x.order = 1) :
       ← add_neg_self x.order, single_mul_coeff_add, one_mul, hr, sub_self]
 #align hahn_series.unit_aux HahnSeries.unit_aux
 
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-Case conversion may be inaccurate. Consider using '#align hahn_series.is_unit_iff HahnSeries.isUnit_iffₓ'. -/
 theorem isUnit_iff {x : HahnSeries Γ R} : IsUnit x ↔ IsUnit (x.coeff x.order) :=
   by
   constructor

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

@@ -505,9 +505,7 @@ but is expected to have type
   forall {Γ : Type.{u3}} {R : Type.{u1}} [_inst_1 : PartialOrder.{u3} Γ] [_inst_2 : Zero.{u1} R] {Γ' : Type.{u2}} [_inst_3 : PartialOrder.{u2} Γ'] {f : OrderEmbedding.{u3, u2} Γ Γ' (Preorder.toLE.{u3} Γ (PartialOrder.toPreorder.{u3} Γ _inst_1)) (Preorder.toLE.{u2} Γ' (PartialOrder.toPreorder.{u2} Γ' _inst_3))}, Eq.{max (succ u1) (succ u2)} (HahnSeries.{u2, u1} Γ' R _inst_3 _inst_2) (HahnSeries.embDomain.{u3, u1, u2} Γ R _inst_1 _inst_2 Γ' _inst_3 f (OfNat.ofNat.{max u3 u1} (HahnSeries.{u3, u1} Γ R _inst_1 _inst_2) 0 (Zero.toOfNat0.{max u3 u1} (HahnSeries.{u3, u1} Γ R _inst_1 _inst_2) (HahnSeries.instZeroHahnSeries.{u3, u1} Γ R _inst_1 _inst_2)))) (OfNat.ofNat.{max u1 u2} (HahnSeries.{u2, u1} Γ' R _inst_3 _inst_2) 0 (Zero.toOfNat0.{max u1 u2} (HahnSeries.{u2, u1} Γ' R _inst_3 _inst_2) (HahnSeries.instZeroHahnSeries.{u2, u1} Γ' R _inst_3 _inst_2)))
 Case conversion may be inaccurate. Consider using '#align hahn_series.emb_domain_zero HahnSeries.embDomain_zeroₓ'. -/
 @[simp]
-theorem embDomain_zero {f : Γ ↪o Γ'} : embDomain f (0 : HahnSeries Γ R) = 0 :=
-  by
-  ext
+theorem embDomain_zero {f : Γ ↪o Γ'} : embDomain f (0 : HahnSeries Γ R) = 0 := by ext;
   simp [emb_domain_notin_image_support]
 #align hahn_series.emb_domain_zero HahnSeries.embDomain_zero
 
@@ -565,15 +563,9 @@ instance : Add (HahnSeries Γ R)
 instance : AddMonoid (HahnSeries Γ R) where
   zero := 0
   add := (· + ·)
-  add_assoc x y z := by
-    ext
-    apply add_assoc
-  zero_add x := by
-    ext
-    apply zero_add
-  add_zero x := by
-    ext
-    apply add_zero
+  add_assoc x y z := by ext; apply add_assoc
+  zero_add x := by ext; apply zero_add
+  add_zero x := by ext; apply add_zero
 
 /- warning: hahn_series.add_coeff' -> HahnSeries.add_coeff' is a dubious translation:
 lean 3 declaration is
@@ -634,10 +626,7 @@ Case conversion may be inaccurate. Consider using '#align hahn_series.single.add
 /-- `single` as an additive monoid/group homomorphism -/
 @[simps]
 def single.addMonoidHom (a : Γ) : R →+ HahnSeries Γ R :=
-  { single a with
-    map_add' := fun x y => by
-      ext b
-      by_cases h : b = a <;> simp [h] }
+  { single a with map_add' := fun x y => by ext b; by_cases h : b = a <;> simp [h] }
 #align hahn_series.single.add_monoid_hom HahnSeries.single.addMonoidHom
 
 /- warning: hahn_series.coeff.add_monoid_hom -> HahnSeries.coeff.addMonoidHom is a dubious translation:
@@ -680,10 +669,7 @@ end Domain
 end AddMonoid
 
 instance [AddCommMonoid R] : AddCommMonoid (HahnSeries Γ R) :=
-  { HahnSeries.addMonoid with
-    add_comm := fun x y => by
-      ext
-      apply add_comm }
+  { HahnSeries.addMonoid with add_comm := fun x y => by ext; apply add_comm }
 
 section AddGroup
 
@@ -697,9 +683,7 @@ instance : AddGroup (HahnSeries Γ R) :=
         isPwo_support' := by
           rw [Function.support_neg]
           exact x.is_pwo_support }
-    add_left_neg := fun x => by
-      ext
-      apply add_left_neg }
+    add_left_neg := fun x => by ext; apply add_left_neg }
 
 /- warning: hahn_series.neg_coeff' -> HahnSeries.neg_coeff' is a dubious translation:
 lean 3 declaration is
@@ -729,10 +713,7 @@ but is expected to have type
   forall {Γ : Type.{u2}} {R : Type.{u1}} [_inst_1 : PartialOrder.{u2} Γ] [_inst_2 : AddGroup.{u1} R] {x : HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))}, Eq.{succ u2} (Set.{u2} Γ) (HahnSeries.support.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2)))) (Neg.neg.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (NegZeroClass.toNeg.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (SubNegZeroMonoid.toNegZeroClass.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (SubtractionMonoid.toSubNegZeroMonoid.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (AddGroup.toSubtractionMonoid.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (HahnSeries.instAddGroupHahnSeriesToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoid.{u2, u1} Γ R _inst_1 _inst_2))))) x)) (HahnSeries.support.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2)))) x)
 Case conversion may be inaccurate. Consider using '#align hahn_series.support_neg HahnSeries.support_negₓ'. -/
 @[simp]
-theorem support_neg {x : HahnSeries Γ R} : (-x).support = x.support :=
-  by
-  ext
-  simp
+theorem support_neg {x : HahnSeries Γ R} : (-x).support = x.support := by ext; simp
 #align hahn_series.support_neg HahnSeries.support_neg
 
 /- warning: hahn_series.sub_coeff' -> HahnSeries.sub_coeff' is a dubious translation:
@@ -742,9 +723,7 @@ but is expected to have type
   forall {Γ : Type.{u2}} {R : Type.{u1}} [_inst_1 : PartialOrder.{u2} Γ] [_inst_2 : AddGroup.{u1} R] {x : HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))} {y : HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))}, Eq.{max (succ u2) (succ u1)} (Γ -> R) (HahnSeries.coeff.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2)))) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (instHSub.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (SubNegMonoid.toSub.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (AddGroup.toSubNegMonoid.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (HahnSeries.instAddGroupHahnSeriesToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoid.{u2, u1} Γ R _inst_1 _inst_2)))) x y)) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (Γ -> R) (Γ -> R) (Γ -> R) (instHSub.{max u2 u1} (Γ -> R) (Pi.instSub.{u2, u1} Γ (fun (ᾰ : Γ) => R) (fun (i : Γ) => SubNegMonoid.toSub.{u1} R (AddGroup.toSubNegMonoid.{u1} R _inst_2)))) (HahnSeries.coeff.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2)))) x) (HahnSeries.coeff.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2)))) y))
 Case conversion may be inaccurate. Consider using '#align hahn_series.sub_coeff' HahnSeries.sub_coeff'ₓ'. -/
 @[simp]
-theorem sub_coeff' {x y : HahnSeries Γ R} : (x - y).coeff = x.coeff - y.coeff :=
-  by
-  ext
+theorem sub_coeff' {x y : HahnSeries Γ R} : (x - y).coeff = x.coeff - y.coeff := by ext;
   simp [sub_eq_add_neg]
 #align hahn_series.sub_coeff' HahnSeries.sub_coeff'
 
@@ -767,8 +746,7 @@ Case conversion may be inaccurate. Consider using '#align hahn_series.order_neg
 @[simp]
 theorem order_neg [Zero Γ] {f : HahnSeries Γ R} : (-f).order = f.order :=
   by
-  by_cases hf : f = 0
-  · simp only [hf, neg_zero]
+  by_cases hf : f = 0; · simp only [hf, neg_zero]
   simp only [order, support_neg, neg_eq_zero]
 #align hahn_series.order_neg HahnSeries.order_neg
 
@@ -802,30 +780,18 @@ theorem smul_coeff {r : R} {x : HahnSeries Γ V} {a : Γ} : (r • x).coeff a =
 instance : DistribMulAction R (HahnSeries Γ V)
     where
   smul := (· • ·)
-  one_smul _ := by
-    ext
-    simp
-  smul_zero _ := by
-    ext
-    simp
-  smul_add _ _ _ := by
-    ext
-    simp [smul_add]
-  mul_smul _ _ _ := by
-    ext
-    simp [mul_smul]
+  one_smul _ := by ext; simp
+  smul_zero _ := by ext; simp
+  smul_add _ _ _ := by ext; simp [smul_add]
+  mul_smul _ _ _ := by ext; simp [mul_smul]
 
 variable {S : Type _} [Monoid S] [DistribMulAction S V]
 
 instance [SMul R S] [IsScalarTower R S V] : IsScalarTower R S (HahnSeries Γ V) :=
-  ⟨fun r s a => by
-    ext
-    simp⟩
+  ⟨fun r s a => by ext; simp⟩
 
 instance [SMulCommClass R S V] : SMulCommClass R S (HahnSeries Γ V) :=
-  ⟨fun r s a => by
-    ext
-    simp [smul_comm]⟩
+  ⟨fun r s a => by ext; simp [smul_comm]⟩
 
 end DistribMulAction
 
@@ -836,12 +802,8 @@ variable [PartialOrder Γ] [Semiring R] {V : Type _} [AddCommMonoid V] [Module R
 instance : Module R (HahnSeries Γ V) :=
   {
     HahnSeries.distribMulAction with
-    zero_smul := fun _ => by
-      ext
-      simp
-    add_smul := fun _ _ _ => by
-      ext
-      simp [add_smul] }
+    zero_smul := fun _ => by ext; simp
+    add_smul := fun _ _ _ => by ext; simp [add_smul] }
 
 /- warning: hahn_series.single.linear_map -> HahnSeries.single.linearMap is a dubious translation:
 lean 3 declaration is
@@ -852,10 +814,7 @@ Case conversion may be inaccurate. Consider using '#align hahn_series.single.lin
 /-- `single` as a linear map -/
 @[simps]
 def single.linearMap (a : Γ) : R →ₗ[R] HahnSeries Γ R :=
-  { single.addMonoidHom a with
-    map_smul' := fun r s => by
-      ext b
-      by_cases h : b = a <;> simp [h] }
+  { single.addMonoidHom a with map_smul' := fun r s => by ext b; by_cases h : b = a <;> simp [h] }
 #align hahn_series.single.linear_map HahnSeries.single.linearMap
 
 /- warning: hahn_series.coeff.linear_map -> HahnSeries.coeff.linearMap is a dubious translation:
@@ -1151,9 +1110,7 @@ theorem single_zero_mul_coeff [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSer
 Case conversion may be inaccurate. Consider using '#align hahn_series.single_zero_mul_eq_smul HahnSeries.single_zero_mul_eq_smulₓ'. -/
 @[simp]
 theorem single_zero_mul_eq_smul [Semiring R] {r : R} {x : HahnSeries Γ R} :
-    single 0 r * x = r • x := by
-  ext
-  exact single_zero_mul_coeff
+    single 0 r * x = r • x := by ext; exact single_zero_mul_coeff
 #align hahn_series.single_zero_mul_eq_smul HahnSeries.single_zero_mul_eq_smul
 
 /- warning: hahn_series.support_mul_subset_add_support -> HahnSeries.support_mul_subset_add_support is a dubious translation:
@@ -1219,12 +1176,8 @@ instance [NonUnitalNonAssocSemiring R] : NonUnitalNonAssocSemiring (HahnSeries 
     zero := 0
     add := (· + ·)
     mul := (· * ·)
-    zero_mul := fun _ => by
-      ext
-      simp
-    mul_zero := fun _ => by
-      ext
-      simp }
+    zero_mul := fun _ => by ext; simp
+    mul_zero := fun _ => by ext; simp }
 
 instance [NonUnitalSemiring R] : NonUnitalSemiring (HahnSeries Γ R) :=
   { HahnSeries.nonUnitalNonAssocSemiring with
@@ -1240,12 +1193,8 @@ instance [NonAssocSemiring R] : NonAssocSemiring (HahnSeries Γ R) :=
     one := 1
     add := (· + ·)
     mul := (· * ·)
-    one_mul := fun x => by
-      ext
-      exact single_zero_mul_coeff.trans (one_mul _)
-    mul_one := fun x => by
-      ext
-      exact mul_single_zero_coeff.trans (mul_one _) }
+    one_mul := fun x => by ext; exact single_zero_mul_coeff.trans (one_mul _)
+    mul_one := fun x => by ext; exact mul_single_zero_coeff.trans (mul_one _) }
 
 instance [Semiring R] : Semiring (HahnSeries Γ R) :=
   { HahnSeries.nonAssocSemiring,
@@ -1291,8 +1240,7 @@ instance {Γ} [LinearOrderedCancelAddCommMonoid Γ] [NonUnitalNonAssocSemiring R
     where eq_zero_or_eq_zero_of_mul_eq_zero x y xy :=
     by
     by_cases hx : x = 0
-    · left
-      exact hx
+    · left; exact hx
     right
     contrapose! xy
     rw [HahnSeries.ext_iff, Function.funext_iff, not_forall]
@@ -1375,9 +1323,7 @@ def C : R →+* HahnSeries Γ R where
   toFun := single 0
   map_zero' := single_eq_zero
   map_one' := rfl
-  map_add' x y := by
-    ext a
-    by_cases h : a = 0 <;> simp [h]
+  map_add' x y := by ext a; by_cases h : a = 0 <;> simp [h]
   map_mul' x y := by rw [single_mul_single, zero_add]
 #align hahn_series.C HahnSeries.C
 
@@ -1542,11 +1488,9 @@ variable [CommSemiring R] {A : Type _} [Semiring A] [Algebra R A]
 instance : Algebra R (HahnSeries Γ A)
     where
   toRingHom := C.comp (algebraMap R A)
-  smul_def' r x := by
-    ext
-    simp
+  smul_def' r x := by ext; simp
   commutes' r x := by
-    ext
+    ext;
     simp only [smul_coeff, single_zero_mul_eq_smul, RingHom.coe_comp, RingHom.toFun_eq_coe, C_apply,
       Function.comp_apply, algebraMap_smul, mul_single_zero_coeff]
     rw [← Algebra.commutes, Algebra.smul_def]
@@ -1616,15 +1560,9 @@ def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R
     where
   toFun f := PowerSeries.mk f.coeff
   invFun f := ⟨fun n => PowerSeries.coeff R n f, (Nat.lt_wfRel.IsWf _).IsPwo⟩
-  left_inv f := by
-    ext
-    simp
-  right_inv f := by
-    ext
-    simp
-  map_add' f g := by
-    ext
-    simp
+  left_inv f := by ext; simp
+  right_inv f := by ext; simp
+  map_add' f g := by ext; simp
   map_mul' f g := by
     ext n
     simp only [PowerSeries.coeff_mul, PowerSeries.coeff_mk, mul_coeff, is_pwo_support]
@@ -1747,8 +1685,7 @@ theorem ofPowerSeries_X_pow {R} [CommSemiring R] (n : ℕ) :
   by
   rw [RingHom.map_pow]
   induction' n with n ih
-  · simp
-    rfl
+  · simp; rfl
   rw [pow_succ, ih, of_power_series_X, mul_comm, single_mul_single, one_mul, Nat.cast_succ]
 #align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_X_pow
 
@@ -1769,15 +1706,9 @@ def toMvPowerSeries {σ : Type _} [Fintype σ] : HahnSeries (σ →₀ ℕ) R 
     where
   toFun f := f.coeff
   invFun f := ⟨(f : (σ →₀ ℕ) → R), Finsupp.isPwo _⟩
-  left_inv f := by
-    ext
-    simp
-  right_inv f := by
-    ext
-    simp
-  map_add' f g := by
-    ext
-    simp
+  left_inv f := by ext; simp
+  right_inv f := by ext; simp
+  map_add' f g := by ext; simp
   map_mul' f g := by
     ext n
     simp only [MvPowerSeries.coeff_mul]
@@ -2119,18 +2050,10 @@ instance : AddCommMonoid (SummableFamily Γ R α)
     where
   add := (· + ·)
   zero := 0
-  zero_add s := by
-    ext
-    apply zero_add
-  add_zero s := by
-    ext
-    apply add_zero
-  add_comm s t := by
-    ext
-    apply add_comm
-  add_assoc r s t := by
-    ext
-    apply add_assoc
+  zero_add s := by ext; apply zero_add
+  add_zero s := by ext; apply add_zero
+  add_comm s t := by ext; apply add_comm
+  add_assoc r s t := by ext; apply add_assoc
 
 /- warning: hahn_series.summable_family.hsum -> HahnSeries.SummableFamily.hsum is a dubious translation:
 lean 3 declaration is
@@ -2202,16 +2125,12 @@ instance : AddCommGroup (SummableFamily Γ R α) :=
     SummableFamily.addCommMonoid with
     neg := fun s =>
       { toFun := fun a => -s a
-        isPwo_iUnion_support' := by
-          simp_rw [support_neg]
-          exact s.is_pwo_Union_support'
+        isPwo_iUnion_support' := by simp_rw [support_neg]; exact s.is_pwo_Union_support'
         finite_co_support' := fun g =>
           by
           simp only [neg_coeff', Pi.neg_apply, Ne.def, neg_eq_zero]
           exact s.finite_co_support g }
-    add_left_neg := fun a => by
-      ext
-      apply add_left_neg }
+    add_left_neg := fun a => by ext; apply add_left_neg }
 
 /- warning: hahn_series.summable_family.coe_neg -> HahnSeries.SummableFamily.coe_neg is a dubious translation:
 lean 3 declaration is

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

@@ -611,10 +611,7 @@ theorem support_add_subset {x y : HahnSeries Γ R} : support (x + y) ⊆ support
 #align hahn_series.support_add_subset HahnSeries.support_add_subset
 
 /- warning: hahn_series.min_order_le_order_add -> HahnSeries.min_order_le_order_add is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_2 : AddMonoid.{u1} R] {Γ : Type.{u2}} [_inst_3 : LinearOrderedCancelAddCommMonoid.{u2} Γ] {x : HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R _inst_2))} {y : HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R _inst_2))}, (Ne.{succ (max u2 u1)} (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R _inst_2))) (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ 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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.min_order_le_order_add HahnSeries.min_order_le_order_addₓ'. -/
 theorem min_order_le_order_add {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x y : HahnSeries Γ R}
     (hxy : x + y ≠ 0) : min x.order y.order ≤ (x + y).order :=
@@ -1150,10 +1147,7 @@ theorem single_zero_mul_coeff [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSer
 #align hahn_series.single_zero_mul_coeff HahnSeries.single_zero_mul_coeff
 
 /- warning: hahn_series.single_zero_mul_eq_smul -> HahnSeries.single_zero_mul_eq_smul is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.single_zero_mul_eq_smul HahnSeries.single_zero_mul_eq_smulₓ'. -/
 @[simp]
 theorem single_zero_mul_eq_smul [Semiring R] {r : R} {x : HahnSeries Γ R} :
@@ -1180,10 +1174,7 @@ theorem support_mul_subset_add_support [NonUnitalNonAssocSemiring R] {x y : Hahn
 #align hahn_series.support_mul_subset_add_support HahnSeries.support_mul_subset_add_support
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.mul_coeff_order_add_order HahnSeries.mul_coeff_order_add_orderₓ'. -/
 theorem mul_coeff_order_add_order {Γ} [LinearOrderedCancelAddCommMonoid Γ]
     [NonUnitalNonAssocSemiring R] (x y : HahnSeries Γ R) :
@@ -1221,7 +1212,6 @@ private theorem mul_assoc' [NonUnitalSemiring R] (x y z : HahnSeries Γ R) :
         H2 ((mul_assoc _ _ _).symm.trans Con), ⟨rfl, rfl⟩, rfl, rfl⟩
   · rintro ⟨⟨i, j⟩, ⟨k, l⟩⟩ H1 H2
     simp [mul_assoc]
-#align hahn_series.mul_assoc' hahn_series.mul_assoc'
 
 instance [NonUnitalNonAssocSemiring R] : NonUnitalNonAssocSemiring (HahnSeries Γ R) :=
   { HahnSeries.addCommMonoid,
@@ -1315,10 +1305,7 @@ instance {Γ} [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R] :
   NoZeroDivisors.to_isDomain _
 
 /- warning: hahn_series.order_mul -> HahnSeries.order_mul is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.order_mul HahnSeries.order_mulₓ'. -/
 @[simp]
 theorem order_mul {Γ} [LinearOrderedCancelAddCommMonoid Γ] [NonUnitalNonAssocSemiring R]
@@ -1354,10 +1341,7 @@ section NonUnitalNonAssocSemiring
 variable [NonUnitalNonAssocSemiring R]
 
 /- warning: hahn_series.single_mul_single -> HahnSeries.single_mul_single is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.single_mul_single HahnSeries.single_mul_singleₓ'. -/
 @[simp]
 theorem single_mul_single {a b : Γ} {r s : R} : single a r * single b s = single (a + b) (r * s) :=
@@ -1466,10 +1450,7 @@ section Semiring
 variable [Semiring R]
 
 /- warning: hahn_series.C_mul_eq_smul -> HahnSeries.C_mul_eq_smul is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.C_mul_eq_smul HahnSeries.C_mul_eq_smulₓ'. -/
 theorem C_mul_eq_smul {r : R} {x : HahnSeries Γ R} : C r * x = r • x :=
   single_zero_mul_eq_smul
@@ -1482,10 +1463,7 @@ section Domain
 variable {Γ' : Type _} [OrderedCancelAddCommMonoid Γ']
 
 /- warning: hahn_series.emb_domain_mul -> HahnSeries.embDomain_mul is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.emb_domain_mul HahnSeries.embDomain_mulₓ'. -/
 theorem embDomain_mul [NonUnitalNonAssocSemiring R] (f : Γ ↪o Γ')
     (hf : ∀ x y, f (x + y) = f x + f y) (x y : HahnSeries Γ R) :
@@ -1525,10 +1503,7 @@ theorem embDomain_mul [NonUnitalNonAssocSemiring R] (f : Γ ↪o Γ')
 #align hahn_series.emb_domain_mul HahnSeries.embDomain_mul
 
 /- warning: hahn_series.emb_domain_one -> HahnSeries.embDomain_one is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align hahn_series.emb_domain_one HahnSeries.embDomain_oneₓ'. -/
 theorem embDomain_one [NonAssocSemiring R] (f : Γ ↪o Γ') (hf : f 0 = 0) :
     embDomain f (1 : HahnSeries Γ R) = (1 : HahnSeries Γ' R) :=
@@ -1536,10 +1511,7 @@ theorem embDomain_one [NonAssocSemiring R] (f : Γ ↪o Γ') (hf : f 0 = 0) :
 #align hahn_series.emb_domain_one HahnSeries.embDomain_one
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.emb_domain_ring_hom HahnSeries.embDomainRingHomₓ'. -/
 /-- Extending the domain of Hahn series is a ring homomorphism. -/
 @[simps]
@@ -1554,10 +1526,7 @@ def embDomainRingHom [NonAssocSemiring R] (f : Γ →+ Γ') (hfi : Function.Inje
 #align hahn_series.emb_domain_ring_hom HahnSeries.embDomainRingHom
 
 /- warning: hahn_series.emb_domain_ring_hom_C -> HahnSeries.embDomainRingHom_C is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.emb_domain_ring_hom_C HahnSeries.embDomainRingHom_Cₓ'. -/
 theorem embDomainRingHom_C [NonAssocSemiring R] {f : Γ →+ Γ'} {hfi : Function.Injective f}
     {hf : ∀ g g' : Γ, f g ≤ f g' ↔ g ≤ g'} {r : R} : embDomainRingHom f hfi hf (C r) = C r :=
@@ -1593,10 +1562,7 @@ theorem C_eq_algebraMap : C = algebraMap R (HahnSeries Γ R) :=
 #align hahn_series.C_eq_algebra_map HahnSeries.C_eq_algebraMap
 
 /- warning: hahn_series.algebra_map_apply -> HahnSeries.algebraMap_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.algebra_map_apply HahnSeries.algebraMap_applyₓ'. -/
 theorem algebraMap_apply {r : R} : algebraMap R (HahnSeries Γ A) r = C (algebraMap R A r) :=
   rfl
@@ -1619,10 +1585,7 @@ section Domain
 variable {Γ' : Type _} [OrderedCancelAddCommMonoid Γ']
 
 /- warning: hahn_series.emb_domain_alg_hom -> HahnSeries.embDomainAlgHom is a dubious translation:
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_inst_5)))))))) f g) (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} (AddMonoidHom.{u1, u4} Γ Γ' (AddMonoid.toAddZeroClass.{u1} Γ (AddRightCancelMonoid.toAddMonoid.{u1} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ _inst_1))))) (AddMonoid.toAddZeroClass.{u4} Γ' (AddRightCancelMonoid.toAddMonoid.{u4} Γ' (AddCancelMonoid.toAddRightCancelMonoid.{u4} Γ' (AddCancelCommMonoid.toAddCancelMonoid.{u4} Γ' (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u4} Γ' _inst_5)))))) Γ (fun (_x : Γ) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Γ) => Γ') _x) (AddHomClass.toFunLike.{max u1 u4, u1, u4} (AddMonoidHom.{u1, u4} Γ Γ' (AddMonoid.toAddZeroClass.{u1} Γ (AddRightCancelMonoid.toAddMonoid.{u1} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ _inst_1))))) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.emb_domain_alg_hom HahnSeries.embDomainAlgHomₓ'. -/
 /-- Extending the domain of Hahn series is an algebra homomorphism. -/
 @[simps]
@@ -1675,10 +1638,7 @@ def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R
 #align hahn_series.to_power_series HahnSeries.toPowerSeries
 
 /- warning: hahn_series.coeff_to_power_series -> HahnSeries.coeff_toPowerSeries is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_to_power_series HahnSeries.coeff_toPowerSeriesₓ'. -/
 theorem coeff_toPowerSeries {f : HahnSeries ℕ R} {n : ℕ} :
     PowerSeries.coeff R n f.toPowerSeries = f.coeff n :=
@@ -1686,10 +1646,7 @@ theorem coeff_toPowerSeries {f : HahnSeries ℕ R} {n : ℕ} :
 #align hahn_series.coeff_to_power_series HahnSeries.coeff_toPowerSeries
 
 /- warning: hahn_series.coeff_to_power_series_symm -> HahnSeries.coeff_toPowerSeries_symm is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_to_power_series_symm HahnSeries.coeff_toPowerSeries_symmₓ'. -/
 theorem coeff_toPowerSeries_symm {f : PowerSeries R} {n : ℕ} :
     (HahnSeries.toPowerSeries.symm f).coeff n = PowerSeries.coeff R n f :=
@@ -1724,10 +1681,7 @@ theorem ofPowerSeries_injective : Function.Injective (ofPowerSeries Γ R) :=
 #align hahn_series.of_power_series_injective HahnSeries.ofPowerSeries_injective
 
 /- warning: hahn_series.of_power_series_apply -> HahnSeries.ofPowerSeries_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_apply HahnSeries.ofPowerSeries_applyₓ'. -/
 @[simp]
 theorem ofPowerSeries_apply (x : PowerSeries R) :
@@ -1742,20 +1696,14 @@ theorem ofPowerSeries_apply (x : PowerSeries R) :
 #align hahn_series.of_power_series_apply HahnSeries.ofPowerSeries_apply
 
 /- warning: hahn_series.of_power_series_apply_coeff -> HahnSeries.ofPowerSeries_apply_coeff is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_apply_coeff HahnSeries.ofPowerSeries_apply_coeffₓ'. -/
 theorem ofPowerSeries_apply_coeff (x : PowerSeries R) (n : ℕ) :
     (ofPowerSeries Γ R x).coeff n = PowerSeries.coeff R n x := by simp
 #align hahn_series.of_power_series_apply_coeff HahnSeries.ofPowerSeries_apply_coeff
 
 /- warning: hahn_series.of_power_series_C -> HahnSeries.ofPowerSeries_C is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_C HahnSeries.ofPowerSeries_Cₓ'. -/
 @[simp]
 theorem ofPowerSeries_C (r : R) : ofPowerSeries Γ R (PowerSeries.C R r) = HahnSeries.C r :=
@@ -1773,10 +1721,7 @@ theorem ofPowerSeries_C (r : R) : ofPowerSeries Γ R (PowerSeries.C R r) = HahnS
 #align hahn_series.of_power_series_C HahnSeries.ofPowerSeries_C
 
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 Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_X HahnSeries.ofPowerSeries_Xₓ'. -/
 @[simp]
 theorem ofPowerSeries_X : ofPowerSeries Γ R PowerSeries.X = single 1 1 :=
@@ -1794,10 +1739,7 @@ theorem ofPowerSeries_X : ofPowerSeries Γ R PowerSeries.X = single 1 1 :=
 #align hahn_series.of_power_series_X HahnSeries.ofPowerSeries_X
 
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(PowerSeries.instSemiringPowerSeries.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (HahnSeries.ofPowerSeries.{u1, u2} Γ R (CommSemiring.toSemiring.{u2} R _inst_3) _inst_2) (HPow.hPow.{u2, 0, u2} (PowerSeries.{u2} R) Nat (PowerSeries.{u2} R) (instHPow.{u2, 0} (PowerSeries.{u2} R) Nat (Monoid.Pow.{u2} (PowerSeries.{u2} R) (MonoidWithZero.toMonoid.{u2} (PowerSeries.{u2} R) (Semiring.toMonoidWithZero.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (PowerSeries.X.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (ZeroHom.{u2, max u2 u1} R (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} 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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_X_powₓ'. -/
 @[simp]
 theorem ofPowerSeries_X_pow {R} [CommSemiring R] (n : ℕ) :
@@ -1853,10 +1795,7 @@ def toMvPowerSeries {σ : Type _} [Fintype σ] : HahnSeries (σ →₀ ℕ) R 
 variable {σ : Type _} [Fintype σ]
 
 /- warning: hahn_series.coeff_to_mv_power_series -> HahnSeries.coeff_toMvPowerSeries is a dubious translation:
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(Semiring.toNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.instSemiringMvPowerSeries.{u2, u1} σ R _inst_1))))))))) (HahnSeries.toMvPowerSeries.{u1, u2} R _inst_1 σ _inst_3) f)) (HahnSeries.coeff.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) f n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_to_mv_power_series HahnSeries.coeff_toMvPowerSeriesₓ'. -/
 theorem coeff_toMvPowerSeries {f : HahnSeries (σ →₀ ℕ) R} {n : σ →₀ ℕ} :
     MvPowerSeries.coeff R n f.toMvPowerSeries = f.coeff n :=
@@ -1864,10 +1803,7 @@ theorem coeff_toMvPowerSeries {f : HahnSeries (σ →₀ ℕ) R} {n : σ →₀
 #align hahn_series.coeff_to_mv_power_series HahnSeries.coeff_toMvPowerSeries
 
 /- warning: hahn_series.coeff_to_mv_power_series_symm -> HahnSeries.coeff_toMvPowerSeries_symm is a dubious translation:
-lean 3 declaration is
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R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.instModuleMvPowerSeriesInstAddCommMonoidMvPowerSeries.{u2, u1, u1} σ R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.coeff.{u2, u1} σ R _inst_1 n) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_to_mv_power_series_symm HahnSeries.coeff_toMvPowerSeries_symmₓ'. -/
 theorem coeff_toMvPowerSeries_symm {f : MvPowerSeries σ R} {n : σ →₀ ℕ} :
     (HahnSeries.toMvPowerSeries.symm f).coeff n = MvPowerSeries.coeff R n f :=
@@ -1932,10 +1868,7 @@ instance powerSeriesAlgebra {S : Type _} [CommSemiring S] [Algebra S (PowerSerie
 variable {R} {S : Type _} [CommSemiring S] [Algebra S (PowerSeries R)]
 
 /- warning: hahn_series.algebra_map_apply' -> HahnSeries.algebraMap_apply' is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.algebra_map_apply' HahnSeries.algebraMap_apply'ₓ'. -/
 theorem algebraMap_apply' (x : S) :
     algebraMap S (HahnSeries Γ R) x = ofPowerSeries Γ R (algebraMap S (PowerSeries R) x) :=
@@ -1943,10 +1876,7 @@ theorem algebraMap_apply' (x : S) :
 #align hahn_series.algebra_map_apply' HahnSeries.algebraMap_apply'
 
 /- warning: polynomial.algebra_map_hahn_series_apply -> Polynomial.algebraMap_hahnSeries_apply is a dubious translation:
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(HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_4) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_4) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_4) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_4) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_4) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))))))) (HahnSeries.ofPowerSeries.{u1, u2} Γ R (CommSemiring.toSemiring.{u2} R _inst_1) _inst_4) (Polynomial.ToPowerSeries.{u2} R _inst_1 f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.algebra_map_hahn_series_apply Polynomial.algebraMap_hahnSeries_applyₓ'. -/
 @[simp]
 theorem Polynomial.algebraMap_hahnSeries_apply (f : R[X]) :
@@ -1955,10 +1885,7 @@ theorem Polynomial.algebraMap_hahnSeries_apply (f : R[X]) :
 #align polynomial.algebra_map_hahn_series_apply Polynomial.algebraMap_hahnSeries_apply
 
 /- warning: polynomial.algebra_map_hahn_series_injective -> Polynomial.algebraMap_hahnSeries_injective is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align polynomial.algebra_map_hahn_series_injective Polynomial.algebraMap_hahnSeries_injectiveₓ'. -/
 theorem Polynomial.algebraMap_hahnSeries_injective :
     Function.Injective (algebraMap R[X] (HahnSeries Γ R)) :=
@@ -2004,10 +1931,7 @@ def addVal : AddValuation (HahnSeries Γ R) (WithTop Γ) :=
 variable {Γ} {R}
 
 /- warning: hahn_series.add_val_apply -> HahnSeries.addVal_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.add_val_apply HahnSeries.addVal_applyₓ'. -/
 theorem addVal_apply {x : HahnSeries Γ R} :
     addVal Γ R x = if x = (0 : HahnSeries Γ R) then (⊤ : WithTop Γ) else x.order :=
@@ -2015,10 +1939,7 @@ theorem addVal_apply {x : HahnSeries Γ R} :
 #align hahn_series.add_val_apply HahnSeries.addVal_apply
 
 /- warning: hahn_series.add_val_apply_of_ne -> HahnSeries.addVal_apply_of_ne is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.add_val_apply_of_ne HahnSeries.addVal_apply_of_neₓ'. -/
 @[simp]
 theorem addVal_apply_of_ne {x : HahnSeries Γ R} (hx : x ≠ 0) : addVal Γ R x = x.order :=
@@ -2041,10 +1962,7 @@ theorem addVal_le_of_coeff_ne_zero {x : HahnSeries Γ R} {g : Γ} (h : x.coeff g
 end Valuation
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.is_pwo_Union_support_powers HahnSeries.isPwo_iUnion_support_powersₓ'. -/
 theorem isPwo_iUnion_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R]
     {x : HahnSeries Γ R} (hx : 0 < addVal Γ R x) : (⋃ n : ℕ, (x ^ n).support).IsPwo :=
@@ -2443,10 +2361,7 @@ def lsum : SummableFamily Γ R α →ₗ[HahnSeries Γ R] HahnSeries Γ R
 #align hahn_series.summable_family.lsum HahnSeries.SummableFamily.lsum
 
 /- warning: hahn_series.summable_family.hsum_sub -> HahnSeries.SummableFamily.hsum_sub is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.hsum_sub HahnSeries.SummableFamily.hsum_subₓ'. -/
 @[simp]
 theorem hsum_sub {R : Type _} [Ring R] {s t : SummableFamily Γ R α} :
@@ -2647,10 +2562,7 @@ def powers (x : HahnSeries Γ R) (hx : 0 < addVal Γ R x) : SummableFamily Γ R
 variable {x : HahnSeries Γ R} (hx : 0 < addVal Γ R x)
 
 /- warning: hahn_series.summable_family.coe_powers -> HahnSeries.SummableFamily.coe_powers is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.coe_powers HahnSeries.SummableFamily.coe_powersₓ'. -/
 @[simp]
 theorem coe_powers : ⇑(powers x hx) = pow x :=
@@ -2658,10 +2570,7 @@ theorem coe_powers : ⇑(powers x hx) = pow x :=
 #align hahn_series.summable_family.coe_powers HahnSeries.SummableFamily.coe_powers
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.emb_domain_succ_smul_powers HahnSeries.SummableFamily.embDomain_succ_smul_powersₓ'. -/
 theorem embDomain_succ_smul_powers :
     (x • powers x hx).embDomain ⟨Nat.succ, Nat.succ_injective⟩ =
@@ -2679,10 +2588,7 @@ theorem embDomain_succ_smul_powers :
 #align hahn_series.summable_family.emb_domain_succ_smul_powers HahnSeries.SummableFamily.embDomain_succ_smul_powers
 
 /- warning: hahn_series.summable_family.one_sub_self_mul_hsum_powers -> HahnSeries.SummableFamily.one_sub_self_mul_hsum_powers is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.one_sub_self_mul_hsum_powers HahnSeries.SummableFamily.one_sub_self_mul_hsum_powersₓ'. -/
 theorem one_sub_self_mul_hsum_powers : (1 - x) * (powers x hx).hsum = 1 :=
   by
@@ -2704,10 +2610,7 @@ section IsDomain
 variable [CommRing R] [IsDomain R]
 
 /- warning: hahn_series.unit_aux -> HahnSeries.unit_aux is a dubious translation:
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(HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u2, u1} Γ R (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u2} Γ _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, max u1 u2} (RingHom.{u1, max u1 u2} R (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u2} Γ _inst_1))) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u2, u1} Γ R (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u2} Γ _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))))) R (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u2} Γ _inst_1))) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u2} Γ _inst_1))) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u2, u1} Γ R (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u2} Γ _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, max u1 u2} (RingHom.{u1, max u1 u2} R (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u2} Γ _inst_1))) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u2, u1} Γ R (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u2} Γ _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))))) R (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u2} Γ _inst_1))) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u2, u1} Γ R (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u2} Γ _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))) (RingHom.instRingHomClassRingHom.{u1, max u1 u2} R (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u2} Γ _inst_1))) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u2, u1} Γ R (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u2} Γ _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))))) (HahnSeries.C.{u2, u1} Γ R (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u2} Γ _inst_1)) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))) r) (FunLike.coe.{max (succ u2) (succ u1), succ u1, max (succ u2) (succ u1)} (ZeroHom.{u1, max u1 u2} R (HahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))))) (HahnSeries.instZeroHahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.124 : R) => HahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))) _x) (ZeroHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (ZeroHom.{u1, max u1 u2} R (HahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))))) (HahnSeries.instZeroHahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))))))) R (HahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))))) (HahnSeries.instZeroHahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))) (ZeroHom.zeroHomClass.{u1, max u2 u1} R (HahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))))) (HahnSeries.instZeroHahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))))) (HahnSeries.single.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))))) (Neg.neg.{u2} Γ (NegZeroClass.toNeg.{u2} Γ (SubNegZeroMonoid.toNegZeroClass.{u2} Γ (SubtractionMonoid.toSubNegZeroMonoid.{u2} Γ (SubtractionCommMonoid.toSubtractionMonoid.{u2} Γ (AddCommGroup.toDivisionAddCommMonoid.{u2} Γ (OrderedAddCommGroup.toAddCommGroup.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1))))))) (HahnSeries.order.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (CommMonoidWithZero.toZero.{u1} R (CancelCommMonoidWithZero.toCommMonoidWithZero.{u1} R (IsDomain.toCancelCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2) _inst_3))) (NegZeroClass.toZero.{u2} Γ (SubNegZeroMonoid.toNegZeroClass.{u2} Γ (SubtractionMonoid.toSubNegZeroMonoid.{u2} Γ (SubtractionCommMonoid.toSubtractionMonoid.{u2} Γ (AddCommGroup.toDivisionAddCommMonoid.{u2} Γ (OrderedAddCommGroup.toAddCommGroup.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1))))))) x))) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))))))) x))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align hahn_series.unit_aux HahnSeries.unit_auxₓ'. -/
 theorem unit_aux (x : HahnSeries Γ R) {r : R} (hr : r * x.coeff x.order = 1) :
     0 < addVal Γ R (1 - C r * single (-x.order) 1 * x) :=

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Aaron Anderson
 
 ! This file was ported from Lean 3 source module ring_theory.hahn_series
-! leanprover-community/mathlib commit a484a7d0eade4e1268f4fb402859b6686037f965
+! leanprover-community/mathlib commit 61db041ab8e4aaf8cb5c7dc10a7d4ff261997536
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -18,6 +18,9 @@ import Mathbin.Algebra.Order.Group.WithTop
 
 /-!
 # Hahn Series
+
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
 If `Γ` is ordered and `R` has zero, then `hahn_series Γ R` consists of formal series over `Γ` with
 coefficients in `R`, whose supports are partially well-ordered. With further structure on `R` and
 `Γ`, we can add further structure on `hahn_series Γ R`, with the most studied case being when `Γ` is

mathlib commit https://github.com/leanprover-community/mathlib/commit/8d33f09cd7089ecf074b4791907588245aec5d1b

@@ -1675,7 +1675,7 @@ def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {f : HahnSeries.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))} {n : Nat}, Eq.{succ u1} R (coeFn.{succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (PowerSeries.{u1} R) R (PowerSeries.addCommMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.module.{u1, u1} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1)) (fun (_x : LinearMap.{u1, u1, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (PowerSeries.{u1} R) R (PowerSeries.addCommMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.module.{u1, u1} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1)) => (PowerSeries.{u1} R) -> R) (LinearMap.hasCoeToFun.{u1, u1, u1, u1} R R (PowerSeries.{u1} R) R _inst_1 _inst_1 (PowerSeries.addCommMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.module.{u1, u1} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.coeff.{u1} R _inst_1 n) (coeFn.{succ u1, succ u1} (RingEquiv.{u1, u1} (HahnSeries.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) 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(PowerSeries.{u1} R) (PowerSeries.semiring.{u1} R _inst_1))))) (Distrib.toHasAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.semiring.{u1} R _inst_1)))))) (fun (_x : RingEquiv.{u1, u1} (HahnSeries.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (PowerSeries.{u1} R) (HahnSeries.hasMul.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (HahnSeries.hasAdd.{0, u1} Nat R 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(StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) -> (PowerSeries.{u1} R)) (RingEquiv.hasCoeToFun.{u1, u1} (HahnSeries.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (PowerSeries.{u1} R) (HahnSeries.hasMul.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (HahnSeries.hasAdd.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toHasMul.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.semiring.{u1} R _inst_1))))) (Distrib.toHasAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.semiring.{u1} R _inst_1)))))) (HahnSeries.toPowerSeries.{u1} R _inst_1) f)) (HahnSeries.coeff.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) f n)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {f : HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))} {n : Nat}, Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingEquiv.{u1, u1} (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))))) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (HahnSeries.instNonUnitalNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))) (RingEquiv.instRingEquivClassRingEquiv.{u1, u1} (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) 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(HahnSeries.instNonUnitalNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))) (RingEquivClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingEquiv.{u1, u1} (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))))) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (HahnSeries.instNonUnitalNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))) (RingEquiv.instRingEquivClassRingEquiv.{u1, u1} (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))))))))) (HahnSeries.toPowerSeries.{u1} R _inst_1) f)) (HahnSeries.coeff.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) f n)
+  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {f : HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))} {n : Nat}, Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} R) => R) (FunLike.coe.{succ u1, succ u1, succ u1} (RingEquiv.{u1, u1} (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))))) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (fun (a : HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) => PowerSeries.{u1} R) a) (MulHomClass.toFunLike.{u1, u1, u1} (RingEquiv.{u1, u1} (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))))) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toMul.{u1} (HahnSeries.{0, u1} Nat R 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(HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))))) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (HahnSeries.instNonUnitalNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))) (RingEquivClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingEquiv.{u1, u1} (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R 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(PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))))))))) (HahnSeries.toPowerSeries.{u1} R _inst_1) f)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (PowerSeries.{u1} R) R (PowerSeries.instAddCommMonoidPowerSeries.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1)) (PowerSeries.{u1} R) (fun (_x : PowerSeries.{u1} R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} R) => R) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} R R (PowerSeries.{u1} R) R _inst_1 _inst_1 (PowerSeries.instAddCommMonoidPowerSeries.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.coeff.{u1} R _inst_1 n) (FunLike.coe.{succ u1, succ u1, succ u1} (RingEquiv.{u1, u1} (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))))) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (fun (_x : HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) => PowerSeries.{u1} R) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingEquiv.{u1, u1} (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))))) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toMul.{u1} (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (HahnSeries.instNonUnitalNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingEquiv.{u1, u1} (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))))) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (HahnSeries.instNonUnitalNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))) (RingEquivClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingEquiv.{u1, u1} (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))))) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (HahnSeries.instNonUnitalNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))) (RingEquiv.instRingEquivClassRingEquiv.{u1, u1} (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))))))))) (HahnSeries.toPowerSeries.{u1} R _inst_1) f)) (HahnSeries.coeff.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) f n)
 Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_to_power_series HahnSeries.coeff_toPowerSeriesₓ'. -/
 theorem coeff_toPowerSeries {f : HahnSeries ℕ R} {n : ℕ} :
     PowerSeries.coeff R n f.toPowerSeries = f.coeff n :=
@@ -1686,7 +1686,7 @@ theorem coeff_toPowerSeries {f : HahnSeries ℕ R} {n : ℕ} :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {f : PowerSeries.{u1} R} {n : Nat}, Eq.{succ u1} R (HahnSeries.coeff.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (coeFn.{succ u1, succ u1} (RingEquiv.{u1, u1} (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toHasMul.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.semiring.{u1} R _inst_1))))) (Distrib.toHasAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.semiring.{u1} R _inst_1))))) (HahnSeries.hasMul.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (HahnSeries.hasAdd.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (fun (_x : RingEquiv.{u1, u1} (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toHasMul.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.semiring.{u1} R _inst_1))))) (Distrib.toHasAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.semiring.{u1} R _inst_1))))) (HahnSeries.hasMul.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (HahnSeries.hasAdd.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) => (PowerSeries.{u1} R) -> (HahnSeries.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (RingEquiv.hasCoeToFun.{u1, u1} (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toHasMul.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.semiring.{u1} R _inst_1))))) (Distrib.toHasAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.semiring.{u1} R _inst_1))))) (HahnSeries.hasMul.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (HahnSeries.hasAdd.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (RingEquiv.symm.{u1, u1} (HahnSeries.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (PowerSeries.{u1} R) (HahnSeries.hasMul.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (HahnSeries.hasAdd.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toHasMul.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.semiring.{u1} R _inst_1))))) (Distrib.toHasAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.semiring.{u1} R _inst_1))))) (HahnSeries.toPowerSeries.{u1} R _inst_1)) f) n) (coeFn.{succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (PowerSeries.{u1} R) R (PowerSeries.addCommMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.module.{u1, u1} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1)) (fun (_x : LinearMap.{u1, u1, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (PowerSeries.{u1} R) R (PowerSeries.addCommMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.module.{u1, u1} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1)) => (PowerSeries.{u1} R) -> R) (LinearMap.hasCoeToFun.{u1, u1, u1, u1} R R (PowerSeries.{u1} R) R _inst_1 _inst_1 (PowerSeries.addCommMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.module.{u1, u1} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.coeff.{u1} R _inst_1 n) f)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {f : PowerSeries.{u1} R} {n : Nat}, Eq.{succ u1} R (HahnSeries.coeff.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingEquiv.{u1, u1} (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (PowerSeries.{u1} R) (fun (_x : PowerSeries.{u1} R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} R) => HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingEquiv.{u1, u1} (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (HahnSeries.instNonUnitalNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingEquiv.{u1, u1} (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))) (HahnSeries.instNonUnitalNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) (RingEquivClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingEquiv.{u1, u1} (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))) (HahnSeries.instNonUnitalNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) (RingEquiv.instRingEquivClassRingEquiv.{u1, u1} (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))) (RingEquiv.symm.{u1, u1} (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))))) (HahnSeries.toPowerSeries.{u1} R _inst_1)) f) n) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (PowerSeries.{u1} R) R (PowerSeries.instAddCommMonoidPowerSeries.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1)) (PowerSeries.{u1} R) (fun (_x : PowerSeries.{u1} R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u1} R) => R) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} R R (PowerSeries.{u1} R) R _inst_1 _inst_1 (PowerSeries.instAddCommMonoidPowerSeries.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.coeff.{u1} R _inst_1 n) f)
+  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {f : PowerSeries.{u1} R} {n : Nat}, Eq.{succ u1} R (HahnSeries.coeff.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingEquiv.{u1, u1} (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (PowerSeries.{u1} R) (fun (_x : PowerSeries.{u1} R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u1} R) => HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingEquiv.{u1, u1} (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (HahnSeries.instNonUnitalNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingEquiv.{u1, u1} (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))) (HahnSeries.instNonUnitalNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) (RingEquivClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingEquiv.{u1, u1} (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))) (HahnSeries.instNonUnitalNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonUnitalSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonUnitalSemiring.{u1} R _inst_1))) (RingEquiv.instRingEquivClassRingEquiv.{u1, u1} (PowerSeries.{u1} R) (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))) (RingEquiv.symm.{u1, u1} (HahnSeries.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (PowerSeries.{u1} R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1)))) (HahnSeries.instAddHahnSeriesToZero.{0, u1} Nat R (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.instSemiringPowerSeries.{u1} R _inst_1))))) (HahnSeries.toPowerSeries.{u1} R _inst_1)) f) n) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (PowerSeries.{u1} R) R (PowerSeries.instAddCommMonoidPowerSeries.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1)) (PowerSeries.{u1} R) (fun (_x : PowerSeries.{u1} R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u1} R) => R) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u1} R R (PowerSeries.{u1} R) R _inst_1 _inst_1 (PowerSeries.instAddCommMonoidPowerSeries.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u1, u1} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.coeff.{u1} R _inst_1 n) f)
 Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_to_power_series_symm HahnSeries.coeff_toPowerSeries_symmₓ'. -/
 theorem coeff_toPowerSeries_symm {f : PowerSeries R} {n : ℕ} :
     (HahnSeries.toPowerSeries.symm f).coeff n = PowerSeries.coeff R n f :=
@@ -1742,7 +1742,7 @@ theorem ofPowerSeries_apply (x : PowerSeries R) :
 lean 3 declaration is
   forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : Semiring.{u2} R] [_inst_2 : StrictOrderedSemiring.{u1} Γ] (x : PowerSeries.{u2} R) (n : Nat), Eq.{succ u2} R (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)))) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.semiring.{u2} R _inst_1)) (HahnSeries.nonAssocSemiring.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (fun (_x : RingHom.{u2, max u1 u2} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.semiring.{u2} R _inst_1)) (HahnSeries.nonAssocSemiring.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1))) => (PowerSeries.{u2} R) -> (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)))))) (RingHom.hasCoeToFun.{u2, max u1 u2} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.semiring.{u2} R _inst_1)) (HahnSeries.nonAssocSemiring.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (HahnSeries.ofPowerSeries.{u1, u2} Γ R _inst_1 _inst_2) x) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat Γ (HasLiftT.mk.{1, succ u1} Nat Γ (CoeTCₓ.coe.{1, succ u1} Nat Γ (Nat.castCoe.{u1} Γ (AddMonoidWithOne.toNatCast.{u1} Γ (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} Γ (NonAssocSemiring.toAddCommMonoidWithOne.{u1} Γ (Semiring.toNonAssocSemiring.{u1} Γ (StrictOrderedSemiring.toSemiring.{u1} Γ _inst_2)))))))) n)) (coeFn.{succ u2, succ u2} (LinearMap.{u2, u2, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (PowerSeries.{u2} R) R (PowerSeries.addCommMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.module.{u2, u2} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Semiring.toModule.{u2} R _inst_1)) (Semiring.toModule.{u2} R _inst_1)) (fun (_x : LinearMap.{u2, u2, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (PowerSeries.{u2} R) R (PowerSeries.addCommMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.module.{u2, u2} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Semiring.toModule.{u2} R _inst_1)) (Semiring.toModule.{u2} R _inst_1)) => (PowerSeries.{u2} R) -> R) (LinearMap.hasCoeToFun.{u2, u2, u2, u2} R R (PowerSeries.{u2} R) R _inst_1 _inst_1 (PowerSeries.addCommMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.module.{u2, u2} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Semiring.toModule.{u2} R _inst_1)) (Semiring.toModule.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.coeff.{u2} R _inst_1 n) x)
 but is expected to have type
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(x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u2} R) => HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u2} (PowerSeries.{u2} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} R) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} R) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)))))) (HahnSeries.ofPowerSeries.{u1, u2} Γ R _inst_1 _inst_2) x) (Nat.cast.{u1} Γ (Semiring.toNatCast.{u1} Γ (StrictOrderedSemiring.toSemiring.{u1} Γ _inst_2)) n)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u2, u2, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (PowerSeries.{u2} R) R (PowerSeries.instAddCommMonoidPowerSeries.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u2, u2} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Semiring.toModule.{u2} R _inst_1)) (Semiring.toModule.{u2} R _inst_1)) (PowerSeries.{u2} R) (fun (_x : PowerSeries.{u2} R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : PowerSeries.{u2} R) => R) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u2} R R (PowerSeries.{u2} R) R _inst_1 _inst_1 (PowerSeries.instAddCommMonoidPowerSeries.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u2, u2} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Semiring.toModule.{u2} R _inst_1)) (Semiring.toModule.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.coeff.{u2} R _inst_1 n) x)
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : Semiring.{u2} R] [_inst_2 : StrictOrderedSemiring.{u1} Γ] (x : PowerSeries.{u2} R) (n : Nat), Eq.{succ u2} R (HahnSeries.coeff.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (RingHom.{u2, max u2 u1} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.{u2} R) (fun (_x : PowerSeries.{u2} R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : PowerSeries.{u2} R) => HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) _x) (MulHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u2} (PowerSeries.{u2} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} R) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} R) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)))))) (HahnSeries.ofPowerSeries.{u1, u2} Γ R _inst_1 _inst_2) x) (Nat.cast.{u1} Γ (Semiring.toNatCast.{u1} Γ (StrictOrderedSemiring.toSemiring.{u1} Γ _inst_2)) n)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u2, u2, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (PowerSeries.{u2} R) R (PowerSeries.instAddCommMonoidPowerSeries.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u2, u2} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Semiring.toModule.{u2} R _inst_1)) (Semiring.toModule.{u2} R _inst_1)) (PowerSeries.{u2} R) (fun (_x : PowerSeries.{u2} R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : PowerSeries.{u2} R) => R) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u2} R R (PowerSeries.{u2} R) R _inst_1 _inst_1 (PowerSeries.instAddCommMonoidPowerSeries.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u2, u2} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Semiring.toModule.{u2} R _inst_1)) (Semiring.toModule.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.coeff.{u2} R _inst_1 n) x)
 Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_apply_coeff HahnSeries.ofPowerSeries_apply_coeffₓ'. -/
 theorem ofPowerSeries_apply_coeff (x : PowerSeries R) (n : ℕ) :
     (ofPowerSeries Γ R x).coeff n = PowerSeries.coeff R n x := by simp
@@ -1790,14 +1790,14 @@ theorem ofPowerSeries_X : ofPowerSeries Γ R PowerSeries.X = single 1 1 :=
     simp (config := { contextual := true }) [Ne.symm hn]
 #align hahn_series.of_power_series_X HahnSeries.ofPowerSeries_X
 
