algebra.order.smul ⟷ Mathlib.Algebra.Order.Module.OrderedSMul

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

@@ -217,7 +217,7 @@ instance Nat.orderedSMul [LinearOrderedCancelAddCommMonoid M] : OrderedSMul ℕ
 instance Int.orderedSMul [LinearOrderedAddCommGroup M] : OrderedSMul ℤ M :=
   OrderedSMul.mk'' fun n hn => by
     cases n
-    · simp only [Int.ofNat_eq_coe, Int.coe_nat_pos, natCast_zsmul] at hn ⊢
+    · simp only [Int.ofNat_eq_coe, Int.natCast_pos, natCast_zsmul] at hn ⊢
       exact strictMono_smul_left_of_pos hn
     · cases (Int.negSucc_not_pos _).1 hn
 #align int.ordered_smul Int.orderedSMul

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

@@ -7,7 +7,7 @@ import Algebra.Module.Pi
 import Algebra.Module.Prod
 import Algebra.Order.Monoid.Prod
 import Algebra.Order.Pi
-import Data.Set.Pointwise.Smul
+import Data.Set.Pointwise.SMul
 import Tactic.Positivity
 
 #align_import algebra.order.smul from "leanprover-community/mathlib"@"3ba15165bd6927679be7c22d6091a87337e3cd0c"
@@ -209,7 +209,7 @@ instance Nat.orderedSMul [LinearOrderedCancelAddCommMonoid M] : OrderedSMul ℕ
     · cases hn
     induction' n with n ih
     · simp only [one_nsmul, hab]
-    · simp only [succ_nsmul _ n.succ, add_lt_add hab (ih n.succ_pos)]
+    · simp only [succ_nsmul' _ n.succ, add_lt_add hab (ih n.succ_pos)]
 #align nat.ordered_smul Nat.orderedSMul
 -/
 
@@ -217,7 +217,7 @@ instance Nat.orderedSMul [LinearOrderedCancelAddCommMonoid M] : OrderedSMul ℕ
 instance Int.orderedSMul [LinearOrderedAddCommGroup M] : OrderedSMul ℤ M :=
   OrderedSMul.mk'' fun n hn => by
     cases n
-    · simp only [Int.ofNat_eq_coe, Int.coe_nat_pos, coe_nat_zsmul] at hn ⊢
+    · simp only [Int.ofNat_eq_coe, Int.coe_nat_pos, natCast_zsmul] at hn ⊢
       exact strictMono_smul_left_of_pos hn
     · cases (Int.negSucc_not_pos _).1 hn
 #align int.ordered_smul Int.orderedSMul

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

@@ -130,7 +130,7 @@ theorem eq_of_smul_eq_smul_of_pos_of_le (h₁ : c • a = c • b) (hc : 0 < c)
 #print lt_of_smul_lt_smul_of_nonneg_left /-
 theorem lt_of_smul_lt_smul_of_nonneg_left (h : c • a < c • b) (hc : 0 ≤ c) : a < b :=
   hc.eq_or_lt.elim
-    (fun hc => False.elim <| lt_irrefl (0 : M) <| by rwa [← hc, zero_smul, zero_smul] at h )
+    (fun hc => False.elim <| lt_irrefl (0 : M) <| by rwa [← hc, zero_smul, zero_smul] at h)
     (OrderedSMul.lt_of_smul_lt_smul_of_pos h)
 #align lt_of_smul_lt_smul_of_nonneg lt_of_smul_lt_smul_of_nonneg_left
 -/

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

@@ -92,28 +92,28 @@ section OrderedSMul
 variable [OrderedSemiring R] [OrderedAddCommMonoid M] [SMulWithZero R M] [OrderedSMul R M]
   {s : Set M} {a b : M} {c : R}
 