-/- warning: hahn_series.of_power_series_X_pow -> HahnSeries.ofPowerSeries_x_pow is a dubious translation:
+/- warning: hahn_series.of_power_series_X_pow -> HahnSeries.ofPowerSeries_X_pow is a dubious translation:
 lean 3 declaration is
   forall {Γ : Type.{u1}} [_inst_2 : StrictOrderedSemiring.{u1} Γ] {R : Type.{u2}} [_inst_3 : CommSemiring.{u2} R] (n : Nat), Eq.{max (succ u1) (succ u2)} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) 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(NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (HahnSeries.hasZero.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) => R -> (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (ZeroHom.hasCoeToFun.{u2, max u1 u2} R (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) (HahnSeries.hasZero.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (HahnSeries.single.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat Γ (HasLiftT.mk.{1, succ u1} Nat Γ (CoeTCₓ.coe.{1, succ u1} Nat Γ (Nat.castCoe.{u1} Γ (AddMonoidWithOne.toNatCast.{u1} Γ (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} Γ (NonAssocSemiring.toAddCommMonoidWithOne.{u1} Γ (Semiring.toNonAssocSemiring.{u1} Γ (StrictOrderedSemiring.toSemiring.{u1} Γ _inst_2)))))))) n)) (OfNat.ofNat.{u2} R 1 (OfNat.mk.{u2} R 1 (One.one.{u2} R (AddMonoidWithOne.toOne.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))))))
 but is expected to have type
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(StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))))) (HahnSeries.ofPowerSeries.{u1, u2} Γ R (CommSemiring.toSemiring.{u2} R _inst_3) _inst_2) (HPow.hPow.{u2, 0, u2} (PowerSeries.{u2} R) Nat (PowerSeries.{u2} R) (instHPow.{u2, 0} (PowerSeries.{u2} R) Nat (Monoid.Pow.{u2} (PowerSeries.{u2} R) (MonoidWithZero.toMonoid.{u2} (PowerSeries.{u2} R) (Semiring.toMonoidWithZero.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (PowerSeries.X.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)) n)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (ZeroHom.{u2, max u2 u1} R (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} 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(Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (HahnSeries.instZeroHahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))))) R (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (HahnSeries.instZeroHahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (ZeroHom.zeroHomClass.{u2, max u1 u2} R (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (HahnSeries.instZeroHahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))) (HahnSeries.single.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3))) (Nat.cast.{u1} Γ (Semiring.toNatCast.{u1} Γ (StrictOrderedSemiring.toSemiring.{u1} Γ _inst_2)) n)) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R _inst_3)))))
-Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_x_powₓ'. -/
+Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_X_powₓ'. -/
 @[simp]
-theorem ofPowerSeries_x_pow {R} [CommSemiring R] (n : ℕ) :
+theorem ofPowerSeries_X_pow {R} [CommSemiring R] (n : ℕ) :
     ofPowerSeries Γ R (PowerSeries.X ^ n) = single (n : Γ) 1 :=
   by
   rw [RingHom.map_pow]
@@ -1805,7 +1805,7 @@ theorem ofPowerSeries_x_pow {R} [CommSemiring R] (n : ℕ) :
   · simp
     rfl
   rw [pow_succ, ih, of_power_series_X, mul_comm, single_mul_single, one_mul, Nat.cast_succ]
-#align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_x_pow
+#align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_X_pow
 
 /- warning: hahn_series.to_mv_power_series -> HahnSeries.toMvPowerSeries is a dubious translation:
 lean 3 declaration is
@@ -1853,7 +1853,7 @@ variable {σ : Type _} [Fintype σ]
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {σ : Type.{u2}} [_inst_3 : Fintype.{u2} σ] {f : HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (Finsupp.partialOrder.{u2, 0} σ Nat Nat.hasZero (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))} {n : Finsupp.{u2, 0} σ Nat Nat.hasZero}, Eq.{succ u1} R (coeFn.{max (succ (max u2 u1)) (succ u1), max (succ (max u2 u1)) (succ u1)} (LinearMap.{u1, u1, max u2 u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (MvPowerSeries.{u2, u1} σ R) R (MvPowerSeries.addCommMonoid.{u2, u1} σ R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) f n)
 but is expected to have type
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Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (Distrib.toAdd.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.instSemiringMvPowerSeries.{u2, u1} σ R _inst_1))))) (RingEquiv.instRingEquivClassRingEquiv.{max u2 u1, max u2 u1} (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (MvPowerSeries.{u2, u1} σ R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.instSemiringMvPowerSeries.{u2, u1} σ R _inst_1))))))))) (HahnSeries.toMvPowerSeries.{u1, u2} R _inst_1 σ _inst_3) f)) (HahnSeries.coeff.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) f n)
+  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {σ : Type.{u2}} [_inst_3 : Fintype.{u2} σ] {f : HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))} {n : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)}, Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : MvPowerSeries.{u2, u1} σ R) => R) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingEquiv.{max u1 u2, max u1 u2} (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (MvPowerSeries.{u2, u1} σ R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat 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(Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) => MvPowerSeries.{u2, u1} σ R) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (RingEquiv.{max u1 u2, max u1 u2} (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R 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(LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.instSemiringMvPowerSeries.{u2, u1} σ R _inst_1)))))) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (MvPowerSeries.{u2, u1} σ R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (MulEquivClass.instMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (MvPowerSeries.{u2, u1} σ R) (RingEquiv.{max u1 u2, max u1 u2} (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (MvPowerSeries.{u2, u1} σ R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.instSemiringMvPowerSeries.{u2, u1} σ R _inst_1)))))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (RingEquivClass.toMulEquivClass.{max u2 u1, max u2 u1, max u2 u1} (RingEquiv.{max u1 u2, max u1 u2} (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (MvPowerSeries.{u2, u1} σ R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.instSemiringMvPowerSeries.{u2, u1} σ R _inst_1)))))) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (MvPowerSeries.{u2, u1} σ R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (Distrib.toAdd.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.instSemiringMvPowerSeries.{u2, u1} σ R _inst_1))))) (RingEquiv.instRingEquivClassRingEquiv.{max u2 u1, max u2 u1} (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (MvPowerSeries.{u2, u1} σ R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.instSemiringMvPowerSeries.{u2, u1} σ R _inst_1))))))))) (HahnSeries.toMvPowerSeries.{u1, u2} R _inst_1 σ _inst_3) f)) (HahnSeries.coeff.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) f n)
 Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_to_mv_power_series HahnSeries.coeff_toMvPowerSeriesₓ'. -/
 theorem coeff_toMvPowerSeries {f : HahnSeries (σ →₀ ℕ) R} {n : σ →₀ ℕ} :
     MvPowerSeries.coeff R n f.toMvPowerSeries = f.coeff n :=
@@ -1864,7 +1864,7 @@ theorem coeff_toMvPowerSeries {f : HahnSeries (σ →₀ ℕ) R} {n : σ →₀
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {σ : Type.{u2}} [_inst_3 : Fintype.{u2} σ] {f : MvPowerSeries.{u2, u1} σ R} {n : Finsupp.{u2, 0} σ Nat Nat.hasZero}, Eq.{succ u1} R (HahnSeries.coeff.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (Finsupp.partialOrder.{u2, 0} σ Nat Nat.hasZero (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (coeFn.{succ (max u2 u1), succ (max u2 u1)} (RingEquiv.{max u2 u1, max u2 u1} (MvPowerSeries.{u2, u1} σ R) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (Finsupp.partialOrder.{u2, 0} σ Nat Nat.hasZero (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (MvPowerSeries.hasMul.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.semiring.{u2, u1} σ R _inst_1))))) (HahnSeries.hasMul.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (HahnSeries.hasAdd.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (Finsupp.partialOrder.{u2, 0} σ Nat Nat.hasZero (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (fun (_x : RingEquiv.{max u2 u1, max u2 u1} (MvPowerSeries.{u2, u1} σ R) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (Finsupp.partialOrder.{u2, 0} σ Nat Nat.hasZero (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (MvPowerSeries.hasMul.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.semiring.{u2, u1} σ R _inst_1))))) (HahnSeries.hasMul.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (HahnSeries.hasAdd.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (Finsupp.partialOrder.{u2, 0} σ Nat Nat.hasZero (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) => (MvPowerSeries.{u2, u1} σ R) -> (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (Finsupp.partialOrder.{u2, 0} σ Nat Nat.hasZero (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (RingEquiv.hasCoeToFun.{max u2 u1, max u2 u1} (MvPowerSeries.{u2, u1} σ R) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (Finsupp.partialOrder.{u2, 0} σ Nat Nat.hasZero (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (MvPowerSeries.hasMul.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.semiring.{u2, u1} σ R _inst_1))))) (HahnSeries.hasMul.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (HahnSeries.hasAdd.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (Finsupp.partialOrder.{u2, 0} σ Nat Nat.hasZero (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.module.{u2, u1, u1} σ R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1)) => (MvPowerSeries.{u2, u1} σ R) -> R) (LinearMap.hasCoeToFun.{u1, u1, max u2 u1, u1} R R (MvPowerSeries.{u2, u1} σ R) R _inst_1 _inst_1 (MvPowerSeries.addCommMonoid.{u2, u1} σ R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.module.{u2, u1, u1} σ R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.coeff.{u2, u1} σ R _inst_1 n) f)
 but is expected to have type
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(LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (Distrib.toAdd.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.instSemiringMvPowerSeries.{u2, u1} σ R _inst_1))))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (RingEquiv.instRingEquivClassRingEquiv.{max u2 u1, max u2 u1} (MvPowerSeries.{u2, u1} σ R) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Distrib.toAdd.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.instSemiringMvPowerSeries.{u2, u1} σ R _inst_1))))) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))) (RingEquiv.symm.{max u2 u1, max u2 u1} (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (MvPowerSeries.{u2, u1} σ R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.instSemiringMvPowerSeries.{u2, u1} σ R _inst_1))))) (HahnSeries.toMvPowerSeries.{u1, u2} R _inst_1 σ _inst_3)) f) n) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u1} (LinearMap.{u1, u1, max u1 u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (MvPowerSeries.{u2, u1} σ R) R (MvPowerSeries.instAddCommMonoidMvPowerSeries.{u2, u1} σ R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.instModuleMvPowerSeriesInstAddCommMonoidMvPowerSeries.{u2, u1, u1} σ R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1)) (MvPowerSeries.{u2, u1} σ R) (fun (_x : MvPowerSeries.{u2, u1} σ R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPowerSeries.{u2, u1} σ R) => R) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u1 u2, u1} R R (MvPowerSeries.{u2, u1} σ R) R _inst_1 _inst_1 (MvPowerSeries.instAddCommMonoidMvPowerSeries.{u2, u1} σ R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.instModuleMvPowerSeriesInstAddCommMonoidMvPowerSeries.{u2, u1, u1} σ R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.coeff.{u2, u1} σ R _inst_1 n) f)
+  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {σ : Type.{u2}} [_inst_3 : Fintype.{u2} σ] {f : MvPowerSeries.{u2, u1} σ R} {n : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)}, Eq.{succ u1} R (HahnSeries.coeff.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingEquiv.{max u2 u1, max u2 u1} (MvPowerSeries.{u2, u1} σ R) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat 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_inst_1))) (MulEquivClass.instMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MvPowerSeries.{u2, u1} σ R) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (RingEquiv.{max u2 u1, max u2 u1} (MvPowerSeries.{u2, u1} σ R) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) 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(Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingEquivClass.toMulEquivClass.{max u2 u1, max u2 u1, max u2 u1} (RingEquiv.{max u2 u1, max u2 u1} (MvPowerSeries.{u2, u1} σ R) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Distrib.toAdd.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.instSemiringMvPowerSeries.{u2, u1} σ R _inst_1))))) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (MvPowerSeries.{u2, u1} σ R) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (Distrib.toAdd.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.instSemiringMvPowerSeries.{u2, u1} σ R _inst_1))))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (RingEquiv.instRingEquivClassRingEquiv.{max u2 u1, max u2 u1} (MvPowerSeries.{u2, u1} σ R) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) 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 Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_to_mv_power_series_symm HahnSeries.coeff_toMvPowerSeries_symmₓ'. -/
 theorem coeff_toMvPowerSeries_symm {f : MvPowerSeries σ R} {n : σ →₀ ℕ} :
     (HahnSeries.toMvPowerSeries.symm f).coeff n = MvPowerSeries.coeff R n f :=

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

@@ -60,6 +60,7 @@ open BigOperators Classical Pointwise Polynomial
 
 noncomputable section
 
+#print HahnSeries /-
 /-- If `Γ` is linearly ordered and `R` has zero, then `hahn_series Γ R` consists of
   formal series over `Γ` with coefficients in `R`, whose supports are well-founded. -/
 @[ext]
@@ -67,6 +68,7 @@ structure HahnSeries (Γ : Type _) (R : Type _) [PartialOrder Γ] [Zero R] where
   coeff : Γ → R
   isPwo_support' : (support coeff).IsPwo
 #align hahn_series HahnSeries
+-/
 
 variable {Γ : Type _} {R : Type _}
 
@@ -76,31 +78,63 @@ section Zero
 
 variable [PartialOrder Γ] [Zero R]
 
+/- warning: hahn_series.coeff_injective -> HahnSeries.coeff_injective is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : PartialOrder.{u1} Γ] [_inst_2 : Zero.{u2} R], Function.Injective.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (HahnSeries.{u1, u2} Γ R _inst_1 _inst_2) (Γ -> R) (HahnSeries.coeff.{u1, u2} Γ R _inst_1 _inst_2)
+but is expected to have type
+  forall {Γ : Type.{u2}} {R : Type.{u1}} [_inst_1 : PartialOrder.{u2} Γ] [_inst_2 : Zero.{u1} R], Function.Injective.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (HahnSeries.{u2, u1} Γ R _inst_1 _inst_2) (Γ -> R) (HahnSeries.coeff.{u2, u1} Γ R _inst_1 _inst_2)
+Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_injective HahnSeries.coeff_injectiveₓ'. -/
 theorem coeff_injective : Injective (coeff : HahnSeries Γ R → Γ → R) :=
   ext
 #align hahn_series.coeff_injective HahnSeries.coeff_injective
 
+/- warning: hahn_series.coeff_inj -> HahnSeries.coeff_inj is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : PartialOrder.{u1} Γ] [_inst_2 : Zero.{u2} R] {x : HahnSeries.{u1, u2} Γ R _inst_1 _inst_2} {y : HahnSeries.{u1, u2} Γ R _inst_1 _inst_2}, Iff (Eq.{max (succ u1) (succ u2)} (Γ -> R) (HahnSeries.coeff.{u1, u2} Γ R _inst_1 _inst_2 x) (HahnSeries.coeff.{u1, u2} Γ R _inst_1 _inst_2 y)) (Eq.{max (succ u1) (succ u2)} (HahnSeries.{u1, u2} Γ R _inst_1 _inst_2) x y)
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_inj HahnSeries.coeff_injₓ'. -/
 @[simp]
 theorem coeff_inj {x y : HahnSeries Γ R} : x.coeff = y.coeff ↔ x = y :=
   coeff_injective.eq_iff
 #align hahn_series.coeff_inj HahnSeries.coeff_inj
 
+#print HahnSeries.support /-
 /-- The support of a Hahn series is just the set of indices whose coefficients are nonzero.
   Notably, it is well-founded. -/
 def support (x : HahnSeries Γ R) : Set Γ :=
   support x.coeff
 #align hahn_series.support HahnSeries.support
+-/
 
+/- warning: hahn_series.is_pwo_support -> HahnSeries.isPwo_support is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : PartialOrder.{u1} Γ] [_inst_2 : Zero.{u2} R] (x : HahnSeries.{u1, u2} Γ R _inst_1 _inst_2), Set.IsPwo.{u1} Γ (PartialOrder.toPreorder.{u1} Γ _inst_1) (HahnSeries.support.{u1, u2} Γ R _inst_1 _inst_2 x)
+but is expected to have type
+  forall {Γ : Type.{u2}} {R : Type.{u1}} [_inst_1 : PartialOrder.{u2} Γ] [_inst_2 : Zero.{u1} R] (x : HahnSeries.{u2, u1} Γ R _inst_1 _inst_2), Set.IsPwo.{u2} Γ (PartialOrder.toPreorder.{u2} Γ _inst_1) (HahnSeries.support.{u2, u1} Γ R _inst_1 _inst_2 x)
+Case conversion may be inaccurate. Consider using '#align hahn_series.is_pwo_support HahnSeries.isPwo_supportₓ'. -/
 @[simp]
 theorem isPwo_support (x : HahnSeries Γ R) : x.support.IsPwo :=
   x.isPwo_support'
 #align hahn_series.is_pwo_support HahnSeries.isPwo_support
 
+/- warning: hahn_series.is_wf_support -> HahnSeries.isWf_support is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : PartialOrder.{u1} Γ] [_inst_2 : Zero.{u2} R] (x : HahnSeries.{u1, u2} Γ R _inst_1 _inst_2), Set.IsWf.{u1} Γ (Preorder.toHasLt.{u1} Γ (PartialOrder.toPreorder.{u1} Γ _inst_1)) (HahnSeries.support.{u1, u2} Γ R _inst_1 _inst_2 x)
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align hahn_series.is_wf_support HahnSeries.isWf_supportₓ'. -/
 @[simp]
 theorem isWf_support (x : HahnSeries Γ R) : x.support.IsWf :=
   x.isPwo_support.IsWf
 #align hahn_series.is_wf_support HahnSeries.isWf_support
 
+/- warning: hahn_series.mem_support -> HahnSeries.mem_support is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : PartialOrder.{u1} Γ] [_inst_2 : Zero.{u2} R] (x : HahnSeries.{u1, u2} Γ R _inst_1 _inst_2) (a : Γ), Iff (Membership.Mem.{u1, u1} Γ (Set.{u1} Γ) (Set.hasMem.{u1} Γ) a (HahnSeries.support.{u1, u2} Γ R _inst_1 _inst_2 x)) (Ne.{succ u2} R (HahnSeries.coeff.{u1, u2} Γ R _inst_1 _inst_2 x a) (OfNat.ofNat.{u2} R 0 (OfNat.mk.{u2} R 0 (Zero.zero.{u2} R _inst_2))))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align hahn_series.mem_support HahnSeries.mem_supportₓ'. -/
 @[simp]
 theorem mem_support (x : HahnSeries Γ R) (a : Γ) : a ∈ x.support ↔ x.coeff a ≠ 0 :=
   Iff.refl _
@@ -116,35 +150,68 @@ instance : Inhabited (HahnSeries Γ R) :=
 instance [Subsingleton R] : Subsingleton (HahnSeries Γ R) :=
   ⟨fun a b => a.ext b (Subsingleton.elim _ _)⟩
 
+#print HahnSeries.zero_coeff /-
 @[simp]
 theorem zero_coeff {a : Γ} : (0 : HahnSeries Γ R).coeff a = 0 :=
   rfl
 #align hahn_series.zero_coeff HahnSeries.zero_coeff
+-/
 
+/- warning: hahn_series.coeff_fun_eq_zero_iff -> HahnSeries.coeff_fun_eq_zero_iff is a dubious translation:
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 @[simp]
 theorem coeff_fun_eq_zero_iff {x : HahnSeries Γ R} : x.coeff = 0 ↔ x = 0 :=
   coeff_injective.eq_iff' rfl
 #align hahn_series.coeff_fun_eq_zero_iff HahnSeries.coeff_fun_eq_zero_iff
 
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 theorem ne_zero_of_coeff_ne_zero {x : HahnSeries Γ R} {g : Γ} (h : x.coeff g ≠ 0) : x ≠ 0 :=
   mt (fun x0 => (x0.symm ▸ zero_coeff : x.coeff g = 0)) h
 #align hahn_series.ne_zero_of_coeff_ne_zero HahnSeries.ne_zero_of_coeff_ne_zero
 
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+Case conversion may be inaccurate. Consider using '#align hahn_series.support_zero HahnSeries.support_zeroₓ'. -/
 @[simp]
 theorem support_zero : support (0 : HahnSeries Γ R) = ∅ :=
   Function.support_zero
 #align hahn_series.support_zero HahnSeries.support_zero
 
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 @[simp]
 theorem support_nonempty_iff {x : HahnSeries Γ R} : x.support.Nonempty ↔ x ≠ 0 := by
   rw [support, support_nonempty_iff, Ne.def, coeff_fun_eq_zero_iff]
 #align hahn_series.support_nonempty_iff HahnSeries.support_nonempty_iff
 
+/- warning: hahn_series.support_eq_empty_iff -> HahnSeries.support_eq_empty_iff is a dubious translation:
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 @[simp]
 theorem support_eq_empty_iff {x : HahnSeries Γ R} : x.support = ∅ ↔ x = 0 :=
   support_eq_empty_iff.trans coeff_fun_eq_zero_iff
 #align hahn_series.support_eq_empty_iff HahnSeries.support_eq_empty_iff
 
+#print HahnSeries.single /-
 /-- `single a r` is the Hahn series which has coefficient `r` at `a` and zero otherwise. -/
 def single (a : Γ) : ZeroHom R (HahnSeries Γ R)
     where
@@ -153,49 +220,90 @@ def single (a : Γ) : ZeroHom R (HahnSeries Γ R)
       isPwo_support' := (Set.isPwo_singleton a).mono Pi.support_single_subset }
   map_zero' := ext _ _ (Pi.single_zero _)
 #align hahn_series.single HahnSeries.single
+-/
 
 variable {a b : Γ} {r : R}
 
+#print HahnSeries.single_coeff_same /-
 @[simp]
 theorem single_coeff_same (a : Γ) (r : R) : (single a r).coeff a = r :=
   Pi.single_eq_same a r
 #align hahn_series.single_coeff_same HahnSeries.single_coeff_same
+-/
 
+/- warning: hahn_series.single_coeff_of_ne -> HahnSeries.single_coeff_of_ne is a dubious translation:
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 @[simp]
 theorem single_coeff_of_ne (h : b ≠ a) : (single a r).coeff b = 0 :=
   Pi.single_eq_of_ne h r
 #align hahn_series.single_coeff_of_ne HahnSeries.single_coeff_of_ne
 
+#print HahnSeries.single_coeff /-
 theorem single_coeff : (single a r).coeff b = if b = a then r else 0 := by
   split_ifs with h <;> simp [h]
 #align hahn_series.single_coeff HahnSeries.single_coeff
+-/
 
+#print HahnSeries.support_single_of_ne /-
 @[simp]
 theorem support_single_of_ne (h : r ≠ 0) : support (single a r) = {a} :=
   Pi.support_single_of_ne h
 #align hahn_series.support_single_of_ne HahnSeries.support_single_of_ne
+-/
 
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 theorem support_single_subset : support (single a r) ⊆ {a} :=
   Pi.support_single_subset
 #align hahn_series.support_single_subset HahnSeries.support_single_subset
 
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 theorem eq_of_mem_support_single {b : Γ} (h : b ∈ support (single a r)) : b = a :=
   support_single_subset h
 #align hahn_series.eq_of_mem_support_single HahnSeries.eq_of_mem_support_single
 
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 @[simp]
 theorem single_eq_zero : single a (0 : R) = 0 :=
   (single a).map_zero
 #align hahn_series.single_eq_zero HahnSeries.single_eq_zero
 
+#print HahnSeries.single_injective /-
 theorem single_injective (a : Γ) : Function.Injective (single a : R → HahnSeries Γ R) :=
   fun r s rs => by rw [← single_coeff_same a r, ← single_coeff_same a s, rs]
 #align hahn_series.single_injective HahnSeries.single_injective
+-/
 
+#print HahnSeries.single_ne_zero /-
 theorem single_ne_zero (h : r ≠ 0) : single a r ≠ 0 := fun con =>
   h (single_injective a (Con.trans single_eq_zero.symm))
 #align hahn_series.single_ne_zero HahnSeries.single_ne_zero
+-/
 
+/- warning: hahn_series.single_eq_zero_iff -> HahnSeries.single_eq_zero_iff is a dubious translation:
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 @[simp]
 theorem single_eq_zero_iff {a : Γ} {r : R} : single a r = 0 ↔ r = 0 :=
   by
@@ -216,41 +324,75 @@ section Order
 
 variable [Zero Γ]
 
+#print HahnSeries.order /-
 /-- The order of a nonzero Hahn series `x` is a minimal element of `Γ` where `x` has a
   nonzero coefficient, the order of 0 is 0. -/
 def order (x : HahnSeries Γ R) : Γ :=
   if h : x = 0 then 0 else x.isWf_support.min (support_nonempty_iff.2 h)
 #align hahn_series.order HahnSeries.order
+-/
 
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 @[simp]
 theorem order_zero : order (0 : HahnSeries Γ R) = 0 :=
   dif_pos rfl
 #align hahn_series.order_zero HahnSeries.order_zero
 
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 theorem order_of_ne {x : HahnSeries Γ R} (hx : x ≠ 0) :
     order x = x.isWf_support.min (support_nonempty_iff.2 hx) :=
   dif_neg hx
 #align hahn_series.order_of_ne HahnSeries.order_of_ne
 
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+Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_order_ne_zero HahnSeries.coeff_order_ne_zeroₓ'. -/
 theorem coeff_order_ne_zero {x : HahnSeries Γ R} (hx : x ≠ 0) : x.coeff x.order ≠ 0 :=
   by
   rw [order_of_ne hx]
   exact x.is_wf_support.min_mem (support_nonempty_iff.2 hx)
 #align hahn_series.coeff_order_ne_zero HahnSeries.coeff_order_ne_zero
 
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+Case conversion may be inaccurate. Consider using '#align hahn_series.order_le_of_coeff_ne_zero HahnSeries.order_le_of_coeff_ne_zeroₓ'. -/
 theorem order_le_of_coeff_ne_zero {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x : HahnSeries Γ R}
     {g : Γ} (h : x.coeff g ≠ 0) : x.order ≤ g :=
   le_trans (le_of_eq (order_of_ne (ne_zero_of_coeff_ne_zero h)))
     (Set.IsWf.min_le _ _ ((mem_support _ _).2 h))
 #align hahn_series.order_le_of_coeff_ne_zero HahnSeries.order_le_of_coeff_ne_zero
 
+#print HahnSeries.order_single /-
 @[simp]
 theorem order_single (h : r ≠ 0) : (single a r).order = a :=
   (order_of_ne (single_ne_zero h)).trans
     (support_single_subset
       ((single a r).isWf_support.min_mem (support_nonempty_iff.2 (single_ne_zero h))))
 #align hahn_series.order_single HahnSeries.order_single
+-/
 
+/- warning: hahn_series.coeff_eq_zero_of_lt_order -> HahnSeries.coeff_eq_zero_of_lt_order is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_eq_zero_of_lt_order HahnSeries.coeff_eq_zero_of_lt_orderₓ'. -/
 theorem coeff_eq_zero_of_lt_order {x : HahnSeries Γ R} {i : Γ} (hi : i < x.order) : x.coeff i = 0 :=
   by
   rcases eq_or_ne x 0 with (rfl | hx)
@@ -267,6 +409,12 @@ section Domain
 
 variable {Γ' : Type _} [PartialOrder Γ']
 
+/- warning: hahn_series.emb_domain -> HahnSeries.embDomain is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align hahn_series.emb_domain HahnSeries.embDomainₓ'. -/
 /-- Extends the domain of a `hahn_series` by an `order_embedding`. -/
 def embDomain (f : Γ ↪o Γ') : HahnSeries Γ R → HahnSeries Γ' R := fun x =>
   { coeff := fun b : Γ' => if h : b ∈ f '' x.support then x.coeff (Classical.choose h) else 0
@@ -277,6 +425,12 @@ def embDomain (f : Γ ↪o Γ') : HahnSeries Γ R → HahnSeries Γ' R := fun x
         rw [Function.mem_support, dif_neg hb, Classical.not_not] }
 #align hahn_series.emb_domain HahnSeries.embDomain
 
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 @[simp]
 theorem embDomain_coeff {f : Γ ↪o Γ'} {x : HahnSeries Γ R} {a : Γ} :
     (embDomain f x).coeff (f a) = x.coeff a :=
@@ -292,6 +446,12 @@ theorem embDomain_coeff {f : Γ ↪o Γ'} {x : HahnSeries Γ R} {a : Γ} :
     rwa [f.injective hb2] at hb1
 #align hahn_series.emb_domain_coeff HahnSeries.embDomain_coeff
 
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 @[simp]
 theorem embDomain_mk_coeff {f : Γ → Γ'} (hfi : Function.Injective f)
     (hf : ∀ g g' : Γ, f g ≤ f g' ↔ g ≤ g') {x : HahnSeries Γ R} {a : Γ} :
@@ -299,11 +459,23 @@ theorem embDomain_mk_coeff {f : Γ → Γ'} (hfi : Function.Injective f)
   embDomain_coeff
 #align hahn_series.emb_domain_mk_coeff HahnSeries.embDomain_mk_coeff
 
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 theorem embDomain_notin_image_support {f : Γ ↪o Γ'} {x : HahnSeries Γ R} {b : Γ'}
     (hb : b ∉ f '' x.support) : (embDomain f x).coeff b = 0 :=
   dif_neg hb
 #align hahn_series.emb_domain_notin_image_support HahnSeries.embDomain_notin_image_support
 
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+Case conversion may be inaccurate. Consider using '#align hahn_series.support_emb_domain_subset HahnSeries.support_embDomain_subsetₓ'. -/
 theorem support_embDomain_subset {f : Γ ↪o Γ'} {x : HahnSeries Γ R} :
     support (embDomain f x) ⊆ f '' x.support :=
   by
@@ -312,11 +484,23 @@ theorem support_embDomain_subset {f : Γ ↪o Γ'} {x : HahnSeries Γ R} :
   rw [mem_support, emb_domain_notin_image_support hg, Classical.not_not]
 #align hahn_series.support_emb_domain_subset HahnSeries.support_embDomain_subset
 
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 theorem embDomain_notin_range {f : Γ ↪o Γ'} {x : HahnSeries Γ R} {b : Γ'} (hb : b ∉ Set.range f) :
     (embDomain f x).coeff b = 0 :=
   embDomain_notin_image_support fun con => hb (Set.image_subset_range _ _ Con)
 #align hahn_series.emb_domain_notin_range HahnSeries.embDomain_notin_range
 
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 @[simp]
 theorem embDomain_zero {f : Γ ↪o Γ'} : embDomain f (0 : HahnSeries Γ R) = 0 :=
   by
@@ -324,6 +508,12 @@ theorem embDomain_zero {f : Γ ↪o Γ'} : embDomain f (0 : HahnSeries Γ R) = 0
   simp [emb_domain_notin_image_support]
 #align hahn_series.emb_domain_zero HahnSeries.embDomain_zero
 
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 @[simp]
 theorem embDomain_single {f : Γ ↪o Γ'} {g : Γ} {r : R} :
     embDomain f (single g r) = single (f g) r :=
@@ -337,6 +527,12 @@ theorem embDomain_single {f : Γ ↪o Γ'} {g : Γ} {r : R} :
   rwa [support_single_of_ne hr, Set.image_singleton, Set.mem_singleton_iff]
 #align hahn_series.emb_domain_single HahnSeries.embDomain_single
 
+/- warning: hahn_series.emb_domain_injective -> HahnSeries.embDomain_injective is a dubious translation:
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 theorem embDomain_injective {f : Γ ↪o Γ'} :
     Function.Injective (embDomain f : HahnSeries Γ R → HahnSeries Γ' R) := fun x y xy =>
   by
@@ -376,15 +572,33 @@ instance : AddMonoid (HahnSeries Γ R) where
     ext
     apply add_zero
 
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 @[simp]
 theorem add_coeff' {x y : HahnSeries Γ R} : (x + y).coeff = x.coeff + y.coeff :=
   rfl
 #align hahn_series.add_coeff' HahnSeries.add_coeff'
 
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 theorem add_coeff {x y : HahnSeries Γ R} {a : Γ} : (x + y).coeff a = x.coeff a + y.coeff a :=
   rfl
 #align hahn_series.add_coeff HahnSeries.add_coeff
 
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+but is expected to have type
+  forall {Γ : Type.{u2}} {R : Type.{u1}} [_inst_1 : PartialOrder.{u2} Γ] [_inst_2 : AddMonoid.{u1} R] {x : HahnSeries.{u2, u1} Γ R _inst_1 (AddMonoid.toZero.{u1} R _inst_2)} {y : HahnSeries.{u2, u1} Γ R _inst_1 (AddMonoid.toZero.{u1} R _inst_2)}, HasSubset.Subset.{u2} (Set.{u2} Γ) (Set.instHasSubsetSet.{u2} Γ) (HahnSeries.support.{u2, u1} Γ R _inst_1 (AddMonoid.toZero.{u1} R _inst_2) (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (AddMonoid.toZero.{u1} R _inst_2)) (HahnSeries.{u2, u1} Γ R _inst_1 (AddMonoid.toZero.{u1} R _inst_2)) (HahnSeries.{u2, u1} Γ R _inst_1 (AddMonoid.toZero.{u1} R _inst_2)) (instHAdd.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (AddMonoid.toZero.{u1} R _inst_2)) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} Γ R _inst_1 _inst_2)) x y)) (Union.union.{u2} (Set.{u2} Γ) (Set.instUnionSet.{u2} Γ) (HahnSeries.support.{u2, u1} Γ R _inst_1 (AddMonoid.toZero.{u1} R _inst_2) x) (HahnSeries.support.{u2, u1} Γ R _inst_1 (AddMonoid.toZero.{u1} R _inst_2) y))
+Case conversion may be inaccurate. Consider using '#align hahn_series.support_add_subset HahnSeries.support_add_subsetₓ'. -/
 theorem support_add_subset {x y : HahnSeries Γ R} : support (x + y) ⊆ support x ∪ support y :=
   fun a ha => by
   rw [mem_support, add_coeff] at ha
@@ -393,6 +607,12 @@ theorem support_add_subset {x y : HahnSeries Γ R} : support (x + y) ⊆ support
   rw [ha.1, ha.2, add_zero]
 #align hahn_series.support_add_subset HahnSeries.support_add_subset
 
+/- warning: hahn_series.min_order_le_order_add -> HahnSeries.min_order_le_order_add is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_2 : AddMonoid.{u1} R] {Γ : Type.{u2}} [_inst_3 : LinearOrderedCancelAddCommMonoid.{u2} Γ] {x : HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R _inst_2))} {y : HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R _inst_2))}, (Ne.{succ (max u2 u1)} (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R _inst_2))) (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ 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(LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R _inst_2))))))) -> (LE.le.{u2} Γ (Preorder.toHasLe.{u2} Γ (PartialOrder.toPreorder.{u2} Γ (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)))) (LinearOrder.min.{u2} Γ (LinearOrderedAddCommMonoid.toLinearOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u2} Γ _inst_3)) (HahnSeries.order.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R _inst_2)) (AddZeroClass.toHasZero.{u2} Γ (AddMonoid.toAddZeroClass.{u2} Γ (AddRightCancelMonoid.toAddMonoid.{u2} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u2} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3))))))) x) (HahnSeries.order.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R _inst_2)) (AddZeroClass.toHasZero.{u2} Γ (AddMonoid.toAddZeroClass.{u2} Γ (AddRightCancelMonoid.toAddMonoid.{u2} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u2} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3))))))) y)) (HahnSeries.order.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R _inst_2)) (AddZeroClass.toHasZero.{u2} Γ (AddMonoid.toAddZeroClass.{u2} Γ (AddRightCancelMonoid.toAddMonoid.{u2} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u2} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3))))))) (HAdd.hAdd.{max u2 u1, max u2 u1, max u2 u1} (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R _inst_2))) (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R _inst_2))) (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R _inst_2))) (instHAdd.{max u2 u1} (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddZeroClass.toHasZero.{u1} R (AddMonoid.toAddZeroClass.{u1} R _inst_2))) (HahnSeries.hasAdd.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) _inst_2)) x y)))
+but is expected to have type
+  forall {R : Type.{u1}} [_inst_2 : AddMonoid.{u1} R] {Γ : Type.{u2}} [_inst_3 : LinearOrderedCancelAddCommMonoid.{u2} Γ] {x : HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddMonoid.toZero.{u1} R _inst_2)} {y : HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddMonoid.toZero.{u1} R _inst_2)}, (Ne.{max (succ u1) (succ u2)} (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddMonoid.toZero.{u1} R _inst_2)) (HAdd.hAdd.{max u1 u2, max u1 u2, max u1 u2} (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddMonoid.toZero.{u1} R _inst_2)) (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddMonoid.toZero.{u1} R _inst_2)) (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddMonoid.toZero.{u1} R _inst_2)) (instHAdd.{max u1 u2} (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddMonoid.toZero.{u1} R _inst_2)) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) _inst_2)) x y) (OfNat.ofNat.{max u1 u2} (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddMonoid.toZero.{u1} R _inst_2)) 0 (Zero.toOfNat0.{max u1 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(OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3))))) (HAdd.hAdd.{max u1 u2, max u1 u2, max u1 u2} (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddMonoid.toZero.{u1} R _inst_2)) (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddMonoid.toZero.{u1} R _inst_2)) (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddMonoid.toZero.{u1} R _inst_2)) (instHAdd.{max u1 u2} (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) (AddMonoid.toZero.{u1} R _inst_2)) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_3)) _inst_2)) x y)))
+Case conversion may be inaccurate. Consider using '#align hahn_series.min_order_le_order_add HahnSeries.min_order_le_order_addₓ'. -/
 theorem min_order_le_order_add {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x y : HahnSeries Γ R}
     (hxy : x + y ≠ 0) : min x.order y.order ≤ (x + y).order :=
   by
@@ -405,6 +625,12 @@ theorem min_order_le_order_add {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x y :
   rw [Set.IsWf.min_union]
 #align hahn_series.min_order_le_order_add HahnSeries.min_order_le_order_add
 
+/- warning: hahn_series.single.add_monoid_hom -> HahnSeries.single.addMonoidHom is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : PartialOrder.{u1} Γ] [_inst_2 : AddMonoid.{u2} R], Γ -> (AddMonoidHom.{u2, max u1 u2} R (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R _inst_2))) (AddMonoid.toAddZeroClass.{u2} R _inst_2) (AddMonoid.toAddZeroClass.{max u1 u2} (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R _inst_2))) (HahnSeries.addMonoid.{u1, u2} Γ R _inst_1 _inst_2)))
+but is expected to have type
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : PartialOrder.{u1} Γ] [_inst_2 : AddMonoid.{u2} R], Γ -> (AddMonoidHom.{u2, max u2 u1} R (HahnSeries.{u1, u2} Γ R _inst_1 (AddMonoid.toZero.{u2} R _inst_2)) (AddMonoid.toAddZeroClass.{u2} R _inst_2) (AddMonoid.toAddZeroClass.{max u1 u2} (HahnSeries.{u1, u2} Γ R _inst_1 (AddMonoid.toZero.{u2} R _inst_2)) (HahnSeries.instAddMonoidHahnSeriesToZero.{u1, u2} Γ R _inst_1 _inst_2)))
+Case conversion may be inaccurate. Consider using '#align hahn_series.single.add_monoid_hom HahnSeries.single.addMonoidHomₓ'. -/
 /-- `single` as an additive monoid/group homomorphism -/
 @[simps]
 def single.addMonoidHom (a : Γ) : R →+ HahnSeries Γ R :=
@@ -414,6 +640,12 @@ def single.addMonoidHom (a : Γ) : R →+ HahnSeries Γ R :=
       by_cases h : b = a <;> simp [h] }
 #align hahn_series.single.add_monoid_hom HahnSeries.single.addMonoidHom
 
+/- warning: hahn_series.coeff.add_monoid_hom -> HahnSeries.coeff.addMonoidHom is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : PartialOrder.{u1} Γ] [_inst_2 : AddMonoid.{u2} R], Γ -> (AddMonoidHom.{max u1 u2, u2} (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R _inst_2))) R (AddMonoid.toAddZeroClass.{max u1 u2} (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R _inst_2))) (HahnSeries.addMonoid.{u1, u2} Γ R _inst_1 _inst_2)) (AddMonoid.toAddZeroClass.{u2} R _inst_2))
+but is expected to have type
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : PartialOrder.{u1} Γ] [_inst_2 : AddMonoid.{u2} R], Γ -> (AddMonoidHom.{max u2 u1, u2} (HahnSeries.{u1, u2} Γ R _inst_1 (AddMonoid.toZero.{u2} R _inst_2)) R (AddMonoid.toAddZeroClass.{max u1 u2} (HahnSeries.{u1, u2} Γ R _inst_1 (AddMonoid.toZero.{u2} R _inst_2)) (HahnSeries.instAddMonoidHahnSeriesToZero.{u1, u2} Γ R _inst_1 _inst_2)) (AddMonoid.toAddZeroClass.{u2} R _inst_2))
+Case conversion may be inaccurate. Consider using '#align hahn_series.coeff.add_monoid_hom HahnSeries.coeff.addMonoidHomₓ'. -/
 /-- `coeff g` as an additive monoid/group homomorphism -/
 @[simps]
 def coeff.addMonoidHom (g : Γ) : HahnSeries Γ R →+ R
@@ -427,6 +659,12 @@ section Domain
 
 variable {Γ' : Type _} [PartialOrder Γ']
 
+/- warning: hahn_series.emb_domain_add -> HahnSeries.embDomain_add is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align hahn_series.emb_domain_add HahnSeries.embDomain_addₓ'. -/
 theorem embDomain_add (f : Γ ↪o Γ') (x y : HahnSeries Γ R) :
     embDomain f (x + y) = embDomain f x + embDomain f y :=
   by
@@ -463,15 +701,33 @@ instance : AddGroup (HahnSeries Γ R) :=
       ext
       apply add_left_neg }
 
+/- warning: hahn_series.neg_coeff' -> HahnSeries.neg_coeff' is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align hahn_series.neg_coeff' HahnSeries.neg_coeff'ₓ'. -/
 @[simp]
 theorem neg_coeff' {x : HahnSeries Γ R} : (-x).coeff = -x.coeff :=
   rfl
 #align hahn_series.neg_coeff' HahnSeries.neg_coeff'
 
+/- warning: hahn_series.neg_coeff -> HahnSeries.neg_coeff is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align hahn_series.neg_coeff HahnSeries.neg_coeffₓ'. -/
 theorem neg_coeff {x : HahnSeries Γ R} {a : Γ} : (-x).coeff a = -x.coeff a :=
   rfl
 #align hahn_series.neg_coeff HahnSeries.neg_coeff
 
+/- warning: hahn_series.support_neg -> HahnSeries.support_neg is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align hahn_series.support_neg HahnSeries.support_negₓ'. -/
 @[simp]
 theorem support_neg {x : HahnSeries Γ R} : (-x).support = x.support :=
   by
@@ -479,6 +735,12 @@ theorem support_neg {x : HahnSeries Γ R} : (-x).support = x.support :=
   simp
 #align hahn_series.support_neg HahnSeries.support_neg
 
+/- warning: hahn_series.sub_coeff' -> HahnSeries.sub_coeff' is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : PartialOrder.{u1} Γ] [_inst_2 : AddGroup.{u2} R] {x : HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))} {y : HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))}, Eq.{max (succ u1) (succ u2)} (Γ -> R) (HahnSeries.coeff.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2)))) (HSub.hSub.{max u1 u2, max u1 u2, max u1 u2} (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))) (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))) (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))) (instHSub.{max u1 u2} (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))) (SubNegMonoid.toHasSub.{max u1 u2} (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))) (AddGroup.toSubNegMonoid.{max u1 u2} (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))) (HahnSeries.addGroup.{u1, u2} Γ R _inst_1 _inst_2)))) x y)) (HSub.hSub.{max u1 u2, max u1 u2, max u1 u2} (Γ -> R) (Γ -> R) (Γ -> R) (instHSub.{max u1 u2} (Γ -> R) (Pi.instSub.{u1, u2} Γ (fun (ᾰ : Γ) => R) (fun (i : Γ) => SubNegMonoid.toHasSub.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2)))) (HahnSeries.coeff.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2)))) x) (HahnSeries.coeff.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2)))) y))
+but is expected to have type
+  forall {Γ : Type.{u2}} {R : Type.{u1}} [_inst_1 : PartialOrder.{u2} Γ] [_inst_2 : AddGroup.{u1} R] {x : HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))} {y : HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))}, Eq.{max (succ u2) (succ u1)} (Γ -> R) (HahnSeries.coeff.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2)))) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (instHSub.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (SubNegMonoid.toSub.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (AddGroup.toSubNegMonoid.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (HahnSeries.instAddGroupHahnSeriesToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoid.{u2, u1} Γ R _inst_1 _inst_2)))) x y)) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (Γ -> R) (Γ -> R) (Γ -> R) (instHSub.{max u2 u1} (Γ -> R) (Pi.instSub.{u2, u1} Γ (fun (ᾰ : Γ) => R) (fun (i : Γ) => SubNegMonoid.toSub.{u1} R (AddGroup.toSubNegMonoid.{u1} R _inst_2)))) (HahnSeries.coeff.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2)))) x) (HahnSeries.coeff.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2)))) y))
+Case conversion may be inaccurate. Consider using '#align hahn_series.sub_coeff' HahnSeries.sub_coeff'ₓ'. -/
 @[simp]
 theorem sub_coeff' {x y : HahnSeries Γ R} : (x - y).coeff = x.coeff - y.coeff :=
   by
@@ -486,10 +748,22 @@ theorem sub_coeff' {x y : HahnSeries Γ R} : (x - y).coeff = x.coeff - y.coeff :
   simp [sub_eq_add_neg]
 #align hahn_series.sub_coeff' HahnSeries.sub_coeff'
 
+/- warning: hahn_series.sub_coeff -> HahnSeries.sub_coeff is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : PartialOrder.{u1} Γ] [_inst_2 : AddGroup.{u2} R] {x : HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))} {y : HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))} {a : Γ}, Eq.{succ u2} R (HahnSeries.coeff.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2)))) (HSub.hSub.{max u1 u2, max u1 u2, max u1 u2} (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))) (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))) (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))) (instHSub.{max u1 u2} (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))) (SubNegMonoid.toHasSub.{max u1 u2} (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))) (AddGroup.toSubNegMonoid.{max u1 u2} (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))) (HahnSeries.addGroup.{u1, u2} Γ R _inst_1 _inst_2)))) x y) a) (HSub.hSub.{u2, u2, u2} R R R (instHSub.{u2} R (SubNegMonoid.toHasSub.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))) (HahnSeries.coeff.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2)))) x a) (HahnSeries.coeff.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2)))) y a))
+but is expected to have type
+  forall {Γ : Type.{u2}} {R : Type.{u1}} [_inst_1 : PartialOrder.{u2} Γ] [_inst_2 : AddGroup.{u1} R] {x : HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))} {y : HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))} {a : Γ}, Eq.{succ u1} R (HahnSeries.coeff.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2)))) (HSub.hSub.{max u2 u1, max u2 u1, max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (instHSub.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (SubNegMonoid.toSub.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (AddGroup.toSubNegMonoid.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (HahnSeries.instAddGroupHahnSeriesToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoid.{u2, u1} Γ R _inst_1 _inst_2)))) x y) a) (HSub.hSub.{u1, u1, u1} R R R (instHSub.{u1} R (SubNegMonoid.toSub.{u1} R (AddGroup.toSubNegMonoid.{u1} R _inst_2))) (HahnSeries.coeff.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2)))) x a) (HahnSeries.coeff.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2)))) y a))
+Case conversion may be inaccurate. Consider using '#align hahn_series.sub_coeff HahnSeries.sub_coeffₓ'. -/
 theorem sub_coeff {x y : HahnSeries Γ R} {a : Γ} : (x - y).coeff a = x.coeff a - y.coeff a := by
   simp
 #align hahn_series.sub_coeff HahnSeries.sub_coeff
 
+/- warning: hahn_series.order_neg -> HahnSeries.order_neg is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : PartialOrder.{u1} Γ] [_inst_2 : AddGroup.{u2} R] [_inst_3 : Zero.{u1} Γ] {f : HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))}, Eq.{succ u1} Γ (HahnSeries.order.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2)))) _inst_3 (Neg.neg.{max u1 u2} (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))) (SubNegMonoid.toHasNeg.{max u1 u2} (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))) (AddGroup.toSubNegMonoid.{max u1 u2} (HahnSeries.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2))))) (HahnSeries.addGroup.{u1, u2} Γ R _inst_1 _inst_2))) f)) (HahnSeries.order.{u1, u2} Γ R _inst_1 (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (SubNegMonoid.toAddMonoid.{u2} R (AddGroup.toSubNegMonoid.{u2} R _inst_2)))) _inst_3 f)
+but is expected to have type
+  forall {Γ : Type.{u2}} {R : Type.{u1}} [_inst_1 : PartialOrder.{u2} Γ] [_inst_2 : AddGroup.{u1} R] [_inst_3 : Zero.{u2} Γ] {f : HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))}, Eq.{succ u2} Γ (HahnSeries.order.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2)))) _inst_3 (Neg.neg.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (NegZeroClass.toNeg.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (SubNegZeroMonoid.toNegZeroClass.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (SubtractionMonoid.toSubNegZeroMonoid.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (AddGroup.toSubtractionMonoid.{max u2 u1} (HahnSeries.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2))))) (HahnSeries.instAddGroupHahnSeriesToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoid.{u2, u1} Γ R _inst_1 _inst_2))))) f)) (HahnSeries.order.{u2, u1} Γ R _inst_1 (NegZeroClass.toZero.{u1} R (SubNegZeroMonoid.toNegZeroClass.{u1} R (SubtractionMonoid.toSubNegZeroMonoid.{u1} R (AddGroup.toSubtractionMonoid.{u1} R _inst_2)))) _inst_3 f)
+Case conversion may be inaccurate. Consider using '#align hahn_series.order_neg HahnSeries.order_negₓ'. -/
 @[simp]
 theorem order_neg [Zero Γ] {f : HahnSeries Γ R} : (-f).order = f.order :=
   by
@@ -514,6 +788,12 @@ instance : SMul R (HahnSeries Γ V) :=
     { coeff := r • x.coeff
       isPwo_support' := x.isPwo_support.mono (Function.support_smul_subset_right r x.coeff) }⟩
 
+/- warning: hahn_series.smul_coeff -> HahnSeries.smul_coeff is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : PartialOrder.{u1} Γ] {V : Type.{u3}} [_inst_2 : Monoid.{u2} R] [_inst_3 : AddMonoid.{u3} V] [_inst_4 : DistribMulAction.{u2, u3} R V _inst_2 _inst_3] {r : R} {x : HahnSeries.{u1, u3} Γ V _inst_1 (AddZeroClass.toHasZero.{u3} V (AddMonoid.toAddZeroClass.{u3} V _inst_3))} {a : Γ}, Eq.{succ u3} V (HahnSeries.coeff.{u1, u3} Γ V _inst_1 (AddZeroClass.toHasZero.{u3} V (AddMonoid.toAddZeroClass.{u3} V _inst_3)) (SMul.smul.{u2, max u1 u3} R (HahnSeries.{u1, u3} Γ V _inst_1 (AddZeroClass.toHasZero.{u3} V (AddMonoid.toAddZeroClass.{u3} V _inst_3))) (HahnSeries.hasSmul.{u1, u2, u3} Γ R _inst_1 V _inst_2 _inst_3 _inst_4) r x) a) (SMul.smul.{u2, u3} R V (SMulZeroClass.toHasSmul.{u2, u3} R V (AddZeroClass.toHasZero.{u3} V (AddMonoid.toAddZeroClass.{u3} V _inst_3)) (DistribSMul.toSmulZeroClass.{u2, u3} R V (AddMonoid.toAddZeroClass.{u3} V _inst_3) (DistribMulAction.toDistribSMul.{u2, u3} R V _inst_2 _inst_3 _inst_4))) r (HahnSeries.coeff.{u1, u3} Γ V _inst_1 (AddZeroClass.toHasZero.{u3} V (AddMonoid.toAddZeroClass.{u3} V _inst_3)) x a))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align hahn_series.smul_coeff HahnSeries.smul_coeffₓ'. -/
 @[simp]
 theorem smul_coeff {r : R} {x : HahnSeries Γ V} {a : Γ} : (r • x).coeff a = r • x.coeff a :=
   rfl
@@ -563,6 +843,12 @@ instance : Module R (HahnSeries Γ V) :=
       ext
       simp [add_smul] }
 
+/- warning: hahn_series.single.linear_map -> HahnSeries.single.linearMap is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align hahn_series.single.linear_map HahnSeries.single.linearMapₓ'. -/
 /-- `single` as a linear map -/
 @[simps]
 def single.linearMap (a : Γ) : R →ₗ[R] HahnSeries Γ R :=
@@ -572,6 +858,12 @@ def single.linearMap (a : Γ) : R →ₗ[R] HahnSeries Γ R :=
       by_cases h : b = a <;> simp [h] }
 #align hahn_series.single.linear_map HahnSeries.single.linearMap
 
+/- warning: hahn_series.coeff.linear_map -> HahnSeries.coeff.linearMap is a dubious translation:
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+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : PartialOrder.{u1} Γ] [_inst_2 : Semiring.{u2} R], Γ -> (LinearMap.{u2, u2, max u1 u2, u2} R R _inst_2 _inst_2 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_2)) (HahnSeries.{u1, u2} Γ R _inst_1 (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_2))))) R (HahnSeries.addCommMonoid.{u1, u2} Γ R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_2)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_2))) (HahnSeries.module.{u1, u2, u2} Γ R _inst_1 _inst_2 R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_2))) (Semiring.toModule.{u2} R _inst_2)) (Semiring.toModule.{u2} R _inst_2))
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+Case conversion may be inaccurate. Consider using '#align hahn_series.coeff.linear_map HahnSeries.coeff.linearMapₓ'. -/
 /-- `coeff g` as a linear map -/
 @[simps]
 def coeff.linearMap (g : Γ) : HahnSeries Γ R →ₗ[R] R :=
@@ -582,6 +874,12 @@ section Domain
 
 variable {Γ' : Type _} [PartialOrder Γ']
 
+/- warning: hahn_series.emb_domain_smul -> HahnSeries.embDomain_smul is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align hahn_series.emb_domain_smul HahnSeries.embDomain_smulₓ'. -/
 theorem embDomain_smul (f : Γ ↪o Γ') (r : R) (x : HahnSeries Γ R) :
     embDomain f (r • x) = r • embDomain f x := by
   ext g
@@ -591,6 +889,12 @@ theorem embDomain_smul (f : Γ ↪o Γ') (r : R) (x : HahnSeries Γ R) :
   · simp [emb_domain_notin_range, hg]
 #align hahn_series.emb_domain_smul HahnSeries.embDomain_smul
 
+/- warning: hahn_series.emb_domain_linear_map -> HahnSeries.embDomainLinearMap is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align hahn_series.emb_domain_linear_map HahnSeries.embDomainLinearMapₓ'. -/
 /-- Extending the domain of Hahn series is a linear map. -/
 @[simps]
 def embDomainLinearMap (f : Γ ↪o Γ') : HahnSeries Γ R →ₗ[R] HahnSeries Γ' R
@@ -611,22 +915,46 @@ variable [OrderedCancelAddCommMonoid Γ]
 instance [Zero R] [One R] : One (HahnSeries Γ R) :=
   ⟨single 0 1⟩
 
+/- warning: hahn_series.one_coeff -> HahnSeries.one_coeff is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align hahn_series.one_coeff HahnSeries.one_coeffₓ'. -/
 @[simp]
 theorem one_coeff [Zero R] [One R] {a : Γ} :
     (1 : HahnSeries Γ R).coeff a = if a = 0 then 1 else 0 :=
   single_coeff
 #align hahn_series.one_coeff HahnSeries.one_coeff
 
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 @[simp]
 theorem single_zero_one [Zero R] [One R] : single 0 (1 : R) = 1 :=
   rfl
 #align hahn_series.single_zero_one HahnSeries.single_zero_one
 
+/- warning: hahn_series.support_one -> HahnSeries.support_one is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align hahn_series.support_one HahnSeries.support_oneₓ'. -/
 @[simp]
 theorem support_one [MulZeroOneClass R] [Nontrivial R] : support (1 : HahnSeries Γ R) = {0} :=
   support_single_of_ne one_ne_zero
 #align hahn_series.support_one HahnSeries.support_one
 
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+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : OrderedCancelAddCommMonoid.{u1} Γ] [_inst_2 : MulZeroOneClass.{u2} R], Eq.{succ u1} Γ (HahnSeries.order.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R _inst_2)) (AddZeroClass.toHasZero.{u1} Γ (AddMonoid.toAddZeroClass.{u1} Γ (AddRightCancelMonoid.toAddMonoid.{u1} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ _inst_1)))))) (OfNat.ofNat.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R _inst_2))) 1 (OfNat.mk.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R _inst_2))) 1 (One.one.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.hasOne.{u1, u2} Γ R _inst_1 (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R _inst_2)) (MulOneClass.toHasOne.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R _inst_2))))))) (OfNat.ofNat.{u1} Γ 0 (OfNat.mk.{u1} Γ 0 (Zero.zero.{u1} Γ (AddZeroClass.toHasZero.{u1} Γ (AddMonoid.toAddZeroClass.{u1} Γ (AddRightCancelMonoid.toAddMonoid.{u1} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ _inst_1)))))))))
+but is expected to have type
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : OrderedCancelAddCommMonoid.{u1} Γ] [_inst_2 : MulZeroOneClass.{u2} R], Eq.{succ u1} Γ (HahnSeries.order.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroOneClass.toZero.{u2} R _inst_2) (AddRightCancelMonoid.toZero.{u1} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ _inst_1)))) (OfNat.ofNat.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroOneClass.toZero.{u2} R _inst_2)) 1 (One.toOfNat1.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroOneClass.toZero.{u2} R _inst_2)) (HahnSeries.instOneHahnSeriesToPartialOrder.{u1, u2} Γ R _inst_1 (MulZeroOneClass.toZero.{u2} R _inst_2) (MulOneClass.toOne.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R _inst_2)))))) (OfNat.ofNat.{u1} Γ 0 (Zero.toOfNat0.{u1} Γ (AddRightCancelMonoid.toZero.{u1} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ _inst_1))))))
+Case conversion may be inaccurate. Consider using '#align hahn_series.order_one HahnSeries.order_oneₓ'. -/
 @[simp]
 theorem order_one [MulZeroOneClass R] : order (1 : HahnSeries Γ R) = 0 :=
   by
@@ -652,6 +980,12 @@ instance [NonUnitalNonAssocSemiring R] : Mul (HahnSeries Γ R)
           simp [not_nonempty_iff_eq_empty.1 ha]
         is_pwo_support_add_antidiagonal.mono h }
 
+/- warning: hahn_series.mul_coeff -> HahnSeries.mul_coeff is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : OrderedCancelAddCommMonoid.{u1} Γ] [_inst_2 : NonUnitalNonAssocSemiring.{u2} R] {x : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {y : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {a : Γ}, Eq.{succ u2} R (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HMul.hMul.{max u1 u2, max u1 u2, max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (instHMul.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.hasMul.{u1, u2} Γ R _inst_1 _inst_2)) x y) a) (Finset.sum.{u2, u1} R (Prod.{u1, u1} Γ Γ) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R _inst_2) (Finset.addAntidiagonal.{u1} Γ _inst_1 (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x) (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y) (HahnSeries.isPwo_support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x) (HahnSeries.isPwo_support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y) a) (fun (ij : Prod.{u1, u1} Γ Γ) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (Distrib.toHasMul.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R _inst_2))) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x (Prod.fst.{u1, u1} Γ Γ ij)) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y (Prod.snd.{u1, u1} Γ Γ ij))))
+but is expected to have type
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : OrderedCancelAddCommMonoid.{u1} Γ] [_inst_2 : NonUnitalNonAssocSemiring.{u2} R] {x : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {y : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {a : Γ}, Eq.{succ u2} R (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HMul.hMul.{max u1 u2, max u1 u2, max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (instHMul.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u1, u2} Γ R _inst_1 _inst_2)) x y) a) (Finset.sum.{u2, u1} R (Prod.{u1, u1} Γ Γ) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R _inst_2) (Finset.addAntidiagonal.{u1} Γ _inst_1 (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x) (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y) (HahnSeries.isPwo_support.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x) (HahnSeries.isPwo_support.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y) a) (fun (ij : Prod.{u1, u1} Γ Γ) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R _inst_2)) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x (Prod.fst.{u1, u1} Γ Γ ij)) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y (Prod.snd.{u1, u1} Γ Γ ij))))
+Case conversion may be inaccurate. Consider using '#align hahn_series.mul_coeff HahnSeries.mul_coeffₓ'. -/
 @[simp]
 theorem mul_coeff [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} :
     (x * y).coeff a =
@@ -659,6 +993,12 @@ theorem mul_coeff [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ}
   rfl
 #align hahn_series.mul_coeff HahnSeries.mul_coeff
 
+/- warning: hahn_series.mul_coeff_right' -> HahnSeries.mul_coeff_right' is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : OrderedCancelAddCommMonoid.{u1} Γ] [_inst_2 : NonUnitalNonAssocSemiring.{u2} R] {x : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {y : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {a : Γ} {s : Set.{u1} Γ} (hs : Set.IsPwo.{u1} Γ (PartialOrder.toPreorder.{u1} Γ (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1)) s), (HasSubset.Subset.{u1} (Set.{u1} Γ) (Set.hasSubset.{u1} Γ) (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y) s) -> (Eq.{succ u2} R (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HMul.hMul.{max u1 u2, max u1 u2, max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (instHMul.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.hasMul.{u1, u2} Γ R _inst_1 _inst_2)) x y) a) (Finset.sum.{u2, u1} R (Prod.{u1, u1} Γ Γ) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R _inst_2) (Finset.addAntidiagonal.{u1} Γ _inst_1 (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x) s (HahnSeries.isPwo_support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x) hs a) (fun (ij : Prod.{u1, u1} Γ Γ) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (Distrib.toHasMul.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R _inst_2))) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x (Prod.fst.{u1, u1} Γ Γ ij)) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y (Prod.snd.{u1, u1} Γ Γ ij)))))
+but is expected to have type
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : OrderedCancelAddCommMonoid.{u1} Γ] [_inst_2 : NonUnitalNonAssocSemiring.{u2} R] {x : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {y : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {a : Γ} {s : Set.{u1} Γ} (hs : Set.IsPwo.{u1} Γ (PartialOrder.toPreorder.{u1} Γ (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1)) s), (HasSubset.Subset.{u1} (Set.{u1} Γ) (Set.instHasSubsetSet.{u1} Γ) (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y) s) -> (Eq.{succ u2} R (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HMul.hMul.{max u1 u2, max u1 u2, max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (instHMul.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u1, u2} Γ R _inst_1 _inst_2)) x y) a) (Finset.sum.{u2, u1} R (Prod.{u1, u1} Γ Γ) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R _inst_2) (Finset.addAntidiagonal.{u1} Γ _inst_1 (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x) s (HahnSeries.isPwo_support.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x) hs a) (fun (ij : Prod.{u1, u1} Γ Γ) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R _inst_2)) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x (Prod.fst.{u1, u1} Γ Γ ij)) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y (Prod.snd.{u1, u1} Γ Γ ij)))))
+Case conversion may be inaccurate. Consider using '#align hahn_series.mul_coeff_right' HahnSeries.mul_coeff_right'ₓ'. -/
 theorem mul_coeff_right' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} {s : Set Γ}
     (hs : s.IsPwo) (hys : y.support ⊆ s) :
     (x * y).coeff a =
@@ -671,6 +1011,12 @@ theorem mul_coeff_right' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {
   rw [hb.2 hb.1.1 hb.1.2.2, MulZeroClass.mul_zero]
 #align hahn_series.mul_coeff_right' HahnSeries.mul_coeff_right'
 
+/- warning: hahn_series.mul_coeff_left' -> HahnSeries.mul_coeff_left' is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : OrderedCancelAddCommMonoid.{u1} Γ] [_inst_2 : NonUnitalNonAssocSemiring.{u2} R] {x : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {y : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {a : Γ} {s : Set.{u1} Γ} (hs : Set.IsPwo.{u1} Γ (PartialOrder.toPreorder.{u1} Γ (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1)) s), (HasSubset.Subset.{u1} (Set.{u1} Γ) (Set.hasSubset.{u1} Γ) (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x) s) -> (Eq.{succ u2} R (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HMul.hMul.{max u1 u2, max u1 u2, max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (instHMul.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.hasMul.{u1, u2} Γ R _inst_1 _inst_2)) x y) a) (Finset.sum.{u2, u1} R (Prod.{u1, u1} Γ Γ) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R _inst_2) (Finset.addAntidiagonal.{u1} Γ _inst_1 s (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y) hs (HahnSeries.isPwo_support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y) a) (fun (ij : Prod.{u1, u1} Γ Γ) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (Distrib.toHasMul.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R _inst_2))) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x (Prod.fst.{u1, u1} Γ Γ ij)) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y (Prod.snd.{u1, u1} Γ Γ ij)))))
+but is expected to have type
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : OrderedCancelAddCommMonoid.{u1} Γ] [_inst_2 : NonUnitalNonAssocSemiring.{u2} R] {x : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {y : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {a : Γ} {s : Set.{u1} Γ} (hs : Set.IsPwo.{u1} Γ (PartialOrder.toPreorder.{u1} Γ (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1)) s), (HasSubset.Subset.{u1} (Set.{u1} Γ) (Set.instHasSubsetSet.{u1} Γ) (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x) s) -> (Eq.{succ u2} R (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HMul.hMul.{max u1 u2, max u1 u2, max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (instHMul.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u1, u2} Γ R _inst_1 _inst_2)) x y) a) (Finset.sum.{u2, u1} R (Prod.{u1, u1} Γ Γ) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R _inst_2) (Finset.addAntidiagonal.{u1} Γ _inst_1 s (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y) hs (HahnSeries.isPwo_support.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y) a) (fun (ij : Prod.{u1, u1} Γ Γ) => HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R _inst_2)) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x (Prod.fst.{u1, u1} Γ Γ ij)) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y (Prod.snd.{u1, u1} Γ Γ ij)))))
+Case conversion may be inaccurate. Consider using '#align hahn_series.mul_coeff_left' HahnSeries.mul_coeff_left'ₓ'. -/
 theorem mul_coeff_left' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} {s : Set Γ}
     (hs : s.IsPwo) (hxs : x.support ⊆ s) :
     (x * y).coeff a =
@@ -709,6 +1055,12 @@ instance [NonUnitalNonAssocSemiring R] : Distrib (HahnSeries Γ R) :=
         intro h
         rw [h.1, h.2, add_zero] }
 
+/- warning: hahn_series.single_mul_coeff_add -> HahnSeries.single_mul_coeff_add 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 hahn_series.single_mul_coeff_add HahnSeries.single_mul_coeff_addₓ'. -/
 theorem single_mul_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeries Γ R} {a : Γ}
     {b : Γ} : (single b r * x).coeff (a + b) = r * x.coeff a :=
   by
@@ -739,6 +1091,12 @@ theorem single_mul_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
   · simp
 #align hahn_series.single_mul_coeff_add HahnSeries.single_mul_coeff_add
 
+/- warning: hahn_series.mul_single_coeff_add -> HahnSeries.mul_single_coeff_add is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : OrderedCancelAddCommMonoid.{u1} Γ] [_inst_2 : NonUnitalNonAssocSemiring.{u2} R] {r : R} {x : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {a : Γ} {b : Γ}, Eq.{succ u2} R (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HMul.hMul.{max u1 u2, max u1 u2, max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (instHMul.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.hasMul.{u1, u2} Γ R _inst_1 _inst_2)) x (coeFn.{max (succ (max u1 u2)) (succ u2), max (succ u2) (succ (max u1 u2))} (ZeroHom.{u2, max u1 u2} R (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HahnSeries.hasZero.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)))) (fun (_x : ZeroHom.{u2, max u1 u2} R (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HahnSeries.hasZero.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)))) => R -> (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)))) (ZeroHom.hasCoeToFun.{u2, max u1 u2} R (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HahnSeries.hasZero.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)))) (HahnSeries.single.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) b) r)) (HAdd.hAdd.{u1, u1, u1} Γ Γ Γ (instHAdd.{u1} Γ (AddZeroClass.toHasAdd.{u1} Γ (AddMonoid.toAddZeroClass.{u1} Γ (AddRightCancelMonoid.toAddMonoid.{u1} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ _inst_1))))))) a b)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (Distrib.toHasMul.{u2} R (NonUnitalNonAssocSemiring.toDistrib.{u2} R _inst_2))) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x a) r)
+but is expected to have type
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : OrderedCancelAddCommMonoid.{u1} Γ] [_inst_2 : NonUnitalNonAssocSemiring.{u2} R] {r : R} {x : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {a : Γ} {b : Γ}, Eq.{succ u2} R (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HMul.hMul.{max u1 u2, max u1 u2, max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.124 : R) => HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) r) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (instHMul.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u1, u2} Γ R _inst_1 _inst_2)) x (FunLike.coe.{max (succ u1) (succ u2), succ u2, max (succ u1) (succ u2)} (ZeroHom.{u2, max u2 u1} R (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HahnSeries.instZeroHahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.124 : R) => HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) _x) (ZeroHomClass.toFunLike.{max u1 u2, u2, max u1 u2} (ZeroHom.{u2, max u2 u1} R (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HahnSeries.instZeroHahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)))) R (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HahnSeries.instZeroHahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (ZeroHom.zeroHomClass.{u2, max u1 u2} R (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HahnSeries.instZeroHahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))))) (HahnSeries.single.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) b) r)) (HAdd.hAdd.{u1, u1, u1} Γ Γ Γ (instHAdd.{u1} Γ (AddZeroClass.toAdd.{u1} Γ (AddMonoid.toAddZeroClass.{u1} Γ (AddRightCancelMonoid.toAddMonoid.{u1} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ _inst_1))))))) a b)) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R _inst_2)) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x a) r)
+Case conversion may be inaccurate. Consider using '#align hahn_series.mul_single_coeff_add HahnSeries.mul_single_coeff_addₓ'. -/
 theorem mul_single_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeries Γ R} {a : Γ}
     {b : Γ} : (x * single b r).coeff (a + b) = x.coeff a * r :=
   by
@@ -767,15 +1125,33 @@ theorem mul_single_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
   · simp
 #align hahn_series.mul_single_coeff_add HahnSeries.mul_single_coeff_add
 
+/- warning: hahn_series.mul_single_zero_coeff -> HahnSeries.mul_single_zero_coeff is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : OrderedCancelAddCommMonoid.{u1} Γ] [_inst_2 : NonUnitalNonAssocSemiring.{u2} R] {r : R} {x : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {a : Γ}, Eq.{succ u2} R (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HMul.hMul.{max u1 u2, max u2 u1, max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.124 : R) => HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) r) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (instHMul.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u1, u2} Γ R _inst_1 _inst_2)) x (FunLike.coe.{max (succ u2) (succ u1), succ u2, max (succ u2) (succ u1)} (ZeroHom.{u2, max u2 u1} R (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HahnSeries.instZeroHahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.124 : R) => HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) _x) (ZeroHomClass.toFunLike.{max u2 u1, u2, max u2 u1} (ZeroHom.{u2, max u2 u1} R (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HahnSeries.instZeroHahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)))) R (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HahnSeries.instZeroHahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (ZeroHom.zeroHomClass.{u2, max u2 u1} R (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HahnSeries.instZeroHahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))))) (HahnSeries.single.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (OfNat.ofNat.{u1} Γ 0 (Zero.toOfNat0.{u1} Γ (AddRightCancelMonoid.toZero.{u1} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ _inst_1))))))) r)) a) (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (NonUnitalNonAssocSemiring.toMul.{u2} R _inst_2)) (HahnSeries.coeff.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x a) r)
+Case conversion may be inaccurate. Consider using '#align hahn_series.mul_single_zero_coeff HahnSeries.mul_single_zero_coeffₓ'. -/
 @[simp]
 theorem mul_single_zero_coeff [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeries Γ R} {a : Γ} :
     (x * single 0 r).coeff a = x.coeff a * r := by rw [← add_zero a, mul_single_coeff_add, add_zero]
 #align hahn_series.mul_single_zero_coeff HahnSeries.mul_single_zero_coeff
 
+/- warning: hahn_series.single_zero_mul_coeff -> HahnSeries.single_zero_mul_coeff is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align hahn_series.single_zero_mul_coeff HahnSeries.single_zero_mul_coeffₓ'. -/
 theorem single_zero_mul_coeff [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeries Γ R} {a : Γ} :
     (single 0 r * x).coeff a = r * x.coeff a := by rw [← add_zero a, single_mul_coeff_add, add_zero]
 #align hahn_series.single_zero_mul_coeff HahnSeries.single_zero_mul_coeff
 
+/- warning: hahn_series.single_zero_mul_eq_smul -> HahnSeries.single_zero_mul_eq_smul is a dubious translation:
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_inst_2)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.124 : R) => HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_2))) _x) (ZeroHomClass.toFunLike.{max u2 u1, u2, max u2 u1} (ZeroHom.{u2, max u2 u1} R (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_2))) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_2)) (HahnSeries.instZeroHahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_2)))) R (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_2))) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_2)) 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(Module.toDistribMulAction.{u2, u2} R R _inst_2 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_2))) (Semiring.toModule.{u2} R _inst_2)))) r x)
+Case conversion may be inaccurate. Consider using '#align hahn_series.single_zero_mul_eq_smul HahnSeries.single_zero_mul_eq_smulₓ'. -/
 @[simp]
 theorem single_zero_mul_eq_smul [Semiring R] {r : R} {x : HahnSeries Γ R} :
     single 0 r * x = r • x := by
@@ -783,6 +1159,12 @@ theorem single_zero_mul_eq_smul [Semiring R] {r : R} {x : HahnSeries Γ R} :
   exact single_zero_mul_coeff
 #align hahn_series.single_zero_mul_eq_smul HahnSeries.single_zero_mul_eq_smul
 
+/- warning: hahn_series.support_mul_subset_add_support -> HahnSeries.support_mul_subset_add_support is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : OrderedCancelAddCommMonoid.{u1} Γ] [_inst_2 : NonUnitalNonAssocSemiring.{u2} R] {x : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))} {y : HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))}, HasSubset.Subset.{u1} (Set.{u1} Γ) (Set.instHasSubsetSet.{u1} Γ) (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) (HMul.hMul.{max u1 u2, max u1 u2, max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (instHMul.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2))) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u1, u2} Γ R _inst_1 _inst_2)) x y)) (HAdd.hAdd.{u1, u1, u1} (Set.{u1} Γ) (Set.{u1} Γ) (Set.{u1} Γ) (instHAdd.{u1} (Set.{u1} Γ) (Set.add.{u1} Γ (AddZeroClass.toAdd.{u1} Γ (AddMonoid.toAddZeroClass.{u1} Γ (AddRightCancelMonoid.toAddMonoid.{u1} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ _inst_1)))))))) (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) x) (HahnSeries.support.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R _inst_2)) y))
+Case conversion may be inaccurate. Consider using '#align hahn_series.support_mul_subset_add_support HahnSeries.support_mul_subset_add_supportₓ'. -/
 theorem support_mul_subset_add_support [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} :
     support (x * y) ⊆ support x + support y :=
   by
@@ -794,6 +1176,12 @@ theorem support_mul_subset_add_support [NonUnitalNonAssocSemiring R] {x y : Hahn
   simp [hx]
 #align hahn_series.support_mul_subset_add_support HahnSeries.support_mul_subset_add_support
 
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+but is expected to have type
+  forall {R : Type.{u1}} {Γ : Type.{u2}} [_inst_2 : LinearOrderedCancelAddCommMonoid.{u2} Γ] [_inst_3 : NonUnitalNonAssocSemiring.{u1} R] (x : HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_2)) (MulZeroClass.toZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R _inst_3))) (y : HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_2)) (MulZeroClass.toZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R _inst_3))), Eq.{succ u1} R (HahnSeries.coeff.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_2)) (MulZeroClass.toZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R _inst_3)) (HMul.hMul.{max u1 u2, max u1 u2, max u1 u2} (HahnSeries.{u2, u1} Γ R 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(AddRightCancelMonoid.toZero.{u2} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u2} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_2))))) y)))
+Case conversion may be inaccurate. Consider using '#align hahn_series.mul_coeff_order_add_order HahnSeries.mul_coeff_order_add_orderₓ'. -/
 theorem mul_coeff_order_add_order {Γ} [LinearOrderedCancelAddCommMonoid Γ]
     [NonUnitalNonAssocSemiring R] (x y : HahnSeries Γ R) :
     (x * y).coeff (x.order + y.order) = x.coeff x.order * y.coeff y.order :=
@@ -923,6 +1311,12 @@ instance {Γ} [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R] :
     IsDomain (HahnSeries Γ R) :=
   NoZeroDivisors.to_isDomain _
 
+/- warning: hahn_series.order_mul -> HahnSeries.order_mul is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_2))))) y)))
+Case conversion may be inaccurate. Consider using '#align hahn_series.order_mul HahnSeries.order_mulₓ'. -/
 @[simp]
 theorem order_mul {Γ} [LinearOrderedCancelAddCommMonoid Γ] [NonUnitalNonAssocSemiring R]
     [NoZeroDivisors R] {x y : HahnSeries Γ R} (hx : x ≠ 0) (hy : y ≠ 0) :
@@ -935,6 +1329,12 @@ theorem order_mul {Γ} [LinearOrderedCancelAddCommMonoid Γ] [NonUnitalNonAssocS
     exact Set.IsWf.min_le_min_of_subset support_mul_subset_add_support
 #align hahn_series.order_mul HahnSeries.order_mul
 
+/- warning: hahn_series.order_pow -> HahnSeries.order_pow 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 hahn_series.order_pow HahnSeries.order_powₓ'. -/
 @[simp]
 theorem order_pow {Γ} [LinearOrderedCancelAddCommMonoid Γ] [Semiring R] [NoZeroDivisors R]
     (x : HahnSeries Γ R) (n : ℕ) : (x ^ n).order = n • x.order :=
@@ -950,6 +1350,12 @@ section NonUnitalNonAssocSemiring
 
 variable [NonUnitalNonAssocSemiring R]
 
+/- warning: hahn_series.single_mul_single -> HahnSeries.single_mul_single is a dubious translation:
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+but is expected to have type
+  forall {Γ : Type.{u2}} {R : Type.{u1}} [_inst_1 : OrderedCancelAddCommMonoid.{u2} Γ] [_inst_2 : NonUnitalNonAssocSemiring.{u1} R] {a : Γ} {b : Γ} {r : R} {s : R}, Eq.{max (succ u2) (succ u1)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.124 : R) => HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ _inst_1) (MulZeroClass.toZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R _inst_2))) r) (HMul.hMul.{max u2 u1, max u2 u1, max u2 u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.124 : R) => HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ _inst_1) (MulZeroClass.toZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R _inst_2))) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.124 : R) => HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ _inst_1) (MulZeroClass.toZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R _inst_2))) s) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.124 : R) => HahnSeries.{u2, 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+Case conversion may be inaccurate. Consider using '#align hahn_series.single_mul_single HahnSeries.single_mul_singleₓ'. -/
 @[simp]
 theorem single_mul_single {a b : Γ} {r s : R} : single a r * single b s = single (a + b) (r * s) :=
   by
@@ -970,9 +1376,15 @@ section NonAssocSemiring
 
 variable [NonAssocSemiring R]
 
+/- warning: hahn_series.C -> HahnSeries.C is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : OrderedCancelAddCommMonoid.{u1} Γ] [_inst_2 : NonAssocSemiring.{u2} R], RingHom.{u2, max u1 u2} R (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R _inst_2)))) _inst_2 (HahnSeries.nonAssocSemiring.{u1, u2} Γ R _inst_1 _inst_2)
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align hahn_series.C HahnSeries.Cₓ'. -/
 /-- `C a` is the constant Hahn Series `a`. `C` is provided as a ring homomorphism. -/
 @[simps]
-def c : R →+* HahnSeries Γ R where
+def C : R →+* HahnSeries Γ R where
   toFun := single 0
   map_zero' := single_eq_zero
   map_one' := rfl
@@ -980,39 +1392,69 @@ def c : R →+* HahnSeries Γ R where
     ext a
     by_cases h : a = 0 <;> simp [h]
   map_mul' x y := by rw [single_mul_single, zero_add]
-#align hahn_series.C HahnSeries.c
-
+#align hahn_series.C HahnSeries.C
+
+/- warning: hahn_series.C_zero -> HahnSeries.C_zero is a dubious translation:
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(OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ _inst_1) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R _inst_2)))))
+Case conversion may be inaccurate. Consider using '#align hahn_series.C_zero HahnSeries.C_zeroₓ'. -/
 @[simp]
-theorem c_zero : c (0 : R) = (0 : HahnSeries Γ R) :=
-  c.map_zero
-#align hahn_series.C_zero HahnSeries.c_zero
-
+theorem C_zero : C (0 : R) = (0 : HahnSeries Γ R) :=
+  C.map_zero
+#align hahn_series.C_zero HahnSeries.C_zero
+
+/- warning: hahn_series.C_one -> HahnSeries.C_one 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 hahn_series.C_one HahnSeries.C_oneₓ'. -/
 @[simp]
-theorem c_one : c (1 : R) = (1 : HahnSeries Γ R) :=
-  c.map_one
-#align hahn_series.C_one HahnSeries.c_one
-
-theorem c_injective : Function.Injective (c : R → HahnSeries Γ R) :=
+theorem C_one : C (1 : R) = (1 : HahnSeries Γ R) :=
+  C.map_one
+#align hahn_series.C_one HahnSeries.C_one
+
+/- warning: hahn_series.C_injective -> HahnSeries.C_injective 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 hahn_series.C_injective HahnSeries.C_injectiveₓ'. -/
+theorem C_injective : Function.Injective (C : R → HahnSeries Γ R) :=
   by
   intro r s rs
   rw [ext_iff, Function.funext_iff] at rs
   have h := rs 0
   rwa [C_apply, single_coeff_same, C_apply, single_coeff_same] at h
-#align hahn_series.C_injective HahnSeries.c_injective
-
-theorem c_ne_zero {r : R} (h : r ≠ 0) : (c r : HahnSeries Γ R) ≠ 0 :=
+#align hahn_series.C_injective HahnSeries.C_injective
+
+/- warning: hahn_series.C_ne_zero -> HahnSeries.C_ne_zero is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align hahn_series.C_ne_zero HahnSeries.C_ne_zeroₓ'. -/
+theorem C_ne_zero {r : R} (h : r ≠ 0) : (C r : HahnSeries Γ R) ≠ 0 :=
   by
   contrapose! h
   rw [← C_zero] at h
   exact C_injective h
-#align hahn_series.C_ne_zero HahnSeries.c_ne_zero
-
-theorem order_c {r : R} : order (c r : HahnSeries Γ R) = 0 :=
+#align hahn_series.C_ne_zero HahnSeries.C_ne_zero
+
+/- warning: hahn_series.order_C -> HahnSeries.order_C 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 hahn_series.order_C HahnSeries.order_Cₓ'. -/
+theorem order_C {r : R} : order (C r : HahnSeries Γ R) = 0 :=
   by
   by_cases h : r = 0
   · rw [h, C_zero, order_zero]
   · exact order_single h
-#align hahn_series.order_C HahnSeries.order_c
+#align hahn_series.order_C HahnSeries.order_C
 
 end NonAssocSemiring
 
@@ -1020,9 +1462,15 @@ section Semiring
 
 variable [Semiring R]
 
-theorem c_mul_eq_smul {r : R} {x : HahnSeries Γ R} : c r * x = r • x :=
+/- warning: hahn_series.C_mul_eq_smul -> HahnSeries.C_mul_eq_smul is a dubious translation:
+lean 3 declaration is
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(OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ _inst_1) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_2))) (HahnSeries.instSMulHahnSeriesToZero.{u2, u1, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ _inst_1) R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_2)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_2)))) (Module.toDistribMulAction.{u1, u1} R R _inst_2 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_2))) (Semiring.toModule.{u1} R _inst_2)))) r x)
+Case conversion may be inaccurate. Consider using '#align hahn_series.C_mul_eq_smul HahnSeries.C_mul_eq_smulₓ'. -/
+theorem C_mul_eq_smul {r : R} {x : HahnSeries Γ R} : C r * x = r • x :=
   single_zero_mul_eq_smul
-#align hahn_series.C_mul_eq_smul HahnSeries.c_mul_eq_smul
+#align hahn_series.C_mul_eq_smul HahnSeries.C_mul_eq_smul
 
 end Semiring
 
@@ -1030,6 +1478,12 @@ section Domain
 
 variable {Γ' : Type _} [OrderedCancelAddCommMonoid Γ']
 
+/- warning: hahn_series.emb_domain_mul -> HahnSeries.embDomain_mul 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 hahn_series.emb_domain_mul HahnSeries.embDomain_mulₓ'. -/
 theorem embDomain_mul [NonUnitalNonAssocSemiring R] (f : Γ ↪o Γ')
     (hf : ∀ x y, f (x + y) = f x + f y) (x y : HahnSeries Γ R) :
     embDomain f (x * y) = embDomain f x * embDomain f y :=
@@ -1067,11 +1521,23 @@ theorem embDomain_mul [NonUnitalNonAssocSemiring R] (f : Γ ↪o Γ')
     refine' ⟨i + j, hf i j⟩
 #align hahn_series.emb_domain_mul HahnSeries.embDomain_mul
 
+/- warning: hahn_series.emb_domain_one -> HahnSeries.embDomain_one is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align hahn_series.emb_domain_one HahnSeries.embDomain_oneₓ'. -/
 theorem embDomain_one [NonAssocSemiring R] (f : Γ ↪o Γ') (hf : f 0 = 0) :
     embDomain f (1 : HahnSeries Γ R) = (1 : HahnSeries Γ' R) :=
   embDomain_single.trans <| hf.symm ▸ rfl
 #align hahn_series.emb_domain_one HahnSeries.embDomain_one
 
+/- warning: hahn_series.emb_domain_ring_hom -> HahnSeries.embDomainRingHom 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 hahn_series.emb_domain_ring_hom HahnSeries.embDomainRingHomₓ'. -/
 /-- Extending the domain of Hahn series is a ring homomorphism. -/
 @[simps]
 def embDomainRingHom [NonAssocSemiring R] (f : Γ →+ Γ') (hfi : Function.Injective f)
@@ -1084,10 +1550,16 @@ def embDomainRingHom [NonAssocSemiring R] (f : Γ →+ Γ') (hfi : Function.Inje
   map_add' := embDomain_add _
 #align hahn_series.emb_domain_ring_hom HahnSeries.embDomainRingHom
 