-#print smul_lt_smul_of_pos /-
-theorem smul_lt_smul_of_pos : a < b → 0 < c → c • a < c • b :=
+#print smul_lt_smul_of_pos_left /-
+theorem smul_lt_smul_of_pos_left : a < b → 0 < c → c • a < c • b :=
   OrderedSMul.smul_lt_smul_of_pos
-#align smul_lt_smul_of_pos smul_lt_smul_of_pos
+#align smul_lt_smul_of_pos smul_lt_smul_of_pos_left
 -/
 
-#print smul_le_smul_of_nonneg /-
-theorem smul_le_smul_of_nonneg (h₁ : a ≤ b) (h₂ : 0 ≤ c) : c • a ≤ c • b :=
+#print smul_le_smul_of_nonneg_left /-
+theorem smul_le_smul_of_nonneg_left (h₁ : a ≤ b) (h₂ : 0 ≤ c) : c • a ≤ c • b :=
   by
   rcases h₁.eq_or_lt with (rfl | hab)
   · rfl
   · rcases h₂.eq_or_lt with (rfl | hc)
     · rw [zero_smul, zero_smul]
-    · exact (smul_lt_smul_of_pos hab hc).le
-#align smul_le_smul_of_nonneg smul_le_smul_of_nonneg
+    · exact (smul_lt_smul_of_pos_left hab hc).le
+#align smul_le_smul_of_nonneg smul_le_smul_of_nonneg_left
 -/
 
 #print smul_nonneg /-
 theorem smul_nonneg (hc : 0 ≤ c) (ha : 0 ≤ a) : 0 ≤ c • a :=
   calc
     (0 : M) = c • (0 : M) := (smul_zero c).symm
-    _ ≤ c • a := smul_le_smul_of_nonneg ha hc
+    _ ≤ c • a := smul_le_smul_of_nonneg_left ha hc
 #align smul_nonneg smul_nonneg
 -/
 
@@ -123,72 +123,70 @@ theorem smul_nonpos_of_nonneg_of_nonpos (hc : 0 ≤ c) (ha : a ≤ 0) : c • a
 #align smul_nonpos_of_nonneg_of_nonpos smul_nonpos_of_nonneg_of_nonpos
 -/
 
-#print eq_of_smul_eq_smul_of_pos_of_le /-
 theorem eq_of_smul_eq_smul_of_pos_of_le (h₁ : c • a = c • b) (hc : 0 < c) (hle : a ≤ b) : a = b :=
-  hle.lt_or_eq.resolve_left fun hlt => (smul_lt_smul_of_pos hlt hc).Ne h₁
+  hle.lt_or_eq.resolve_left fun hlt => (smul_lt_smul_of_pos_left hlt hc).Ne h₁
 #align eq_of_smul_eq_smul_of_pos_of_le eq_of_smul_eq_smul_of_pos_of_le
--/
 
-#print lt_of_smul_lt_smul_of_nonneg /-
-theorem lt_of_smul_lt_smul_of_nonneg (h : c • a < c • b) (hc : 0 ≤ c) : a < b :=
+#print lt_of_smul_lt_smul_of_nonneg_left /-
+theorem lt_of_smul_lt_smul_of_nonneg_left (h : c • a < c • b) (hc : 0 ≤ c) : a < b :=
   hc.eq_or_lt.elim
     (fun hc => False.elim <| lt_irrefl (0 : M) <| by rwa [← hc, zero_smul, zero_smul] at h )
     (OrderedSMul.lt_of_smul_lt_smul_of_pos h)
-#align lt_of_smul_lt_smul_of_nonneg lt_of_smul_lt_smul_of_nonneg
+#align lt_of_smul_lt_smul_of_nonneg lt_of_smul_lt_smul_of_nonneg_left
 -/
 
-#print smul_lt_smul_iff_of_pos /-
-theorem smul_lt_smul_iff_of_pos (hc : 0 < c) : c • a < c • b ↔ a < b :=
-  ⟨fun h => lt_of_smul_lt_smul_of_nonneg h hc.le, fun h => smul_lt_smul_of_pos h hc⟩
-#align smul_lt_smul_iff_of_pos smul_lt_smul_iff_of_pos
+#print smul_lt_smul_iff_of_pos_left /-
+theorem smul_lt_smul_iff_of_pos_left (hc : 0 < c) : c • a < c • b ↔ a < b :=
+  ⟨fun h => lt_of_smul_lt_smul_of_nonneg_left h hc.le, fun h => smul_lt_smul_of_pos_left h hc⟩
+#align smul_lt_smul_iff_of_pos smul_lt_smul_iff_of_pos_left
 -/
 