-theorem embDomainRingHom_c [NonAssocSemiring R] {f : Γ →+ Γ'} {hfi : Function.Injective f}
-    {hf : ∀ g g' : Γ, f g ≤ f g' ↔ g ≤ g'} {r : R} : embDomainRingHom f hfi hf (c r) = c r :=
+/- warning: hahn_series.emb_domain_ring_hom_C -> HahnSeries.embDomainRingHom_C is a dubious translation:
+lean 3 declaration is
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_inst_2) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R _inst_3))))) (RingHom.hasCoeToFun.{max u1 u2, max u3 u2} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R _inst_3)))) (HahnSeries.{u3, u2} Γ' R (OrderedCancelAddCommMonoid.toPartialOrder.{u3} Γ' _inst_2) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R _inst_3)))) (HahnSeries.nonAssocSemiring.{u1, u2} Γ R _inst_1 _inst_3) (HahnSeries.nonAssocSemiring.{u3, u2} Γ' R _inst_2 _inst_3)) (HahnSeries.embDomainRingHom.{u1, u2, u3} Γ R _inst_1 Γ' _inst_2 _inst_3 f hfi hf) (coeFn.{max (succ u2) (succ (max u1 u2)), max (succ u2) (succ (max u1 u2))} (RingHom.{u2, max u1 u2} R (HahnSeries.{u1, u2} Γ R 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(NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R _inst_3)))) _inst_3 (HahnSeries.nonAssocSemiring.{u1, u2} Γ R _inst_1 _inst_3)) (HahnSeries.C.{u1, u2} Γ R _inst_1 _inst_3) r)) (coeFn.{max (succ u2) (succ (max u3 u2)), max (succ u2) (succ (max u3 u2))} (RingHom.{u2, max u3 u2} R (HahnSeries.{u3, u2} Γ' R (OrderedCancelAddCommMonoid.toPartialOrder.{u3} Γ' _inst_2) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R _inst_3)))) _inst_3 (HahnSeries.nonAssocSemiring.{u3, u2} Γ' R _inst_2 _inst_3)) (fun (_x : RingHom.{u2, max u3 u2} R (HahnSeries.{u3, u2} Γ' R (OrderedCancelAddCommMonoid.toPartialOrder.{u3} Γ' _inst_2) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R _inst_3)))) _inst_3 (HahnSeries.nonAssocSemiring.{u3, u2} Γ' R _inst_2 _inst_3)) => R -> (HahnSeries.{u3, u2} Γ' R (OrderedCancelAddCommMonoid.toPartialOrder.{u3} Γ' _inst_2) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R _inst_3))))) (RingHom.hasCoeToFun.{u2, max u3 u2} R (HahnSeries.{u3, u2} Γ' R (OrderedCancelAddCommMonoid.toPartialOrder.{u3} Γ' _inst_2) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R _inst_3)))) _inst_3 (HahnSeries.nonAssocSemiring.{u3, u2} Γ' R _inst_2 _inst_3)) (HahnSeries.C.{u3, u2} Γ' R _inst_2 _inst_3) r)
+but is expected to have type
+  forall {Γ : Type.{u2}} {R : Type.{u3}} [_inst_1 : OrderedCancelAddCommMonoid.{u2} Γ] {Γ' : Type.{u1}} [_inst_2 : OrderedCancelAddCommMonoid.{u1} Γ'] [_inst_3 : NonAssocSemiring.{u3} R] {f : AddMonoidHom.{u2, u1} Γ Γ' (AddMonoid.toAddZeroClass.{u2} Γ (AddRightCancelMonoid.toAddMonoid.{u2} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u2} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ _inst_1))))) (AddMonoid.toAddZeroClass.{u1} Γ' (AddRightCancelMonoid.toAddMonoid.{u1} Γ' (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ' (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ' (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ' _inst_2)))))} {hfi : Function.Injective.{succ u2, succ u1} Γ Γ' (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AddMonoidHom.{u2, u1} Γ Γ' (AddMonoid.toAddZeroClass.{u2} Γ (AddRightCancelMonoid.toAddMonoid.{u2} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u2} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ _inst_1))))) (AddMonoid.toAddZeroClass.{u1} Γ' (AddRightCancelMonoid.toAddMonoid.{u1} Γ' (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ' (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ' (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ' _inst_2)))))) Γ (fun (_x : Γ) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Γ) => Γ') _x) (AddHomClass.toFunLike.{max u2 u1, u2, u1} (AddMonoidHom.{u2, u1} Γ Γ' (AddMonoid.toAddZeroClass.{u2} Γ (AddRightCancelMonoid.toAddMonoid.{u2} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u2} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ _inst_1))))) (AddMonoid.toAddZeroClass.{u1} Γ' (AddRightCancelMonoid.toAddMonoid.{u1} Γ' (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ' (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ' (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ' _inst_2)))))) Γ Γ' (AddZeroClass.toAdd.{u2} Γ (AddMonoid.toAddZeroClass.{u2} Γ (AddRightCancelMonoid.toAddMonoid.{u2} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u2} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ _inst_1)))))) (AddZeroClass.toAdd.{u1} Γ' (AddMonoid.toAddZeroClass.{u1} Γ' (AddRightCancelMonoid.toAddMonoid.{u1} Γ' (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ' (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ' (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ' _inst_2)))))) (AddMonoidHomClass.toAddHomClass.{max u2 u1, u2, u1} (AddMonoidHom.{u2, u1} Γ Γ' (AddMonoid.toAddZeroClass.{u2} Γ (AddRightCancelMonoid.toAddMonoid.{u2} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u2} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ _inst_1))))) (AddMonoid.toAddZeroClass.{u1} Γ' (AddRightCancelMonoid.toAddMonoid.{u1} Γ' (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ' (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ' (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ' _inst_2)))))) Γ Γ' (AddMonoid.toAddZeroClass.{u2} Γ (AddRightCancelMonoid.toAddMonoid.{u2} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u2} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ _inst_1))))) (AddMonoid.toAddZeroClass.{u1} Γ' (AddRightCancelMonoid.toAddMonoid.{u1} Γ' (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ' (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ' (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ' _inst_2))))) (AddMonoidHom.addMonoidHomClass.{u2, u1} Γ Γ' (AddMonoid.toAddZeroClass.{u2} Γ (AddRightCancelMonoid.toAddMonoid.{u2} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u2} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ _inst_1))))) (AddMonoid.toAddZeroClass.{u1} Γ' (AddRightCancelMonoid.toAddMonoid.{u1} Γ' (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ' (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ' (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ' _inst_2)))))))) f)} {hf : forall (g : Γ) (g' : Γ), Iff (LE.le.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Γ) => Γ') g) (Preorder.toLE.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Γ) => Γ') g) (PartialOrder.toPreorder.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Γ) => Γ') g) (OrderedCancelAddCommMonoid.toPartialOrder.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Γ) => Γ') g) _inst_2))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (AddMonoidHom.{u2, u1} Γ Γ' (AddMonoid.toAddZeroClass.{u2} Γ (AddRightCancelMonoid.toAddMonoid.{u2} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u2} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ _inst_1))))) (AddMonoid.toAddZeroClass.{u1} Γ' (AddRightCancelMonoid.toAddMonoid.{u1} Γ' (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ' (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ' (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ' _inst_2)))))) Γ (fun (_x : Γ) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Γ) => Γ') _x) (AddHomClass.toFunLike.{max u2 u1, u2, u1} (AddMonoidHom.{u2, u1} Γ Γ' (AddMonoid.toAddZeroClass.{u2} Γ (AddRightCancelMonoid.toAddMonoid.{u2} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u2} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ _inst_1))))) (AddMonoid.toAddZeroClass.{u1} Γ' (AddRightCancelMonoid.toAddMonoid.{u1} Γ' (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ' (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ' (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ' _inst_2)))))) Γ Γ' (AddZeroClass.toAdd.{u2} Γ (AddMonoid.toAddZeroClass.{u2} Γ (AddRightCancelMonoid.toAddMonoid.{u2} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u2} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ _inst_1)))))) (AddZeroClass.toAdd.{u1} Γ' (AddMonoid.toAddZeroClass.{u1} Γ' (AddRightCancelMonoid.toAddMonoid.{u1} Γ' (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ' (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ' (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ' _inst_2)))))) (AddMonoidHomClass.toAddHomClass.{max u2 u1, u2, u1} (AddMonoidHom.{u2, u1} Γ Γ' (AddMonoid.toAddZeroClass.{u2} Γ (AddRightCancelMonoid.toAddMonoid.{u2} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u2} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ _inst_1))))) (AddMonoid.toAddZeroClass.{u1} Γ' (AddRightCancelMonoid.toAddMonoid.{u1} Γ' (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ' (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ' (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ' _inst_2)))))) Γ Γ' (AddMonoid.toAddZeroClass.{u2} Γ (AddRightCancelMonoid.toAddMonoid.{u2} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u2} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ _inst_1))))) (AddMonoid.toAddZeroClass.{u1} Γ' (AddRightCancelMonoid.toAddMonoid.{u1} Γ' (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ' (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ' (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ' _inst_2))))) (AddMonoidHom.addMonoidHomClass.{u2, u1} Γ Γ' (AddMonoid.toAddZeroClass.{u2} Γ (AddRightCancelMonoid.toAddMonoid.{u2} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u2} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u2} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u2} Γ _inst_1))))) (AddMonoid.toAddZeroClass.{u1} Γ' (AddRightCancelMonoid.toAddMonoid.{u1} Γ' (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ' (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ' (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ' _inst_2)))))))) f g) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} 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+Case conversion may be inaccurate. Consider using '#align hahn_series.emb_domain_ring_hom_C HahnSeries.embDomainRingHom_Cₓ'. -/
+theorem embDomainRingHom_C [NonAssocSemiring R] {f : Γ →+ Γ'} {hfi : Function.Injective f}
+    {hf : ∀ g g' : Γ, f g ≤ f g' ↔ g ≤ g'} {r : R} : embDomainRingHom f hfi hf (C r) = C r :=
   embDomain_single.trans (by simp)
-#align hahn_series.emb_domain_ring_hom_C HahnSeries.embDomainRingHom_c
+#align hahn_series.emb_domain_ring_hom_C HahnSeries.embDomainRingHom_C
 
 end Domain
 
@@ -1097,7 +1569,7 @@ variable [CommSemiring R] {A : Type _} [Semiring A] [Algebra R A]
 
 instance : Algebra R (HahnSeries Γ A)
     where
-  toRingHom := c.comp (algebraMap R A)
+  toRingHom := C.comp (algebraMap R A)
   smul_def' r x := by
     ext
     simp
@@ -1107,11 +1579,23 @@ instance : Algebra R (HahnSeries Γ A)
       Function.comp_apply, algebraMap_smul, mul_single_zero_coeff]
     rw [← Algebra.commutes, Algebra.smul_def]
 
-theorem c_eq_algebraMap : c = algebraMap R (HahnSeries Γ R) :=
+/- warning: hahn_series.C_eq_algebra_map -> HahnSeries.C_eq_algebraMap is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align hahn_series.C_eq_algebra_map HahnSeries.C_eq_algebraMapₓ'. -/
+theorem C_eq_algebraMap : C = algebraMap R (HahnSeries Γ R) :=
   rfl
-#align hahn_series.C_eq_algebra_map HahnSeries.c_eq_algebraMap
-
-theorem algebraMap_apply {r : R} : algebraMap R (HahnSeries Γ A) r = c (algebraMap R A r) :=
+#align hahn_series.C_eq_algebra_map HahnSeries.C_eq_algebraMap
+
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+Case conversion may be inaccurate. Consider using '#align hahn_series.algebra_map_apply HahnSeries.algebraMap_applyₓ'. -/
+theorem algebraMap_apply {r : R} : algebraMap R (HahnSeries Γ A) r = C (algebraMap R A r) :=
   rfl
 #align hahn_series.algebra_map_apply HahnSeries.algebraMap_apply
 
@@ -1131,11 +1615,17 @@ section Domain
 
 variable {Γ' : Type _} [OrderedCancelAddCommMonoid Γ']
 
+/- warning: hahn_series.emb_domain_alg_hom -> HahnSeries.embDomainAlgHom is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ _inst_1))))) (AddMonoid.toAddZeroClass.{u4} Γ' (AddRightCancelMonoid.toAddMonoid.{u4} Γ' (AddCancelMonoid.toAddRightCancelMonoid.{u4} Γ' (AddCancelCommMonoid.toAddCancelMonoid.{u4} Γ' (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u4} Γ' _inst_5)))))) Γ Γ' (AddMonoid.toAddZeroClass.{u1} Γ (AddRightCancelMonoid.toAddMonoid.{u1} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ _inst_1))))) (AddMonoid.toAddZeroClass.{u4} Γ' (AddRightCancelMonoid.toAddMonoid.{u4} Γ' (AddCancelMonoid.toAddRightCancelMonoid.{u4} Γ' (AddCancelCommMonoid.toAddCancelMonoid.{u4} Γ' (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u4} Γ' _inst_5))))) (AddMonoidHom.addMonoidHomClass.{u1, u4} Γ Γ' (AddMonoid.toAddZeroClass.{u1} Γ (AddRightCancelMonoid.toAddMonoid.{u1} Γ (AddCancelMonoid.toAddRightCancelMonoid.{u1} Γ (AddCancelCommMonoid.toAddCancelMonoid.{u1} Γ (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u1} Γ _inst_1))))) (AddMonoid.toAddZeroClass.{u4} Γ' (AddRightCancelMonoid.toAddMonoid.{u4} Γ' (AddCancelMonoid.toAddRightCancelMonoid.{u4} Γ' (AddCancelCommMonoid.toAddCancelMonoid.{u4} Γ' (OrderedCancelAddCommMonoid.toCancelAddCommMonoid.{u4} Γ' _inst_5)))))))) f g')) (LE.le.{u1} Γ (Preorder.toLE.{u1} Γ (PartialOrder.toPreorder.{u1} Γ (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1))) g g')) -> (AlgHom.{u2, max u3 u1, max u3 u4} R (HahnSeries.{u1, u3} Γ A (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ _inst_1) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_3))) (HahnSeries.{u4, u3} Γ' A (OrderedCancelAddCommMonoid.toPartialOrder.{u4} Γ' _inst_5) (MonoidWithZero.toZero.{u3} A (Semiring.toMonoidWithZero.{u3} A _inst_3))) _inst_2 (HahnSeries.instSemiringHahnSeriesToPartialOrderToZeroToMonoidWithZero.{u1, u3} Γ A _inst_1 _inst_3) (HahnSeries.instSemiringHahnSeriesToPartialOrderToZeroToMonoidWithZero.{u4, u3} Γ' A _inst_5 _inst_3) (HahnSeries.instAlgebraHahnSeriesToPartialOrderToZeroToMonoidWithZeroInstSemiringHahnSeriesToPartialOrderToZeroToMonoidWithZero.{u1, u2, u3} Γ R _inst_1 _inst_2 A _inst_3 _inst_4) (HahnSeries.instAlgebraHahnSeriesToPartialOrderToZeroToMonoidWithZeroInstSemiringHahnSeriesToPartialOrderToZeroToMonoidWithZero.{u4, u2, u3} Γ' R _inst_5 _inst_2 A _inst_3 _inst_4))
+Case conversion may be inaccurate. Consider using '#align hahn_series.emb_domain_alg_hom HahnSeries.embDomainAlgHomₓ'. -/
 /-- Extending the domain of Hahn series is an algebra homomorphism. -/
 @[simps]
 def embDomainAlgHom (f : Γ →+ Γ') (hfi : Function.Injective f)
     (hf : ∀ g g' : Γ, f g ≤ f g' ↔ g ≤ g') : HahnSeries Γ A →ₐ[R] HahnSeries Γ' A :=
-  { embDomainRingHom f hfi hf with commutes' := fun r => embDomainRingHom_c }
+  { embDomainRingHom f hfi hf with commutes' := fun r => embDomainRingHom_C }
 #align hahn_series.emb_domain_alg_hom HahnSeries.embDomainAlgHom
 
 end Domain
@@ -1148,6 +1638,12 @@ section Semiring
 
 variable [Semiring R]
 
+/- warning: hahn_series.to_power_series -> HahnSeries.toPowerSeries is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R], RingEquiv.{u1, u1} (HahnSeries.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (PowerSeries.{u1} R) (HahnSeries.hasMul.{0, u1} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (HahnSeries.hasAdd.{0, u1} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toHasMul.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.semiring.{u1} R _inst_1))))) (Distrib.toHasAdd.{u1} (PowerSeries.{u1} R) (NonUnitalNonAssocSemiring.toDistrib.{u1} (PowerSeries.{u1} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (PowerSeries.{u1} R) (Semiring.toNonAssocSemiring.{u1} (PowerSeries.{u1} R) (PowerSeries.semiring.{u1} R _inst_1)))))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align hahn_series.to_power_series HahnSeries.toPowerSeriesₓ'. -/
 /-- The ring `hahn_series ℕ R` is isomorphic to `power_series R`. -/
 @[simps]
 def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R
@@ -1175,11 +1671,23 @@ def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R
       rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
 #align hahn_series.to_power_series HahnSeries.toPowerSeries
 
+/- warning: hahn_series.coeff_to_power_series -> HahnSeries.coeff_toPowerSeries is a dubious translation:
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+but is expected to have type
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(StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) f n)
+Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_to_power_series HahnSeries.coeff_toPowerSeriesₓ'. -/
 theorem coeff_toPowerSeries {f : HahnSeries ℕ R} {n : ℕ} :
     PowerSeries.coeff R n f.toPowerSeries = f.coeff n :=
   PowerSeries.coeff_mk _ _
 #align hahn_series.coeff_to_power_series HahnSeries.coeff_toPowerSeries
 
+/- warning: hahn_series.coeff_to_power_series_symm -> HahnSeries.coeff_toPowerSeries_symm is a dubious translation:
+lean 3 declaration is
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_inst_1))))) (HahnSeries.toPowerSeries.{u1} R _inst_1)) f) n) (coeFn.{succ u1, succ u1} (LinearMap.{u1, u1, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (PowerSeries.{u1} R) R (PowerSeries.addCommMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.module.{u1, u1} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1)) (fun (_x : LinearMap.{u1, u1, u1, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (PowerSeries.{u1} R) R (PowerSeries.addCommMonoid.{u1} 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+but is expected to have type
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_inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (PowerSeries.coeff.{u1} R _inst_1 n) f)
+Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_to_power_series_symm HahnSeries.coeff_toPowerSeries_symmₓ'. -/
 theorem coeff_toPowerSeries_symm {f : PowerSeries R} {n : ℕ} :
     (HahnSeries.toPowerSeries.symm f).coeff n = PowerSeries.coeff R n f :=
   rfl
@@ -1187,6 +1695,12 @@ theorem coeff_toPowerSeries_symm {f : PowerSeries R} {n : ℕ} :
 
 variable (Γ R) [StrictOrderedSemiring Γ]
 
+/- warning: hahn_series.of_power_series -> HahnSeries.ofPowerSeries 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 hahn_series.of_power_series HahnSeries.ofPowerSeriesₓ'. -/
 /-- Casts a power series as a Hahn series with coefficients from an `strict_ordered_semiring`. -/
 def ofPowerSeries : PowerSeries R →+* HahnSeries Γ R :=
   (HahnSeries.embDomainRingHom (Nat.castAddMonoidHom Γ) Nat.strictMono_cast.Injective fun _ _ =>
@@ -1196,10 +1710,22 @@ def ofPowerSeries : PowerSeries R →+* HahnSeries Γ R :=
 
 variable {Γ} {R}
 
+/- warning: hahn_series.of_power_series_injective -> HahnSeries.ofPowerSeries_injective is a dubious translation:
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(NonUnitalNonAssocSemiring.toMul.{u2} (PowerSeries.{u2} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} R) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R 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(Semiring.toMonoidWithZero.{u2} R _inst_1))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (RingHom.instRingHomClassRingHom.{u2, max u1 u2} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)))))) (HahnSeries.ofPowerSeries.{u1, u2} Γ R _inst_1 _inst_2))
+Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_injective HahnSeries.ofPowerSeries_injectiveₓ'. -/
 theorem ofPowerSeries_injective : Function.Injective (ofPowerSeries Γ R) :=
   embDomain_injective.comp toPowerSeries.symm.Injective
 #align hahn_series.of_power_series_injective HahnSeries.ofPowerSeries_injective
 
+/- warning: hahn_series.of_power_series_apply -> HahnSeries.ofPowerSeries_apply is a dubious translation:
+lean 3 declaration is
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-> Γ) (Function.Embedding.hasCoeToFun.{1, succ u1} Nat Γ) (Function.Embedding.mk.{1, succ u1} Nat Γ ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat Γ (HasLiftT.mk.{1, succ u1} Nat Γ (CoeTCₓ.coe.{1, succ u1} Nat Γ (Nat.castCoe.{u1} Γ (AddMonoidWithOne.toNatCast.{u1} Γ (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} Γ (NonAssocSemiring.toAddCommMonoidWithOne.{u1} Γ (Semiring.toNonAssocSemiring.{u1} Γ (StrictOrderedSemiring.toSemiring.{u1} Γ _inst_2))))))))) (StrictMono.injective.{0, u1} Nat Γ Nat.linearOrder (PartialOrder.toPreorder.{u1} Γ (OrderedAddCommMonoid.toPartialOrder.{u1} Γ (OrderedSemiring.toOrderedAddCommMonoid.{u1} Γ (StrictOrderedSemiring.toOrderedSemiring.{u1} Γ _inst_2)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat Γ (HasLiftT.mk.{1, succ u1} Nat Γ (CoeTCₓ.coe.{1, succ u1} Nat Γ (Nat.castCoe.{u1} Γ (AddMonoidWithOne.toNatCast.{u1} Γ (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} Γ (NonAssocSemiring.toAddCommMonoidWithOne.{u1} Γ (Semiring.toNonAssocSemiring.{u1} Γ (OrderedSemiring.toSemiring.{u1} Γ (StrictOrderedSemiring.toOrderedSemiring.{u1} Γ _inst_2)))))))))) (Nat.strictMono_cast.{u1} Γ (StrictOrderedSemiring.toOrderedSemiring.{u1} Γ _inst_2) (StrictOrderedSemiring.to_charZero.{u1} Γ _inst_2))))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat Γ (HasLiftT.mk.{1, succ u1} Nat Γ (CoeTCₓ.coe.{1, succ u1} Nat Γ (Nat.castCoe.{u1} Γ (AddMonoidWithOne.toNatCast.{u1} Γ (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} Γ (NonAssocSemiring.toAddCommMonoidWithOne.{u1} Γ (Semiring.toNonAssocSemiring.{u1} Γ (StrictOrderedSemiring.toSemiring.{u1} Γ _inst_2))))))))) (Function.Embedding.coeFn_mk.{1, succ u1} Nat Γ ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat Γ (HasLiftT.mk.{1, succ u1} Nat Γ (CoeTCₓ.coe.{1, succ u1} Nat Γ (Nat.castCoe.{u1} Γ (AddMonoidWithOne.toNatCast.{u1} Γ (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} Γ (NonAssocSemiring.toAddCommMonoidWithOne.{u1} Γ (Semiring.toNonAssocSemiring.{u1} Γ (StrictOrderedSemiring.toSemiring.{u1} Γ _inst_2))))))))) (StrictMono.injective.{0, u1} Nat Γ Nat.linearOrder (PartialOrder.toPreorder.{u1} Γ (OrderedAddCommMonoid.toPartialOrder.{u1} Γ (OrderedSemiring.toOrderedAddCommMonoid.{u1} Γ (StrictOrderedSemiring.toOrderedSemiring.{u1} Γ _inst_2)))) ((fun (a : Type) (b : Type.{u1}) [self : HasLiftT.{1, succ u1} a b] => self.0) Nat Γ (HasLiftT.mk.{1, succ u1} Nat Γ (CoeTCₓ.coe.{1, succ u1} Nat Γ (Nat.castCoe.{u1} Γ (AddMonoidWithOne.toNatCast.{u1} Γ (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} Γ (NonAssocSemiring.toAddCommMonoidWithOne.{u1} Γ (Semiring.toNonAssocSemiring.{u1} Γ (OrderedSemiring.toSemiring.{u1} Γ (StrictOrderedSemiring.toOrderedSemiring.{u1} Γ _inst_2)))))))))) (Nat.strictMono_cast.{u1} Γ (StrictOrderedSemiring.toOrderedSemiring.{u1} Γ _inst_2) (StrictOrderedSemiring.to_charZero.{u1} Γ _inst_2)))) b)) (LE.le.{0} Nat (Preorder.toHasLe.{0} Nat (PartialOrder.toPreorder.{0} Nat (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)))) a b) (LE.le.{0} Nat (Preorder.toHasLe.{0} Nat (PartialOrder.toPreorder.{0} Nat (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)))) a b) (rfl.{1} Prop (LE.le.{0} Nat (Preorder.toHasLe.{0} Nat (PartialOrder.toPreorder.{0} Nat (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)))) a b)))) (Nat.cast_le.{u1} Γ (StrictOrderedSemiring.toOrderedSemiring.{u1} Γ _inst_2) (StrictOrderedSemiring.to_charZero.{u1} Γ _inst_2) a b))) (coeFn.{succ u2, succ u2} (RingEquiv.{u2, u2} (PowerSeries.{u2} R) (HahnSeries.{0, u2} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (Distrib.toHasMul.{u2} (PowerSeries.{u2} R) (NonUnitalNonAssocSemiring.toDistrib.{u2} (PowerSeries.{u2} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} R) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.semiring.{u2} R _inst_1))))) (Distrib.toHasAdd.{u2} (PowerSeries.{u2} R) (NonUnitalNonAssocSemiring.toDistrib.{u2} (PowerSeries.{u2} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} R) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.semiring.{u2} R _inst_1))))) (HahnSeries.hasMul.{0, u2} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (HahnSeries.hasAdd.{0, u2} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)))))) (fun (_x : RingEquiv.{u2, u2} (PowerSeries.{u2} R) (HahnSeries.{0, u2} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (Distrib.toHasMul.{u2} (PowerSeries.{u2} R) (NonUnitalNonAssocSemiring.toDistrib.{u2} (PowerSeries.{u2} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} R) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.semiring.{u2} R _inst_1))))) (Distrib.toHasAdd.{u2} (PowerSeries.{u2} R) (NonUnitalNonAssocSemiring.toDistrib.{u2} (PowerSeries.{u2} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} R) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.semiring.{u2} R _inst_1))))) (HahnSeries.hasMul.{0, u2} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (HahnSeries.hasAdd.{0, u2} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)))))) => (PowerSeries.{u2} R) -> (HahnSeries.{0, u2} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)))))) (RingEquiv.hasCoeToFun.{u2, u2} (PowerSeries.{u2} R) (HahnSeries.{0, u2} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (Distrib.toHasMul.{u2} (PowerSeries.{u2} R) (NonUnitalNonAssocSemiring.toDistrib.{u2} (PowerSeries.{u2} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} R) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.semiring.{u2} R _inst_1))))) (Distrib.toHasAdd.{u2} (PowerSeries.{u2} R) (NonUnitalNonAssocSemiring.toDistrib.{u2} (PowerSeries.{u2} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} R) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.semiring.{u2} R _inst_1))))) (HahnSeries.hasMul.{0, u2} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (HahnSeries.hasAdd.{0, u2} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)))))) (RingEquiv.symm.{u2, u2} (HahnSeries.{0, u2} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (PowerSeries.{u2} R) (HahnSeries.hasMul.{0, u2} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (HahnSeries.hasAdd.{0, u2} Nat R (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u2} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u2} R (NonAssocSemiring.toAddCommMonoidWithOne.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))))) (Distrib.toHasMul.{u2} (PowerSeries.{u2} R) (NonUnitalNonAssocSemiring.toDistrib.{u2} (PowerSeries.{u2} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} R) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.semiring.{u2} R _inst_1))))) (Distrib.toHasAdd.{u2} (PowerSeries.{u2} R) (NonUnitalNonAssocSemiring.toDistrib.{u2} (PowerSeries.{u2} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} R) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.semiring.{u2} R _inst_1))))) (HahnSeries.toPowerSeries.{u2} R _inst_1)) x))
+but is expected to have type
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(Semiring.toMonoidWithZero.{u2} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u2} (PowerSeries.{u2} R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} R) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{max u1 u2} (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, max u1 u2} (RingHom.{u2, max u2 u1} (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1)) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_2) (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.{u2} R) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (PowerSeries.{u2} R) (Semiring.toNonAssocSemiring.{u2} (PowerSeries.{u2} R) (PowerSeries.instSemiringPowerSeries.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_2) 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+Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_apply HahnSeries.ofPowerSeries_applyₓ'. -/
 @[simp]
 theorem ofPowerSeries_apply (x : PowerSeries R) :
     ofPowerSeries Γ R x =
@@ -1212,12 +1738,24 @@ theorem ofPowerSeries_apply (x : PowerSeries R) :
   rfl
 #align hahn_series.of_power_series_apply HahnSeries.ofPowerSeries_apply
 
+/- warning: hahn_series.of_power_series_apply_coeff -> HahnSeries.ofPowerSeries_apply_coeff is a dubious translation:
+lean 3 declaration is
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(CoeTCₓ.coe.{1, succ u1} Nat Γ (Nat.castCoe.{u1} Γ (AddMonoidWithOne.toNatCast.{u1} Γ (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} Γ (NonAssocSemiring.toAddCommMonoidWithOne.{u1} Γ (Semiring.toNonAssocSemiring.{u1} Γ (StrictOrderedSemiring.toSemiring.{u1} Γ _inst_2)))))))) n)) (coeFn.{succ u2, succ u2} (LinearMap.{u2, u2, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (PowerSeries.{u2} R) R (PowerSeries.addCommMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.module.{u2, u2} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Semiring.toModule.{u2} R _inst_1)) (Semiring.toModule.{u2} R _inst_1)) (fun (_x : LinearMap.{u2, u2, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (PowerSeries.{u2} R) R (PowerSeries.addCommMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.module.{u2, u2} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Semiring.toModule.{u2} R _inst_1)) (Semiring.toModule.{u2} R _inst_1)) => (PowerSeries.{u2} R) -> R) (LinearMap.hasCoeToFun.{u2, u2, u2, u2} R R (PowerSeries.{u2} R) R _inst_1 _inst_1 (PowerSeries.addCommMonoid.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.module.{u2, u2} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Semiring.toModule.{u2} R _inst_1)) (Semiring.toModule.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.coeff.{u2} R _inst_1 n) x)
+but is expected to have type
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(StrictOrderedSemiring.toSemiring.{u1} Γ _inst_2)) n)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u2, u2, u2, u2} R R _inst_1 _inst_1 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)) (PowerSeries.{u2} R) R (PowerSeries.instAddCommMonoidPowerSeries.{u2} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (PowerSeries.instModulePowerSeriesInstAddCommMonoidPowerSeries.{u2, u2} R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R _inst_1))) (Semiring.toModule.{u2} R _inst_1)) (Semiring.toModule.{u2} R _inst_1)) (PowerSeries.{u2} R) (fun (_x : PowerSeries.{u2} R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : 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+Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_apply_coeff HahnSeries.ofPowerSeries_apply_coeffₓ'. -/
 theorem ofPowerSeries_apply_coeff (x : PowerSeries R) (n : ℕ) :
     (ofPowerSeries Γ R x).coeff n = PowerSeries.coeff R n x := by simp
 #align hahn_series.of_power_series_apply_coeff HahnSeries.ofPowerSeries_apply_coeff
 
+/- warning: hahn_series.of_power_series_C -> HahnSeries.ofPowerSeries_C is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} Γ _inst_2)) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (Semiring.toNonAssocSemiring.{u1} R _inst_1) (HahnSeries.instNonAssocSemiringHahnSeriesToPartialOrderToZeroToMulZeroOneClass.{u2, u1} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} Γ _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (HahnSeries.C.{u2, u1} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u2} Γ _inst_2) (Semiring.toNonAssocSemiring.{u1} R _inst_1)) r)
+Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_C HahnSeries.ofPowerSeries_Cₓ'. -/
 @[simp]
-theorem ofPowerSeries_c (r : R) : ofPowerSeries Γ R (PowerSeries.C R r) = HahnSeries.c r :=
+theorem ofPowerSeries_C (r : R) : ofPowerSeries Γ R (PowerSeries.C R r) = HahnSeries.C r :=
   by
   ext n
   simp only [C, single_coeff, of_power_series_apply, RingHom.coe_mk]
@@ -1229,10 +1767,16 @@ theorem ofPowerSeries_c (r : R) : ofPowerSeries Γ R (PowerSeries.C R r) = HahnS
       PowerSeries.coeff_C]
     intro
     simp (config := { contextual := true }) [Ne.symm hn]
-#align hahn_series.of_power_series_C HahnSeries.ofPowerSeries_c
-
+#align hahn_series.of_power_series_C HahnSeries.ofPowerSeries_C
+
+/- warning: hahn_series.of_power_series_X -> HahnSeries.ofPowerSeries_X 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 hahn_series.of_power_series_X HahnSeries.ofPowerSeries_Xₓ'. -/
 @[simp]
-theorem ofPowerSeries_x : ofPowerSeries Γ R PowerSeries.X = single 1 1 :=
+theorem ofPowerSeries_X : ofPowerSeries Γ R PowerSeries.X = single 1 1 :=
   by
   ext n
   simp only [single_coeff, of_power_series_apply, RingHom.coe_mk]
@@ -1244,8 +1788,14 @@ theorem ofPowerSeries_x : ofPowerSeries Γ R PowerSeries.X = single 1 1 :=
       PowerSeries.coeff_X]
     intro
     simp (config := { contextual := true }) [Ne.symm hn]
-#align hahn_series.of_power_series_X HahnSeries.ofPowerSeries_x
-
+#align hahn_series.of_power_series_X HahnSeries.ofPowerSeries_X
+
+/- warning: hahn_series.of_power_series_X_pow -> HahnSeries.ofPowerSeries_x_pow is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_x_powₓ'. -/
 @[simp]
 theorem ofPowerSeries_x_pow {R} [CommSemiring R] (n : ℕ) :
     ofPowerSeries Γ R (PowerSeries.X ^ n) = single (n : Γ) 1 :=
@@ -1257,6 +1807,12 @@ theorem ofPowerSeries_x_pow {R} [CommSemiring R] (n : ℕ) :
   rw [pow_succ, ih, of_power_series_X, mul_comm, single_mul_single, one_mul, Nat.cast_succ]
 #align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_x_pow
 
+/- warning: hahn_series.to_mv_power_series -> HahnSeries.toMvPowerSeries 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 hahn_series.to_mv_power_series HahnSeries.toMvPowerSeriesₓ'. -/
 -- Lemmas about converting hahn_series over fintype to and from mv_power_series
 /-- The ring `hahn_series (σ →₀ ℕ) R` is isomorphic to `mv_power_series σ R` for a `fintype` `σ`.
 We take the index set of the hahn series to be `finsupp` rather than `pi`,
@@ -1293,11 +1849,23 @@ def toMvPowerSeries {σ : Type _} [Fintype σ] : HahnSeries (σ →₀ ℕ) R 
 
 variable {σ : Type _} [Fintype σ]
 
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(Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (MvPowerSeries.hasMul.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.semiring.{u2, u1} σ R _inst_1)))))) => (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (Finsupp.partialOrder.{u2, 0} σ Nat Nat.hasZero (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) -> (MvPowerSeries.{u2, u1} σ R)) (RingEquiv.hasCoeToFun.{max u2 u1, max u2 u1} (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (Finsupp.partialOrder.{u2, 0} σ Nat Nat.hasZero (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (MvPowerSeries.{u2, u1} σ R) (HahnSeries.hasMul.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (HahnSeries.hasAdd.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (Finsupp.partialOrder.{u2, 0} σ Nat Nat.hasZero (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (MvPowerSeries.hasMul.{u2, u1} σ R _inst_1) (Distrib.toHasAdd.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u2 u1} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.semiring.{u2, u1} σ R _inst_1)))))) (HahnSeries.toMvPowerSeries.{u1, u2} R _inst_1 σ _inst_3) f)) (HahnSeries.coeff.{u2, u1} (Finsupp.{u2, 0} σ Nat Nat.hasZero) R (Finsupp.partialOrder.{u2, 0} σ Nat Nat.hasZero (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring))) (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) f n)
+but is expected to have type
+  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {σ : Type.{u2}} [_inst_3 : Fintype.{u2} σ] {f : HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))} {n : Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)}, Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPowerSeries.{u2, u1} σ R) => R) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingEquiv.{max u1 u2, max u1 u2} (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R 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(Semiring.toNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.instSemiringMvPowerSeries.{u2, u1} σ R _inst_1))))))))) (HahnSeries.toMvPowerSeries.{u1, u2} R _inst_1 σ _inst_3) f)) (HahnSeries.coeff.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) f n)
+Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_to_mv_power_series HahnSeries.coeff_toMvPowerSeriesₓ'. -/
 theorem coeff_toMvPowerSeries {f : HahnSeries (σ →₀ ℕ) R} {n : σ →₀ ℕ} :
     MvPowerSeries.coeff R n f.toMvPowerSeries = f.coeff n :=
   rfl
 #align hahn_series.coeff_to_mv_power_series HahnSeries.coeff_toMvPowerSeries
 
+/- warning: hahn_series.coeff_to_mv_power_series_symm -> HahnSeries.coeff_toMvPowerSeries_symm is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (MvPowerSeries.{u2, u1} σ R) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MulEquivClass.instMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MvPowerSeries.{u2, u1} σ R) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (RingEquiv.{max u2 u1, max u2 u1} (MvPowerSeries.{u2, u1} σ R) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) 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(Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (RingEquivClass.toMulEquivClass.{max u2 u1, max u2 u1, max u2 u1} (RingEquiv.{max u2 u1, max u2 u1} (MvPowerSeries.{u2, u1} σ R) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Distrib.toAdd.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.instSemiringMvPowerSeries.{u2, u1} σ R _inst_1))))) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))))) (MvPowerSeries.{u2, u1} σ R) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (RingEquiv.instRingEquivClassRingEquiv.{max u2 u1, max u2 u1} (MvPowerSeries.{u2, u1} σ R) (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Distrib.toAdd.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.instSemiringMvPowerSeries.{u2, u1} σ R _inst_1))))) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))))))) (RingEquiv.symm.{max u2 u1, max u2 u1} (HahnSeries.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1))) (MvPowerSeries.{u2, u1} σ R) (HahnSeries.instMulHahnSeriesToPartialOrderToZeroToMulZeroClass.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.orderedCancelAddCommMonoid.{u2, 0} σ Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.instMulMvPowerSeries.{u2, u1} σ R _inst_1) (HahnSeries.instAddHahnSeriesToZero.{u2, u1} (Finsupp.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero)) R (Finsupp.partialorder.{u2, 0} σ Nat (LinearOrderedCommMonoidWithZero.toZero.{0} Nat Nat.linearOrderedCommMonoidWithZero) (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring)) (AddMonoidWithOne.toAddMonoid.{u1} R (AddCommMonoidWithOne.toAddMonoidWithOne.{u1} R (NonAssocSemiring.toAddCommMonoidWithOne.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))))) (Distrib.toAdd.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonUnitalNonAssocSemiring.toDistrib.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (Semiring.toNonAssocSemiring.{max u1 u2} (MvPowerSeries.{u2, u1} σ R) (MvPowerSeries.instSemiringMvPowerSeries.{u2, u1} σ R _inst_1))))) (HahnSeries.toMvPowerSeries.{u1, u2} R _inst_1 σ _inst_3)) f) n) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), succ u1} (LinearMap.{u1, u1, max u1 u2, u1} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (MvPowerSeries.{u2, u1} σ R) R (MvPowerSeries.instAddCommMonoidMvPowerSeries.{u2, u1} σ R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.instModuleMvPowerSeriesInstAddCommMonoidMvPowerSeries.{u2, u1, u1} σ R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1)) (MvPowerSeries.{u2, u1} σ R) (fun (_x : MvPowerSeries.{u2, u1} σ R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : MvPowerSeries.{u2, u1} σ R) => R) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, max u1 u2, u1} R R (MvPowerSeries.{u2, u1} σ R) R _inst_1 _inst_1 (MvPowerSeries.instAddCommMonoidMvPowerSeries.{u2, u1} σ R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)))) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.instModuleMvPowerSeriesInstAddCommMonoidMvPowerSeries.{u2, u1, u1} σ R R _inst_1 (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (Semiring.toModule.{u1} R _inst_1)) (Semiring.toModule.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (MvPowerSeries.coeff.{u2, u1} σ R _inst_1 n) f)
+Case conversion may be inaccurate. Consider using '#align hahn_series.coeff_to_mv_power_series_symm HahnSeries.coeff_toMvPowerSeries_symmₓ'. -/
 theorem coeff_toMvPowerSeries_symm {f : MvPowerSeries σ R} {n : σ →₀ ℕ} :
     (HahnSeries.toMvPowerSeries.symm f).coeff n = MvPowerSeries.coeff R n f :=
   rfl
@@ -1309,6 +1877,12 @@ section Algebra
 
 variable (R) [CommSemiring R] {A : Type _} [Semiring A] [Algebra R A]
 
+/- warning: hahn_series.to_power_series_alg -> HahnSeries.toPowerSeriesAlg is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) [_inst_1 : CommSemiring.{u1} R] {A : Type.{u2}} [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2], AlgEquiv.{u1, u2, u2} R (HahnSeries.{0, u2} Nat A (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)) (MulZeroClass.toHasZero.{u2} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A _inst_2))))) (PowerSeries.{u2} A) _inst_1 (HahnSeries.semiring.{0, u2} Nat A (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) _inst_2) (PowerSeries.semiring.{u2} A _inst_2) (HahnSeries.algebra.{0, u1, u2} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) _inst_1 A _inst_2 _inst_3) (PowerSeries.algebra.{u1, u2} R A _inst_2 _inst_1 _inst_3)
+but is expected to have type
+  forall (R : Type.{u1}) [_inst_1 : CommSemiring.{u1} R] {A : Type.{u2}} [_inst_2 : Semiring.{u2} A] [_inst_3 : Algebra.{u1, u2} R A _inst_1 _inst_2], AlgEquiv.{u1, u2, u2} R (HahnSeries.{0, u2} Nat A (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring) (MonoidWithZero.toZero.{u2} A (Semiring.toMonoidWithZero.{u2} A _inst_2))) (PowerSeries.{u2} A) _inst_1 (HahnSeries.instSemiringHahnSeriesToPartialOrderToZeroToMonoidWithZero.{0, u2} Nat A (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) _inst_2) (PowerSeries.instSemiringPowerSeries.{u2} A _inst_2) (HahnSeries.instAlgebraHahnSeriesToPartialOrderToZeroToMonoidWithZeroInstSemiringHahnSeriesToPartialOrderToZeroToMonoidWithZero.{0, u1, u2} Nat R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring) _inst_1 A _inst_2 _inst_3) (PowerSeries.instAlgebraPowerSeriesInstSemiringPowerSeries.{u1, u2} R A _inst_2 _inst_1 _inst_3)
+Case conversion may be inaccurate. Consider using '#align hahn_series.to_power_series_alg HahnSeries.toPowerSeriesAlgₓ'. -/
 /-- The `R`-algebra `hahn_series ℕ A` is isomorphic to `power_series A`. -/
 @[simps]
 def toPowerSeriesAlg : HahnSeries ℕ A ≃ₐ[R] PowerSeries A :=
@@ -1326,6 +1900,12 @@ def toPowerSeriesAlg : HahnSeries ℕ A ≃ₐ[R] PowerSeries A :=
 
 variable (Γ R) [StrictOrderedSemiring Γ]
 
+/- warning: hahn_series.of_power_series_alg -> HahnSeries.ofPowerSeriesAlg is a dubious translation:
+lean 3 declaration is
+  forall (Γ : Type.{u1}) (R : Type.{u2}) [_inst_1 : CommSemiring.{u2} R] {A : Type.{u3}} [_inst_2 : Semiring.{u3} A] [_inst_3 : Algebra.{u2, u3} R A _inst_1 _inst_2] [_inst_4 : StrictOrderedSemiring.{u1} Γ], AlgHom.{u2, u3, max u1 u3} R (PowerSeries.{u3} A) (HahnSeries.{u1, u3} Γ A (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_4)) (MulZeroClass.toHasZero.{u3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_2))))) _inst_1 (PowerSeries.semiring.{u3} A _inst_2) (HahnSeries.semiring.{u1, u3} Γ A (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_4) _inst_2) (PowerSeries.algebra.{u2, u3} R A _inst_2 _inst_1 _inst_3) (HahnSeries.algebra.{u1, u2, u3} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_4) _inst_1 A _inst_2 _inst_3)
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+Case conversion may be inaccurate. Consider using '#align hahn_series.of_power_series_alg HahnSeries.ofPowerSeriesAlgₓ'. -/
 /-- Casting a power series as a Hahn series with coefficients from an `strict_ordered_semiring`
   is an algebra homomorphism. -/
 @[simps]
@@ -1335,6 +1915,12 @@ def ofPowerSeriesAlg : PowerSeries A →ₐ[R] HahnSeries Γ A :=
     (AlgEquiv.toAlgHom (toPowerSeriesAlg R).symm)
 #align hahn_series.of_power_series_alg HahnSeries.ofPowerSeriesAlg
 
+/- warning: hahn_series.power_series_algebra -> HahnSeries.powerSeriesAlgebra is a dubious translation:
+lean 3 declaration is
+  forall (Γ : Type.{u1}) (R : Type.{u2}) [_inst_1 : CommSemiring.{u2} R] [_inst_4 : StrictOrderedSemiring.{u1} Γ] {S : Type.{u3}} [_inst_5 : CommSemiring.{u3} S] [_inst_6 : Algebra.{u3, u2} S (PowerSeries.{u2} R) _inst_5 (PowerSeries.semiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))], Algebra.{u3, max u1 u2} S (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_4)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))))) _inst_5 (HahnSeries.semiring.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_4) (CommSemiring.toSemiring.{u2} R _inst_1))
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+Case conversion may be inaccurate. Consider using '#align hahn_series.power_series_algebra HahnSeries.powerSeriesAlgebraₓ'. -/
 instance powerSeriesAlgebra {S : Type _} [CommSemiring S] [Algebra S (PowerSeries R)] :
     Algebra S (HahnSeries Γ R) :=
   RingHom.toAlgebra <| (ofPowerSeries Γ R).comp (algebraMap S (PowerSeries R))
@@ -1342,17 +1928,35 @@ instance powerSeriesAlgebra {S : Type _} [CommSemiring S] [Algebra S (PowerSerie
 
 variable {R} {S : Type _} [CommSemiring S] [Algebra S (PowerSeries R)]
 
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+Case conversion may be inaccurate. Consider using '#align hahn_series.algebra_map_apply' HahnSeries.algebraMap_apply'ₓ'. -/
 theorem algebraMap_apply' (x : S) :
     algebraMap S (HahnSeries Γ R) x = ofPowerSeries Γ R (algebraMap S (PowerSeries R) x) :=
   rfl
 #align hahn_series.algebra_map_apply' HahnSeries.algebraMap_apply'
 
+/- warning: polynomial.algebra_map_hahn_series_apply -> Polynomial.algebraMap_hahnSeries_apply 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 polynomial.algebra_map_hahn_series_apply Polynomial.algebraMap_hahnSeries_applyₓ'. -/
 @[simp]
 theorem Polynomial.algebraMap_hahnSeries_apply (f : R[X]) :
     algebraMap R[X] (HahnSeries Γ R) f = ofPowerSeries Γ R f :=
   rfl
 #align polynomial.algebra_map_hahn_series_apply Polynomial.algebraMap_hahnSeries_apply
 
+/- warning: polynomial.algebra_map_hahn_series_injective -> Polynomial.algebraMap_hahnSeries_injective is a dubious translation:
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_inst_1))) (HahnSeries.instSemiringHahnSeriesToPartialOrderToZeroToMonoidWithZero.{u1, u2} Γ R (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} Γ _inst_4) (CommSemiring.toSemiring.{u2} R _inst_1)))) (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_4) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} (Polynomial.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (Polynomial.commSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u2} (HahnSeries.{u1, u2} Γ R (StrictOrderedSemiring.toPartialOrder.{u1} Γ _inst_4) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1))) 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+Case conversion may be inaccurate. Consider using '#align polynomial.algebra_map_hahn_series_injective Polynomial.algebraMap_hahnSeries_injectiveₓ'. -/
 theorem Polynomial.algebraMap_hahnSeries_injective :
     Function.Injective (algebraMap R[X] (HahnSeries Γ R)) :=
   ofPowerSeries_injective.comp (Polynomial.coe_injective R)
@@ -1364,6 +1968,12 @@ section Valuation
 
 variable (Γ R) [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R]
 
+/- warning: hahn_series.add_val -> HahnSeries.addVal is a dubious translation:
+lean 3 declaration is
+  forall (Γ : Type.{u1}) (R : Type.{u2}) [_inst_1 : LinearOrderedCancelAddCommMonoid.{u1} Γ] [_inst_2 : Ring.{u2} R] [_inst_3 : IsDomain.{u2} R (Ring.toSemiring.{u2} R _inst_2)], AddValuation.{max u1 u2, u1} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} Γ _inst_1)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R _inst_2)))))) (HahnSeries.ring.{u1, u2} Γ R (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} Γ _inst_1) _inst_2) (WithTop.{u1} Γ) (WithTop.linearOrderedAddCommMonoidWithTop.{u1} Γ (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} Γ _inst_1))
+but is expected to have type
+  forall (Γ : Type.{u1}) (R : Type.{u2}) [_inst_1 : LinearOrderedCancelAddCommMonoid.{u1} Γ] [_inst_2 : Ring.{u2} R] [_inst_3 : IsDomain.{u2} R (Ring.toSemiring.{u2} R _inst_2)], AddValuation.{max u2 u1, u1} (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} Γ _inst_1)) (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R _inst_2)))) (HahnSeries.instRingHahnSeriesToPartialOrderToZeroToMonoidWithZeroToSemiring.{u1, u2} Γ R (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} Γ _inst_1) _inst_2) (WithTop.{u1} Γ) (WithTop.linearOrderedAddCommMonoidWithTop.{u1} Γ (LinearOrderedCancelAddCommMonoid.toLinearOrderedAddCommMonoid.{u1} Γ _inst_1))
+Case conversion may be inaccurate. Consider using '#align hahn_series.add_val HahnSeries.addValₓ'. -/
 /-- The additive valuation on `hahn_series Γ R`, returning the smallest index at which
   a Hahn Series has a nonzero coefficient, or `⊤` for the 0 series.  -/
 def addVal : AddValuation (HahnSeries Γ R) (WithTop Γ) :=
@@ -1390,16 +2000,34 @@ def addVal : AddValuation (HahnSeries Γ R) (WithTop Γ) :=
 
 variable {Γ} {R}
 
+/- warning: hahn_series.add_val_apply -> HahnSeries.addVal_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align hahn_series.add_val_apply HahnSeries.addVal_applyₓ'. -/
 theorem addVal_apply {x : HahnSeries Γ R} :
     addVal Γ R x = if x = (0 : HahnSeries Γ R) then (⊤ : WithTop Γ) else x.order :=
   AddValuation.of_apply _
 #align hahn_series.add_val_apply HahnSeries.addVal_apply
 
+/- warning: hahn_series.add_val_apply_of_ne -> HahnSeries.addVal_apply_of_ne is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align hahn_series.add_val_apply_of_ne HahnSeries.addVal_apply_of_neₓ'. -/
 @[simp]
 theorem addVal_apply_of_ne {x : HahnSeries Γ R} (hx : x ≠ 0) : addVal Γ R x = x.order :=
   if_neg hx
 #align hahn_series.add_val_apply_of_ne HahnSeries.addVal_apply_of_ne
 
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+Case conversion may be inaccurate. Consider using '#align hahn_series.add_val_le_of_coeff_ne_zero HahnSeries.addVal_le_of_coeff_ne_zeroₓ'. -/
 theorem addVal_le_of_coeff_ne_zero {x : HahnSeries Γ R} {g : Γ} (h : x.coeff g ≠ 0) :
     addVal Γ R x ≤ g :=
   by
@@ -1409,6 +2037,12 @@ theorem addVal_le_of_coeff_ne_zero {x : HahnSeries Γ R} {g : Γ} (h : x.coeff g
 
 end Valuation
 
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+Case conversion may be inaccurate. Consider using '#align hahn_series.is_pwo_Union_support_powers HahnSeries.isPwo_iUnion_support_powersₓ'. -/
 theorem isPwo_iUnion_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R]
     {x : HahnSeries Γ R} (hx : 0 < addVal Γ R x) : (⋃ n : ℕ, (x ^ n).support).IsPwo :=
   by
@@ -1429,6 +2063,7 @@ section
 
 variable (Γ) (R) [PartialOrder Γ] [AddCommMonoid R]
 
+#print HahnSeries.SummableFamily /-
 /-- An infinite family of Hahn series which has a formal coefficient-wise sum.
   The requirements for this are that the union of the supports of the series is well-founded,
   and that only finitely many series are nonzero at any given coefficient. -/
@@ -1437,6 +2072,7 @@ structure SummableFamily (α : Type _) where
   isPwo_iUnion_support' : Set.IsPwo (⋃ a : α, (to_fun a).support)
   finite_co_support' : ∀ g : Γ, { a | (to_fun a).coeff g ≠ 0 }.Finite
 #align hahn_series.summable_family HahnSeries.SummableFamily
+-/
 
 end
 
@@ -1449,21 +2085,45 @@ variable [PartialOrder Γ] [AddCommMonoid R] {α : Type _}
 instance : CoeFun (SummableFamily Γ R α) fun _ => α → HahnSeries Γ R :=
   ⟨toFun⟩
 
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 theorem isPwo_iUnion_support (s : SummableFamily Γ R α) : Set.IsPwo (⋃ a : α, (s a).support) :=
   s.isPwo_iUnion_support'
 #align hahn_series.summable_family.is_pwo_Union_support HahnSeries.SummableFamily.isPwo_iUnion_support
 