-#print smul_pos_iff_of_pos /-
-theorem smul_pos_iff_of_pos (hc : 0 < c) : 0 < c • a ↔ 0 < a :=
+#print smul_pos_iff_of_pos_left /-
+theorem smul_pos_iff_of_pos_left (hc : 0 < c) : 0 < c • a ↔ 0 < a :=
   calc
     0 < c • a ↔ c • 0 < c • a := by rw [smul_zero]
-    _ ↔ 0 < a := smul_lt_smul_iff_of_pos hc
-#align smul_pos_iff_of_pos smul_pos_iff_of_pos
+    _ ↔ 0 < a := smul_lt_smul_iff_of_pos_left hc
+#align smul_pos_iff_of_pos smul_pos_iff_of_pos_left
 -/
 
-alias ⟨_, smul_pos⟩ := smul_pos_iff_of_pos
+alias ⟨_, smul_pos⟩ := smul_pos_iff_of_pos_left
 #align smul_pos smul_pos
 
-#print monotone_smul_left /-
-theorem monotone_smul_left (hc : 0 ≤ c) : Monotone (SMul.smul c : M → M) := fun a b h =>
-  smul_le_smul_of_nonneg h hc
-#align monotone_smul_left monotone_smul_left
+#print monotone_smul_left_of_nonneg /-
+theorem monotone_smul_left_of_nonneg (hc : 0 ≤ c) : Monotone (SMul.smul c : M → M) := fun a b h =>
+  smul_le_smul_of_nonneg_left h hc
+#align monotone_smul_left monotone_smul_left_of_nonneg
 -/
 
-#print strictMono_smul_left /-
-theorem strictMono_smul_left (hc : 0 < c) : StrictMono (SMul.smul c : M → M) := fun a b h =>
-  smul_lt_smul_of_pos h hc
-#align strict_mono_smul_left strictMono_smul_left
+#print strictMono_smul_left_of_pos /-
+theorem strictMono_smul_left_of_pos (hc : 0 < c) : StrictMono (SMul.smul c : M → M) := fun a b h =>
+  smul_lt_smul_of_pos_left h hc
+#align strict_mono_smul_left strictMono_smul_left_of_pos
 -/
 
-#print smul_lowerBounds_subset_lowerBounds_smul /-
-theorem smul_lowerBounds_subset_lowerBounds_smul (hc : 0 ≤ c) :
+#print smul_lowerBounds_subset_lowerBounds_smul_of_nonneg /-
+theorem smul_lowerBounds_subset_lowerBounds_smul_of_nonneg (hc : 0 ≤ c) :
     c • lowerBounds s ⊆ lowerBounds (c • s) :=
-  (monotone_smul_left hc).image_lowerBounds_subset_lowerBounds_image
-#align smul_lower_bounds_subset_lower_bounds_smul smul_lowerBounds_subset_lowerBounds_smul
+  (monotone_smul_left_of_nonneg hc).image_lowerBounds_subset_lowerBounds_image
+#align smul_lower_bounds_subset_lower_bounds_smul smul_lowerBounds_subset_lowerBounds_smul_of_nonneg
 -/
 
-#print smul_upperBounds_subset_upperBounds_smul /-
-theorem smul_upperBounds_subset_upperBounds_smul (hc : 0 ≤ c) :
+#print smul_upperBounds_subset_upperBounds_smul_of_nonneg /-
+theorem smul_upperBounds_subset_upperBounds_smul_of_nonneg (hc : 0 ≤ c) :
     c • upperBounds s ⊆ upperBounds (c • s) :=
-  (monotone_smul_left hc).image_upperBounds_subset_upperBounds_image
-#align smul_upper_bounds_subset_upper_bounds_smul smul_upperBounds_subset_upperBounds_smul
+  (monotone_smul_left_of_nonneg hc).image_upperBounds_subset_upperBounds_image
+#align smul_upper_bounds_subset_upper_bounds_smul smul_upperBounds_subset_upperBounds_smul_of_nonneg
 -/
 