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+Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.finite_co_support HahnSeries.SummableFamily.finite_co_supportₓ'. -/
 theorem finite_co_support (s : SummableFamily Γ R α) (g : Γ) :
     (Function.support fun a => (s a).coeff g).Finite :=
   s.finite_co_support' g
 #align hahn_series.summable_family.finite_co_support HahnSeries.SummableFamily.finite_co_support
 
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 theorem coe_injective : @Function.Injective (SummableFamily Γ R α) (α → HahnSeries Γ R) coeFn
   | ⟨f1, hU1, hf1⟩, ⟨f2, hU2, hf2⟩, h => by
     change f1 = f2 at h
     subst h
 #align hahn_series.summable_family.coe_injective HahnSeries.SummableFamily.coe_injective
 
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 @[ext]
 theorem ext {s t : SummableFamily Γ R α} (h : ∀ a : α, s a = t a) : s = t :=
   coe_injective <| funext h
@@ -1492,20 +2152,44 @@ instance : Zero (SummableFamily Γ R α) :=
 instance : Inhabited (SummableFamily Γ R α) :=
   ⟨0⟩
 
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 @[simp]
 theorem coe_add {s t : SummableFamily Γ R α} : ⇑(s + t) = s + t :=
   rfl
 #align hahn_series.summable_family.coe_add HahnSeries.SummableFamily.coe_add
 
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 theorem add_apply {s t : SummableFamily Γ R α} {a : α} : (s + t) a = s a + t a :=
   rfl
 #align hahn_series.summable_family.add_apply HahnSeries.SummableFamily.add_apply
 
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 @[simp]
 theorem coe_zero : ((0 : SummableFamily Γ R α) : α → HahnSeries Γ R) = 0 :=
   rfl
 #align hahn_series.summable_family.coe_zero HahnSeries.SummableFamily.coe_zero
 
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 theorem zero_apply {a : α} : (0 : SummableFamily Γ R α) a = 0 :=
   rfl
 #align hahn_series.summable_family.zero_apply HahnSeries.SummableFamily.zero_apply
@@ -1527,6 +2211,12 @@ instance : AddCommMonoid (SummableFamily Γ R α)
     ext
     apply add_assoc
 
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 /-- The infinite sum of a `summable_family` of Hahn series. -/
 def hsum (s : SummableFamily Γ R α) : HahnSeries Γ R
     where
@@ -1540,11 +2230,23 @@ def hsum (s : SummableFamily Γ R α) : HahnSeries Γ R
       rw [finsum_congr h, finsum_zero]
 #align hahn_series.summable_family.hsum HahnSeries.SummableFamily.hsum
 
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 @[simp]
 theorem hsum_coeff {s : SummableFamily Γ R α} {g : Γ} : s.hsum.coeff g = ∑ᶠ i, (s i).coeff g :=
   rfl
 #align hahn_series.summable_family.hsum_coeff HahnSeries.SummableFamily.hsum_coeff
 
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 theorem support_hsum_subset {s : SummableFamily Γ R α} : s.hsum.support ⊆ ⋃ a : α, (s a).support :=
   fun g hg =>
   by
@@ -1554,6 +2256,12 @@ theorem support_hsum_subset {s : SummableFamily Γ R α} : s.hsum.support ⊆ 
   exact ⟨a, h2⟩
 #align hahn_series.summable_family.support_hsum_subset HahnSeries.SummableFamily.support_hsum_subset
 
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+Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.hsum_add HahnSeries.SummableFamily.hsum_addₓ'. -/
 @[simp]
 theorem hsum_add {s t : SummableFamily Γ R α} : (s + t).hsum = s.hsum + t.hsum :=
   by
@@ -1584,20 +2292,44 @@ instance : AddCommGroup (SummableFamily Γ R α) :=
       ext
       apply add_left_neg }
 
+/- warning: hahn_series.summable_family.coe_neg -> HahnSeries.SummableFamily.coe_neg is a dubious translation:
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 @[simp]
 theorem coe_neg : ⇑(-s) = -s :=
   rfl
 #align hahn_series.summable_family.coe_neg HahnSeries.SummableFamily.coe_neg
 
+/- warning: hahn_series.summable_family.neg_apply -> HahnSeries.SummableFamily.neg_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.neg_apply HahnSeries.SummableFamily.neg_applyₓ'. -/
 theorem neg_apply : (-s) a = -s a :=
   rfl
 #align hahn_series.summable_family.neg_apply HahnSeries.SummableFamily.neg_apply
 
+/- warning: hahn_series.summable_family.coe_sub -> HahnSeries.SummableFamily.coe_sub is a dubious translation:
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 @[simp]
 theorem coe_sub : ⇑(s - t) = s - t :=
   rfl
 #align hahn_series.summable_family.coe_sub HahnSeries.SummableFamily.coe_sub
 
+/- warning: hahn_series.summable_family.sub_apply -> HahnSeries.SummableFamily.sub_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.sub_apply HahnSeries.SummableFamily.sub_applyₓ'. -/
 theorem sub_apply : (s - t) a = s a - t a :=
   rfl
 #align hahn_series.summable_family.sub_apply HahnSeries.SummableFamily.sub_apply
@@ -1631,6 +2363,12 @@ instance : SMul (HahnSeries Γ R) (SummableFamily Γ R α)
             is_pwo_support, Prod.exists]
           exact ⟨i, j, mem_coe.2 (mem_add_antidiagonal.2 ⟨hi, Set.mem_iUnion.2 ⟨a, hj⟩, rfl⟩), hj⟩ }
 
+/- warning: hahn_series.summable_family.smul_apply -> HahnSeries.SummableFamily.smul_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.smul_apply HahnSeries.SummableFamily.smul_applyₓ'. -/
 @[simp]
 theorem smul_apply {x : HahnSeries Γ R} {s : SummableFamily Γ R α} {a : α} : (x • s) a = x * s a :=
   rfl
@@ -1646,6 +2384,12 @@ instance : Module (HahnSeries Γ R) (SummableFamily Γ R α)
   smul_add x s t := ext fun a => mul_add _ _ _
   mul_smul x y s := ext fun a => mul_assoc _ _ _
 
+/- warning: hahn_series.summable_family.hsum_smul -> HahnSeries.SummableFamily.hsum_smul is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.hsum_smul HahnSeries.SummableFamily.hsum_smulₓ'. -/
 @[simp]
 theorem hsum_smul {x : HahnSeries Γ R} {s : SummableFamily Γ R α} : (x • s).hsum = x * s.hsum :=
   by
@@ -1680,6 +2424,12 @@ theorem hsum_smul {x : HahnSeries Γ R} {s : SummableFamily Γ R α} : (x • s)
         MulZeroClass.mul_zero]
 #align hahn_series.summable_family.hsum_smul HahnSeries.SummableFamily.hsum_smul
 
+/- warning: hahn_series.summable_family.lsum -> HahnSeries.SummableFamily.lsum is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.lsum HahnSeries.SummableFamily.lsumₓ'. -/
 /-- The summation of a `summable_family` as a `linear_map`. -/
 @[simps]
 def lsum : SummableFamily Γ R α →ₗ[HahnSeries Γ R] HahnSeries Γ R
@@ -1689,6 +2439,12 @@ def lsum : SummableFamily Γ R α →ₗ[HahnSeries Γ R] HahnSeries Γ R
   map_smul' _ _ := hsum_smul
 #align hahn_series.summable_family.lsum HahnSeries.SummableFamily.lsum
 
+/- warning: hahn_series.summable_family.hsum_sub -> HahnSeries.SummableFamily.hsum_sub is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.hsum_sub HahnSeries.SummableFamily.hsum_subₓ'. -/
 @[simp]
 theorem hsum_sub {R : Type _} [Ring R] {s t : SummableFamily Γ R α} :
     (s - t).hsum = s.hsum - t.hsum := by
@@ -1701,6 +2457,12 @@ section OfFinsupp
 
 variable [PartialOrder Γ] [AddCommMonoid R] {α : Type _}
 
+/- warning: hahn_series.summable_family.of_finsupp -> HahnSeries.SummableFamily.ofFinsupp is a dubious translation:
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 /-- A family with only finitely many nonzero elements is summable. -/
 def ofFinsupp (f : α →₀ HahnSeries Γ R) : SummableFamily Γ R α
     where
@@ -1723,11 +2485,23 @@ def ofFinsupp (f : α →₀ HahnSeries Γ R) : SummableFamily Γ R α
     simp [ha]
 #align hahn_series.summable_family.of_finsupp HahnSeries.SummableFamily.ofFinsupp
 
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 @[simp]
 theorem coe_ofFinsupp {f : α →₀ HahnSeries Γ R} : ⇑(SummableFamily.ofFinsupp f) = f :=
   rfl
 #align hahn_series.summable_family.coe_of_finsupp HahnSeries.SummableFamily.coe_ofFinsupp
 
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 @[simp]
 theorem hsum_ofFinsupp {f : α →₀ HahnSeries Γ R} : (ofFinsupp f).hsum = f.Sum fun a => id :=
   by
@@ -1747,6 +2521,7 @@ section EmbDomain
 
 variable [PartialOrder Γ] [AddCommMonoid R] {α β : Type _}
 
+#print HahnSeries.SummableFamily.embDomain /-
 /-- A summable family can be reindexed by an embedding without changing its sum. -/
 def embDomain (s : SummableFamily Γ R α) (f : α ↪ β) : SummableFamily Γ R β
     where
@@ -1769,14 +2544,27 @@ def embDomain (s : SummableFamily Γ R α) (f : α ↪ β) : SummableFamily Γ R
         · contrapose! h
           simp only [Ne.def, Set.mem_setOf_eq, dif_neg hb, Classical.not_not, zero_coeff])
 #align hahn_series.summable_family.emb_domain HahnSeries.SummableFamily.embDomain
+-/
 
 variable (s : SummableFamily Γ R α) (f : α ↪ β) {a : α} {b : β}
 
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 theorem embDomain_apply :
     s.embDomain f b = if h : b ∈ Set.range f then s (Classical.choose h) else 0 :=
   rfl
 #align hahn_series.summable_family.emb_domain_apply HahnSeries.SummableFamily.embDomain_apply
 
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 @[simp]
 theorem embDomain_image : s.embDomain f (f a) = s a :=
   by
@@ -1784,11 +2572,23 @@ theorem embDomain_image : s.embDomain f (f a) = s a :=
   exact congr rfl (f.injective (Classical.choose_spec (Set.mem_range_self a)))
 #align hahn_series.summable_family.emb_domain_image HahnSeries.SummableFamily.embDomain_image
 
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 @[simp]
 theorem embDomain_notin_range (h : b ∉ Set.range f) : s.embDomain f b = 0 := by
   rw [emb_domain_apply, dif_neg h]
 #align hahn_series.summable_family.emb_domain_notin_range HahnSeries.SummableFamily.embDomain_notin_range
 
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 @[simp]
 theorem hsum_embDomain : (s.embDomain f).hsum = s.hsum :=
   by
@@ -1803,6 +2603,12 @@ section powers
 
 variable [LinearOrderedCancelAddCommMonoid Γ] [CommRing R] [IsDomain R]
 
+/- warning: hahn_series.summable_family.powers -> HahnSeries.SummableFamily.powers is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.powers HahnSeries.SummableFamily.powersₓ'. -/
 /-- The powers of an element of positive valuation form a summable family. -/
 def powers (x : HahnSeries Γ R) (hx : 0 < addVal Γ R x) : SummableFamily Γ R ℕ
     where
@@ -1837,11 +2643,23 @@ def powers (x : HahnSeries Γ R) (hx : 0 < addVal Γ R x) : SummableFamily Γ R
 
 variable {x : HahnSeries Γ R} (hx : 0 < addVal Γ R x)
 
+/- warning: hahn_series.summable_family.coe_powers -> HahnSeries.SummableFamily.coe_powers 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 hahn_series.summable_family.coe_powers HahnSeries.SummableFamily.coe_powersₓ'. -/
 @[simp]
 theorem coe_powers : ⇑(powers x hx) = pow x :=
   rfl
 #align hahn_series.summable_family.coe_powers HahnSeries.SummableFamily.coe_powers
 
+/- warning: hahn_series.summable_family.emb_domain_succ_smul_powers -> HahnSeries.SummableFamily.embDomain_succ_smul_powers is a dubious translation:
+lean 3 declaration is
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(HahnSeries.SummableFamily.addCommGroup.{u1, u2, 0} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} Γ _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_2)))) Nat))))) (HahnSeries.SummableFamily.powers.{u1, u2} Γ R _inst_1 _inst_2 _inst_3 x hx) (HahnSeries.SummableFamily.ofFinsupp.{u1, u2, 0} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} Γ _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_2))))) Nat (Finsupp.single.{0, max u1 u2} Nat (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} Γ _inst_1)) 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(AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_2))))))))) (HahnSeries.hasOne.{u1, u2} Γ R (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} Γ _inst_1) (AddZeroClass.toHasZero.{u2} R (AddMonoid.toAddZeroClass.{u2} R (AddCommMonoid.toAddMonoid.{u2} R (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_2)))))))) (AddMonoidWithOne.toOne.{u2} R (AddGroupWithOne.toAddMonoidWithOne.{u2} R (AddCommGroupWithOne.toAddGroupWithOne.{u2} R (Ring.toAddCommGroupWithOne.{u2} R (CommRing.toRing.{u2} R _inst_2))))))))))))
+but is expected to have type
+  forall {Γ : Type.{u2}} {R : Type.{u1}} [_inst_1 : LinearOrderedCancelAddCommMonoid.{u2} Γ] [_inst_2 : CommRing.{u1} R] [_inst_3 : IsDomain.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))] {x : HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_1)) (CommMonoidWithZero.toZero.{u1} R (CancelCommMonoidWithZero.toCommMonoidWithZero.{u1} R (IsDomain.toCancelCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2) _inst_3)))} (hx : LT.lt.{u2} ((fun (x._@.Mathlib.RingTheory.Valuation.Basic._hyg.8830 : HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_1)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_2))))) => WithTop.{u2} Γ) x) (Preorder.toLT.{u2} ((fun 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(CommRing.toRing.{u1} R _inst_2))))) Nat) (AddCommGroup.toAddGroup.{max u2 u1} (HahnSeries.SummableFamily.{u2, u1, 0} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_2))))) Nat) (HahnSeries.SummableFamily.instAddCommGroupSummableFamilyToAddCommMonoid.{u2, u1, 0} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_1)) (Ring.toAddCommGroup.{u1} R (CommRing.toRing.{u1} R _inst_2)) Nat))))) (HahnSeries.SummableFamily.powers.{u2, u1} Γ R _inst_1 _inst_2 _inst_3 x hx) (HahnSeries.SummableFamily.ofFinsupp.{u2, u1, 0} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_2))))) Nat (Finsupp.single.{0, max u1 u2} Nat (HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_1)) (AddMonoid.toZero.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_2)))))))) (HahnSeries.instZeroHahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_1)) (AddMonoid.toZero.{u1} R 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_2)))))))) (HahnSeries.instOneHahnSeriesToPartialOrder.{u2, u1} Γ R (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_1) (AddMonoid.toZero.{u1} R (AddCommMonoid.toAddMonoid.{u1} R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_2))))))) (Semiring.toOne.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))))))
+Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.emb_domain_succ_smul_powers HahnSeries.SummableFamily.embDomain_succ_smul_powersₓ'. -/
 theorem embDomain_succ_smul_powers :
     (x • powers x hx).embDomain ⟨Nat.succ, Nat.succ_injective⟩ =
       powers x hx - ofFinsupp (Finsupp.single 0 1) :=
@@ -1857,6 +2675,12 @@ theorem embDomain_succ_smul_powers :
     rw [Finsupp.single_eq_of_ne n.succ_ne_zero.symm, sub_zero]
 #align hahn_series.summable_family.emb_domain_succ_smul_powers HahnSeries.SummableFamily.embDomain_succ_smul_powers
 
+/- warning: hahn_series.summable_family.one_sub_self_mul_hsum_powers -> HahnSeries.SummableFamily.one_sub_self_mul_hsum_powers is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {Γ : Type.{u2}} {R : Type.{u1}} [_inst_1 : LinearOrderedCancelAddCommMonoid.{u2} Γ] [_inst_2 : CommRing.{u1} R] [_inst_3 : IsDomain.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))] {x : HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_1)) (CommMonoidWithZero.toZero.{u1} R (CancelCommMonoidWithZero.toCommMonoidWithZero.{u1} R (IsDomain.toCancelCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2) _inst_3)))} (hx : LT.lt.{u2} ((fun (x._@.Mathlib.RingTheory.Valuation.Basic._hyg.8830 : HahnSeries.{u2, u1} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u2} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ _inst_1)) (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_2))))) => WithTop.{u2} Γ) x) (Preorder.toLT.{u2} ((fun 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+Case conversion may be inaccurate. Consider using '#align hahn_series.summable_family.one_sub_self_mul_hsum_powers HahnSeries.SummableFamily.one_sub_self_mul_hsum_powersₓ'. -/
 theorem one_sub_self_mul_hsum_powers : (1 - x) * (powers x hx).hsum = 1 :=
   by
   rw [← hsum_smul, sub_smul, one_smul, hsum_sub, ←
@@ -1876,8 +2700,14 @@ section IsDomain
 
 variable [CommRing R] [IsDomain R]
 
+/- warning: hahn_series.unit_aux -> HahnSeries.unit_aux is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : LinearOrderedAddCommGroup.{u1} Γ] [_inst_2 : CommRing.{u2} R] [_inst_3 : IsDomain.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_2))] (x : HahnSeries.{u1, u2} Γ R (OrderedAddCommGroup.toPartialOrder.{u1} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} Γ _inst_1)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_2))))))) {r : R}, (Eq.{succ u2} R (HMul.hMul.{u2, u2, u2} R R R (instHMul.{u2} R (Distrib.toHasMul.{u2} R (Ring.toDistrib.{u2} R (CommRing.toRing.{u2} R _inst_2)))) r (HahnSeries.coeff.{u1, u2} Γ R (OrderedAddCommGroup.toPartialOrder.{u1} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} Γ _inst_1)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R 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_inst_2))))))) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_2)))))) (HahnSeries.hasZero.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} Γ _inst_1))) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_2)))))))) => R -> (HahnSeries.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} Γ _inst_1))) 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_inst_2)))))) (HahnSeries.hasZero.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} Γ _inst_1))) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_2)))))))) (HahnSeries.single.{u1, u2} Γ R (OrderedCancelAddCommMonoid.toPartialOrder.{u1} Γ (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u1} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u1} Γ _inst_1))) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_2)))))) (Neg.neg.{u1} Γ 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(AddGroupWithOne.toAddMonoidWithOne.{u2} R (AddCommGroupWithOne.toAddGroupWithOne.{u2} R (Ring.toAddCommGroupWithOne.{u2} R (CommRing.toRing.{u2} R _inst_2)))))))))) x))))
+but is expected to have type
+  forall {Γ : Type.{u2}} {R : Type.{u1}} [_inst_1 : LinearOrderedAddCommGroup.{u2} Γ] [_inst_2 : CommRing.{u1} R] [_inst_3 : IsDomain.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))] (x : HahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (CommMonoidWithZero.toZero.{u1} R (CancelCommMonoidWithZero.toCommMonoidWithZero.{u1} R (IsDomain.toCancelCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2) _inst_3)))) {r : R}, (Eq.{succ u1} R (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocRing.toMul.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_2))))) r (HahnSeries.coeff.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (CommMonoidWithZero.toZero.{u1} R (CancelCommMonoidWithZero.toCommMonoidWithZero.{u1} R 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(LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))))))) R (HahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))))) (HahnSeries.instZeroHahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))) (ZeroHom.zeroHomClass.{u1, max u2 u1} R (HahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))))) (HahnSeries.instZeroHahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))))))) (HahnSeries.single.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (MulZeroOneClass.toZero.{u1} R (NonAssocSemiring.toMulZeroOneClass.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))))) (Neg.neg.{u2} Γ (NegZeroClass.toNeg.{u2} Γ (SubNegZeroMonoid.toNegZeroClass.{u2} Γ (SubtractionMonoid.toSubNegZeroMonoid.{u2} Γ (SubtractionCommMonoid.toSubtractionMonoid.{u2} Γ (AddCommGroup.toDivisionAddCommMonoid.{u2} Γ (OrderedAddCommGroup.toAddCommGroup.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1))))))) (HahnSeries.order.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (CommMonoidWithZero.toZero.{u1} R (CancelCommMonoidWithZero.toCommMonoidWithZero.{u1} R (IsDomain.toCancelCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2) _inst_3))) (NegZeroClass.toZero.{u2} Γ (SubNegZeroMonoid.toNegZeroClass.{u2} Γ (SubtractionMonoid.toSubNegZeroMonoid.{u2} Γ (SubtractionCommMonoid.toSubtractionMonoid.{u2} Γ (AddCommGroup.toDivisionAddCommMonoid.{u2} Γ (OrderedAddCommGroup.toAddCommGroup.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1))))))) x))) (OfNat.ofNat.{u1} R 1 (One.toOfNat1.{u1} R (Semiring.toOne.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))))))) x))))
+Case conversion may be inaccurate. Consider using '#align hahn_series.unit_aux HahnSeries.unit_auxₓ'. -/
 theorem unit_aux (x : HahnSeries Γ R) {r : R} (hr : r * x.coeff x.order = 1) :
-    0 < addVal Γ R (1 - c r * single (-x.order) 1 * x) :=
+    0 < addVal Γ R (1 - C r * single (-x.order) 1 * x) :=
   by
   have h10 : (1 : R) ≠ 0 := one_ne_zero
   have x0 : x ≠ 0 := ne_zero_of_coeff_ne_zero (right_ne_zero_of_mul_eq_one hr)
@@ -1898,6 +2728,12 @@ theorem unit_aux (x : HahnSeries Γ R) {r : R} (hr : r * x.coeff x.order = 1) :
       ← add_neg_self x.order, single_mul_coeff_add, one_mul, hr, sub_self]
 #align hahn_series.unit_aux HahnSeries.unit_aux
 
+/- warning: hahn_series.is_unit_iff -> HahnSeries.isUnit_iff is a dubious translation:
+lean 3 declaration is
+  forall {Γ : Type.{u1}} {R : Type.{u2}} [_inst_1 : LinearOrderedAddCommGroup.{u1} Γ] [_inst_2 : CommRing.{u2} R] [_inst_3 : IsDomain.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_2))] {x : HahnSeries.{u1, u2} Γ R (OrderedAddCommGroup.toPartialOrder.{u1} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} Γ _inst_1)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_2))))))}, Iff (IsUnit.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedAddCommGroup.toPartialOrder.{u1} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} Γ _inst_1)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_2))))))) (Ring.toMonoid.{max u1 u2} (HahnSeries.{u1, u2} Γ R (OrderedAddCommGroup.toPartialOrder.{u1} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} Γ _inst_1)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_2))))))) (HahnSeries.ring.{u1, u2} Γ R (OrderedAddCommGroup.toOrderedCancelAddCommMonoid.{u1} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} Γ _inst_1)) (CommRing.toRing.{u2} R _inst_2))) x) (IsUnit.{u2} R (Ring.toMonoid.{u2} R (CommRing.toRing.{u2} R _inst_2)) (HahnSeries.coeff.{u1, u2} Γ R (OrderedAddCommGroup.toPartialOrder.{u1} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} Γ _inst_1)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_2)))))) x (HahnSeries.order.{u1, u2} Γ R (OrderedAddCommGroup.toPartialOrder.{u1} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} Γ _inst_1)) (MulZeroClass.toHasZero.{u2} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_2)))))) (AddZeroClass.toHasZero.{u1} Γ (AddMonoid.toAddZeroClass.{u1} Γ (SubNegMonoid.toAddMonoid.{u1} Γ (AddGroup.toSubNegMonoid.{u1} Γ (AddCommGroup.toAddGroup.{u1} Γ (OrderedAddCommGroup.toAddCommGroup.{u1} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u1} Γ _inst_1))))))) x)))
+but is expected to have type
+  forall {Γ : Type.{u2}} {R : Type.{u1}} [_inst_1 : LinearOrderedAddCommGroup.{u2} Γ] [_inst_2 : CommRing.{u1} R] [_inst_3 : IsDomain.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))] {x : HahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (CommMonoidWithZero.toZero.{u1} R (CancelCommMonoidWithZero.toCommMonoidWithZero.{u1} R (IsDomain.toCancelCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2) _inst_3)))}, Iff (IsUnit.{max u2 u1} (HahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (CommMonoidWithZero.toZero.{u1} R (CancelCommMonoidWithZero.toCommMonoidWithZero.{u1} R (IsDomain.toCancelCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2) _inst_3)))) (MonoidWithZero.toMonoid.{max u2 u1} (HahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (CommMonoidWithZero.toZero.{u1} R (CancelCommMonoidWithZero.toCommMonoidWithZero.{u1} R (IsDomain.toCancelCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2) _inst_3)))) (Semiring.toMonoidWithZero.{max u2 u1} (HahnSeries.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (CommMonoidWithZero.toZero.{u1} R (CancelCommMonoidWithZero.toCommMonoidWithZero.{u1} R (IsDomain.toCancelCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2) _inst_3)))) (HahnSeries.instSemiringHahnSeriesToPartialOrderToZeroToMonoidWithZero.{u2, u1} Γ R (LinearOrderedCancelAddCommMonoid.toOrderedCancelAddCommMonoid.{u2} Γ (LinearOrderedAddCommGroup.toLinearOrderedAddCancelCommMonoid.{u2} Γ _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2))))) x) (IsUnit.{u1} R (MonoidWithZero.toMonoid.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2)))) (HahnSeries.coeff.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (CommMonoidWithZero.toZero.{u1} R (CancelCommMonoidWithZero.toCommMonoidWithZero.{u1} R (IsDomain.toCancelCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2) _inst_3))) x (HahnSeries.order.{u2, u1} Γ R (OrderedAddCommGroup.toPartialOrder.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1)) (CommMonoidWithZero.toZero.{u1} R (CancelCommMonoidWithZero.toCommMonoidWithZero.{u1} R (IsDomain.toCancelCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_2) _inst_3))) (NegZeroClass.toZero.{u2} Γ (SubNegZeroMonoid.toNegZeroClass.{u2} Γ (SubtractionMonoid.toSubNegZeroMonoid.{u2} Γ (SubtractionCommMonoid.toSubtractionMonoid.{u2} Γ (AddCommGroup.toDivisionAddCommMonoid.{u2} Γ (OrderedAddCommGroup.toAddCommGroup.{u2} Γ (LinearOrderedAddCommGroup.toOrderedAddCommGroup.{u2} Γ _inst_1))))))) x)))
+Case conversion may be inaccurate. Consider using '#align hahn_series.is_unit_iff HahnSeries.isUnit_iffₓ'. -/
 theorem isUnit_iff {x : HahnSeries Γ R} : IsUnit x ↔ IsUnit (x.coeff x.order) :=
   by
   constructor
@@ -1923,7 +2759,7 @@ instance [Field R] : Field (HahnSeries Γ R) :=
     inv := fun x =>
       if x0 : x = 0 then 0
       else
-        c (x.coeff x.order)⁻¹ * (single (-x.order)) 1 *
+        C (x.coeff x.order)⁻¹ * (single (-x.order)) 1 *
           (SummableFamily.powers _ (unit_aux x (inv_mul_cancel (coeff_order_ne_zero x0)))).hsum
     inv_zero := dif_pos rfl
     mul_inv_cancel := fun x x0 =>

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

@@ -1217,7 +1217,7 @@ theorem ofPowerSeries_apply_coeff (x : PowerSeries R) (n : ℕ) :
 #align hahn_series.of_power_series_apply_coeff HahnSeries.ofPowerSeries_apply_coeff
 
 @[simp]
-theorem ofPowerSeries_c (r : R) : ofPowerSeries Γ R (PowerSeries.c R r) = HahnSeries.c r :=
+theorem ofPowerSeries_c (r : R) : ofPowerSeries Γ R (PowerSeries.C R r) = HahnSeries.c r :=
   by
   ext n
   simp only [C, single_coeff, of_power_series_apply, RingHom.coe_mk]
@@ -1226,13 +1226,13 @@ theorem ofPowerSeries_c (r : R) : ofPowerSeries Γ R (PowerSeries.c R r) = HahnS
     convert@emb_domain_coeff _ _ _ _ _ _ _ _ 0 <;> simp
   · rw [emb_domain_notin_image_support]
     simp only [not_exists, Set.mem_image, to_power_series_symm_apply_coeff, mem_support,
-      PowerSeries.coeff_c]
+      PowerSeries.coeff_C]
     intro
     simp (config := { contextual := true }) [Ne.symm hn]
 #align hahn_series.of_power_series_C HahnSeries.ofPowerSeries_c
 
 @[simp]
-theorem ofPowerSeries_x : ofPowerSeries Γ R PowerSeries.x = single 1 1 :=
+theorem ofPowerSeries_x : ofPowerSeries Γ R PowerSeries.X = single 1 1 :=
   by
   ext n
   simp only [single_coeff, of_power_series_apply, RingHom.coe_mk]
@@ -1241,14 +1241,14 @@ theorem ofPowerSeries_x : ofPowerSeries Γ R PowerSeries.x = single 1 1 :=
     convert@emb_domain_coeff _ _ _ _ _ _ _ _ 1 <;> simp
   · rw [emb_domain_notin_image_support]
     simp only [not_exists, Set.mem_image, to_power_series_symm_apply_coeff, mem_support,
-      PowerSeries.coeff_x]
+      PowerSeries.coeff_X]
     intro
     simp (config := { contextual := true }) [Ne.symm hn]
 #align hahn_series.of_power_series_X HahnSeries.ofPowerSeries_x
 
 @[simp]
 theorem ofPowerSeries_x_pow {R} [CommSemiring R] (n : ℕ) :
-    ofPowerSeries Γ R (PowerSeries.x ^ n) = single (n : Γ) 1 :=
+    ofPowerSeries Γ R (PowerSeries.X ^ n) = single (n : Γ) 1 :=
   by
   rw [RingHom.map_pow]
   induction' n with n ih
@@ -1321,7 +1321,7 @@ def toPowerSeriesAlg : HahnSeries ℕ A ≃ₐ[R] PowerSeries A :=
       · simp only [PowerSeries.coeff_zero_eq_constantCoeff, single_coeff_same]
         rfl
       · simp only [n.succ_ne_zero, Ne.def, not_false_iff, single_coeff_of_ne]
-        rw [PowerSeries.coeff_c, if_neg n.succ_ne_zero] }
+        rw [PowerSeries.coeff_C, if_neg n.succ_ne_zero] }
 #align hahn_series.to_power_series_alg HahnSeries.toPowerSeriesAlg
 
 variable (Γ R) [StrictOrderedSemiring Γ]

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

@@ -1409,12 +1409,12 @@ theorem addVal_le_of_coeff_ne_zero {x : HahnSeries Γ R} {g : Γ} (h : x.coeff g
 
 end Valuation
 
-theorem isPwo_unionᵢ_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R]
+theorem isPwo_iUnion_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R]
     {x : HahnSeries Γ R} (hx : 0 < addVal Γ R x) : (⋃ n : ℕ, (x ^ n).support).IsPwo :=
   by
   apply (x.is_wf_support.is_pwo.add_submonoid_closure fun g hg => _).mono _
   · exact WithTop.coe_le_coe.1 (le_trans (le_of_lt hx) (add_val_le_of_coeff_ne_zero hg))
-  refine' Set.unionᵢ_subset fun n => _
+  refine' Set.iUnion_subset fun n => _
   induction' n with n ih <;> intro g hn
   · simp only [exists_prop, and_true_iff, Set.mem_singleton_iff, Set.setOf_eq_eq_singleton,
       mem_support, ite_eq_right_iff, Ne.def, not_false_iff, one_ne_zero, pow_zero, not_forall,
@@ -1423,7 +1423,7 @@ theorem isPwo_unionᵢ_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Rin
     exact AddSubmonoid.zero_mem _
   · obtain ⟨i, j, hi, hj, rfl⟩ := support_mul_subset_add_support hn
     exact SetLike.mem_coe.2 (AddSubmonoid.add_mem _ (AddSubmonoid.subset_closure hi) (ih hj))
-#align hahn_series.is_pwo_Union_support_powers HahnSeries.isPwo_unionᵢ_support_powers
+#align hahn_series.is_pwo_Union_support_powers HahnSeries.isPwo_iUnion_support_powers
 
 section
 
@@ -1434,7 +1434,7 @@ variable (Γ) (R) [PartialOrder Γ] [AddCommMonoid R]
   and that only finitely many series are nonzero at any given coefficient. -/
 structure SummableFamily (α : Type _) where
   toFun : α → HahnSeries Γ R
-  isPwo_unionᵢ_support' : Set.IsPwo (⋃ a : α, (to_fun a).support)
+  isPwo_iUnion_support' : Set.IsPwo (⋃ a : α, (to_fun a).support)
   finite_co_support' : ∀ g : Γ, { a | (to_fun a).coeff g ≠ 0 }.Finite
 #align hahn_series.summable_family HahnSeries.SummableFamily
 
@@ -1449,9 +1449,9 @@ variable [PartialOrder Γ] [AddCommMonoid R] {α : Type _}
 instance : CoeFun (SummableFamily Γ R α) fun _ => α → HahnSeries Γ R :=
   ⟨toFun⟩
 
-theorem isPwo_unionᵢ_support (s : SummableFamily Γ R α) : Set.IsPwo (⋃ a : α, (s a).support) :=
-  s.isPwo_unionᵢ_support'
-#align hahn_series.summable_family.is_pwo_Union_support HahnSeries.SummableFamily.isPwo_unionᵢ_support
+theorem isPwo_iUnion_support (s : SummableFamily Γ R α) : Set.IsPwo (⋃ a : α, (s a).support) :=
+  s.isPwo_iUnion_support'
+#align hahn_series.summable_family.is_pwo_Union_support HahnSeries.SummableFamily.isPwo_iUnion_support
 
 theorem finite_co_support (s : SummableFamily Γ R α) (g : Γ) :
     (Function.support fun a => (s a).coeff g).Finite :=
@@ -1472,11 +1472,11 @@ theorem ext {s t : SummableFamily Γ R α} (h : ∀ a : α, s a = t a) : s = t :
 instance : Add (SummableFamily Γ R α) :=
   ⟨fun x y =>
     { toFun := x + y
-      isPwo_unionᵢ_support' :=
-        (x.isPwo_unionᵢ_support.union y.isPwo_unionᵢ_support).mono
+      isPwo_iUnion_support' :=
+        (x.isPwo_iUnion_support.union y.isPwo_iUnion_support).mono
           (by
-            rw [← Set.unionᵢ_union_distrib]
-            exact Set.unionᵢ_mono fun a => support_add_subset)
+            rw [← Set.iUnion_union_distrib]
+            exact Set.iUnion_mono fun a => support_add_subset)
       finite_co_support' := fun g =>
         ((x.finite_co_support g).union (y.finite_co_support g)).Subset
           (by
@@ -1532,9 +1532,9 @@ def hsum (s : SummableFamily Γ R α) : HahnSeries Γ R
     where
   coeff g := ∑ᶠ i, (s i).coeff g
   isPwo_support' :=
-    s.isPwo_unionᵢ_support.mono fun g => by
+    s.isPwo_iUnion_support.mono fun g => by
       contrapose
-      rw [Set.mem_unionᵢ, not_exists, Function.mem_support, Classical.not_not]
+      rw [Set.mem_iUnion, not_exists, Function.mem_support, Classical.not_not]
       simp_rw [mem_support, Classical.not_not]
       intro h
       rw [finsum_congr h, finsum_zero]
@@ -1550,7 +1550,7 @@ theorem support_hsum_subset {s : SummableFamily Γ R α} : s.hsum.support ⊆ 
   by
   rw [mem_support, hsum_coeff, finsum_eq_sum _ (s.finite_co_support _)] at hg
   obtain ⟨a, h1, h2⟩ := exists_ne_zero_of_sum_ne_zero hg
-  rw [Set.mem_unionᵢ]
+  rw [Set.mem_iUnion]
   exact ⟨a, h2⟩
 #align hahn_series.summable_family.support_hsum_subset HahnSeries.SummableFamily.support_hsum_subset
 
@@ -1573,7 +1573,7 @@ instance : AddCommGroup (SummableFamily Γ R α) :=
     SummableFamily.addCommMonoid with
     neg := fun s =>
       { toFun := fun a => -s a
-        isPwo_unionᵢ_support' := by
+        isPwo_iUnion_support' := by
           simp_rw [support_neg]
           exact s.is_pwo_Union_support'
         finite_co_support' := fun g =>
@@ -1611,25 +1611,25 @@ variable [OrderedCancelAddCommMonoid Γ] [Semiring R] {α : Type _}
 instance : SMul (HahnSeries Γ R) (SummableFamily Γ R α)
     where smul x s :=
     { toFun := fun a => x * s a
-      isPwo_unionᵢ_support' :=
+      isPwo_iUnion_support' :=
         by
         apply (x.is_pwo_support.add s.is_pwo_Union_support).mono
-        refine' Set.Subset.trans (Set.unionᵢ_mono fun a => support_mul_subset_add_support) _
+        refine' Set.Subset.trans (Set.iUnion_mono fun a => support_mul_subset_add_support) _
         intro g
-        simp only [Set.mem_unionᵢ, exists_imp]
-        exact fun a ha => (Set.add_subset_add (Set.Subset.refl _) (Set.subset_unionᵢ _ a)) ha
+        simp only [Set.mem_iUnion, exists_imp]
+        exact fun a ha => (Set.add_subset_add (Set.Subset.refl _) (Set.subset_iUnion _ a)) ha
       finite_co_support' := fun g =>
         by
         refine'
-          ((add_antidiagonal x.is_pwo_support s.is_pwo_Union_support g).finite_toSet.bunionᵢ'
+          ((add_antidiagonal x.is_pwo_support s.is_pwo_Union_support g).finite_toSet.biUnion'
                 fun ij hij => _).Subset
             fun a ha => _
         · exact fun ij hij => Function.support fun a => (s a).coeff ij.2
         · apply s.finite_co_support
         · obtain ⟨i, j, hi, hj, rfl⟩ := support_mul_subset_add_support ha
-          simp only [exists_prop, Set.mem_unionᵢ, mem_add_antidiagonal, mul_coeff, mem_support,
+          simp only [exists_prop, Set.mem_iUnion, mem_add_antidiagonal, mul_coeff, mem_support,
             is_pwo_support, Prod.exists]
-          exact ⟨i, j, mem_coe.2 (mem_add_antidiagonal.2 ⟨hi, Set.mem_unionᵢ.2 ⟨a, hj⟩, rfl⟩), hj⟩ }
+          exact ⟨i, j, mem_coe.2 (mem_add_antidiagonal.2 ⟨hi, Set.mem_iUnion.2 ⟨a, hj⟩, rfl⟩), hj⟩ }
 
 @[simp]
 theorem smul_apply {x : HahnSeries Γ R} {s : SummableFamily Γ R α} {a : α} : (x • s) a = x * s a :=
@@ -1651,13 +1651,13 @@ theorem hsum_smul {x : HahnSeries Γ R} {s : SummableFamily Γ R α} : (x • s)
   by
   ext g
   simp only [mul_coeff, hsum_coeff, smul_apply]
-  have h : ∀ i, (s i).support ⊆ ⋃ j, (s j).support := Set.subset_unionᵢ _
+  have h : ∀ i, (s i).support ⊆ ⋃ j, (s j).support := Set.subset_iUnion _
   refine'
     (Eq.trans (finsum_congr fun a => _)
           (finsum_sum_comm (add_antidiagonal x.is_pwo_support s.is_pwo_Union_support g)
             (fun i ij => x.coeff (Prod.fst ij) * (s i).coeff ij.snd) _)).trans
       _
-  · refine' sum_subset (add_antidiagonal_mono_right (Set.subset_unionᵢ _ a)) _
+  · refine' sum_subset (add_antidiagonal_mono_right (Set.subset_iUnion _ a)) _
     rintro ⟨i, j⟩ hU ha
     rw [mem_add_antidiagonal] at *
     rw [Classical.not_not.1 fun con => ha ⟨hU.1, Con, hU.2.2⟩, MulZeroClass.mul_zero]
@@ -1671,7 +1671,7 @@ theorem hsum_smul {x : HahnSeries Γ R} {s : SummableFamily Γ R α} : (x • s)
       rw [mul_finsum]
       apply s.finite_co_support
     · intro x hx
-      simp only [Set.mem_unionᵢ, Ne.def, mem_support]
+      simp only [Set.mem_iUnion, Ne.def, mem_support]
       contrapose! hx
       simp [hx]
     · rintro ⟨i, j⟩ hU ha
@@ -1705,15 +1705,15 @@ variable [PartialOrder Γ] [AddCommMonoid R] {α : Type _}
 def ofFinsupp (f : α →₀ HahnSeries Γ R) : SummableFamily Γ R α
     where
   toFun := f
-  isPwo_unionᵢ_support' :=
+  isPwo_iUnion_support' :=
     by
     apply (f.support.is_pwo_bUnion.2 fun a ha => (f a).isPwo_support).mono
-    refine' Set.unionᵢ_subset_iff.2 fun a g hg => _
+    refine' Set.iUnion_subset_iff.2 fun a g hg => _
     have haf : a ∈ f.support :=
       by
       rw [Finsupp.mem_support_iff, ← support_nonempty_iff]
       exact ⟨g, hg⟩
-    exact Set.mem_bunionᵢ haf hg
+    exact Set.mem_biUnion haf hg
   finite_co_support' g :=
     by
     refine' f.support.finite_to_set.subset fun a ha => _
@@ -1751,12 +1751,12 @@ variable [PartialOrder Γ] [AddCommMonoid R] {α β : Type _}
 def embDomain (s : SummableFamily Γ R α) (f : α ↪ β) : SummableFamily Γ R β
     where
   toFun b := if h : b ∈ Set.range f then s (Classical.choose h) else 0
-  isPwo_unionᵢ_support' :=
+  isPwo_iUnion_support' :=
     by
-    refine' s.is_pwo_Union_support.mono (Set.unionᵢ_subset fun b g h => _)
+    refine' s.is_pwo_Union_support.mono (Set.iUnion_subset fun b g h => _)
     by_cases hb : b ∈ Set.range f
     · rw [dif_pos hb] at h
-      exact Set.mem_unionᵢ.2 ⟨Classical.choose hb, h⟩
+      exact Set.mem_iUnion.2 ⟨Classical.choose hb, h⟩
     · contrapose! h
       simp [hb]
   finite_co_support' g :=
@@ -1807,15 +1807,15 @@ variable [LinearOrderedCancelAddCommMonoid Γ] [CommRing R] [IsDomain R]
 def powers (x : HahnSeries Γ R) (hx : 0 < addVal Γ R x) : SummableFamily Γ R ℕ
     where
   toFun n := x ^ n
-  isPwo_unionᵢ_support' := isPwo_unionᵢ_support_powers hx
+  isPwo_iUnion_support' := isPwo_iUnion_support_powers hx
   finite_co_support' g := by
     have hpwo := is_pwo_Union_support_powers hx
     by_cases hg : g ∈ ⋃ n : ℕ, { g | (x ^ n).coeff g ≠ 0 }
-    swap; · exact set.finite_empty.subset fun n hn => hg (Set.mem_unionᵢ.2 ⟨n, hn⟩)
+    swap; · exact set.finite_empty.subset fun n hn => hg (Set.mem_iUnion.2 ⟨n, hn⟩)
     apply hpwo.is_wf.induction hg
     intro y ys hy
     refine'
-      ((((add_antidiagonal x.is_pwo_support hpwo y).finite_toSet.bunionᵢ fun ij hij =>
+      ((((add_antidiagonal x.is_pwo_support hpwo y).finite_toSet.biUnion fun ij hij =>
                     hy ij.snd _ _).image
                 Nat.succ).union
             (Set.finite_singleton 0)).Subset
@@ -1829,8 +1829,8 @@ def powers (x : HahnSeries Γ R) (hx : 0 < addVal Γ R x) : SummableFamily Γ R
     · rintro (_ | n) hn
       · exact Set.mem_union_right _ (Set.mem_singleton 0)
       · obtain ⟨i, j, hi, hj, rfl⟩ := support_mul_subset_add_support hn
-        refine' Set.mem_union_left _ ⟨n, Set.mem_unionᵢ.2 ⟨⟨i, j⟩, Set.mem_unionᵢ.2 ⟨_, hj⟩⟩, rfl⟩
-        simp only [and_true_iff, Set.mem_unionᵢ, mem_add_antidiagonal, mem_coe, eq_self_iff_true,
+        refine' Set.mem_union_left _ ⟨n, Set.mem_iUnion.2 ⟨⟨i, j⟩, Set.mem_iUnion.2 ⟨_, hj⟩⟩, rfl⟩
+        simp only [and_true_iff, Set.mem_iUnion, mem_add_antidiagonal, mem_coe, eq_self_iff_true,
           Ne.def, mem_support, Set.mem_setOf_eq]
         exact ⟨hi, n, hj⟩
 #align hahn_series.summable_family.powers HahnSeries.SummableFamily.powers

mathlib commit https://github.com/leanprover-community/mathlib/commit/08e1d8d4d989df3a6df86f385e9053ec8a372cc1

@@ -1124,7 +1124,7 @@ instance [Nontrivial Γ] [Nontrivial R] : Nontrivial (Subalgebra R (HahnSeries 
       intro x
       rw [ext_iff, Function.funext_iff, not_forall]
       refine' ⟨a, _⟩
-      rw [single_coeff_same, algebra_map_apply, C_apply, single_coeff_of_ne ha]
+      rw [single_coeff_same, algebraMap_apply, C_apply, single_coeff_of_ne ha]
       exact zero_ne_one⟩⟩
 
 section Domain
@@ -1315,7 +1315,7 @@ def toPowerSeriesAlg : HahnSeries ℕ A ≃ₐ[R] PowerSeries A :=
   { toPowerSeries with
     commutes' := fun r => by
       ext n
-      simp only [algebra_map_apply, PowerSeries.algebraMap_apply, [anonymous], C_apply,
+      simp only [algebraMap_apply, PowerSeries.algebraMap_apply, [anonymous], C_apply,
         coeff_to_power_series]
       cases n
       · simp only [PowerSeries.coeff_zero_eq_constantCoeff, single_coeff_same]

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce7e9d53d4bbc38065db3b595cd5bd73c323bc1d

@@ -1223,7 +1223,7 @@ theorem ofPowerSeries_c (r : R) : ofPowerSeries Γ R (PowerSeries.c R r) = HahnS
   simp only [C, single_coeff, of_power_series_apply, RingHom.coe_mk]
   split_ifs with hn hn
   · subst hn
-    convert @emb_domain_coeff _ _ _ _ _ _ _ _ 0 <;> simp
+    convert@emb_domain_coeff _ _ _ _ _ _ _ _ 0 <;> simp
   · rw [emb_domain_notin_image_support]
     simp only [not_exists, Set.mem_image, to_power_series_symm_apply_coeff, mem_support,
       PowerSeries.coeff_c]
@@ -1238,7 +1238,7 @@ theorem ofPowerSeries_x : ofPowerSeries Γ R PowerSeries.x = single 1 1 :=
   simp only [single_coeff, of_power_series_apply, RingHom.coe_mk]
   split_ifs with hn hn
   · rw [hn]
-    convert @emb_domain_coeff _ _ _ _ _ _ _ _ 1 <;> simp
+    convert@emb_domain_coeff _ _ _ _ _ _ _ _ 1 <;> simp
   · rw [emb_domain_notin_image_support]
     simp only [not_exists, Set.mem_image, to_power_series_symm_apply_coeff, mem_support,
       PowerSeries.coeff_x]

mathlib commit https://github.com/leanprover-community/mathlib/commit/3180fab693e2cee3bff62675571264cb8778b212

@@ -668,7 +668,7 @@ theorem mul_coeff_right' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {
   apply sum_subset_zero_on_sdiff (add_antidiagonal_mono_right hys) _ fun _ _ => rfl
   intro b hb
   simp only [not_and, mem_sdiff, mem_add_antidiagonal, mem_support, not_imp_not] at hb
-  rw [hb.2 hb.1.1 hb.1.2.2, mul_zero]
+  rw [hb.2 hb.1.1 hb.1.2.2, MulZeroClass.mul_zero]
 #align hahn_series.mul_coeff_right' HahnSeries.mul_coeff_right'
 
 theorem mul_coeff_left' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} {s : Set Γ}
@@ -680,7 +680,7 @@ theorem mul_coeff_left' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a
   apply sum_subset_zero_on_sdiff (add_antidiagonal_mono_left hxs) _ fun _ _ => rfl
   intro b hb
   simp only [not_and', mem_sdiff, mem_add_antidiagonal, mem_support, not_ne_iff] at hb
-  rw [hb.2 ⟨hb.1.2.1, hb.1.2.2⟩, zero_mul]
+  rw [hb.2 ⟨hb.1.2.1, hb.1.2.2⟩, MulZeroClass.zero_mul]
 #align hahn_series.mul_coeff_left' HahnSeries.mul_coeff_left'
 
 instance [NonUnitalNonAssocSemiring R] : Distrib (HahnSeries Γ R) :=
@@ -716,7 +716,7 @@ theorem single_mul_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
   · simp [hr]
   simp only [hr, smul_coeff, mul_coeff, support_single_of_ne, Ne.def, not_false_iff, smul_eq_mul]
   by_cases hx : x.coeff a = 0
-  · simp only [hx, mul_zero]
+  · simp only [hx, MulZeroClass.mul_zero]
     rw [sum_congr _ fun _ _ => rfl, sum_empty]
     ext ⟨a1, a2⟩
     simp only [not_mem_empty, not_and, Set.mem_singleton_iff, Classical.not_not,
@@ -746,7 +746,7 @@ theorem mul_single_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
   · simp [hr]
   simp only [hr, smul_coeff, mul_coeff, support_single_of_ne, Ne.def, not_false_iff, smul_eq_mul]
   by_cases hx : x.coeff a = 0
-  · simp only [hx, zero_mul]
+  · simp only [hx, MulZeroClass.zero_mul]
     rw [sum_congr _ fun _ _ => rfl, sum_empty]
     ext ⟨a1, a2⟩
     simp only [not_mem_empty, not_and, Set.mem_singleton_iff, Classical.not_not,
@@ -1639,8 +1639,8 @@ theorem smul_apply {x : HahnSeries Γ R} {s : SummableFamily Γ R α} {a : α} :
 instance : Module (HahnSeries Γ R) (SummableFamily Γ R α)
     where
   smul := (· • ·)
-  smul_zero x := ext fun a => mul_zero _
-  zero_smul x := ext fun a => zero_mul _
+  smul_zero x := ext fun a => MulZeroClass.mul_zero _
+  zero_smul x := ext fun a => MulZeroClass.zero_mul _
   one_smul x := ext fun a => one_mul _
   add_smul x y s := ext fun a => add_mul _ _ _
   smul_add x s t := ext fun a => mul_add _ _ _
@@ -1660,12 +1660,12 @@ theorem hsum_smul {x : HahnSeries Γ R} {s : SummableFamily Γ R α} : (x • s)
   · refine' sum_subset (add_antidiagonal_mono_right (Set.subset_unionᵢ _ a)) _
     rintro ⟨i, j⟩ hU ha
     rw [mem_add_antidiagonal] at *
-    rw [Classical.not_not.1 fun con => ha ⟨hU.1, Con, hU.2.2⟩, mul_zero]
+    rw [Classical.not_not.1 fun con => ha ⟨hU.1, Con, hU.2.2⟩, MulZeroClass.mul_zero]
   · rintro ⟨i, j⟩ hij
     refine' (s.finite_co_support j).Subset _
     simp_rw [Function.support_subset_iff', Function.mem_support, Classical.not_not]
     intro a ha
-    rw [ha, mul_zero]
+    rw [ha, MulZeroClass.mul_zero]
   · refine' (sum_congr rfl _).trans (sum_subset (add_antidiagonal_mono_right _) _).symm
     · rintro ⟨i, j⟩ hij
       rw [mul_finsum]
@@ -1676,7 +1676,8 @@ theorem hsum_smul {x : HahnSeries Γ R} {s : SummableFamily Γ R α} : (x • s)
       simp [hx]
     · rintro ⟨i, j⟩ hU ha
       rw [mem_add_antidiagonal] at *
-      rw [← hsum_coeff, Classical.not_not.1 fun con => ha ⟨hU.1, Con, hU.2.2⟩, mul_zero]
+      rw [← hsum_coeff, Classical.not_not.1 fun con => ha ⟨hU.1, Con, hU.2.2⟩,
+        MulZeroClass.mul_zero]
 #align hahn_series.summable_family.hsum_smul HahnSeries.SummableFamily.hsum_smul
 
 /-- The summation of a `summable_family` as a `linear_map`. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/62e8311c791f02c47451bf14aa2501048e7c2f33

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Aaron Anderson
 
 ! This file was ported from Lean 3 source module ring_theory.hahn_series
-! leanprover-community/mathlib commit b1d911acd60ab198808e853292106ee352b648ea
+! leanprover-community/mathlib commit a484a7d0eade4e1268f4fb402859b6686037f965
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -490,6 +490,14 @@ theorem sub_coeff {x y : HahnSeries Γ R} {a : Γ} : (x - y).coeff a = x.coeff a
   simp
 #align hahn_series.sub_coeff HahnSeries.sub_coeff
 
+@[simp]
+theorem order_neg [Zero Γ] {f : HahnSeries Γ R} : (-f).order = f.order :=
+  by
+  by_cases hf : f = 0
+  · simp only [hf, neg_zero]
+  simp only [order, support_neg, neg_eq_zero]
+#align hahn_series.order_neg HahnSeries.order_neg
+
 end AddGroup
 
 instance [AddCommGroup R] : AddCommGroup (HahnSeries Γ R) :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

A PR accompanying #12339.