 #print BddBelow.smul_of_nonneg /-
 theorem BddBelow.smul_of_nonneg (hs : BddBelow s) (hc : 0 ≤ c) : BddBelow (c • s) :=
-  (monotone_smul_left hc).map_bddBelow hs
+  (monotone_smul_left_of_nonneg hc).map_bddBelow hs
 #align bdd_below.smul_of_nonneg BddBelow.smul_of_nonneg
 -/
 
 #print BddAbove.smul_of_nonneg /-
 theorem BddAbove.smul_of_nonneg (hs : BddAbove s) (hc : 0 ≤ c) : BddAbove (c • s) :=
-  (monotone_smul_left hc).map_bddAbove hs
+  (monotone_smul_left_of_nonneg hc).map_bddAbove hs
 #align bdd_above.smul_of_nonneg BddAbove.smul_of_nonneg
 -/
 
@@ -220,7 +218,7 @@ instance Int.orderedSMul [LinearOrderedAddCommGroup M] : OrderedSMul ℤ M :=
   OrderedSMul.mk'' fun n hn => by
     cases n
     · simp only [Int.ofNat_eq_coe, Int.coe_nat_pos, coe_nat_zsmul] at hn ⊢
-      exact strictMono_smul_left hn
+      exact strictMono_smul_left_of_pos hn
     · cases (Int.negSucc_not_pos _).1 hn
 #align int.ordered_smul Int.orderedSMul
 -/
@@ -237,16 +235,16 @@ instance LinearOrderedSemiring.toOrderedSMul : OrderedSMul R R :=
 #align linear_ordered_semiring.to_ordered_smul LinearOrderedSemiring.toOrderedSMul
 -/
 
-#print smul_max /-
-theorem smul_max (ha : 0 ≤ a) (b₁ b₂ : M) : a • max b₁ b₂ = max (a • b₁) (a • b₂) :=
-  (monotone_smul_left ha : Monotone (_ : M → M)).map_max
-#align smul_max smul_max
+#print smul_max_of_nonneg /-
+theorem smul_max_of_nonneg (ha : 0 ≤ a) (b₁ b₂ : M) : a • max b₁ b₂ = max (a • b₁) (a • b₂) :=
+  (monotone_smul_left_of_nonneg ha : Monotone (_ : M → M)).map_max
+#align smul_max smul_max_of_nonneg
 -/
 
-#print smul_min /-
-theorem smul_min (ha : 0 ≤ a) (b₁ b₂ : M) : a • min b₁ b₂ = min (a • b₁) (a • b₂) :=
-  (monotone_smul_left ha : Monotone (_ : M → M)).map_min
-#align smul_min smul_min
+#print smul_min_of_nonneg /-
+theorem smul_min_of_nonneg (ha : 0 ≤ a) (b₁ b₂ : M) : a • min b₁ b₂ = min (a • b₁) (a • b₂) :=
+  (monotone_smul_left_of_nonneg ha : Monotone (_ : M → M)).map_min
+#align smul_min smul_min_of_nonneg
 -/
 
 end LinearOrderedSemiring
@@ -278,78 +276,74 @@ theorem OrderedSMul.mk' (h : ∀ ⦃a b : M⦄ ⦃c : 𝕜⦄, a < b → 0 < c 
 
 instance [OrderedSMul 𝕜 M] [OrderedSMul 𝕜 N] : OrderedSMul 𝕜 (M × N) :=
   OrderedSMul.mk' fun a b c h hc =>
-    ⟨smul_le_smul_of_nonneg h.1.1 hc.le, smul_le_smul_of_nonneg h.1.2 hc.le⟩
+    ⟨smul_le_smul_of_nonneg_left h.1.1 hc.le, smul_le_smul_of_nonneg_left h.1.2 hc.le⟩
 
 #print Pi.orderedSMul /-
 instance Pi.orderedSMul {M : ι → Type _} [∀ i, OrderedAddCommMonoid (M i)]
     [∀ i, MulActionWithZero 𝕜 (M i)] [∀ i, OrderedSMul 𝕜 (M i)] : OrderedSMul 𝕜 (∀ i, M i) :=
-  OrderedSMul.mk' fun v u c h hc i => smul_le_smul_of_nonneg (h.le i) hc.le
+  OrderedSMul.mk' fun v u c h hc i => smul_le_smul_of_nonneg_left (h.le i) hc.le
 #align pi.ordered_smul Pi.orderedSMul
 -/
 
-#print Pi.orderedSMul' /-
 /- Sometimes Lean fails to apply the dependent version to non-dependent functions, so we define
 another instance. -/
-instance Pi.orderedSMul' [OrderedSMul 𝕜 M] : OrderedSMul 𝕜 (ι → M) :=
+instance Pi.ordered_smul' [OrderedSMul 𝕜 M] : OrderedSMul 𝕜 (ι → M) :=
   Pi.orderedSMul
-#align pi.ordered_smul' Pi.orderedSMul'
--/
+#align pi.ordered_smul' Pi.ordered_smul'
 
-#print Pi.orderedSMul'' /-
 -- Sometimes Lean fails to unify the module with the scalars, so we define another instance.
-instance Pi.orderedSMul'' : OrderedSMul 𝕜 (ι → 𝕜) :=
-  @Pi.orderedSMul' ι 𝕜 𝕜 _ _ _ _
-#align pi.ordered_smul'' Pi.orderedSMul''
--/
+instance Pi.ordered_smul'' : OrderedSMul 𝕜 (ι → 𝕜) :=
+  @Pi.ordered_smul' ι 𝕜 𝕜 _ _ _ _
+#align pi.ordered_smul'' Pi.ordered_smul''
 
 variable [OrderedSMul 𝕜 M] {s : Set M} {a b : M} {c : 𝕜}
 
-#print smul_le_smul_iff_of_pos /-
-theorem smul_le_smul_iff_of_pos (hc : 0 < c) : c • a ≤ c • b ↔ a ≤ b :=
+#print smul_le_smul_iff_of_pos_left /-
+theorem smul_le_smul_iff_of_pos_left (hc : 0 < c) : c • a ≤ c • b ↔ a ≤ b :=
   ⟨fun h =>
     inv_smul_smul₀ hc.ne' a ▸
-      inv_smul_smul₀ hc.ne' b ▸ smul_le_smul_of_nonneg h (inv_nonneg.2 hc.le),
-    fun h => smul_le_smul_of_nonneg h hc.le⟩
-#align smul_le_smul_iff_of_pos smul_le_smul_iff_of_pos
+      inv_smul_smul₀ hc.ne' b ▸ smul_le_smul_of_nonneg_left h (inv_nonneg.2 hc.le),
+    fun h => smul_le_smul_of_nonneg_left h hc.le⟩
+#align smul_le_smul_iff_of_pos smul_le_smul_iff_of_pos_left
 -/
 
-#print inv_smul_le_iff /-
-theorem inv_smul_le_iff (h : 0 < c) : c⁻¹ • a ≤ b ↔ a ≤ c • b := by
-  rw [← smul_le_smul_iff_of_pos h, smul_inv_smul₀ h.ne']; infer_instance
-#align inv_smul_le_iff inv_smul_le_iff
+#print inv_smul_le_iff_of_pos /-
+theorem inv_smul_le_iff_of_pos (h : 0 < c) : c⁻¹ • a ≤ b ↔ a ≤ c • b := by
+  rw [← smul_le_smul_iff_of_pos_left h, smul_inv_smul₀ h.ne']; infer_instance
+#align inv_smul_le_iff inv_smul_le_iff_of_pos
 -/
 