Zulip discussion

@@ -383,7 +383,7 @@ theorem order_ofForallLtEqZero [Zero Γ] (f : Γ → R) (hf : f ≠ 0) (n : Γ)
   dsimp only [order]
   by_cases h : ofSuppBddBelow f (forallLTEqZero_supp_BddBelow f n hn) = 0
   cases h
-  exact (hf rfl).elim
+  · exact (hf rfl).elim
   simp_all only [dite_false]
   rw [Set.IsWF.le_min_iff]
   intro m hm

On nightly-testing ofPowerSeries_X_pow becomes a bad simp lemma, because the LHS will simplify. Fix this by adding the missing lemma so the whole proof is just by simp, and remove @[simp].

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -142,15 +142,9 @@ theorem ofPowerSeries_X : ofPowerSeries Γ R PowerSeries.X = single 1 1 := by
     simp (config := { contextual := true }) [Ne.symm hn]
 #align hahn_series.of_power_series_X HahnSeries.ofPowerSeries_X
 
-@[simp]
-theorem ofPowerSeries_X_pow {R} [CommSemiring R] (n : ℕ) :
+theorem ofPowerSeries_X_pow {R} [Semiring R] (n : ℕ) :
     ofPowerSeries Γ R (PowerSeries.X ^ n) = single (n : Γ) 1 := by
-  rw [RingHom.map_pow]
-  induction' n with n ih
-  · simp
-    rfl
-  · rw [pow_succ, ih, ofPowerSeries_X, mul_comm, single_mul_single, one_mul,
-      Nat.cast_succ, add_comm]
+  simp
 #align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_X_pow
 
 -- Lemmas about converting hahn_series over fintype to and from mv_power_series

On nightly-testing ofPowerSeries_X_pow becomes a bad simp lemma, because the LHS will simplify. Fix this by adding the missing lemma so the whole proof is just by simp, and remove @[simp].

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

@@ -442,6 +442,18 @@ theorem single_mul_single {a b : Γ} {r s : R} :
 
 end NonUnitalNonAssocSemiring
 
+section Semiring
+
+variable [Semiring R]
+
+@[simp]
+theorem single_pow (a : Γ) (n : ℕ) (r : R) : single a r ^ n = single (n • a) (r ^ n) := by
+  induction' n with n IH
+  · simp; rfl
+  · rw [pow_succ, pow_succ, IH, single_mul_single, succ_nsmul]
+
+end Semiring
+
 section NonAssocSemiring
 
 variable [NonAssocSemiring R]

Define the canonical coercion from the nonnegative rationals to any division semiring.

From LeanAPAP

@@ -588,6 +588,7 @@ instance instField [Field R] : Field (HahnSeries Γ R) where
         (unit_aux x (inv_mul_cancel (coeff_order_ne_zero x0)))
     rw [sub_sub_cancel] at h
     rw [← mul_assoc, mul_comm x, h]
+  nnqsmul := _
   qsmul := _
 
 end Inversion

This is the parts of the diff of #11203 which don't mention NNRat.cast.

• Use more where notation.
• Write qsmul := _ instead of qsmul := qsmulRec _ to make the instances more robust to definition changes.
• Delete qsmulRec.
• Move qsmul before ratCast_def in instance declarations.
• Name more instances.
• Rename rat_smul to qsmul.

@@ -574,23 +574,21 @@ theorem isUnit_iff {x : HahnSeries Γ R} : IsUnit x ↔ IsUnit (x.coeff x.order)
 
 end IsDomain
 
-instance [Field R] : Field (HahnSeries Γ R) :=
-  { inferInstanceAs (IsDomain (HahnSeries Γ R)),
-    inferInstanceAs (CommRing (HahnSeries Γ R)) with
-    inv := fun x =>
-      if x0 : x = 0 then 0
-      else
-        C (x.coeff x.order)⁻¹ * (single (-x.order)) 1 *
-          (SummableFamily.powers _ (unit_aux x (inv_mul_cancel (coeff_order_ne_zero x0)))).hsum
-    inv_zero := dif_pos rfl
-    mul_inv_cancel := fun x x0 => by
-      refine' (congr rfl (dif_neg x0)).trans _
-      have h :=
-        SummableFamily.one_sub_self_mul_hsum_powers
-          (unit_aux x (inv_mul_cancel (coeff_order_ne_zero x0)))
-      rw [sub_sub_cancel] at h
-      rw [← mul_assoc, mul_comm x, h]
-    qsmul := qsmulRec _ }
+instance instField [Field R] : Field (HahnSeries Γ R) where
+  __ : IsDomain (HahnSeries Γ R) := inferInstance
+  inv x :=
+    if x0 : x = 0 then 0
+    else
+      C (x.coeff x.order)⁻¹ * (single (-x.order)) 1 *
+        (SummableFamily.powers _ (unit_aux x (inv_mul_cancel (coeff_order_ne_zero x0)))).hsum
+  inv_zero := dif_pos rfl
+  mul_inv_cancel x x0 := (congr rfl (dif_neg x0)).trans $ by
+    have h :=
+      SummableFamily.one_sub_self_mul_hsum_powers
+        (unit_aux x (inv_mul_cancel (coeff_order_ne_zero x0)))
+    rw [sub_sub_cancel] at h
+    rw [← mul_assoc, mul_comm x, h]
+  qsmul := _
 
 end Inversion
 

This is based on seeing the import RingTheory.Ideal.Operations → LinearAlgebra.Basis on the longest pole. It feels like Ideal.Operations is a bit of a chokepoint for compiling Mathlib since it imports many files and is imported by many files. So splitting out a few obvious parts should help with compile times. Moreover, there are a bunch of imports that I could remove and have the file still compile: presumably these are (were) transitive dependencies that shake does not remove.

The following results and their corollaries were split off:

• Ideal.basisSpanSingleton
• Basis.mem_ideal_iff
• Ideal.colon

In particular, now Ideal.Operations should no longer need to know about Basis or submodule quotients.

@@ -3,9 +3,10 @@ Copyright (c) 2021 Aaron Anderson. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Aaron Anderson
 -/
-import Mathlib.RingTheory.HahnSeries.Multiplication
+import Mathlib.Algebra.BigOperators.Finprod
 import Mathlib.Algebra.EuclideanDomain.Instances
 import Mathlib.Algebra.Order.Group.WithTop
+import Mathlib.RingTheory.HahnSeries.Multiplication
 import Mathlib.RingTheory.Valuation.Basic
 
 #align_import ring_theory.hahn_series from "leanprover-community/mathlib"@"a484a7d0eade4e1268f4fb402859b6686037f965"

This is based on seeing the import RingTheory.Ideal.Operations → LinearAlgebra.Basis on the longest pole. It feels like Ideal.Operations is a bit of a chokepoint for compiling Mathlib since it imports many files and is imported by many files. So splitting out a few obvious parts should help with compile times. Moreover, there are a bunch of imports that I could remove and have the file still compile: presumably these are (were) transitive dependencies that shake does not remove.

The following results and their corollaries were split off:

• Ideal.basisSpanSingleton
• Basis.mem_ideal_iff
• Ideal.colon

In particular, now Ideal.Operations should no longer need to know about Basis or submodule quotients.

@@ -3,7 +3,6 @@ Copyright (c) 2021 Aaron Anderson. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Aaron Anderson, Scott Carnahan
 -/
-import Mathlib.Algebra.BigOperators.Finprod
 import Mathlib.RingTheory.HahnSeries.Addition
 import Mathlib.Algebra.Algebra.Subalgebra.Basic
 import Mathlib.Data.Finset.MulAntidiagonal

These are changes from #11997, the latest adaptation PR for nightly-2024-04-07, which can be made directly on master.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>

@@ -251,7 +251,7 @@ instance : Neg (SummableFamily Γ R α) :=
         simp_rw [support_neg]
         exact s.isPWO_iUnion_support
       finite_co_support' := fun g => by
-        simp only [neg_coeff', Pi.neg_apply, Ne.def, neg_eq_zero]
+        simp only [neg_coeff', Pi.neg_apply, Ne, neg_eq_zero]
         exact s.finite_co_support g }⟩
 
 instance : AddCommGroup (SummableFamily Γ R α) :=
@@ -344,7 +344,7 @@ theorem hsum_smul {x : HahnSeries Γ R} {s : SummableFamily Γ R α} : (x • s)
       rw [mul_finsum]
       apply s.finite_co_support
     · intro x hx
-      simp only [Set.mem_iUnion, Ne.def, mem_support]
+      simp only [Set.mem_iUnion, Ne, mem_support]
       contrapose! hx
       simp [hx]
     · rintro ⟨i, j⟩ hU ha
@@ -385,7 +385,7 @@ def ofFinsupp (f : α →₀ HahnSeries Γ R) : SummableFamily Γ R α where
     exact Set.mem_biUnion haf hg
   finite_co_support' g := by
     refine' f.support.finite_toSet.subset fun a ha => _
-    simp only [coeff.addMonoidHom_apply, mem_coe, Finsupp.mem_support_iff, Ne.def,
+    simp only [coeff.addMonoidHom_apply, mem_coe, Finsupp.mem_support_iff, Ne,
       Function.mem_support]
     contrapose! ha
     simp [ha]
@@ -399,11 +399,11 @@ theorem coe_ofFinsupp {f : α →₀ HahnSeries Γ R} : ⇑(SummableFamily.ofFin
 @[simp]
 theorem hsum_ofFinsupp {f : α →₀ HahnSeries Γ R} : (ofFinsupp f).hsum = f.sum fun _ => id := by
   ext g
-  simp only [hsum_coeff, coe_ofFinsupp, Finsupp.sum, Ne.def]
-  simp_rw [← coeff.addMonoidHom_apply, id.def]
+  simp only [hsum_coeff, coe_ofFinsupp, Finsupp.sum, Ne]
+  simp_rw [← coeff.addMonoidHom_apply, id]
   rw [map_sum, finsum_eq_sum_of_support_subset]
   intro x h
-  simp only [coeff.addMonoidHom_apply, mem_coe, Finsupp.mem_support_iff, Ne.def]
+  simp only [coeff.addMonoidHom_apply, mem_coe, Finsupp.mem_support_iff, Ne]
   contrapose! h
   simp [h]
 #align hahn_series.summable_family.hsum_of_finsupp HahnSeries.SummableFamily.hsum_ofFinsupp
@@ -429,9 +429,9 @@ def embDomain (s : SummableFamily Γ R α) (f : α ↪ β) : SummableFamily Γ R
       (by
         intro b h
         by_cases hb : b ∈ Set.range f
-        · simp only [Ne.def, Set.mem_setOf_eq, dif_pos hb] at h
+        · simp only [Ne, Set.mem_setOf_eq, dif_pos hb] at h
           exact ⟨Classical.choose hb, h, Classical.choose_spec hb⟩
-        · simp only [Ne.def, Set.mem_setOf_eq, dif_neg hb, zero_coeff, not_true_eq_false] at h)
+        · simp only [Ne, Set.mem_setOf_eq, dif_neg hb, zero_coeff, not_true_eq_false] at h)
 #align hahn_series.summable_family.emb_domain HahnSeries.SummableFamily.embDomain
 
 variable (s : SummableFamily Γ R α) (f : α ↪ β) {a : α} {b : β}
@@ -492,7 +492,7 @@ def powers (x : HahnSeries Γ R) (hx : 0 < addVal Γ R x) : SummableFamily Γ R
       · obtain ⟨i, hi, j, hj, rfl⟩ := support_mul_subset_add_support hn
         refine' Set.mem_union_left _ ⟨n, Set.mem_iUnion.2 ⟨⟨j, i⟩, Set.mem_iUnion.2 ⟨_, hi⟩⟩, rfl⟩
         simp only [and_true_iff, Set.mem_iUnion, mem_addAntidiagonal, mem_coe, eq_self_iff_true,
-          Ne.def, mem_support, Set.mem_setOf_eq]
+          Ne, mem_support, Set.mem_setOf_eq]
         exact ⟨hj, ⟨n, hi⟩, add_comm j i⟩
 #align hahn_series.summable_family.powers HahnSeries.SummableFamily.powers
 
@@ -548,7 +548,7 @@ theorem unit_aux (x : HahnSeries Γ R) {r : R} (hr : r * x.coeff x.order = 1) :
   · rw [addVal_apply, ← WithTop.coe_zero]
     split_ifs with h
     · apply WithTop.coe_ne_top
-    rw [Ne.def, WithTop.coe_eq_coe]
+    rw [Ne, WithTop.coe_eq_coe]
     intro con
     apply coeff_order_ne_zero h
     rw [← con, mul_assoc, sub_coeff, one_coeff, if_pos rfl, C_mul_eq_smul, smul_coeff, smul_eq_mul,

This PR defines Hasse derivatives of formal Laurent series using integer binomial coefficients, and proves some basic properties.

@@ -358,7 +358,7 @@ theorem suppBddBelow_supp_PWO (f : Γ → R) (hf : BddBelow (Function.support f)
 
 theorem forallLTEqZero_supp_BddBelow (f : Γ → R) (n : Γ) (hn : ∀(m : Γ), m < n → f m = 0) :
     BddBelow (Function.support f) := by
-  unfold BddBelow Set.Nonempty lowerBounds
+  simp only [BddBelow, Set.Nonempty, lowerBounds]
   use n
   intro m hm
   rw [Function.mem_support, ne_eq] at hm

Polynomial and MvPolynomial are algebraic objects, hence should be under Algebra (or at least not under Data)

@@ -74,7 +74,7 @@ end HahnSeries
 /-- We introduce a type alias for `HahnSeries` in order to work with scalar multiplication by
 series. If we wrote a `SMul (HahnSeries Γ R) (HahnSeries Γ V)` instance, then when
 `V = HahnSeries Γ R`, we would have two different actions of `HahnSeries Γ R` on `HahnSeries Γ V`.
-See `Mathlib.Data.Polynomial.Module` for more discussion on this problem. -/
+See `Mathlib.Algebra.Polynomial.Module` for more discussion on this problem. -/
 @[nolint unusedArguments]
 def HahnModule (Γ R V : Type*) [PartialOrder Γ] [Zero V] [SMul R V] :=
   HahnSeries Γ V

Polynomial and MvPolynomial are algebraic objects, hence should be under Algebra (or at least not under Data)

@@ -135,7 +135,7 @@ def of_iterate {Γ' : Type*} [PartialOrder Γ'] (x : HahnSeries Γ (HahnSeries 
       rw [hn] at hf
       exact hf rfl
     sorry
--- See Mathlib.Data.MvPolynomial.Monad for join and bind operations
+-- See Mathlib.Algebra.MvPolynomial.Monad for join and bind operations
 need a monotone pair. have:
 nonrec theorem IsPWO.exists_monotone_subseq (h : s.IsPWO) (f : ℕ → α) (hf : ∀ n, f n ∈ s) :
     ∃ g : ℕ ↪o ℕ, Monotone (f ∘ g) :=

@@ -206,7 +206,7 @@ instance [NonUnitalNonAssocSemiring R] : Distrib (HahnSeries Γ R) :=
         mul_coeff_right' hwf (Set.subset_union_left _ _)]
       · simp only [add_coeff, mul_add, sum_add_distrib]
       · intro b
-        simp only [add_coeff, Ne.def, Set.mem_union, Set.mem_setOf_eq, mem_support]
+        simp only [add_coeff, Ne, Set.mem_union, Set.mem_setOf_eq, mem_support]
         contrapose!
         intro h
         rw [h.1, h.2, add_zero]
@@ -217,7 +217,7 @@ instance [NonUnitalNonAssocSemiring R] : Distrib (HahnSeries Γ R) :=
         mul_coeff_left' hwf (Set.subset_union_left _ _)]
       · simp only [add_coeff, add_mul, sum_add_distrib]
       · intro b
-        simp only [add_coeff, Ne.def, Set.mem_union, Set.mem_setOf_eq, mem_support]
+        simp only [add_coeff, Ne, Set.mem_union, Set.mem_setOf_eq, mem_support]
         contrapose!
         intro h
         rw [h.1, h.2, add_zero] }
@@ -226,7 +226,7 @@ theorem single_mul_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
     {b : Γ} : (single b r * x).coeff (a + b) = r * x.coeff a := by
   by_cases hr : r = 0
   · simp [hr, mul_coeff]
-  simp only [hr, smul_coeff, mul_coeff, support_single_of_ne, Ne.def, not_false_iff, smul_eq_mul]
+  simp only [hr, smul_coeff, mul_coeff, support_single_of_ne, Ne, not_false_iff, smul_eq_mul]
   by_cases hx : x.coeff a = 0
   · simp only [hx, mul_zero]
     rw [sum_congr _ fun _ _ => rfl, sum_empty]
@@ -255,7 +255,7 @@ theorem mul_single_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
     {b : Γ} : (x * single b r).coeff (a + b) = x.coeff a * r := by
   by_cases hr : r = 0
   · simp [hr, mul_coeff]
-  simp only [hr, smul_coeff, mul_coeff, support_single_of_ne, Ne.def, not_false_iff, smul_eq_mul]
+  simp only [hr, smul_coeff, mul_coeff, support_single_of_ne, Ne, not_false_iff, smul_eq_mul]
   by_cases hx : x.coeff a = 0
   · simp only [hx, zero_mul]
     rw [sum_congr _ fun _ _ => rfl, sum_empty]
@@ -302,7 +302,7 @@ theorem support_mul_subset_add_support [NonUnitalNonAssocSemiring R] {x y : Hahn
   · exact y.isPWO_support
   intro x hx
   contrapose! hx
-  simp only [not_nonempty_iff_eq_empty, Ne.def, Set.mem_setOf_eq] at hx
+  simp only [not_nonempty_iff_eq_empty, Ne, Set.mem_setOf_eq] at hx
   simp [hx, mul_coeff]
 #align hahn_series.support_mul_subset_add_support HahnSeries.support_mul_subset_add_support
 
@@ -588,7 +588,7 @@ theorem algebraMap_apply {r : R} : algebraMap R (HahnSeries Γ A) r = C (algebra
 
 instance [Nontrivial Γ] [Nontrivial R] : Nontrivial (Subalgebra R (HahnSeries Γ R)) :=
   ⟨⟨⊥, ⊤, by
-      rw [Ne.def, SetLike.ext_iff, not_forall]
+      rw [Ne, SetLike.ext_iff, not_forall]
       obtain ⟨a, ha⟩ := exists_ne (0 : Γ)
       refine' ⟨single a 1, _⟩
       simp only [Algebra.mem_bot, not_exists, Set.mem_range, iff_true_iff, Algebra.mem_top]

@@ -112,7 +112,7 @@ theorem support_zero : support (0 : HahnSeries Γ R) = ∅ :=
 
 @[simp]
 nonrec theorem support_nonempty_iff {x : HahnSeries Γ R} : x.support.Nonempty ↔ x ≠ 0 := by
-  rw [support, support_nonempty_iff, Ne.def, coeff_fun_eq_zero_iff]
+  rw [support, support_nonempty_iff, Ne, coeff_fun_eq_zero_iff]
 #align hahn_series.support_nonempty_iff HahnSeries.support_nonempty_iff
 
 @[simp]

We change the following field in the definition of an additive commutative monoid:

 nsmul_succ : ∀ (n : ℕ) (x : G),
-  AddMonoid.nsmul (n + 1) x = x + AddMonoid.nsmul n x
+  AddMonoid.nsmul (n + 1) x = AddMonoid.nsmul n x + x

where the latter is more natural

We adjust the definitions of ^ in monoids, groups, etc. Originally there was a warning comment about why this natural order was preferred

use x * npowRec n x and not npowRec n x * x in the definition to make sure that definitional unfolding of npowRec is blocked, to avoid deep recursion issues.

but it seems to no longer apply.

Remarks on the PR :

• pow_succ and pow_succ' have switched their meanings.
• Most of the time, the proofs were adjusted by priming/unpriming one lemma, or exchanging left and right; a few proofs were more complicated to adjust.
• In particular, [Mathlib/NumberTheory/RamificationInertia.lean] used Ideal.IsPrime.mul_mem_pow which is defined in [Mathlib/RingTheory/DedekindDomain/Ideal.lean]. Changing the order of operation forced me to add the symmetric lemma Ideal.IsPrime.mem_pow_mul.
• the docstring for Cauchy condensation test in [Mathlib/Analysis/PSeries.lean] was mathematically incorrect, I added the mention that the function is antitone.

@@ -103,7 +103,7 @@ theorem isPWO_iUnion_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring
     rw [hn, SetLike.mem_coe]
     exact AddSubmonoid.zero_mem _
   · obtain ⟨i, hi, j, hj, rfl⟩ := support_mul_subset_add_support hn
-    exact SetLike.mem_coe.2 (AddSubmonoid.add_mem _ (AddSubmonoid.subset_closure hi) (ih hj))
+    exact SetLike.mem_coe.2 (AddSubmonoid.add_mem _ (ih hi) (AddSubmonoid.subset_closure hj))
 #align hahn_series.is_pwo_Union_support_powers HahnSeries.isPWO_iUnion_support_powers
 
 section
@@ -490,10 +490,10 @@ def powers (x : HahnSeries Γ R) (hx : 0 < addVal Γ R x) : SummableFamily Γ R
     · rintro (_ | n) hn
       · exact Set.mem_union_right _ (Set.mem_singleton 0)
       · obtain ⟨i, hi, j, hj, rfl⟩ := support_mul_subset_add_support hn
-        refine' Set.mem_union_left _ ⟨n, Set.mem_iUnion.2 ⟨⟨i, j⟩, Set.mem_iUnion.2 ⟨_, hj⟩⟩, rfl⟩
+        refine' Set.mem_union_left _ ⟨n, Set.mem_iUnion.2 ⟨⟨j, i⟩, Set.mem_iUnion.2 ⟨_, hi⟩⟩, rfl⟩
         simp only [and_true_iff, Set.mem_iUnion, mem_addAntidiagonal, mem_coe, eq_self_iff_true,
           Ne.def, mem_support, Set.mem_setOf_eq]
-        exact ⟨hi, n, hj⟩
+        exact ⟨hj, ⟨n, hi⟩, add_comm j i⟩
 #align hahn_series.summable_family.powers HahnSeries.SummableFamily.powers
 
 variable {x : HahnSeries Γ R} (hx : 0 < addVal Γ R x)
@@ -513,7 +513,7 @@ theorem embDomain_succ_smul_powers :
     rw [Set.mem_range, not_exists]
     exact Nat.succ_ne_zero
   · refine' Eq.trans (embDomain_image _ ⟨Nat.succ, Nat.succ_injective⟩) _
-    simp only [pow_succ, coe_powers, coe_sub, smul_apply, coe_ofFinsupp, Pi.sub_apply]
+    simp only [pow_succ', coe_powers, coe_sub, smul_apply, coe_ofFinsupp, Pi.sub_apply]
     rw [Finsupp.single_eq_of_ne n.succ_ne_zero.symm, sub_zero]
 #align hahn_series.summable_family.emb_domain_succ_smul_powers HahnSeries.SummableFamily.embDomain_succ_smul_powers
 

We change the following field in the definition of an additive commutative monoid:

 nsmul_succ : ∀ (n : ℕ) (x : G),
-  AddMonoid.nsmul (n + 1) x = x + AddMonoid.nsmul n x
+  AddMonoid.nsmul (n + 1) x = AddMonoid.nsmul n x + x

where the latter is more natural

We adjust the definitions of ^ in monoids, groups, etc. Originally there was a warning comment about why this natural order was preferred

use x * npowRec n x and not npowRec n x * x in the definition to make sure that definitional unfolding of npowRec is blocked, to avoid deep recursion issues.

but it seems to no longer apply.

Remarks on the PR :

• pow_succ and pow_succ' have switched their meanings.
• Most of the time, the proofs were adjusted by priming/unpriming one lemma, or exchanging left and right; a few proofs were more complicated to adjust.
• In particular, [Mathlib/NumberTheory/RamificationInertia.lean] used Ideal.IsPrime.mul_mem_pow which is defined in [Mathlib/RingTheory/DedekindDomain/Ideal.lean]. Changing the order of operation forced me to add the symmetric lemma Ideal.IsPrime.mem_pow_mul.
• the docstring for Cauchy condensation test in [Mathlib/Analysis/PSeries.lean] was mathematically incorrect, I added the mention that the function is antitone.

@@ -420,7 +420,7 @@ theorem order_pow {Γ} [LinearOrderedCancelAddCommMonoid Γ] [Semiring R] [NoZer
   · simp
   rcases eq_or_ne x 0 with (rfl | hx)
   · simp
-  rw [pow_succ', order_mul (pow_ne_zero _ hx) hx, succ_nsmul', IH]
+  rw [pow_succ, order_mul (pow_ne_zero _ hx) hx, succ_nsmul, IH]
 #align hahn_series.order_pow HahnSeries.order_pow
 
 section NonUnitalNonAssocSemiring

and Data.Finset.LocallyFinite not depend on Finset.sum too

@@ -3,6 +3,7 @@ Copyright (c) 2021 Aaron Anderson. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Aaron Anderson
 -/
+import Mathlib.Algebra.Function.Support
 import Mathlib.Order.WellFoundedSet
 
 #align_import ring_theory.hahn_series from "leanprover-community/mathlib"@"a484a7d0eade4e1268f4fb402859b6686037f965"
@@ -30,9 +31,7 @@ in the file `RingTheory/LaurentSeries`.
 set_option linter.uppercaseLean3 false
 
 open Finset Function
-
 open scoped Classical
-open BigOperators
 
 noncomputable section
 

and Data.Finset.LocallyFinite not depend on Finset.sum too

@@ -27,7 +27,6 @@ set_option linter.uppercaseLean3 false
 open Finset Function
 
 open scoped Classical
-open BigOperators
 
 noncomputable section
 

These will be caught by the linter in a future lean version.

@@ -431,8 +431,7 @@ def embDomain (s : SummableFamily Γ R α) (f : α ↪ β) : SummableFamily Γ R
         by_cases hb : b ∈ Set.range f
         · simp only [Ne.def, Set.mem_setOf_eq, dif_pos hb] at h
           exact ⟨Classical.choose hb, h, Classical.choose_spec hb⟩
-        · contrapose! h
-          simp only [Ne.def, Set.mem_setOf_eq, dif_neg hb, Classical.not_not, zero_coeff])
+        · simp only [Ne.def, Set.mem_setOf_eq, dif_neg hb, zero_coeff, not_true_eq_false] at h)
 #align hahn_series.summable_family.emb_domain HahnSeries.SummableFamily.embDomain
 
 variable (s : SummableFamily Γ R α) (f : α ↪ β) {a : α} {b : β}

These will be caught by the linter in a future lean version.

@@ -423,9 +423,7 @@ def embDomain (s : SummableFamily Γ R α) (f : α ↪ β) : SummableFamily Γ R
     · dsimp only at h
       rw [dif_pos hb] at h
       exact Set.mem_iUnion.2 ⟨Classical.choose hb, h⟩
-    · contrapose! h
-      rw [dif_neg hb]
-      simp
+    · simp [-Set.mem_range, dif_neg hb] at h
   finite_co_support' g :=
     ((s.finite_co_support g).image f).subset
       (by

@@ -154,13 +154,13 @@ theorem ofPowerSeries_X_pow {R} [CommSemiring R] (n : ℕ) :
 #align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_X_pow
 
 -- Lemmas about converting hahn_series over fintype to and from mv_power_series
-/-- The ring `HahnSeries (σ →₀ ℕ) R` is isomorphic to `MvPowerSeries σ R` for a `Fintype` `σ`.
+/-- The ring `HahnSeries (σ →₀ ℕ) R` is isomorphic to `MvPowerSeries σ R` for a `Finite` `σ`.
 We take the index set of the hahn series to be `Finsupp` rather than `pi`,
-even though we assume `Fintype σ` as this is more natural for alignment with `MvPowerSeries`.
+even though we assume `Finite σ` as this is more natural for alignment with `MvPowerSeries`.
 After importing `Algebra.Order.Pi` the ring `HahnSeries (σ → ℕ) R` could be constructed instead.
  -/
 @[simps]
-def toMvPowerSeries {σ : Type*} [Fintype σ] : HahnSeries (σ →₀ ℕ) R ≃+* MvPowerSeries σ R where
+def toMvPowerSeries {σ : Type*} [Finite σ] : HahnSeries (σ →₀ ℕ) R ≃+* MvPowerSeries σ R where
   toFun f := f.coeff
   invFun f := ⟨(f : (σ →₀ ℕ) → R), Finsupp.isPWO _⟩
   left_inv f := by
@@ -187,7 +187,7 @@ def toMvPowerSeries {σ : Type*} [Fintype σ] : HahnSeries (σ →₀ ℕ) R ≃
       rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
 #align hahn_series.to_mv_power_series HahnSeries.toMvPowerSeries
 
-variable {σ : Type*} [Fintype σ]
+variable {σ : Type*} [Finite σ]
 
 theorem coeff_toMvPowerSeries {f : HahnSeries (σ →₀ ℕ) R} {n : σ →₀ ℕ} :
     MvPowerSeries.coeff R n (toMvPowerSeries f) = f.coeff n :=

Given a locally finite linearly ordered set Γ and a function f on Γ whose support is bounded below, we produce a Hahn series whose coefficients are given by f. We introduce a theorem (borrowing from mathlib3 #18604) for translating the vanishing condition to the partially well-ordered support condition that is used in the definition of Hahn Series.

@@ -350,4 +350,47 @@ end Domain
 
 end Zero
 
+section LocallyFiniteLinearOrder
+
+variable [Zero R] [LinearOrder Γ] [LocallyFiniteOrder Γ]
+
+theorem suppBddBelow_supp_PWO (f : Γ → R) (hf : BddBelow (Function.support f)) :
+    (Function.support f).IsPWO := Set.isWF_iff_isPWO.mp hf.wellFoundedOn_lt
+
+theorem forallLTEqZero_supp_BddBelow (f : Γ → R) (n : Γ) (hn : ∀(m : Γ), m < n → f m = 0) :
+    BddBelow (Function.support f) := by
+  unfold BddBelow Set.Nonempty lowerBounds
+  use n
+  intro m hm
+  rw [Function.mem_support, ne_eq] at hm
+  exact not_lt.mp (mt (hn m) hm)
+
+/-- Construct a Hahn series from any function whose support is bounded below. -/
+@[simps]
+def ofSuppBddBelow (f : Γ → R) (hf : BddBelow (Function.support f)) : HahnSeries Γ R where
+  coeff := f
+  isPWO_support' := suppBddBelow_supp_PWO f hf
+
+theorem BddBelow_zero [Nonempty Γ] : BddBelow (Function.support (0 : Γ → R)) := by
+  simp only [support_zero', bddBelow_empty]
+
+@[simp]
+theorem zero_ofSuppBddBelow [Nonempty Γ] : ofSuppBddBelow 0 BddBelow_zero = (0 : HahnSeries Γ R) :=
+  rfl
+
+theorem order_ofForallLtEqZero [Zero Γ] (f : Γ → R) (hf : f ≠ 0) (n : Γ)
+    (hn : ∀(m : Γ), m < n → f m = 0) :
+    n ≤ order (ofSuppBddBelow f (forallLTEqZero_supp_BddBelow f n hn)) := by
+  dsimp only [order]
+  by_cases h : ofSuppBddBelow f (forallLTEqZero_supp_BddBelow f n hn) = 0
+  cases h
+  exact (hf rfl).elim
+  simp_all only [dite_false]
+  rw [Set.IsWF.le_min_iff]
+  intro m hm
+  rw [HahnSeries.support, Function.mem_support, ne_eq] at hm
+  exact not_lt.mp (mt (hn m) hm)
+
+end LocallyFiniteLinearOrder
+
 end HahnSeries

Follows on from #6262. Again, this does not attempt to fix any diamonds; it only identifies where they may be.

@@ -591,7 +591,8 @@ instance [Field R] : Field (HahnSeries Γ R) :=
         SummableFamily.one_sub_self_mul_hsum_powers
           (unit_aux x (inv_mul_cancel (coeff_order_ne_zero x0)))
       rw [sub_sub_cancel] at h
-      rw [← mul_assoc, mul_comm x, h] }
+      rw [← mul_assoc, mul_comm x, h]
+    qsmul := qsmulRec _ }
 
 end Inversion
 

This PR removes the default values for nsmul and zsmul, forcing the user to populate them manually. The previous behavior can be obtained by writing nsmul := nsmulRec and zsmul := zsmulRec, which is now in the docstring for these fields.

The motivation here is to make it more obvious when module diamonds are being introduced, or at least where they might be hiding; you can now simply search for nsmulRec in the source code.

Arguably we should do the same thing for intCast, natCast, pow, and zpow too, but diamonds are less common in those fields, so I'll leave them to a subsequent PR.

Co-authored-by: Matthew Ballard <matt@mrb.email>

@@ -191,8 +191,8 @@ theorem zero_apply {a : α} : (0 : SummableFamily Γ R α) a = 0 :=
 #align hahn_series.summable_family.zero_apply HahnSeries.SummableFamily.zero_apply
 
 instance : AddCommMonoid (SummableFamily Γ R α) where
-  add := (· + ·)
   zero := 0
+  nsmul := nsmulRec
   zero_add s := by
     ext
     apply zero_add
@@ -244,16 +244,19 @@ section AddCommGroup
 
 variable [PartialOrder Γ] [AddCommGroup R] {α : Type*} {s t : SummableFamily Γ R α} {a : α}
 
+instance : Neg (SummableFamily Γ R α) :=
+  ⟨fun s =>
+    { toFun := fun a => -s a
+      isPWO_iUnion_support' := by
+        simp_rw [support_neg]
+        exact s.isPWO_iUnion_support
+      finite_co_support' := fun g => by
+        simp only [neg_coeff', Pi.neg_apply, Ne.def, neg_eq_zero]
+        exact s.finite_co_support g }⟩
+
 instance : AddCommGroup (SummableFamily Γ R α) :=
   { inferInstanceAs (AddCommMonoid (SummableFamily Γ R α)) with
-    neg := fun s =>
-      { toFun := fun a => -s a
-        isPWO_iUnion_support' := by
-          simp_rw [support_neg]
-          exact s.isPWO_iUnion_support'
-        finite_co_support' := fun g => by
-          simp only [neg_coeff', Pi.neg_apply, Ne.def, neg_eq_zero]
-          exact s.finite_co_support g }
+    zsmul := zsmulRec
     add_left_neg := fun a => by
       ext
       apply add_left_neg }

This PR removes the default values for nsmul and zsmul, forcing the user to populate them manually. The previous behavior can be obtained by writing nsmul := nsmulRec and zsmul := zsmulRec, which is now in the docstring for these fields.

The motivation here is to make it more obvious when module diamonds are being introduced, or at least where they might be hiding; you can now simply search for nsmulRec in the source code.

Arguably we should do the same thing for intCast, natCast, pow, and zpow too, but diamonds are less common in those fields, so I'll leave them to a subsequent PR.

Co-authored-by: Matthew Ballard <matt@mrb.email>

@@ -51,6 +51,7 @@ instance : Add (HahnSeries Γ R) where
 instance : AddMonoid (HahnSeries Γ R) where
   zero := 0
   add := (· + ·)
+  nsmul := nsmulRec
   add_assoc x y z := by
     ext
     apply add_assoc
@@ -131,13 +132,16 @@ section AddGroup
 
 variable [AddGroup R]
 
+instance : Neg (HahnSeries Γ R) where
+  neg x :=
+    { coeff := fun a => -x.coeff a
+      isPWO_support' := by
+        rw [Function.support_neg]
+        exact x.isPWO_support }
+
 instance : AddGroup (HahnSeries Γ R) :=
   { inferInstanceAs (AddMonoid (HahnSeries Γ R)) with
-    neg := fun x =>
-      { coeff := fun a => -x.coeff a
-        isPWO_support' := by
-          rw [Function.support_neg]
-          exact x.isPWO_support }
+    zsmul := zsmulRec
     add_left_neg := fun x => by
       ext
       apply add_left_neg }

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.

@@ -36,7 +36,8 @@ set_option linter.uppercaseLean3 false
 
 open Finset Function
 
-open BigOperators Classical Pointwise
+open scoped Classical
+open BigOperators Pointwise
 
 noncomputable section
 

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.

@@ -32,7 +32,8 @@ set_option linter.uppercaseLean3 false
 
 open Finset Function
 
-open BigOperators Classical Pointwise Polynomial
+open scoped Classical
+open BigOperators Pointwise Polynomial
 
 noncomputable section
 

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.

@@ -30,7 +30,8 @@ set_option linter.uppercaseLean3 false
 
 open Finset Function
 
-open BigOperators Classical Pointwise
+open scoped Classical
+open BigOperators Pointwise
 
 noncomputable section
 

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.

@@ -31,7 +31,8 @@ set_option linter.uppercaseLean3 false
 
 open Finset Function
 
-open BigOperators Classical
+open scoped Classical
+open BigOperators
 
 noncomputable section
 

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.

@@ -26,7 +26,8 @@ set_option linter.uppercaseLean3 false
 
 open Finset Function
 
-open BigOperators Classical
+open scoped Classical
+open BigOperators
 
 noncomputable section
 

Classify by adding issue number (#10618) to porting notes claiming anything semantically equivalent to

• "simp can prove this"
• "simp can simplify this`"
• "was @[simp], now can be proved by simp"
• "was @[simp], but simp can prove it"
• "removed simp attribute as the equality can already be obtained by simp"
• "simp can already prove this"
• "simp already proves this"
• "simp can prove these"

@@ -458,12 +458,12 @@ def C : R →+* HahnSeries Γ R where
   map_mul' x y := by rw [single_mul_single, zero_add]
 #align hahn_series.C HahnSeries.C
 
---@[simp] Porting note: simp can prove it
+--@[simp] Porting note (#10618): simp can prove it
 theorem C_zero : C (0 : R) = (0 : HahnSeries Γ R) :=
   C.map_zero
 #align hahn_series.C_zero HahnSeries.C_zero
 
---@[simp] Porting note: simp can prove it
+--@[simp] Porting note (#10618): simp can prove it
 theorem C_one : C (1 : R) = (1 : HahnSeries Γ R) :=
   C.map_one
 #align hahn_series.C_one HahnSeries.C_one

Classify by adding issue number (#10618) to porting notes claiming anything semantically equivalent to

• "simp can prove this"
• "simp can simplify this`"
• "was @[simp], now can be proved by simp"
• "was @[simp], but simp can prove it"
• "removed simp attribute as the equality can already be obtained by simp"
• "simp can already prove this"
• "simp already proves this"
• "simp can prove these"

@@ -193,7 +193,7 @@ theorem eq_of_mem_support_single {b : Γ} (h : b ∈ support (single a r)) : b =
   support_single_subset h
 #align hahn_series.eq_of_mem_support_single HahnSeries.eq_of_mem_support_single
 
---@[simp] Porting note: simp can prove it
+--@[simp] Porting note (#10618): simp can prove it
 theorem single_eq_zero : single a (0 : R) = 0 :=
   (single a).map_zero
 #align hahn_series.single_eq_zero HahnSeries.single_eq_zero

I replaced a few "terminal" refine/refine's with exact.

The strategy was very simple-minded: essentially any refine whose following line had smaller indentation got replaced by exact and then I cleaned up the mess.

This PR certainly leaves some further terminal refines, but maybe the current change is beneficial.

@@ -244,7 +244,7 @@ theorem single_mul_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
     constructor
     · rintro ⟨rfl, _, h1⟩
       rw [add_comm] at h1
-      refine' ⟨rfl, add_right_cancel h1⟩
+      exact ⟨rfl, add_right_cancel h1⟩
     · rintro ⟨rfl, rfl⟩
       exact ⟨rfl, by simp [hx], add_comm _ _⟩
   · simp
@@ -271,7 +271,7 @@ theorem mul_single_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
       Set.mem_setOf_eq]
     constructor
     · rintro ⟨_, rfl, h1⟩
-      refine' ⟨add_right_cancel h1, rfl⟩
+      exact ⟨add_right_cancel h1, rfl⟩
     · rintro ⟨rfl, rfl⟩
       simp [hx]
   · simp
@@ -536,7 +536,7 @@ theorem embDomain_mul [NonUnitalNonAssocSemiring R] (f : Γ ↪o Γ')
     obtain ⟨_, hi, _, hj, rfl⟩ := support_mul_subset_add_support ((mem_support _ _).2 hg)
     obtain ⟨i, _, rfl⟩ := support_embDomain_subset hi
     obtain ⟨j, _, rfl⟩ := support_embDomain_subset hj
-    refine' ⟨i + j, hf i j⟩
+    exact ⟨i + j, hf i j⟩
 #align hahn_series.emb_domain_mul HahnSeries.embDomain_mul
 
 theorem embDomain_one [NonAssocSemiring R] (f : Γ ↪o Γ') (hf : f 0 = 0) :

The HahnSeries file is approaching 2000 lines, and I was hoping to add some more material on Hahn series in the near future. This PR splits the material roughly according to what structure we see in the coefficients: Basic assumes that the coefficient type R has zero, Addition assumes addition, Multiplication more or less assumes some multiplicative structure.

The HahnSeries file is approaching 2000 lines, and I was hoping to add some more material on Hahn series in the near future. This PR splits the material roughly according to what structure we see in the coefficients: Basic assumes that the coefficient type R has zero, Addition assumes addition, Multiplication more or less assumes some multiplicative structure.

The HahnSeries file is approaching 2000 lines, and I was hoping to add some more material on Hahn series in the near future. This PR splits the material roughly according to what structure we see in the coefficients: Basic assumes that the coefficient type R has zero, Addition assumes addition, Multiplication more or less assumes some multiplicative structure.

The HahnSeries file is approaching 2000 lines, and I was hoping to add some more material on Hahn series in the near future. This PR splits the material roughly according to what structure we see in the coefficients: Basic assumes that the coefficient type R has zero, Addition assumes addition, Multiplication more or less assumes some multiplicative structure.

The HahnSeries file is approaching 2000 lines, and I was hoping to add some more material on Hahn series in the near future. This PR splits the material roughly according to what structure we see in the coefficients: Basic assumes that the coefficient type R has zero, Addition assumes addition, Multiplication more or less assumes some multiplicative structure.

Given a SMul R V instance, we introduce HahnModule Γ R V as an alias for HahnSeries Γ V, and produce a SMul (HahnSeries Γ R) (HahnModule Γ R V) instance. We use the SMul instance to shorten the Mul instance. We will work our way up to Module (HahnSeries Γ R) (HahnModule Γ R V) in a later PR.

Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

@@ -588,10 +588,14 @@ end Domain
 
 end Module
 
+end HahnSeries
+
 section Multiplication
 
 variable [OrderedCancelAddCommMonoid Γ]
 
+namespace HahnSeries
+
 instance [Zero R] [One R] : One (HahnSeries Γ R) :=
   ⟨single 0 1⟩
 
@@ -618,15 +622,55 @@ theorem order_one [MulZeroOneClass R] : order (1 : HahnSeries Γ R) = 0 := by
   · exact order_single one_ne_zero
 #align hahn_series.order_one HahnSeries.order_one
 
-instance [NonUnitalNonAssocSemiring R] : Mul (HahnSeries Γ R) where
-  mul x y :=
-    { coeff := fun a =>
-        ∑ ij in addAntidiagonal x.isPWO_support y.isPWO_support a, x.coeff ij.fst * y.coeff ij.snd
-      isPWO_support' :=
+end HahnSeries
+
+/-- We introduce a type alias for `HahnSeries` in order to work with scalar multiplication by
+series. If we wrote a `SMul (HahnSeries Γ R) (HahnSeries Γ V)` instance, then when
+`V = HahnSeries Γ R`, we would have two different actions of `HahnSeries Γ R` on `HahnSeries Γ V`.
+See `Mathlib.Data.Polynomial.Module` for more discussion on this problem. -/
+@[nolint unusedArguments]
+def HahnModule (Γ R V : Type*) [PartialOrder Γ] [Zero V] [SMul R V] :=
+  HahnSeries Γ V
+
+namespace HahnModule
+
+/-- The casting function to the type synonym. -/
+def of {Γ : Type*} (R : Type*) {V : Type*} [PartialOrder Γ] [Zero V] [SMul R V] :
+    HahnSeries Γ V ≃ HahnModule Γ R V := Equiv.refl _
+
+/-- Recursion principle to reduce a result about the synonym to the original type. -/
+@[elab_as_elim]
+def rec {Γ R V : Type*} [PartialOrder Γ] [Zero V] [SMul R V] {motive : HahnModule Γ R V → Sort*}
+    (h : ∀ x : HahnSeries Γ V, motive (of R x)) : ∀ x, motive x :=
+  fun x => h <| (of R).symm x
+
+@[ext]
+theorem ext {Γ R V : Type*} [PartialOrder Γ] [Zero V] [SMul R V]
+    (x y : HahnModule Γ R V) (h : ((of R).symm x).coeff = ((of R).symm y).coeff) : x = y :=
+  (of R).symm.injective <| HahnSeries.coeff_inj.1 h
+
+variable {V : Type*} [AddCommMonoid V] [SMul R V]
+
+instance instAddCommMonoid : AddCommMonoid (HahnModule Γ R V) :=
+  inferInstanceAs <| AddCommMonoid (HahnSeries Γ V)
+
+@[simp] theorem of_zero : of R (0 : HahnSeries Γ V) = 0 := rfl
+@[simp] theorem of_add (x y : HahnSeries Γ V) : of R (x + y) = of R x + of R y := rfl
+
+@[simp] theorem of_symm_zero : (of R).symm (0 : HahnModule Γ R V) = 0 := rfl
+@[simp] theorem of_symm_add (x y : HahnModule Γ R V) :
+  (of R).symm (x + y) = (of R).symm x + (of R).symm y := rfl
+
+instance instSMul [Zero R] : SMul (HahnSeries Γ R) (HahnModule Γ R V) where
+  smul x y := {
+    coeff := fun a =>
+      ∑ ij in addAntidiagonal x.isPWO_support y.isPWO_support a,
+        x.coeff ij.fst • ((of R).symm y).coeff ij.snd
+    isPWO_support' :=
         haveI h :
           { a : Γ |
               (∑ ij : Γ × Γ in addAntidiagonal x.isPWO_support y.isPWO_support a,
-                  x.coeff ij.fst * y.coeff ij.snd) ≠
+                  x.coeff ij.fst • y.coeff ij.snd) ≠
                 0 } ⊆
             { a : Γ | (addAntidiagonal x.isPWO_support y.isPWO_support a).Nonempty } := by
           intro a ha
@@ -634,6 +678,55 @@ instance [NonUnitalNonAssocSemiring R] : Mul (HahnSeries Γ R) where
           simp [not_nonempty_iff_eq_empty.1 ha]
         isPWO_support_addAntidiagonal.mono h }
 
+theorem smul_coeff [Zero R] (x : HahnSeries Γ R) (y : HahnModule Γ R V) (a : Γ) :
+    ((of R).symm <| x • y).coeff a =
+      ∑ ij in addAntidiagonal x.isPWO_support y.isPWO_support a,
+        x.coeff ij.fst • ((of R).symm y).coeff ij.snd :=
+  rfl
+
+variable {W : Type*} [Zero R] [AddCommMonoid W]
+
+instance instSMulZeroClass [SMulZeroClass R W] :
+    SMulZeroClass (HahnSeries Γ R) (HahnModule Γ R W) where
+  smul_zero x := by
+    ext
+    simp [smul_coeff]
+
+theorem smul_coeff_right [SMulZeroClass R W] {x : HahnSeries Γ R}
+    {y : HahnModule Γ R W} {a : Γ} {s : Set Γ} (hs : s.IsPWO) (hys : ((of R).symm y).support ⊆ s) :
+    ((of R).symm <| x • y).coeff a =
+      ∑ ij in addAntidiagonal x.isPWO_support hs a,
+        x.coeff ij.fst • ((of R).symm y).coeff ij.snd := by
+  rw [smul_coeff]
+  apply sum_subset_zero_on_sdiff (addAntidiagonal_mono_right hys) _ fun _ _ => rfl
+  intro b hb
+  simp only [not_and, mem_sdiff, mem_addAntidiagonal, HahnSeries.mem_support, not_imp_not] at hb
+  rw [hb.2 hb.1.1 hb.1.2.2, smul_zero]
+
+theorem smul_coeff_left [SMulWithZero R W] {x : HahnSeries Γ R}
+    {y : HahnModule Γ R W} {a : Γ} {s : Set Γ}
+    (hs : s.IsPWO) (hxs : x.support ⊆ s) :
+    ((of R).symm <| x • y).coeff a =
+      ∑ ij in addAntidiagonal hs y.isPWO_support a,
+        x.coeff ij.fst • ((of R).symm y).coeff ij.snd := by
+  rw [smul_coeff]
+  apply sum_subset_zero_on_sdiff (addAntidiagonal_mono_left hxs) _ fun _ _ => rfl
+  intro b hb
+  simp only [not_and', mem_sdiff, mem_addAntidiagonal, HahnSeries.mem_support, not_ne_iff] at hb
+  rw [hb.2 ⟨hb.1.2.1, hb.1.2.2⟩, zero_smul]
+
+end HahnModule
+
+namespace HahnSeries
+
+instance [NonUnitalNonAssocSemiring R] : Mul (HahnSeries Γ R) where
+  mul x y := (HahnModule.of R).symm (x • HahnModule.of R y)
+
+
+theorem of_symm_smul_of_eq_mul [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} :
+    (HahnModule.of R).symm (x • HahnModule.of R y) = x * y := rfl
+
+
 /-@[simp] Porting note: removing simp. RHS is more complicated and it makes linter
 failures elsewhere-/
 theorem mul_coeff [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} :
@@ -645,23 +738,15 @@ theorem mul_coeff [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ}
 theorem mul_coeff_right' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} {s : Set Γ}
     (hs : s.IsPWO) (hys : y.support ⊆ s) :
     (x * y).coeff a =
-      ∑ ij in addAntidiagonal x.isPWO_support hs a, x.coeff ij.fst * y.coeff ij.snd := by
-  rw [mul_coeff]
-  apply sum_subset_zero_on_sdiff (addAntidiagonal_mono_right hys) _ fun _ _ => rfl
-  intro b hb
-  simp only [not_and, mem_sdiff, mem_addAntidiagonal, mem_support, not_imp_not] at hb
-  rw [hb.2 hb.1.1 hb.1.2.2, mul_zero]
+      ∑ ij in addAntidiagonal x.isPWO_support hs a, x.coeff ij.fst * y.coeff ij.snd :=
+  HahnModule.smul_coeff_right hs hys
 #align hahn_series.mul_coeff_right' HahnSeries.mul_coeff_right'
 
 theorem mul_coeff_left' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} {s : Set Γ}
     (hs : s.IsPWO) (hxs : x.support ⊆ s) :
     (x * y).coeff a =
-      ∑ ij in addAntidiagonal hs y.isPWO_support a, x.coeff ij.fst * y.coeff ij.snd := by
-  rw [mul_coeff]
-  apply sum_subset_zero_on_sdiff (addAntidiagonal_mono_left hxs) _ fun _ _ => rfl
-  intro b hb
-  simp only [not_and', mem_sdiff, mem_addAntidiagonal, mem_support, not_ne_iff] at hb
-  rw [hb.2 ⟨hb.1.2.1, hb.1.2.2⟩, zero_mul]
+      ∑ ij in addAntidiagonal hs y.isPWO_support a, x.coeff ij.fst * y.coeff ij.snd :=
+  HahnModule.smul_coeff_left hs hxs
 #align hahn_series.mul_coeff_left' HahnSeries.mul_coeff_left'
 
 instance [NonUnitalNonAssocSemiring R] : Distrib (HahnSeries Γ R) :=
@@ -1081,8 +1166,12 @@ end Domain
 
 end Algebra
 
+end HahnSeries
+
 end Multiplication
 
+namespace HahnSeries
+
 section Semiring
 
 variable [Semiring R]

Given a Hahn series x and a scalar r such that r • x ≠ 0, the order of r • x is not strictly less than the order of x. If the exponent poset is linearly ordered, the order of x is less than or equal to the order of r • x. (Note that the order of a Hahn series is not uniquely defined when the exponent poset is not linearly ordered.) This is a complement to the addition result HahnSeries.min_order_le_order_add.

@@ -512,6 +512,15 @@ instance : DistribMulAction R (HahnSeries Γ V) where
     ext
     simp [mul_smul]
 
+theorem order_smul_not_lt [Zero Γ] (r : R) (x : HahnSeries Γ V) (h : r • x ≠ 0) :
+    ¬ (r • x).order < x.order := by
+  have hx : x ≠ 0 := right_ne_zero_of_smul h
+  simp_all only [order, dite_false]
+  exact Set.IsWF.min_of_subset_not_lt_min (Function.support_smul_subset_right (fun _ => r) x.coeff)
+
+theorem le_order_smul {Γ} [Zero Γ] [LinearOrder Γ] (r : R) (x : HahnSeries Γ V) (h : r • x ≠ 0) :
+    x.order ≤ (r • x).order := le_of_not_lt (order_smul_not_lt r x h)
+
 variable {S : Type*} [Monoid S] [DistribMulAction S V]
 
 instance [SMul R S] [IsScalarTower R S V] : IsScalarTower R S (HahnSeries Γ V) :=

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Joachim Breitner <mail@joachim-breitner.de>

@@ -389,7 +389,7 @@ theorem min_order_le_order_add {Γ} [Zero Γ] [LinearOrder Γ] {x y : HahnSeries
 #align hahn_series.min_order_le_order_add HahnSeries.min_order_le_order_add
 
 /-- `single` as an additive monoid/group homomorphism -/
-@[simps]
+@[simps!]
 def single.addMonoidHom (a : Γ) : R →+ HahnSeries Γ R :=
   { single a with
     map_add' := fun x y => by

• rename Function.support_smul_subset_right to Function.support_const_smul_subset

From sphere-eversion; I'm just upstreaming it.

Co-authored-by: grunweg <grunweg@posteo.de>

@@ -490,7 +490,7 @@ variable [PartialOrder Γ] {V : Type*} [Monoid R] [AddMonoid V] [DistribMulActio
 instance : SMul R (HahnSeries Γ V) :=
   ⟨fun r x =>
     { coeff := r • x.coeff
-      isPWO_support' := x.isPWO_support.mono (Function.support_smul_subset_right r x.coeff) }⟩
+      isPWO_support' := x.isPWO_support.mono (Function.support_const_smul_subset r x.coeff) }⟩
 
 @[simp]
 theorem smul_coeff {r : R} {x : HahnSeries Γ V} {a : Γ} : (r • x).coeff a = r • x.coeff a :=

The theorem as stated assumes LinearOrderedCancelAddCommMonoid Γ but the results used in the proof only need Zero Γ LinearOrder Γ

@@ -379,7 +379,7 @@ theorem support_add_subset {x y : HahnSeries Γ R} : support (x + y) ⊆ support
   rw [ha.1, ha.2, add_zero]
 #align hahn_series.support_add_subset HahnSeries.support_add_subset
 
-theorem min_order_le_order_add {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x y : HahnSeries Γ R}
+theorem min_order_le_order_add {Γ} [Zero Γ] [LinearOrder Γ] {x y : HahnSeries Γ R}
     (hxy : x + y ≠ 0) : min x.order y.order ≤ (x + y).order := by
   by_cases hx : x = 0; · simp [hx]
   by_cases hy : y = 0; · simp [hy]

This follows up from #9785, which renamed FunLike to DFunLike, by introducing a new abbreviation FunLike F α β := DFunLike F α (fun _ => β), to make the non-dependent use of FunLike easier.

I searched for the pattern DFunLike.*fun and DFunLike.*λ in all files to replace expressions of the form DFunLike F α (fun _ => β) with FunLike F α β. I did this everywhere except for extends clauses for two reasons: it would conflict with #8386, and more importantly extends must directly refer to a structure with no unfolding of defs or abbrevs.

@@ -1367,7 +1367,7 @@ section AddCommMonoid
 
 variable [PartialOrder Γ] [AddCommMonoid R] {α : Type*}
 
-instance : DFunLike (SummableFamily Γ R α) α fun _ => HahnSeries Γ R where
+instance : FunLike (SummableFamily Γ R α) α (HahnSeries Γ R) where
   coe := toFun
   coe_injective' | ⟨_, _, _⟩, ⟨_, _, _⟩, rfl => rfl
 

This prepares for the introduction of a non-dependent synonym of FunLike, which helps a lot with keeping #8386 readable.

This is entirely search-and-replace in 680197f combined with manual fixes in 4145626, e900597 and b8428f8. The commands that generated this change:

sed -i 's/\bFunLike\b/DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoFunLike\b/toDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/import Mathlib.Data.DFunLike/import Mathlib.Data.FunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bHom_FunLike\b/Hom_DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean     
sed -i 's/\binstFunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bfunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoo many metavariables to apply `fun_like.has_coe_to_fun`/too many metavariables to apply `DFunLike.hasCoeToFun`/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean

Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

@@ -1367,7 +1367,7 @@ section AddCommMonoid
 
 variable [PartialOrder Γ] [AddCommMonoid R] {α : Type*}
 
-instance : FunLike (SummableFamily Γ R α) α fun _ => HahnSeries Γ R where
+instance : DFunLike (SummableFamily Γ R α) α fun _ => HahnSeries Γ R where
   coe := toFun
   coe_injective' | ⟨_, _, _⟩, ⟨_, _, _⟩, rfl => rfl
 
@@ -1381,12 +1381,12 @@ theorem finite_co_support (s : SummableFamily Γ R α) (g : Γ) :
 #align hahn_series.summable_family.finite_co_support HahnSeries.SummableFamily.finite_co_support
 
 theorem coe_injective : @Function.Injective (SummableFamily Γ R α) (α → HahnSeries Γ R) (⇑) :=
-  FunLike.coe_injective
+  DFunLike.coe_injective
 #align hahn_series.summable_family.coe_injective HahnSeries.SummableFamily.coe_injective
 
 @[ext]
 theorem ext {s t : SummableFamily Γ R α} (h : ∀ a : α, s a = t a) : s = t :=
-  FunLike.ext s t h
+  DFunLike.ext s t h
 #align hahn_series.summable_family.ext HahnSeries.SummableFamily.ext
 
 instance : Add (SummableFamily Γ R α) :=

Rename Set.IsPwo → Set.IsPWO and Set.IsWf → Set.IsWF.

@@ -7,7 +7,7 @@ import Mathlib.Order.WellFoundedSet
 import Mathlib.Algebra.BigOperators.Finprod
 import Mathlib.RingTheory.Valuation.Basic
 import Mathlib.RingTheory.PowerSeries.Basic
-import Mathlib.Data.Finsupp.Pwo
+import Mathlib.Data.Finsupp.PWO
 import Mathlib.Data.Finset.MulAntidiagonal
 import Mathlib.Algebra.Order.Group.WithTop
 
@@ -63,7 +63,7 @@ noncomputable section
 @[ext]
 structure HahnSeries (Γ : Type*) (R : Type*) [PartialOrder Γ] [Zero R] where
   coeff : Γ → R
-  isPwo_support' : (Function.support coeff).IsPwo
+  isPWO_support' : (Function.support coeff).IsPWO
 #align hahn_series HahnSeries
 
 variable {Γ : Type*} {R : Type*}
@@ -90,14 +90,14 @@ nonrec def support (x : HahnSeries Γ R) : Set Γ :=
 #align hahn_series.support HahnSeries.support
 
 @[simp]
-theorem isPwo_support (x : HahnSeries Γ R) : x.support.IsPwo :=
-  x.isPwo_support'
-#align hahn_series.is_pwo_support HahnSeries.isPwo_support
+theorem isPWO_support (x : HahnSeries Γ R) : x.support.IsPWO :=
+  x.isPWO_support'
+#align hahn_series.is_pwo_support HahnSeries.isPWO_support
 
 @[simp]
-theorem isWf_support (x : HahnSeries Γ R) : x.support.IsWf :=
-  x.isPwo_support.isWf
-#align hahn_series.is_wf_support HahnSeries.isWf_support
+theorem isWF_support (x : HahnSeries Γ R) : x.support.IsWF :=
+  x.isPWO_support.isWF
+#align hahn_series.is_wf_support HahnSeries.isWF_support
 
 @[simp]
 theorem mem_support (x : HahnSeries Γ R) (a : Γ) : a ∈ x.support ↔ x.coeff a ≠ 0 :=
@@ -106,7 +106,7 @@ theorem mem_support (x : HahnSeries Γ R) (a : Γ) : a ∈ x.support ↔ x.coeff
 
 instance : Zero (HahnSeries Γ R) :=
   ⟨{  coeff := 0
-      isPwo_support' := by simp }⟩
+      isPWO_support' := by simp }⟩
 
 instance : Inhabited (HahnSeries Γ R) :=
   ⟨0⟩
@@ -147,7 +147,7 @@ theorem support_eq_empty_iff {x : HahnSeries Γ R} : x.support = ∅ ↔ x = 0 :
 def single (a : Γ) : ZeroHom R (HahnSeries Γ R) where
   toFun r :=
     { coeff := Pi.single a r
-      isPwo_support' := (Set.isPwo_singleton a).mono Pi.support_single_subset }
+      isPWO_support' := (Set.isPWO_singleton a).mono Pi.support_single_subset }
   map_zero' := HahnSeries.ext _ _ (Pi.single_zero _)
 #align hahn_series.single HahnSeries.single
 
@@ -212,7 +212,7 @@ variable [Zero Γ]
 /-- The order of a nonzero Hahn series `x` is a minimal element of `Γ` where `x` has a
   nonzero coefficient, the order of 0 is 0. -/
 def order (x : HahnSeries Γ R) : Γ :=
-  if h : x = 0 then 0 else x.isWf_support.min (support_nonempty_iff.2 h)
+  if h : x = 0 then 0 else x.isWF_support.min (support_nonempty_iff.2 h)
 #align hahn_series.order HahnSeries.order
 
 @[simp]
@@ -221,26 +221,26 @@ theorem order_zero : order (0 : HahnSeries Γ R) = 0 :=
 #align hahn_series.order_zero HahnSeries.order_zero
 
 theorem order_of_ne {x : HahnSeries Γ R} (hx : x ≠ 0) :
-    order x = x.isWf_support.min (support_nonempty_iff.2 hx) :=
+    order x = x.isWF_support.min (support_nonempty_iff.2 hx) :=
   dif_neg hx
 #align hahn_series.order_of_ne HahnSeries.order_of_ne
 
 theorem coeff_order_ne_zero {x : HahnSeries Γ R} (hx : x ≠ 0) : x.coeff x.order ≠ 0 := by
   rw [order_of_ne hx]
-  exact x.isWf_support.min_mem (support_nonempty_iff.2 hx)
+  exact x.isWF_support.min_mem (support_nonempty_iff.2 hx)
 #align hahn_series.coeff_order_ne_zero HahnSeries.coeff_order_ne_zero
 
 theorem order_le_of_coeff_ne_zero {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x : HahnSeries Γ R}
     {g : Γ} (h : x.coeff g ≠ 0) : x.order ≤ g :=
   le_trans (le_of_eq (order_of_ne (ne_zero_of_coeff_ne_zero h)))
-    (Set.IsWf.min_le _ _ ((mem_support _ _).2 h))
+    (Set.IsWF.min_le _ _ ((mem_support _ _).2 h))
 #align hahn_series.order_le_of_coeff_ne_zero HahnSeries.order_le_of_coeff_ne_zero
 
 @[simp]
 theorem order_single (h : r ≠ 0) : (single a r).order = a :=
   (order_of_ne (single_ne_zero h)).trans
     (support_single_subset
-      ((single a r).isWf_support.min_mem (support_nonempty_iff.2 (single_ne_zero h))))
+      ((single a r).isWF_support.min_mem (support_nonempty_iff.2 (single_ne_zero h))))
 #align hahn_series.order_single HahnSeries.order_single
 
 theorem coeff_eq_zero_of_lt_order {x : HahnSeries Γ R} {i : Γ} (hi : i < x.order) :
@@ -250,7 +250,7 @@ theorem coeff_eq_zero_of_lt_order {x : HahnSeries Γ R} {i : Γ} (hi : i < x.ord
   contrapose! hi
   rw [← mem_support] at hi
   rw [order_of_ne hx]
-  exact Set.IsWf.not_lt_min _ _ hi
+  exact Set.IsWF.not_lt_min _ _ hi
 #align hahn_series.coeff_eq_zero_of_lt_order HahnSeries.coeff_eq_zero_of_lt_order
 
 end Order
@@ -262,8 +262,8 @@ variable {Γ' : Type*} [PartialOrder Γ']
 /-- Extends the domain of a `HahnSeries` by an `OrderEmbedding`. -/
 def embDomain (f : Γ ↪o Γ') : HahnSeries Γ R → HahnSeries Γ' R := fun x =>
   { coeff := fun b : Γ' => if h : b ∈ f '' x.support then x.coeff (Classical.choose h) else 0
-    isPwo_support' :=
-      (x.isPwo_support.image_of_monotone f.monotone).mono fun b hb => by
+    isPWO_support' :=
+      (x.isPWO_support.image_of_monotone f.monotone).mono fun b hb => by
         contrapose! hb
         rw [Function.mem_support, dif_neg hb, Classical.not_not] }
 #align hahn_series.emb_domain HahnSeries.embDomain
@@ -347,7 +347,7 @@ variable [AddMonoid R]
 instance : Add (HahnSeries Γ R) where
   add x y :=
     { coeff := x.coeff + y.coeff
-      isPwo_support' := (x.isPwo_support.union y.isPwo_support).mono (Function.support_add _ _) }
+      isPWO_support' := (x.isPWO_support.union y.isPWO_support).mono (Function.support_add _ _) }
 
 instance : AddMonoid (HahnSeries Γ R) where
   zero := 0
@@ -384,8 +384,8 @@ theorem min_order_le_order_add {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x y :
   by_cases hx : x = 0; · simp [hx]
   by_cases hy : y = 0; · simp [hy]
   rw [order_of_ne hx, order_of_ne hy, order_of_ne hxy]
-  refine' le_of_eq_of_le _ (Set.IsWf.min_le_min_of_subset (support_add_subset (x := x) (y := y)))
-  exact (Set.IsWf.min_union _ _ _ _).symm
+  refine' le_of_eq_of_le _ (Set.IsWF.min_le_min_of_subset (support_add_subset (x := x) (y := y)))
+  exact (Set.IsWF.min_union _ _ _ _).symm
 #align hahn_series.min_order_le_order_add HahnSeries.min_order_le_order_add
 
 /-- `single` as an additive monoid/group homomorphism -/
@@ -436,9 +436,9 @@ instance : AddGroup (HahnSeries Γ R) :=
   { inferInstanceAs (AddMonoid (HahnSeries Γ R)) with
     neg := fun x =>
       { coeff := fun a => -x.coeff a
-        isPwo_support' := by
+        isPWO_support' := by
           rw [Function.support_neg]
-          exact x.isPwo_support }
+          exact x.isPWO_support }
     add_left_neg := fun x => by
       ext
       apply add_left_neg }
@@ -490,7 +490,7 @@ variable [PartialOrder Γ] {V : Type*} [Monoid R] [AddMonoid V] [DistribMulActio
 instance : SMul R (HahnSeries Γ V) :=
   ⟨fun r x =>
     { coeff := r • x.coeff
-      isPwo_support' := x.isPwo_support.mono (Function.support_smul_subset_right r x.coeff) }⟩
+      isPWO_support' := x.isPWO_support.mono (Function.support_smul_subset_right r x.coeff) }⟩
 
 @[simp]
 theorem smul_coeff {r : R} {x : HahnSeries Γ V} {a : Γ} : (r • x).coeff a = r • x.coeff a :=
@@ -612,31 +612,31 @@ theorem order_one [MulZeroOneClass R] : order (1 : HahnSeries Γ R) = 0 := by
 instance [NonUnitalNonAssocSemiring R] : Mul (HahnSeries Γ R) where
   mul x y :=
     { coeff := fun a =>
-        ∑ ij in addAntidiagonal x.isPwo_support y.isPwo_support a, x.coeff ij.fst * y.coeff ij.snd
-      isPwo_support' :=
+        ∑ ij in addAntidiagonal x.isPWO_support y.isPWO_support a, x.coeff ij.fst * y.coeff ij.snd
+      isPWO_support' :=
         haveI h :
           { a : Γ |
-              (∑ ij : Γ × Γ in addAntidiagonal x.isPwo_support y.isPwo_support a,
+              (∑ ij : Γ × Γ in addAntidiagonal x.isPWO_support y.isPWO_support a,
                   x.coeff ij.fst * y.coeff ij.snd) ≠
                 0 } ⊆
-            { a : Γ | (addAntidiagonal x.isPwo_support y.isPwo_support a).Nonempty } := by
+            { a : Γ | (addAntidiagonal x.isPWO_support y.isPWO_support a).Nonempty } := by
           intro a ha
           contrapose! ha
           simp [not_nonempty_iff_eq_empty.1 ha]
-        isPwo_support_addAntidiagonal.mono h }
+        isPWO_support_addAntidiagonal.mono h }
 
 /-@[simp] Porting note: removing simp. RHS is more complicated and it makes linter
 failures elsewhere-/
 theorem mul_coeff [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} :
     (x * y).coeff a =
-      ∑ ij in addAntidiagonal x.isPwo_support y.isPwo_support a, x.coeff ij.fst * y.coeff ij.snd :=
+      ∑ ij in addAntidiagonal x.isPWO_support y.isPWO_support a, x.coeff ij.fst * y.coeff ij.snd :=
   rfl
 #align hahn_series.mul_coeff HahnSeries.mul_coeff
 
 theorem mul_coeff_right' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} {s : Set Γ}
-    (hs : s.IsPwo) (hys : y.support ⊆ s) :
+    (hs : s.IsPWO) (hys : y.support ⊆ s) :
     (x * y).coeff a =
-      ∑ ij in addAntidiagonal x.isPwo_support hs a, x.coeff ij.fst * y.coeff ij.snd := by
+      ∑ ij in addAntidiagonal x.isPWO_support hs a, x.coeff ij.fst * y.coeff ij.snd := by
   rw [mul_coeff]
   apply sum_subset_zero_on_sdiff (addAntidiagonal_mono_right hys) _ fun _ _ => rfl
   intro b hb
@@ -645,9 +645,9 @@ theorem mul_coeff_right' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {
 #align hahn_series.mul_coeff_right' HahnSeries.mul_coeff_right'
 
 theorem mul_coeff_left' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} {s : Set Γ}
-    (hs : s.IsPwo) (hxs : x.support ⊆ s) :
+    (hs : s.IsPWO) (hxs : x.support ⊆ s) :
     (x * y).coeff a =
-      ∑ ij in addAntidiagonal hs y.isPwo_support a, x.coeff ij.fst * y.coeff ij.snd := by
+      ∑ ij in addAntidiagonal hs y.isPWO_support a, x.coeff ij.fst * y.coeff ij.snd := by
   rw [mul_coeff]
   apply sum_subset_zero_on_sdiff (addAntidiagonal_mono_left hxs) _ fun _ _ => rfl
   intro b hb
@@ -660,7 +660,7 @@ instance [NonUnitalNonAssocSemiring R] : Distrib (HahnSeries Γ R) :=
     inferInstanceAs (Add (HahnSeries Γ R)) with
     left_distrib := fun x y z => by
       ext a
-      have hwf := y.isPwo_support.union z.isPwo_support
+      have hwf := y.isPWO_support.union z.isPWO_support
       rw [mul_coeff_right' hwf, add_coeff, mul_coeff_right' hwf (Set.subset_union_right _ _),
         mul_coeff_right' hwf (Set.subset_union_left _ _)]
       · simp only [add_coeff, mul_add, sum_add_distrib]
@@ -671,7 +671,7 @@ instance [NonUnitalNonAssocSemiring R] : Distrib (HahnSeries Γ R) :=
         rw [h.1, h.2, add_zero]
     right_distrib := fun x y z => by
       ext a
-      have hwf := x.isPwo_support.union y.isPwo_support
+      have hwf := x.isPWO_support.union y.isPWO_support
       rw [mul_coeff_left' hwf, add_coeff, mul_coeff_left' hwf (Set.subset_union_right _ _),
         mul_coeff_left' hwf (Set.subset_union_left _ _)]
       · simp only [add_coeff, add_mul, sum_add_distrib]
@@ -757,8 +757,8 @@ theorem single_zero_mul_eq_smul [Semiring R] {r : R} {x : HahnSeries Γ R} :
 theorem support_mul_subset_add_support [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} :
     support (x * y) ⊆ support x + support y := by
   apply Set.Subset.trans (fun x hx => _) support_addAntidiagonal_subset_add
-  · exact x.isPwo_support
-  · exact y.isPwo_support
+  · exact x.isPWO_support
+  · exact y.isPWO_support
   intro x hx
   contrapose! hx
   simp only [not_nonempty_iff_eq_empty, Ne.def, Set.mem_setOf_eq] at hx
@@ -777,8 +777,8 @@ theorem mul_coeff_order_add_order {Γ} [LinearOrderedCancelAddCommMonoid Γ]
 private theorem mul_assoc' [NonUnitalSemiring R] (x y z : HahnSeries Γ R) :
     x * y * z = x * (y * z) := by
   ext b
-  rw [mul_coeff_left' (x.isPwo_support.add y.isPwo_support) support_mul_subset_add_support,
-    mul_coeff_right' (y.isPwo_support.add z.isPwo_support) support_mul_subset_add_support]
+  rw [mul_coeff_left' (x.isPWO_support.add y.isPWO_support) support_mul_subset_add_support,
+    mul_coeff_right' (y.isPWO_support.add z.isPWO_support) support_mul_subset_add_support]
   simp only [mul_coeff, add_coeff, sum_mul, mul_sum, sum_sigma']
   apply Finset.sum_nbij' (fun ⟨⟨_i, j⟩, ⟨k, l⟩⟩ ↦ ⟨(k, l + j), (l, j)⟩)
     (fun ⟨⟨i, _j⟩, ⟨k, l⟩⟩ ↦ ⟨(i + k, l), (i, k)⟩) <;>
@@ -868,8 +868,8 @@ theorem order_mul {Γ} [LinearOrderedCancelAddCommMonoid Γ] [NonUnitalNonAssocS
   · apply order_le_of_coeff_ne_zero
     rw [mul_coeff_order_add_order x y]
     exact mul_ne_zero (coeff_order_ne_zero hx) (coeff_order_ne_zero hy)
-  · rw [order_of_ne hx, order_of_ne hy, order_of_ne (mul_ne_zero hx hy), ← Set.IsWf.min_add]
-    exact Set.IsWf.min_le_min_of_subset support_mul_subset_add_support
+  · rw [order_of_ne hx, order_of_ne hy, order_of_ne (mul_ne_zero hx hy), ← Set.IsWF.min_add]
+    exact Set.IsWF.min_le_min_of_subset support_mul_subset_add_support
 #align hahn_series.order_mul HahnSeries.order_mul
 
 @[simp]
@@ -972,7 +972,7 @@ theorem embDomain_mul [NonUnitalNonAssocSemiring R] (f : Γ ↪o Γ')
     simp only [mul_coeff, embDomain_coeff]
     trans
       ∑ ij in
-        (addAntidiagonal x.isPwo_support y.isPwo_support g).map
+        (addAntidiagonal x.isPWO_support y.isPWO_support g).map
           (Function.Embedding.prodMap f.toEmbedding f.toEmbedding),
         (embDomain f x).coeff ij.1 * (embDomain f y).coeff ij.2
     · simp
@@ -1082,7 +1082,7 @@ variable [Semiring R]
 @[simps]
 def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R where
   toFun f := PowerSeries.mk f.coeff
-  invFun f := ⟨fun n => PowerSeries.coeff R n f, (Nat.lt_wfRel.wf.isWf _).isPwo⟩
+  invFun f := ⟨fun n => PowerSeries.coeff R n f, (Nat.lt_wfRel.wf.isWF _).isPWO⟩
   left_inv f := by
     ext
     simp
@@ -1094,7 +1094,7 @@ def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R where
     simp
   map_mul' f g := by
     ext n
-    simp only [PowerSeries.coeff_mul, PowerSeries.coeff_mk, mul_coeff, isPwo_support]
+    simp only [PowerSeries.coeff_mul, PowerSeries.coeff_mk, mul_coeff, isPWO_support]
     classical
     refine (sum_filter_ne_zero _).symm.trans <| (sum_congr ?_ fun _ _ ↦ rfl).trans <|
       sum_filter_ne_zero _
@@ -1195,7 +1195,7 @@ After importing `Algebra.Order.Pi` the ring `HahnSeries (σ → ℕ) R` could be
 @[simps]
 def toMvPowerSeries {σ : Type*} [Fintype σ] : HahnSeries (σ →₀ ℕ) R ≃+* MvPowerSeries σ R where
   toFun f := f.coeff
-  invFun f := ⟨(f : (σ →₀ ℕ) → R), Finsupp.isPwo _⟩
+  invFun f := ⟨(f : (σ →₀ ℕ) → R), Finsupp.isPWO _⟩
   left_inv f := by
     ext
     simp
@@ -1298,7 +1298,7 @@ def addVal : AddValuation (HahnSeries Γ R) (WithTop Γ) :=
       · by_cases hy : y = 0 <;> · simp [hx, hy]
       · by_cases hy : y = 0
         · simp [hx, hy]
-        · simp only [hx, hy, support_nonempty_iff, if_neg, not_false_iff, isWf_support]
+        · simp only [hx, hy, support_nonempty_iff, if_neg, not_false_iff, isWF_support]
           by_cases hxy : x + y = 0
           · simp [hxy]
           rw [if_neg hxy, ← WithTop.coe_min, WithTop.coe_le_coe]
@@ -1333,9 +1333,9 @@ theorem addVal_le_of_coeff_ne_zero {x : HahnSeries Γ R} {g : Γ} (h : x.coeff g
 
 end Valuation
 
-theorem isPwo_iUnion_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R]
-    {x : HahnSeries Γ R} (hx : 0 < addVal Γ R x) : (⋃ n : ℕ, (x ^ n).support).IsPwo := by
-  apply (x.isWf_support.isPwo.addSubmonoid_closure _).mono _
+theorem isPWO_iUnion_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R]
+    {x : HahnSeries Γ R} (hx : 0 < addVal Γ R x) : (⋃ n : ℕ, (x ^ n).support).IsPWO := by
+  apply (x.isWF_support.isPWO.addSubmonoid_closure _).mono _
   · exact fun g hg => WithTop.coe_le_coe.1 (le_trans (le_of_lt hx) (addVal_le_of_coeff_ne_zero hg))
   refine' Set.iUnion_subset fun n => _
   induction' n with n ih <;> intro g hn
@@ -1344,7 +1344,7 @@ theorem isPwo_iUnion_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring
     exact AddSubmonoid.zero_mem _
   · obtain ⟨i, hi, j, hj, rfl⟩ := support_mul_subset_add_support hn
     exact SetLike.mem_coe.2 (AddSubmonoid.add_mem _ (AddSubmonoid.subset_closure hi) (ih hj))
-#align hahn_series.is_pwo_Union_support_powers HahnSeries.isPwo_iUnion_support_powers
+#align hahn_series.is_pwo_Union_support_powers HahnSeries.isPWO_iUnion_support_powers
 
 section
 
@@ -1355,7 +1355,7 @@ variable (Γ) (R) [PartialOrder Γ] [AddCommMonoid R]
   and that only finitely many series are nonzero at any given coefficient. -/
 structure SummableFamily (α : Type*) where
   toFun : α → HahnSeries Γ R
-  isPwo_iUnion_support' : Set.IsPwo (⋃ a : α, (toFun a).support)
+  isPWO_iUnion_support' : Set.IsPWO (⋃ a : α, (toFun a).support)
   finite_co_support' : ∀ g : Γ, { a | (toFun a).coeff g ≠ 0 }.Finite
 #align hahn_series.summable_family HahnSeries.SummableFamily
 
@@ -1371,9 +1371,9 @@ instance : FunLike (SummableFamily Γ R α) α fun _ => HahnSeries Γ R where
   coe := toFun
   coe_injective' | ⟨_, _, _⟩, ⟨_, _, _⟩, rfl => rfl
 
-theorem isPwo_iUnion_support (s : SummableFamily Γ R α) : Set.IsPwo (⋃ a : α, (s a).support) :=
-  s.isPwo_iUnion_support'
-#align hahn_series.summable_family.is_pwo_Union_support HahnSeries.SummableFamily.isPwo_iUnion_support
+theorem isPWO_iUnion_support (s : SummableFamily Γ R α) : Set.IsPWO (⋃ a : α, (s a).support) :=
+  s.isPWO_iUnion_support'
+#align hahn_series.summable_family.is_pwo_Union_support HahnSeries.SummableFamily.isPWO_iUnion_support
 
 theorem finite_co_support (s : SummableFamily Γ R α) (g : Γ) :
     (Function.support fun a => (s a).coeff g).Finite :=
@@ -1392,8 +1392,8 @@ theorem ext {s t : SummableFamily Γ R α} (h : ∀ a : α, s a = t a) : s = t :
 instance : Add (SummableFamily Γ R α) :=
   ⟨fun x y =>
     { toFun := x + y
-      isPwo_iUnion_support' :=
-        (x.isPwo_iUnion_support.union y.isPwo_iUnion_support).mono
+      isPWO_iUnion_support' :=
+        (x.isPWO_iUnion_support.union y.isPWO_iUnion_support).mono
           (by
             rw [← Set.iUnion_union_distrib]
             exact Set.iUnion_mono fun a => support_add_subset)
@@ -1449,8 +1449,8 @@ instance : AddCommMonoid (SummableFamily Γ R α) where
 /-- The infinite sum of a `SummableFamily` of Hahn series. -/
 def hsum (s : SummableFamily Γ R α) : HahnSeries Γ R where
   coeff g := ∑ᶠ i, (s i).coeff g
-  isPwo_support' :=
-    s.isPwo_iUnion_support.mono fun g => by
+  isPWO_support' :=
+    s.isPWO_iUnion_support.mono fun g => by
       contrapose
       rw [Set.mem_iUnion, not_exists, Function.mem_support, Classical.not_not]
       simp_rw [mem_support, Classical.not_not]
@@ -1488,9 +1488,9 @@ instance : AddCommGroup (SummableFamily Γ R α) :=
   { inferInstanceAs (AddCommMonoid (SummableFamily Γ R α)) with
     neg := fun s =>
       { toFun := fun a => -s a
-        isPwo_iUnion_support' := by
+        isPWO_iUnion_support' := by
           simp_rw [support_neg]
-          exact s.isPwo_iUnion_support'
+          exact s.isPWO_iUnion_support'
         finite_co_support' := fun g => by
           simp only [neg_coeff', Pi.neg_apply, Ne.def, neg_eq_zero]
           exact s.finite_co_support g }
@@ -1525,22 +1525,22 @@ variable [OrderedCancelAddCommMonoid Γ] [Semiring R] {α : Type*}
 instance : SMul (HahnSeries Γ R) (SummableFamily Γ R α) where
   smul x s :=
     { toFun := fun a => x * s a
-      isPwo_iUnion_support' := by
-        apply (x.isPwo_support.add s.isPwo_iUnion_support).mono
+      isPWO_iUnion_support' := by
+        apply (x.isPWO_support.add s.isPWO_iUnion_support).mono
         refine' Set.Subset.trans (Set.iUnion_mono fun a => support_mul_subset_add_support) _
         intro g
         simp only [Set.mem_iUnion, exists_imp]
         exact fun a ha => (Set.add_subset_add (Set.Subset.refl _) (Set.subset_iUnion _ a)) ha
       finite_co_support' := fun g => by
         refine'
-          ((addAntidiagonal x.isPwo_support s.isPwo_iUnion_support g).finite_toSet.biUnion'
+          ((addAntidiagonal x.isPWO_support s.isPWO_iUnion_support g).finite_toSet.biUnion'
                 fun ij _ => _).subset
             fun a ha => _
         · exact fun ij _ => Function.support fun a => (s a).coeff ij.2
         · apply s.finite_co_support
         · obtain ⟨i, hi, j, hj, rfl⟩ := support_mul_subset_add_support ha
           simp only [exists_prop, Set.mem_iUnion, mem_addAntidiagonal, mul_coeff, mem_support,
-            isPwo_support, Prod.exists]
+            isPWO_support, Prod.exists]
           exact ⟨i, j, mem_coe.2 (mem_addAntidiagonal.2 ⟨hi, Set.mem_iUnion.2 ⟨a, hj⟩, rfl⟩), hj⟩ }
 
 @[simp]
@@ -1563,7 +1563,7 @@ theorem hsum_smul {x : HahnSeries Γ R} {s : SummableFamily Γ R α} : (x • s)
   simp only [mul_coeff, hsum_coeff, smul_apply]
   refine'
     (Eq.trans (finsum_congr fun a => _)
-          (finsum_sum_comm (addAntidiagonal x.isPwo_support s.isPwo_iUnion_support g)
+          (finsum_sum_comm (addAntidiagonal x.isPWO_support s.isPWO_iUnion_support g)
             (fun i ij => x.coeff (Prod.fst ij) * (s i).coeff ij.snd) _)).trans
       _
   · refine' sum_subset (addAntidiagonal_mono_right
@@ -1613,8 +1613,8 @@ variable [PartialOrder Γ] [AddCommMonoid R] {α : Type*}
 /-- A family with only finitely many nonzero elements is summable. -/
 def ofFinsupp (f : α →₀ HahnSeries Γ R) : SummableFamily Γ R α where
   toFun := f
-  isPwo_iUnion_support' := by
-    apply (f.support.isPwo_bUnion.2 fun a _ => (f a).isPwo_support).mono
+  isPWO_iUnion_support' := by
+    apply (f.support.isPWO_bUnion.2 fun a _ => (f a).isPWO_support).mono
     refine' Set.iUnion_subset_iff.2 fun a g hg => _
     have haf : a ∈ f.support := by
       rw [Finsupp.mem_support_iff, ← support_nonempty_iff]
@@ -1654,8 +1654,8 @@ variable [PartialOrder Γ] [AddCommMonoid R] {α β : Type*}
 /-- A summable family can be reindexed by an embedding without changing its sum. -/
 def embDomain (s : SummableFamily Γ R α) (f : α ↪ β) : SummableFamily Γ R β where
   toFun b := if h : b ∈ Set.range f then s (Classical.choose h) else 0
-  isPwo_iUnion_support' := by
-    refine' s.isPwo_iUnion_support.mono (Set.iUnion_subset fun b g h => _)
+  isPWO_iUnion_support' := by
+    refine' s.isPWO_iUnion_support.mono (Set.iUnion_subset fun b g h => _)
     by_cases hb : b ∈ Set.range f
     · dsimp only at h
       rw [dif_pos hb] at h
@@ -1708,15 +1708,15 @@ variable [LinearOrderedCancelAddCommMonoid Γ] [CommRing R] [IsDomain R]
 /-- The powers of an element of positive valuation form a summable family. -/
 def powers (x : HahnSeries Γ R) (hx : 0 < addVal Γ R x) : SummableFamily Γ R ℕ where
   toFun n := x ^ n
-  isPwo_iUnion_support' := isPwo_iUnion_support_powers hx
+  isPWO_iUnion_support' := isPWO_iUnion_support_powers hx
   finite_co_support' g := by
-    have hpwo := isPwo_iUnion_support_powers hx
+    have hpwo := isPWO_iUnion_support_powers hx
     by_cases hg : g ∈ ⋃ n : ℕ, { g | (x ^ n).coeff g ≠ 0 }
     swap; · exact Set.finite_empty.subset fun n hn => hg (Set.mem_iUnion.2 ⟨n, hn⟩)
-    apply hpwo.isWf.induction hg
+    apply hpwo.isWF.induction hg
     intro y ys hy
     refine'
-      ((((addAntidiagonal x.isPwo_support hpwo y).finite_toSet.biUnion fun ij hij =>
+      ((((addAntidiagonal x.isPWO_support hpwo y).finite_toSet.biUnion fun ij hij =>
                     hy ij.snd _ _).image
                 Nat.succ).union
             (Set.finite_singleton 0)).subset

See Zulip thread for the discussion.

@@ -817,7 +817,7 @@ instance [NonUnitalCommSemiring R] : NonUnitalCommSemiring (HahnSeries Γ R) whe
   mul_comm x y := by
     ext
     simp_rw [mul_coeff, mul_comm]
-    exact Finset.sum_equiv (Equiv.prodComm _ _) (fun _ ↦ swap_mem_addAntidiagonal.symm) $ by simp
+    exact Finset.sum_equiv (Equiv.prodComm _ _) (fun _ ↦ swap_mem_addAntidiagonal.symm) <| by simp
 
 instance [CommSemiring R] : CommSemiring (HahnSeries Γ R) :=
   { inferInstanceAs (NonUnitalCommSemiring (HahnSeries Γ R)),
@@ -1096,7 +1096,7 @@ def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R where
     ext n
     simp only [PowerSeries.coeff_mul, PowerSeries.coeff_mk, mul_coeff, isPwo_support]
     classical
-    refine (sum_filter_ne_zero _).symm.trans $ (sum_congr ?_ fun _ _ ↦ rfl).trans $
+    refine (sum_filter_ne_zero _).symm.trans <| (sum_congr ?_ fun _ _ ↦ rfl).trans <|
       sum_filter_ne_zero _
     ext m
     simp only [mem_antidiagonal, mem_addAntidiagonal, and_congr_left_iff, mem_filter,
@@ -1211,7 +1211,7 @@ def toMvPowerSeries {σ : Type*} [Fintype σ] : HahnSeries (σ →₀ ℕ) R ≃
     classical
       change (f * g).coeff n = _
       simp_rw [mul_coeff]
-      refine' (sum_filter_ne_zero _).symm.trans $ (sum_congr _ fun _ _ ↦ rfl).trans $
+      refine' (sum_filter_ne_zero _).symm.trans <| (sum_congr _ fun _ _ ↦ rfl).trans <|
         sum_filter_ne_zero _
       ext m
       simp only [and_congr_left_iff, mem_addAntidiagonal, mem_filter, mem_support,

• Redefine Set.image2 to use ∃ a ∈ s, ∃ b ∈ t, f a b = c instead of ∃ a b, a ∈ s ∧ b ∈ t ∧ f a b = c.
• Redefine Set.seq as Set.image2. The new definition is equal to the old one but rw [Set.seq] gives a different result.
• Redefine Filter.map₂ to use ∃ u ∈ f, ∃ v ∈ g, image2 m u v ⊆ s instead of ∃ u v, u ∈ f ∧ v ∈ g ∧ ...
• Update lemmas like Set.mem_image2, Finset.mem_image₂, Set.mem_mul, Finset.mem_div etc

The two reasons to make the change are:

• ∃ a ∈ s, ∃ b ∈ t, _ is a simp-normal form, and
• it looks a bit nicer.

@@ -993,7 +993,7 @@ theorem embDomain_mul [NonUnitalNonAssocSemiring R] (f : Γ ↪o Γ')
       exact ⟨i, j, h1, rfl⟩
   · rw [embDomain_notin_range hg, eq_comm]
     contrapose! hg
-    obtain ⟨_, _, hi, hj, rfl⟩ := support_mul_subset_add_support ((mem_support _ _).2 hg)
+    obtain ⟨_, hi, _, hj, rfl⟩ := support_mul_subset_add_support ((mem_support _ _).2 hg)
     obtain ⟨i, _, rfl⟩ := support_embDomain_subset hi
     obtain ⟨j, _, rfl⟩ := support_embDomain_subset hj
     refine' ⟨i + j, hf i j⟩
@@ -1342,7 +1342,7 @@ theorem isPwo_iUnion_support_powers [LinearOrderedCancelAddCommMonoid Γ] [Ring
   · simp only [Nat.zero_eq, pow_zero, support_one, Set.mem_singleton_iff] at hn
     rw [hn, SetLike.mem_coe]
     exact AddSubmonoid.zero_mem _
-  · obtain ⟨i, j, hi, hj, rfl⟩ := support_mul_subset_add_support hn
+  · obtain ⟨i, hi, j, hj, rfl⟩ := support_mul_subset_add_support hn
     exact SetLike.mem_coe.2 (AddSubmonoid.add_mem _ (AddSubmonoid.subset_closure hi) (ih hj))
 #align hahn_series.is_pwo_Union_support_powers HahnSeries.isPwo_iUnion_support_powers
 
@@ -1538,7 +1538,7 @@ instance : SMul (HahnSeries Γ R) (SummableFamily Γ R α) where
             fun a ha => _
         · exact fun ij _ => Function.support fun a => (s a).coeff ij.2
         · apply s.finite_co_support
-        · obtain ⟨i, j, hi, hj, rfl⟩ := support_mul_subset_add_support ha
+        · obtain ⟨i, hi, j, hj, rfl⟩ := support_mul_subset_add_support ha
           simp only [exists_prop, Set.mem_iUnion, mem_addAntidiagonal, mul_coeff, mem_support,
             isPwo_support, Prod.exists]
           exact ⟨i, j, mem_coe.2 (mem_addAntidiagonal.2 ⟨hi, Set.mem_iUnion.2 ⟨a, hj⟩, rfl⟩), hj⟩ }
@@ -1729,7 +1729,7 @@ def powers (x : HahnSeries Γ R) (hx : 0 < addVal Γ R x) : SummableFamily Γ R
           _
     · rintro (_ | n) hn
       · exact Set.mem_union_right _ (Set.mem_singleton 0)
-      · obtain ⟨i, j, hi, hj, rfl⟩ := support_mul_subset_add_support hn
+      · obtain ⟨i, hi, j, hj, rfl⟩ := support_mul_subset_add_support hn
         refine' Set.mem_union_left _ ⟨n, Set.mem_iUnion.2 ⟨⟨i, j⟩, Set.mem_iUnion.2 ⟨_, hj⟩⟩, rfl⟩
         simp only [and_true_iff, Set.mem_iUnion, mem_addAntidiagonal, mem_coe, eq_self_iff_true,
           Ne.def, mem_support, Set.mem_setOf_eq]

Lemmas around this were a mess, throth in terms of names, statement and location. This PR standardises everything to be in Algebra.BigOperators.Basic and changes the lemmas to take in InjOn and SurjOn assumptions where possible (and where impossible make sure the hypotheses are taken in the correct order) and moves the equality of functions hypothesis last.

Also add a few lemmas that help fix downstream uses by golfing.

From LeanAPAP and LeanCamCombi

@@ -780,27 +780,9 @@ private theorem mul_assoc' [NonUnitalSemiring R] (x y z : HahnSeries Γ R) :
   rw [mul_coeff_left' (x.isPwo_support.add y.isPwo_support) support_mul_subset_add_support,
     mul_coeff_right' (y.isPwo_support.add z.isPwo_support) support_mul_subset_add_support]
   simp only [mul_coeff, add_coeff, sum_mul, mul_sum, sum_sigma']
-  refine' sum_bij_ne_zero (fun a _ _ => ⟨⟨a.2.1, a.2.2 + a.1.2⟩, ⟨a.2.2, a.1.2⟩⟩) _ _ _ _
-  · rintro ⟨⟨i, j⟩, ⟨k, l⟩⟩ H1 H2
-    simp only [and_true_iff, Set.image2_add, eq_self_iff_true, mem_addAntidiagonal, Ne.def,
-      Set.image_prod, mem_sigma, Set.mem_setOf_eq] at H1 H2 ⊢
-    obtain ⟨⟨H3, nz, rfl⟩, nx, ny, rfl⟩ := H1
-    exact ⟨⟨nx, Set.add_mem_add ny nz, (add_assoc _ _ _).symm⟩, ny, nz⟩
-  · rintro ⟨⟨i1, j1⟩, k1, l1⟩ ⟨⟨i2, j2⟩, k2, l2⟩ H1 H2 H3 H4 H5
-    simp only [Set.image2_add, Prod.mk.inj_iff, mem_addAntidiagonal, Ne.def, Set.image_prod,
-      mem_sigma, Set.mem_setOf_eq, heq_iff_eq] at H1 H3 H5
-    obtain (⟨⟨rfl, _⟩, rfl, rfl⟩ : (k1 = k2 ∧ l1 + j1 = l2 + j2) ∧ l1 = l2 ∧ j1 = j2) :=
-      by simpa using H5
-    simp only [and_true_iff, Prod.mk.inj_iff, eq_self_iff_true, heq_iff_eq, ← H1.2.2.2, ← H3.2.2.2]
-  · rintro ⟨⟨i, j⟩, ⟨k, l⟩⟩ H1 H2
-    simp only [exists_prop, Set.image2_add, Prod.mk.inj_iff, mem_addAntidiagonal, Sigma.exists,
-      Ne.def, Set.image_prod, mem_sigma, Set.mem_setOf_eq, heq_iff_eq, Prod.exists] at H1 H2 ⊢
-    obtain ⟨⟨nx, H, rfl⟩, ny, nz, rfl⟩ := H1
-    exact
-      ⟨i + k, l, i, k, ⟨⟨Set.add_mem_add nx ny, nz, add_assoc _ _ _⟩ , nx, ny, rfl⟩,
-        fun h => H2 <| by rw [← h, mul_assoc], rfl⟩
-  · rintro ⟨⟨i, j⟩, ⟨k, l⟩⟩ _ _
-    simp [mul_assoc]
+  apply Finset.sum_nbij' (fun ⟨⟨_i, j⟩, ⟨k, l⟩⟩ ↦ ⟨(k, l + j), (l, j)⟩)
+    (fun ⟨⟨i, _j⟩, ⟨k, l⟩⟩ ↦ ⟨(i + k, l), (i, k)⟩) <;>
+    aesop (add safe Set.add_mem_add) (add simp [add_assoc, mul_assoc])
 
 instance [NonUnitalNonAssocSemiring R] : NonUnitalNonAssocSemiring (HahnSeries Γ R) :=
   { inferInstanceAs (AddCommMonoid (HahnSeries Γ R)),
@@ -830,15 +812,12 @@ instance [Semiring R] : Semiring (HahnSeries Γ R) :=
   { inferInstanceAs (NonAssocSemiring (HahnSeries Γ R)),
     inferInstanceAs (NonUnitalSemiring (HahnSeries Γ R)) with }
 
-instance [NonUnitalCommSemiring R] : NonUnitalCommSemiring (HahnSeries Γ R) :=
-  { inferInstanceAs (NonUnitalSemiring (HahnSeries Γ R)) with
-    mul_comm := fun x y => by
-      ext
-      simp_rw [mul_coeff, mul_comm]
-      refine'
-          sum_bij (fun a _ => a.swap) (fun a ha => _) (fun a _ => rfl)
-            (fun _ _ _ _ => Prod.swap_inj.1) fun a ha => ⟨a.swap, _, a.swap_swap.symm⟩ <;>
-        rwa [swap_mem_addAntidiagonal] }
+instance [NonUnitalCommSemiring R] : NonUnitalCommSemiring (HahnSeries Γ R) where
+  __ : NonUnitalSemiring (HahnSeries Γ R) := inferInstance
+  mul_comm x y := by
+    ext
+    simp_rw [mul_coeff, mul_comm]
+    exact Finset.sum_equiv (Equiv.prodComm _ _) (fun _ ↦ swap_mem_addAntidiagonal.symm) $ by simp
 
 instance [CommSemiring R] : CommSemiring (HahnSeries Γ R) :=
   { inferInstanceAs (NonUnitalCommSemiring (HahnSeries Γ R)),

This PR corrects what appears to be a minor oversight. We replace the scalar ring R with the module V in two spots. The proofs are unchanged.

@@ -541,7 +541,7 @@ instance : Module R (HahnSeries Γ V) :=
 
 /-- `single` as a linear map -/
 @[simps]
-def single.linearMap (a : Γ) : R →ₗ[R] HahnSeries Γ R :=
+def single.linearMap (a : Γ) : V →ₗ[R] HahnSeries Γ V :=
   { single.addMonoidHom a with
     map_smul' := fun r s => by
       ext b
@@ -550,7 +550,7 @@ def single.linearMap (a : Γ) : R →ₗ[R] HahnSeries Γ R :=
 
 /-- `coeff g` as a linear map -/
 @[simps]
-def coeff.linearMap (g : Γ) : HahnSeries Γ R →ₗ[R] R :=
+def coeff.linearMap (g : Γ) : HahnSeries Γ V →ₗ[R] V :=
   { coeff.addMonoidHom g with map_smul' := fun _ _ => rfl }
 #align hahn_series.coeff.linear_map HahnSeries.coeff.linearMap
 

and equality case

From PFR

Co-authored-by: Heather Macbeth <hrmacbeth@gmail.com>

@@ -1117,12 +1117,13 @@ def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R where
     ext n
     simp only [PowerSeries.coeff_mul, PowerSeries.coeff_mk, mul_coeff, isPwo_support]
     classical
-      refine' sum_filter_ne_zero.symm.trans ((sum_congr _ fun _ _ => rfl).trans sum_filter_ne_zero)
-      ext m
-      simp only [mem_antidiagonal, mem_addAntidiagonal, and_congr_left_iff, mem_filter,
-        mem_support]
-      rintro h
-      rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
+    refine (sum_filter_ne_zero _).symm.trans $ (sum_congr ?_ fun _ _ ↦ rfl).trans $
+      sum_filter_ne_zero _
+    ext m
+    simp only [mem_antidiagonal, mem_addAntidiagonal, and_congr_left_iff, mem_filter,
+      mem_support]
+    rintro h
+    rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
 #align hahn_series.to_power_series HahnSeries.toPowerSeries
 
 theorem coeff_toPowerSeries {f : HahnSeries ℕ R} {n : ℕ} :
@@ -1231,7 +1232,8 @@ def toMvPowerSeries {σ : Type*} [Fintype σ] : HahnSeries (σ →₀ ℕ) R ≃
     classical
       change (f * g).coeff n = _
       simp_rw [mul_coeff]
-      refine' sum_filter_ne_zero.symm.trans ((sum_congr _ fun _ _ => rfl).trans sum_filter_ne_zero)
+      refine' (sum_filter_ne_zero _).symm.trans $ (sum_congr _ fun _ _ ↦ rfl).trans $
+        sum_filter_ne_zero _
       ext m
       simp only [and_congr_left_iff, mem_addAntidiagonal, mem_filter, mem_support,
         Finset.mem_antidiagonal]

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

@@ -798,7 +798,7 @@ private theorem mul_assoc' [NonUnitalSemiring R] (x y z : HahnSeries Γ R) :
     obtain ⟨⟨nx, H, rfl⟩, ny, nz, rfl⟩ := H1
     exact
       ⟨i + k, l, i, k, ⟨⟨Set.add_mem_add nx ny, nz, add_assoc _ _ _⟩ , nx, ny, rfl⟩,
-        fun h => H2 <| by rw [←h, mul_assoc], rfl⟩
+        fun h => H2 <| by rw [← h, mul_assoc], rfl⟩
   · rintro ⟨⟨i, j⟩, ⟨k, l⟩⟩ _ _
     simp [mul_assoc]
 

This eliminates (fun a ↦ β) α in the type when applying a FunLike.

Co-authored-by: Matthew Ballard <matt@mrb.email> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

@@ -1202,7 +1202,7 @@ theorem ofPowerSeries_X_pow {R} [CommSemiring R] (n : ℕ) :
   induction' n with n ih
   · simp
     rfl
-  · rw [pow_succ, pow_succ, ih, ofPowerSeries_X, mul_comm, single_mul_single, one_mul,
+  · rw [pow_succ, ih, ofPowerSeries_X, mul_comm, single_mul_single, one_mul,
       Nat.cast_succ, add_comm]
 #align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_X_pow
 

@@ -194,11 +194,8 @@ theorem single_ne_zero (h : r ≠ 0) : single a r ≠ 0 := fun con =>
 #align hahn_series.single_ne_zero HahnSeries.single_ne_zero
 
 @[simp]
-theorem single_eq_zero_iff {a : Γ} {r : R} : single a r = 0 ↔ r = 0 := by
-  constructor
-  · contrapose!
-    exact single_ne_zero
-  · simp (config := { contextual := true })
+theorem single_eq_zero_iff {a : Γ} {r : R} : single a r = 0 ↔ r = 0 :=
+  map_eq_zero_iff _ <| single_injective a
 #align hahn_series.single_eq_zero_iff HahnSeries.single_eq_zero_iff
 
 instance [Nonempty Γ] [Nontrivial R] : Nontrivial (HahnSeries Γ R) :=
@@ -388,7 +385,7 @@ theorem min_order_le_order_add {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x y :
   by_cases hy : y = 0; · simp [hy]
   rw [order_of_ne hx, order_of_ne hy, order_of_ne hxy]
   refine' le_of_eq_of_le _ (Set.IsWf.min_le_min_of_subset (support_add_subset (x := x) (y := y)))
-  · exact (Set.IsWf.min_union _ _ _ _).symm
+  exact (Set.IsWf.min_union _ _ _ _).symm
 #align hahn_series.min_order_le_order_add HahnSeries.min_order_le_order_add
 
 /-- `single` as an additive monoid/group homomorphism -/
@@ -746,8 +743,8 @@ theorem mul_single_zero_coeff [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSer
 #align hahn_series.mul_single_zero_coeff HahnSeries.mul_single_zero_coeff
 
 theorem single_zero_mul_coeff [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeries Γ R} {a : Γ} :
-    ((single 0 r : HahnSeries Γ R) * x).coeff a = r * x.coeff a :=
-  by rw [← add_zero a, single_mul_coeff_add, add_zero]
+    ((single 0 r : HahnSeries Γ R) * x).coeff a = r * x.coeff a := by
+  rw [← add_zero a, single_mul_coeff_add, add_zero]
 #align hahn_series.single_zero_mul_coeff HahnSeries.single_zero_mul_coeff
 
 @[simp]
@@ -873,16 +870,12 @@ instance [CommRing R] : CommRing (HahnSeries Γ R) :=
 
 instance {Γ} [LinearOrderedCancelAddCommMonoid Γ] [NonUnitalNonAssocSemiring R] [NoZeroDivisors R] :
     NoZeroDivisors (HahnSeries Γ R) where
-    eq_zero_or_eq_zero_of_mul_eq_zero {x} {y} xy := by
-      by_cases hx : x = 0
-      · left
-        exact hx
-      right
+    eq_zero_or_eq_zero_of_mul_eq_zero {x y} xy := by
       contrapose! xy
       rw [Ne, HahnSeries.ext_iff, Function.funext_iff, not_forall]
       refine' ⟨x.order + y.order, _⟩
       rw [mul_coeff_order_add_order x y, zero_coeff, mul_eq_zero]
-      simp [coeff_order_ne_zero, hx, xy]
+      simp [coeff_order_ne_zero, xy]
 
 instance {Γ} [LinearOrderedCancelAddCommMonoid Γ] [Ring R] [IsDomain R] :
     IsDomain (HahnSeries Γ R) :=

These parallel the lemmas for Polynomial

@@ -1270,12 +1270,7 @@ def toPowerSeriesAlg : HahnSeries ℕ A ≃ₐ[R] PowerSeries A :=
   { toPowerSeries with
     commutes' := fun r => by
       ext n
-      simp only [algebraMap_apply, PowerSeries.algebraMap_apply, C_apply,
-        coeff_toPowerSeries]
-      cases' n with n
-      · simp [PowerSeries.coeff_zero_eq_constantCoeff, single_coeff_same]
-      · simp [n.succ_ne_zero, Ne.def, not_false_iff, single_coeff_of_ne]
-        rw [PowerSeries.coeff_C, if_neg n.succ_ne_zero] }
+      cases n <;> simp [algebraMap_apply, PowerSeries.algebraMap_apply] }
 #align hahn_series.to_power_series_alg HahnSeries.toPowerSeriesAlg
 
 variable (Γ) [StrictOrderedSemiring Γ]

We define a type class Finset.HasAntidiagonal A which contains a function antidiagonal : A → Finset (A × A) such that antidiagonal n is the Finset of all pairs adding to n, as witnessed by mem_antidiagonal.

When A is a canonically ordered add monoid with locally finite order this typeclass can be instantiated with Finset.antidiagonalOfLocallyFinite. This applies in particular when A is ℕ, more generally or σ →₀ ℕ, or even ι →₀ A under the additional assumption OrderedSub A that make it a canonically ordered add monoid. (In fact, we would just need an AddMonoid with a compatible order, finite Iic, such that if a + b = n, then a, b ≤ n, and any finiteness condition would be OK.)

For computational reasons it is better to manually provide instances for ℕ and σ →₀ ℕ, to avoid quadratic runtime performance. These instances are provided as Finset.Nat.instHasAntidiagonal and Finsupp.instHasAntidiagonal. This is why Finset.antidiagonalOfLocallyFinite is an abbrev and not an instance.

This definition does not exactly match with that of Multiset.antidiagonal defined in Mathlib.Data.Multiset.Antidiagonal, because of the multiplicities. Indeed, by counting multiplicities, Multiset α is equivalent to α →₀ ℕ, but Finset.antidiagonal and Multiset.antidiagonal will return different objects. For example, for s : Multiset ℕ := {0,0,0}, Multiset.antidiagonal s has 8 elements but Finset.antidiagonal s has only 4.

def s : Multiset ℕ := {0, 0, 0}
#eval (Finset.antidiagonal s).card -- 4
#eval Multiset.card (Multiset.antidiagonal s) -- 8

TODO

• Define HasMulAntidiagonal (for monoids). For PNat, we will recover the set of divisors of a strictly positive integer.

This closes #7917

Co-authored by: María Inés de Frutos-Fernández <mariaines.dff@gmail.com> and Eric Wieser <efw27@cam.ac.uk>

Co-authored-by: Antoine Chambert-Loir <antoine.chambert-loir@math.univ-paris-diderot.fr> Co-authored-by: Mario Carneiro <di.gama@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

@@ -1126,7 +1126,7 @@ def toPowerSeries : HahnSeries ℕ R ≃+* PowerSeries R where
     classical
       refine' sum_filter_ne_zero.symm.trans ((sum_congr _ fun _ _ => rfl).trans sum_filter_ne_zero)
       ext m
-      simp only [Nat.mem_antidiagonal, mem_addAntidiagonal, and_congr_left_iff, mem_filter,
+      simp only [mem_antidiagonal, mem_addAntidiagonal, and_congr_left_iff, mem_filter,
         mem_support]
       rintro h
       rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
@@ -1241,7 +1241,7 @@ def toMvPowerSeries {σ : Type*} [Fintype σ] : HahnSeries (σ →₀ ℕ) R ≃
       refine' sum_filter_ne_zero.symm.trans ((sum_congr _ fun _ _ => rfl).trans sum_filter_ne_zero)
       ext m
       simp only [and_congr_left_iff, mem_addAntidiagonal, mem_filter, mem_support,
-        Finsupp.mem_antidiagonal]
+        Finset.mem_antidiagonal]
       rintro h
       rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
 #align hahn_series.to_mv_power_series HahnSeries.toMvPowerSeries

This removes redundant field values of the form add := add for smaller terms and less unfolding during unification.

A list of all files containing a structure instance of the form { a1, ... with x1 := val, ... } where some xi is a field of some aj was generated by modifying the structure instance elaboration algorithm to print such overlaps to stdout in a custom toolchain.

Using that toolchain, I went through each file on the list and attempted to remove algebraic fields that overlapped and were redundant, eg add := add and not toFun (though some other ones did creep in). If things broke (which was the case in a couple of cases), I did not push further and reverted.

It is possible that pushing harder and trying to remove all redundant overlaps will yield further improvements.

@@ -808,9 +808,6 @@ private theorem mul_assoc' [NonUnitalSemiring R] (x y z : HahnSeries Γ R) :
 instance [NonUnitalNonAssocSemiring R] : NonUnitalNonAssocSemiring (HahnSeries Γ R) :=
   { inferInstanceAs (AddCommMonoid (HahnSeries Γ R)),
     inferInstanceAs (Distrib (HahnSeries Γ R)) with
-    zero := 0
-    add := (· + ·)
-    mul := (· * ·)
     zero_mul := fun _ => by
       ext
       simp [mul_coeff]
@@ -820,18 +817,11 @@ instance [NonUnitalNonAssocSemiring R] : NonUnitalNonAssocSemiring (HahnSeries 
 
 instance [NonUnitalSemiring R] : NonUnitalSemiring (HahnSeries Γ R) :=
   { inferInstanceAs (NonUnitalNonAssocSemiring (HahnSeries Γ R)) with
-    zero := 0
-    add := (· + ·)
-    mul := (· * ·)
     mul_assoc := mul_assoc' }
 
 instance [NonAssocSemiring R] : NonAssocSemiring (HahnSeries Γ R) :=
   { AddMonoidWithOne.unary,
     inferInstanceAs (NonUnitalNonAssocSemiring (HahnSeries Γ R)) with
-    zero := 0
-    one := 1
-    add := (· + ·)
-    mul := (· * ·)
     one_mul := fun x => by
       ext
       exact single_zero_mul_coeff.trans (one_mul _)
@@ -841,11 +831,7 @@ instance [NonAssocSemiring R] : NonAssocSemiring (HahnSeries Γ R) :=
 
 instance [Semiring R] : Semiring (HahnSeries Γ R) :=
   { inferInstanceAs (NonAssocSemiring (HahnSeries Γ R)),
-    inferInstanceAs (NonUnitalSemiring (HahnSeries Γ R)) with
-    zero := 0
-    one := 1
-    add := (· + ·)
-    mul := (· * ·) }
+    inferInstanceAs (NonUnitalSemiring (HahnSeries Γ R)) with }
 
 instance [NonUnitalCommSemiring R] : NonUnitalCommSemiring (HahnSeries Γ R) :=
   { inferInstanceAs (NonUnitalSemiring (HahnSeries Γ R)) with

@@ -347,8 +347,8 @@ section AddMonoid
 
 variable [AddMonoid R]
 
-instance : Add (HahnSeries Γ R)
-    where add x y :=
+instance : Add (HahnSeries Γ R) where
+  add x y :=
     { coeff := x.coeff + y.coeff
       isPwo_support' := (x.isPwo_support.union y.isPwo_support).mono (Function.support_add _ _) }
 
@@ -612,8 +612,8 @@ theorem order_one [MulZeroOneClass R] : order (1 : HahnSeries Γ R) = 0 := by
   · exact order_single one_ne_zero
 #align hahn_series.order_one HahnSeries.order_one
 
-instance [NonUnitalNonAssocSemiring R] : Mul (HahnSeries Γ R)
-    where mul x y :=
+instance [NonUnitalNonAssocSemiring R] : Mul (HahnSeries Γ R) where
+  mul x y :=
     { coeff := fun a =>
         ∑ ij in addAntidiagonal x.isPwo_support y.isPwo_support a, x.coeff ij.fst * y.coeff ij.snd
       isPwo_support' :=
@@ -1567,8 +1567,8 @@ section Semiring
 
 variable [OrderedCancelAddCommMonoid Γ] [Semiring R] {α : Type*}
 
-instance : SMul (HahnSeries Γ R) (SummableFamily Γ R α)
-    where smul x s :=
+instance : SMul (HahnSeries Γ R) (SummableFamily Γ R α) where
+  smul x s :=
     { toFun := fun a => x * s a
       isPwo_iUnion_support' := by
         apply (x.isPwo_support.add s.isPwo_iUnion_support).mono

Search&replace MulZeroClass.mul_zero -> mul_zero, MulZeroClass.zero_mul -> zero_mul.

These were introduced by Mathport, as the full name of mul_zero is actually MulZeroClass.mul_zero (it's exported with the short name).

@@ -644,7 +644,7 @@ theorem mul_coeff_right' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {
   apply sum_subset_zero_on_sdiff (addAntidiagonal_mono_right hys) _ fun _ _ => rfl
   intro b hb
   simp only [not_and, mem_sdiff, mem_addAntidiagonal, mem_support, not_imp_not] at hb
-  rw [hb.2 hb.1.1 hb.1.2.2, MulZeroClass.mul_zero]
+  rw [hb.2 hb.1.1 hb.1.2.2, mul_zero]
 #align hahn_series.mul_coeff_right' HahnSeries.mul_coeff_right'
 
 theorem mul_coeff_left' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a : Γ} {s : Set Γ}
@@ -655,7 +655,7 @@ theorem mul_coeff_left' [NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R} {a
   apply sum_subset_zero_on_sdiff (addAntidiagonal_mono_left hxs) _ fun _ _ => rfl
   intro b hb
   simp only [not_and', mem_sdiff, mem_addAntidiagonal, mem_support, not_ne_iff] at hb
-  rw [hb.2 ⟨hb.1.2.1, hb.1.2.2⟩, MulZeroClass.zero_mul]
+  rw [hb.2 ⟨hb.1.2.1, hb.1.2.2⟩, zero_mul]
 #align hahn_series.mul_coeff_left' HahnSeries.mul_coeff_left'
 
 instance [NonUnitalNonAssocSemiring R] : Distrib (HahnSeries Γ R) :=
@@ -690,7 +690,7 @@ theorem single_mul_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
   · simp [hr, mul_coeff]
   simp only [hr, smul_coeff, mul_coeff, support_single_of_ne, Ne.def, not_false_iff, smul_eq_mul]
   by_cases hx : x.coeff a = 0
-  · simp only [hx, MulZeroClass.mul_zero]
+  · simp only [hx, mul_zero]
     rw [sum_congr _ fun _ _ => rfl, sum_empty]
     ext ⟨a1, a2⟩
     simp only [not_mem_empty, not_and, Set.mem_singleton_iff, Classical.not_not,
@@ -719,7 +719,7 @@ theorem mul_single_coeff_add [NonUnitalNonAssocSemiring R] {r : R} {x : HahnSeri
   · simp [hr, mul_coeff]
   simp only [hr, smul_coeff, mul_coeff, support_single_of_ne, Ne.def, not_false_iff, smul_eq_mul]
   by_cases hx : x.coeff a = 0
-  · simp only [hx, MulZeroClass.zero_mul]
+  · simp only [hx, zero_mul]
     rw [sum_congr _ fun _ _ => rfl, sum_empty]
     ext ⟨a1, a2⟩
     simp only [not_mem_empty, not_and, Set.mem_singleton_iff, Classical.not_not,
@@ -1595,8 +1595,8 @@ theorem smul_apply {x : HahnSeries Γ R} {s : SummableFamily Γ R α} {a : α} :
 
 instance : Module (HahnSeries Γ R) (SummableFamily Γ R α) where
   smul := (· • ·)
-  smul_zero _ := ext fun _ => MulZeroClass.mul_zero _
-  zero_smul _ := ext fun _ => MulZeroClass.zero_mul _
+  smul_zero _ := ext fun _ => mul_zero _
+  zero_smul _ := ext fun _ => zero_mul _
   one_smul _ := ext fun _ => one_mul _
   add_smul _ _ _  := ext fun _ => add_mul _ _ _
   smul_add _ _ _ := ext fun _ => mul_add _ _ _
@@ -1615,12 +1615,12 @@ theorem hsum_smul {x : HahnSeries Γ R} {s : SummableFamily Γ R α} : (x • s)
       (Set.subset_iUnion (fun j => support (toFun s j)) a)) _
     rintro ⟨i, j⟩ hU ha
     rw [mem_addAntidiagonal] at *
-    rw [Classical.not_not.1 fun con => ha ⟨hU.1, con, hU.2.2⟩, MulZeroClass.mul_zero]
+    rw [Classical.not_not.1 fun con => ha ⟨hU.1, con, hU.2.2⟩, mul_zero]
   · rintro ⟨i, j⟩ _
     refine' (s.finite_co_support j).subset _
     simp_rw [Function.support_subset_iff', Function.mem_support, Classical.not_not]
     intro a ha
-    rw [ha, MulZeroClass.mul_zero]
+    rw [ha, mul_zero]
   · refine' (sum_congr rfl _).trans (sum_subset (addAntidiagonal_mono_right _) _).symm
     · rintro ⟨i, j⟩ _
       rw [mul_finsum]
@@ -1632,7 +1632,7 @@ theorem hsum_smul {x : HahnSeries Γ R} {s : SummableFamily Γ R α} : (x • s)
     · rintro ⟨i, j⟩ hU ha
       rw [mem_addAntidiagonal] at *
       rw [← hsum_coeff, Classical.not_not.1 fun con => ha ⟨hU.1, con, hU.2.2⟩,
-        MulZeroClass.mul_zero]
+        mul_zero]
 #align hahn_series.summable_family.hsum_smul HahnSeries.SummableFamily.hsum_smul
 
 /-- The summation of a `summable_family` as a `LinearMap`. -/

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

This has nice performance benefits.

@@ -61,12 +61,12 @@ noncomputable section
 /-- If `Γ` is linearly ordered and `R` has zero, then `HahnSeries Γ R` consists of
   formal series over `Γ` with coefficients in `R`, whose supports are well-founded. -/
 @[ext]
-structure HahnSeries (Γ : Type _) (R : Type _) [PartialOrder Γ] [Zero R] where
+structure HahnSeries (Γ : Type*) (R : Type*) [PartialOrder Γ] [Zero R] where
   coeff : Γ → R
   isPwo_support' : (Function.support coeff).IsPwo
 #align hahn_series HahnSeries
 
-variable {Γ : Type _} {R : Type _}
+variable {Γ : Type*} {R : Type*}
 
 namespace HahnSeries
 
@@ -260,7 +260,7 @@ end Order
 
 section Domain
 
-variable {Γ' : Type _} [PartialOrder Γ']
+variable {Γ' : Type*} [PartialOrder Γ']
 
 /-- Extends the domain of a `HahnSeries` by an `OrderEmbedding`. -/
 def embDomain (f : Γ ↪o Γ') : HahnSeries Γ R → HahnSeries Γ' R := fun x =>
@@ -410,7 +410,7 @@ def coeff.addMonoidHom (g : Γ) : HahnSeries Γ R →+ R where
 
 section Domain
 
-variable {Γ' : Type _} [PartialOrder Γ']
+variable {Γ' : Type*} [PartialOrder Γ']
 
 theorem embDomain_add (f : Γ ↪o Γ') (x y : HahnSeries Γ R) :
     embDomain f (x + y) = embDomain f x + embDomain f y := by
@@ -488,7 +488,7 @@ end Addition
 
 section DistribMulAction
 
-variable [PartialOrder Γ] {V : Type _} [Monoid R] [AddMonoid V] [DistribMulAction R V]
+variable [PartialOrder Γ] {V : Type*} [Monoid R] [AddMonoid V] [DistribMulAction R V]
 
 instance : SMul R (HahnSeries Γ V) :=
   ⟨fun r x =>
@@ -515,7 +515,7 @@ instance : DistribMulAction R (HahnSeries Γ V) where
     ext
     simp [mul_smul]
 
-variable {S : Type _} [Monoid S] [DistribMulAction S V]
+variable {S : Type*} [Monoid S] [DistribMulAction S V]
 
 instance [SMul R S] [IsScalarTower R S V] : IsScalarTower R S (HahnSeries Γ V) :=
   ⟨fun r s a => by
@@ -531,7 +531,7 @@ end DistribMulAction
 
 section Module
 
-variable [PartialOrder Γ] [Semiring R] {V : Type _} [AddCommMonoid V] [Module R V]
+variable [PartialOrder Γ] [Semiring R] {V : Type*} [AddCommMonoid V] [Module R V]
 
 instance : Module R (HahnSeries Γ V) :=
   { inferInstanceAs (DistribMulAction R (HahnSeries Γ V)) with
@@ -559,7 +559,7 @@ def coeff.linearMap (g : Γ) : HahnSeries Γ R →ₗ[R] R :=
 
 section Domain
 
-variable {Γ' : Type _} [PartialOrder Γ']
+variable {Γ' : Type*} [PartialOrder Γ']
 
 theorem embDomain_smul (f : Γ ↪o Γ') (r : R) (x : HahnSeries Γ R) :
     embDomain f (r • x) = r • embDomain f x := by
@@ -1003,7 +1003,7 @@ end Semiring
 
 section Domain
 
-variable {Γ' : Type _} [OrderedCancelAddCommMonoid Γ']
+variable {Γ' : Type*} [OrderedCancelAddCommMonoid Γ']
 
 theorem embDomain_mul [NonUnitalNonAssocSemiring R] (f : Γ ↪o Γ')
     (hf : ∀ x y, f (x + y) = f x + f y) (x y : HahnSeries Γ R) :
@@ -1066,7 +1066,7 @@ end Domain
 
 section Algebra
 
-variable [CommSemiring R] {A : Type _} [Semiring A] [Algebra R A]
+variable [CommSemiring R] {A : Type*} [Semiring A] [Algebra R A]
 
 instance : Algebra R (HahnSeries Γ A) where
   toRingHom := C.comp (algebraMap R A)
@@ -1101,7 +1101,7 @@ instance [Nontrivial Γ] [Nontrivial R] : Nontrivial (Subalgebra R (HahnSeries 
 
 section Domain
 
-variable {Γ' : Type _} [OrderedCancelAddCommMonoid Γ']
+variable {Γ' : Type*} [OrderedCancelAddCommMonoid Γ']
 
 /-- Extending the domain of Hahn series is an algebra homomorphism. -/
 @[simps!]
@@ -1234,7 +1234,7 @@ even though we assume `Fintype σ` as this is more natural for alignment with `M
 After importing `Algebra.Order.Pi` the ring `HahnSeries (σ → ℕ) R` could be constructed instead.
  -/
 @[simps]
-def toMvPowerSeries {σ : Type _} [Fintype σ] : HahnSeries (σ →₀ ℕ) R ≃+* MvPowerSeries σ R where
+def toMvPowerSeries {σ : Type*} [Fintype σ] : HahnSeries (σ →₀ ℕ) R ≃+* MvPowerSeries σ R where
   toFun f := f.coeff
   invFun f := ⟨(f : (σ →₀ ℕ) → R), Finsupp.isPwo _⟩
   left_inv f := by
@@ -1260,7 +1260,7 @@ def toMvPowerSeries {σ : Type _} [Fintype σ] : HahnSeries (σ →₀ ℕ) R 
       rw [and_iff_right (left_ne_zero_of_mul h), and_iff_right (right_ne_zero_of_mul h)]
 #align hahn_series.to_mv_power_series HahnSeries.toMvPowerSeries
 
-variable {σ : Type _} [Fintype σ]
+variable {σ : Type*} [Fintype σ]
 
 theorem coeff_toMvPowerSeries {f : HahnSeries (σ →₀ ℕ) R} {n : σ →₀ ℕ} :
     MvPowerSeries.coeff R n (toMvPowerSeries f) = f.coeff n :=
@@ -1276,7 +1276,7 @@ end Semiring
 
 section Algebra
 
-variable (R) [CommSemiring R] {A : Type _} [Semiring A] [Algebra R A]
+variable (R) [CommSemiring R] {A : Type*} [Semiring A] [Algebra R A]
 
 /-- The `R`-algebra `HahnSeries ℕ A` is isomorphic to `PowerSeries A`. -/
 @[simps!]
@@ -1303,13 +1303,13 @@ def ofPowerSeriesAlg : PowerSeries A →ₐ[R] HahnSeries Γ A :=
     (AlgEquiv.toAlgHom (toPowerSeriesAlg R).symm)
 #align hahn_series.of_power_series_alg HahnSeries.ofPowerSeriesAlg
 
-instance powerSeriesAlgebra {S : Type _} [CommSemiring S] [Algebra S (PowerSeries R)] :
+instance powerSeriesAlgebra {S : Type*} [CommSemiring S] [Algebra S (PowerSeries R)] :
     Algebra S (HahnSeries Γ R) :=
   RingHom.toAlgebra <| (ofPowerSeries Γ R).comp (algebraMap S (PowerSeries R))
 #align hahn_series.power_series_algebra HahnSeries.powerSeriesAlgebra
 
 variable {R}
-variable {S : Type _} [CommSemiring S] [Algebra S (PowerSeries R)]
+variable {S : Type*} [CommSemiring S] [Algebra S (PowerSeries R)]
 
 theorem algebraMap_apply' (x : S) :
     algebraMap S (HahnSeries Γ R) x = ofPowerSeries Γ R (algebraMap S (PowerSeries R) x) :=
@@ -1398,7 +1398,7 @@ variable (Γ) (R) [PartialOrder Γ] [AddCommMonoid R]
 /-- An infinite family of Hahn series which has a formal coefficient-wise sum.
   The requirements for this are that the union of the supports of the series is well-founded,
   and that only finitely many series are nonzero at any given coefficient. -/
-structure SummableFamily (α : Type _) where
+structure SummableFamily (α : Type*) where
   toFun : α → HahnSeries Γ R
   isPwo_iUnion_support' : Set.IsPwo (⋃ a : α, (toFun a).support)
   finite_co_support' : ∀ g : Γ, { a | (toFun a).coeff g ≠ 0 }.Finite
@@ -1410,7 +1410,7 @@ namespace SummableFamily
 
 section AddCommMonoid
 
-variable [PartialOrder Γ] [AddCommMonoid R] {α : Type _}
+variable [PartialOrder Γ] [AddCommMonoid R] {α : Type*}
 
 instance : FunLike (SummableFamily Γ R α) α fun _ => HahnSeries Γ R where
   coe := toFun
@@ -1527,7 +1527,7 @@ end AddCommMonoid
 
 section AddCommGroup
 
-variable [PartialOrder Γ] [AddCommGroup R] {α : Type _} {s t : SummableFamily Γ R α} {a : α}
+variable [PartialOrder Γ] [AddCommGroup R] {α : Type*} {s t : SummableFamily Γ R α} {a : α}
 
 instance : AddCommGroup (SummableFamily Γ R α) :=
   { inferInstanceAs (AddCommMonoid (SummableFamily Γ R α)) with
@@ -1565,7 +1565,7 @@ end AddCommGroup
 
 section Semiring
 
-variable [OrderedCancelAddCommMonoid Γ] [Semiring R] {α : Type _}
+variable [OrderedCancelAddCommMonoid Γ] [Semiring R] {α : Type*}
 
 instance : SMul (HahnSeries Γ R) (SummableFamily Γ R α)
     where smul x s :=
@@ -1644,7 +1644,7 @@ def lsum : SummableFamily Γ R α →ₗ[HahnSeries Γ R] HahnSeries Γ R where
 #align hahn_series.summable_family.lsum HahnSeries.SummableFamily.lsum
 
 @[simp]
-theorem hsum_sub {R : Type _} [Ring R] {s t : SummableFamily Γ R α} :
+theorem hsum_sub {R : Type*} [Ring R] {s t : SummableFamily Γ R α} :
     (s - t).hsum = s.hsum - t.hsum := by
   rw [← lsum_apply, LinearMap.map_sub, lsum_apply, lsum_apply]
 #align hahn_series.summable_family.hsum_sub HahnSeries.SummableFamily.hsum_sub
@@ -1653,7 +1653,7 @@ end Semiring
 
 section OfFinsupp
 
-variable [PartialOrder Γ] [AddCommMonoid R] {α : Type _}
+variable [PartialOrder Γ] [AddCommMonoid R] {α : Type*}
 
 /-- A family with only finitely many nonzero elements is summable. -/
 def ofFinsupp (f : α →₀ HahnSeries Γ R) : SummableFamily Γ R α where
@@ -1694,7 +1694,7 @@ end OfFinsupp
 
 section EmbDomain
 
-variable [PartialOrder Γ] [AddCommMonoid R] {α β : Type _}
+variable [PartialOrder Γ] [AddCommMonoid R] {α β : Type*}
 
 /-- A summable family can be reindexed by an embedding without changing its sum. -/
 def embDomain (s : SummableFamily Γ R α) (f : α ↪ β) : SummableFamily Γ R β where

@@ -1412,8 +1412,9 @@ section AddCommMonoid
 
 variable [PartialOrder Γ] [AddCommMonoid R] {α : Type _}
 
-instance : CoeFun (SummableFamily Γ R α) fun _ => α → HahnSeries Γ R :=
-  ⟨toFun⟩
+instance : FunLike (SummableFamily Γ R α) α fun _ => HahnSeries Γ R where
+  coe := toFun
+  coe_injective' | ⟨_, _, _⟩, ⟨_, _, _⟩, rfl => rfl
 
 theorem isPwo_iUnion_support (s : SummableFamily Γ R α) : Set.IsPwo (⋃ a : α, (s a).support) :=
   s.isPwo_iUnion_support'
@@ -1424,13 +1425,13 @@ theorem finite_co_support (s : SummableFamily Γ R α) (g : Γ) :
   s.finite_co_support' g
 #align hahn_series.summable_family.finite_co_support HahnSeries.SummableFamily.finite_co_support
 
-theorem coe_injective : @Function.Injective (SummableFamily Γ R α) (α → HahnSeries Γ R) (⇑)
-  | ⟨f1, hU1, hf1⟩, ⟨f2, _, _⟩, h => by congr
+theorem coe_injective : @Function.Injective (SummableFamily Γ R α) (α → HahnSeries Γ R) (⇑) :=
+  FunLike.coe_injective
 #align hahn_series.summable_family.coe_injective HahnSeries.SummableFamily.coe_injective
 
 @[ext]
 theorem ext {s t : SummableFamily Γ R α} (h : ∀ a : α, s a = t a) : s = t :=
-  coe_injective <| funext h
+  FunLike.ext s t h
 #align hahn_series.summable_family.ext HahnSeries.SummableFamily.ext
 
 instance : Add (SummableFamily Γ R α) :=

• depends on: #5966

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

@@ -2,11 +2,6 @@
 Copyright (c) 2021 Aaron Anderson. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Aaron Anderson
-
-! This file was ported from Lean 3 source module ring_theory.hahn_series
-! leanprover-community/mathlib commit a484a7d0eade4e1268f4fb402859b6686037f965
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Order.WellFoundedSet
 import Mathlib.Algebra.BigOperators.Finprod
@@ -16,6 +11,8 @@ import Mathlib.Data.Finsupp.Pwo
 import Mathlib.Data.Finset.MulAntidiagonal
 import Mathlib.Algebra.Order.Group.WithTop
 
+#align_import ring_theory.hahn_series from "leanprover-community/mathlib"@"a484a7d0eade4e1268f4fb402859b6686037f965"
+
 /-!
 # Hahn Series
 If `Γ` is ordered and `R` has zero, then `HahnSeries Γ R` consists of formal series over `Γ` with

This PR is the result of running

find . -type f -name "*.lean" -exec sed -i -E 's/^( +)\. /\1· /' {} \;
find . -type f -name "*.lean" -exec sed -i -E 'N;s/^( +·)\n +(.*)$/\1 \2/;P;D' {} \;

which firstly replaces . focusing dots with · and secondly removes isolated instances of such dots, unifying them with the following line. A new rule is placed in the style linter to verify this.

@@ -391,7 +391,7 @@ theorem min_order_le_order_add {Γ} [LinearOrderedCancelAddCommMonoid Γ] {x y :
   by_cases hy : y = 0; · simp [hy]
   rw [order_of_ne hx, order_of_ne hy, order_of_ne hxy]
   refine' le_of_eq_of_le _ (Set.IsWf.min_le_min_of_subset (support_add_subset (x := x) (y := y)))
-  . exact (Set.IsWf.min_union _ _ _ _).symm
+  · exact (Set.IsWf.min_union _ _ _ _).symm
 #align hahn_series.min_order_le_order_add HahnSeries.min_order_le_order_add
 
 /-- `single` as an additive monoid/group homomorphism -/
@@ -1226,7 +1226,7 @@ theorem ofPowerSeries_X_pow {R} [CommSemiring R] (n : ℕ) :
   induction' n with n ih
   · simp
     rfl
-  . rw [pow_succ, pow_succ, ih, ofPowerSeries_X, mul_comm, single_mul_single, one_mul,
+  · rw [pow_succ, pow_succ, ih, ofPowerSeries_X, mul_comm, single_mul_single, one_mul,
       Nat.cast_succ, add_comm]
 #align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_X_pow
 

Changes are of the form

• some_tactic at h⊢ -> some_tactic at h ⊢
• some_tactic at h -> some_tactic at h

@@ -789,7 +789,7 @@ private theorem mul_assoc' [NonUnitalSemiring R] (x y z : HahnSeries Γ R) :
   refine' sum_bij_ne_zero (fun a _ _ => ⟨⟨a.2.1, a.2.2 + a.1.2⟩, ⟨a.2.2, a.1.2⟩⟩) _ _ _ _
   · rintro ⟨⟨i, j⟩, ⟨k, l⟩⟩ H1 H2
     simp only [and_true_iff, Set.image2_add, eq_self_iff_true, mem_addAntidiagonal, Ne.def,
-      Set.image_prod, mem_sigma, Set.mem_setOf_eq] at H1 H2⊢
+      Set.image_prod, mem_sigma, Set.mem_setOf_eq] at H1 H2 ⊢
     obtain ⟨⟨H3, nz, rfl⟩, nx, ny, rfl⟩ := H1
     exact ⟨⟨nx, Set.add_mem_add ny nz, (add_assoc _ _ _).symm⟩, ny, nz⟩
   · rintro ⟨⟨i1, j1⟩, k1, l1⟩ ⟨⟨i2, j2⟩, k2, l2⟩ H1 H2 H3 H4 H5
@@ -800,7 +800,7 @@ private theorem mul_assoc' [NonUnitalSemiring R] (x y z : HahnSeries Γ R) :
     simp only [and_true_iff, Prod.mk.inj_iff, eq_self_iff_true, heq_iff_eq, ← H1.2.2.2, ← H3.2.2.2]
   · rintro ⟨⟨i, j⟩, ⟨k, l⟩⟩ H1 H2
     simp only [exists_prop, Set.image2_add, Prod.mk.inj_iff, mem_addAntidiagonal, Sigma.exists,
-      Ne.def, Set.image_prod, mem_sigma, Set.mem_setOf_eq, heq_iff_eq, Prod.exists] at H1 H2⊢
+      Ne.def, Set.image_prod, mem_sigma, Set.mem_setOf_eq, heq_iff_eq, Prod.exists] at H1 H2 ⊢
     obtain ⟨⟨nx, H, rfl⟩, ny, nz, rfl⟩ := H1
     exact
       ⟨i + k, l, i, k, ⟨⟨Set.add_mem_add nx ny, nz, add_assoc _ _ _⟩ , nx, ny, rfl⟩,

Part 3 of #5001

@@ -1161,7 +1161,7 @@ theorem coeff_toPowerSeries_symm {f : PowerSeries R} {n : ℕ} :
 
 variable (Γ R) [StrictOrderedSemiring Γ]
 
-/-- Casts a power series as a Hahn series with coefficients from an `StrictOrderedSemiring`. -/
+/-- Casts a power series as a Hahn series with coefficients from a `StrictOrderedSemiring`. -/
 def ofPowerSeries : PowerSeries R →+* HahnSeries Γ R :=
   (HahnSeries.embDomainRingHom (Nat.castAddMonoidHom Γ) Nat.strictMono_cast.injective fun _ _ =>
         Nat.cast_le).comp
@@ -1297,7 +1297,7 @@ def toPowerSeriesAlg : HahnSeries ℕ A ≃ₐ[R] PowerSeries A :=
 
 variable (Γ) [StrictOrderedSemiring Γ]
 
-/-- Casting a power series as a Hahn series with coefficients from an `StrictOrderedSemiring`
+/-- Casting a power series as a Hahn series with coefficients from a `StrictOrderedSemiring`
   is an algebra homomorphism. -/
 @[simps!]
 def ofPowerSeriesAlg : PowerSeries A →ₐ[R] HahnSeries Γ A :=

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

@@ -31,7 +31,7 @@ in the file `RingTheory/LaurentSeries`.
   * If `Γ` is ordered and `R` has zero, then `HahnSeries Γ R` consists of
   formal series over `Γ` with coefficients in `R`, whose supports are partially well-ordered.
   * If `R` is a (commutative) additive monoid or group, then so is `HahnSeries Γ R`.
-  * If `R` is a (comm_)(semi)ring, then so is `HahnSeries Γ R`.
+  * If `R` is a (commutative) (semi-)ring, then so is `HahnSeries Γ R`.
   * `HahnSeries.addVal Γ R` defines an `AddValuation` on `HahnSeries Γ R` when `Γ` is linearly
     ordered.
   * A `HahnSeries.SummableFamily` is a family of Hahn series such that the union of their supports

@@ -25,7 +25,7 @@ a linearly ordered abelian group and `R` is a field, in which case `HahnSeries 
 valued field, with value group `Γ`.
 
 These generalize Laurent series (with value group `ℤ`), and Laurent series are implemented that way
-in the file `ring_theory/laurent_series`.
+in the file `RingTheory/LaurentSeries`.
 
 ## Main Definitions
   * If `Γ` is ordered and `R` has zero, then `HahnSeries Γ R` consists of
@@ -42,7 +42,7 @@ in the file `ring_theory/laurent_series`.
   `HahnSeries.SummableFamily`, and formally summable families whose sums do not converge
   topologically.
   * Laurent series over `R` are implemented as `HahnSeries ℤ R` in the file
-    `ring_theory/laurent_series`.
+    `RingTheory/LaurentSeries`.
 
 ## TODO
   * Build an API for the variable `X` (defined to be `single 1 1 : HahnSeries Γ R`) in analogy to
@@ -1220,7 +1220,7 @@ theorem ofPowerSeries_X : ofPowerSeries Γ R PowerSeries.X = single 1 1 := by
 #align hahn_series.of_power_series_X HahnSeries.ofPowerSeries_X
 
 @[simp]
-theorem ofPowerSeries_x_pow {R} [CommSemiring R] (n : ℕ) :
+theorem ofPowerSeries_X_pow {R} [CommSemiring R] (n : ℕ) :
     ofPowerSeries Γ R (PowerSeries.X ^ n) = single (n : Γ) 1 := by
   rw [RingHom.map_pow]
   induction' n with n ih
@@ -1228,7 +1228,7 @@ theorem ofPowerSeries_x_pow {R} [CommSemiring R] (n : ℕ) :
     rfl
   . rw [pow_succ, pow_succ, ih, ofPowerSeries_X, mul_comm, single_mul_single, one_mul,
       Nat.cast_succ, add_comm]
-#align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_x_pow
+#align hahn_series.of_power_series_X_pow HahnSeries.ofPowerSeries_X_pow
 
 -- Lemmas about converting hahn_series over fintype to and from mv_power_series
 /-- The ring `HahnSeries (σ →₀ ℕ) R` is isomorphic to `MvPowerSeries σ R` for a `Fintype` `σ`.