-#print inv_smul_lt_iff /-
-theorem inv_smul_lt_iff (h : 0 < c) : c⁻¹ • a < b ↔ a < c • b := by
-  rw [← smul_lt_smul_iff_of_pos h, smul_inv_smul₀ h.ne']; infer_instance
-#align inv_smul_lt_iff inv_smul_lt_iff
+#print inv_smul_lt_iff_of_pos /-
+theorem inv_smul_lt_iff_of_pos (h : 0 < c) : c⁻¹ • a < b ↔ a < c • b := by
+  rw [← smul_lt_smul_iff_of_pos_left h, smul_inv_smul₀ h.ne']; infer_instance
+#align inv_smul_lt_iff inv_smul_lt_iff_of_pos
 -/
 
-#print le_inv_smul_iff /-
-theorem le_inv_smul_iff (h : 0 < c) : a ≤ c⁻¹ • b ↔ c • a ≤ b := by
-  rw [← smul_le_smul_iff_of_pos h, smul_inv_smul₀ h.ne']; infer_instance
-#align le_inv_smul_iff le_inv_smul_iff
+#print le_inv_smul_iff_of_pos /-
+theorem le_inv_smul_iff_of_pos (h : 0 < c) : a ≤ c⁻¹ • b ↔ c • a ≤ b := by
+  rw [← smul_le_smul_iff_of_pos_left h, smul_inv_smul₀ h.ne']; infer_instance
+#align le_inv_smul_iff le_inv_smul_iff_of_pos
 -/
 
-#print lt_inv_smul_iff /-
-theorem lt_inv_smul_iff (h : 0 < c) : a < c⁻¹ • b ↔ c • a < b := by
-  rw [← smul_lt_smul_iff_of_pos h, smul_inv_smul₀ h.ne']; infer_instance
-#align lt_inv_smul_iff lt_inv_smul_iff
+#print lt_inv_smul_iff_of_pos /-
+theorem lt_inv_smul_iff_of_pos (h : 0 < c) : a < c⁻¹ • b ↔ c • a < b := by
+  rw [← smul_lt_smul_iff_of_pos_left h, smul_inv_smul₀ h.ne']; infer_instance
+#align lt_inv_smul_iff lt_inv_smul_iff_of_pos
 -/
 
 variable (M)
 
-#print OrderIso.smulLeft /-
+#print OrderIso.smulRight /-
 /-- Left scalar multiplication as an order isomorphism. -/
 @[simps]
-def OrderIso.smulLeft (hc : 0 < c) : M ≃o M
+def OrderIso.smulRight (hc : 0 < c) : M ≃o M
     where
   toFun b := c • b
   invFun b := c⁻¹ • b
   left_inv := inv_smul_smul₀ hc.ne'
   right_inv := smul_inv_smul₀ hc.ne'
-  map_rel_iff' b₁ b₂ := smul_le_smul_iff_of_pos hc
-#align order_iso.smul_left OrderIso.smulLeft
+  map_rel_iff' b₁ b₂ := smul_le_smul_iff_of_pos_left hc
+#align order_iso.smul_left OrderIso.smulRight
 -/
 
 variable {M}
@@ -357,28 +351,28 @@ variable {M}
 #print lowerBounds_smul_of_pos /-
 @[simp]
 theorem lowerBounds_smul_of_pos (hc : 0 < c) : lowerBounds (c • s) = c • lowerBounds s :=
-  (OrderIso.smulLeft _ hc).lowerBounds_image
+  (OrderIso.smulRight _ hc).lowerBounds_image
 #align lower_bounds_smul_of_pos lowerBounds_smul_of_pos
 -/
 
 #print upperBounds_smul_of_pos /-
 @[simp]
 theorem upperBounds_smul_of_pos (hc : 0 < c) : upperBounds (c • s) = c • upperBounds s :=
-  (OrderIso.smulLeft _ hc).upperBounds_image
+  (OrderIso.smulRight _ hc).upperBounds_image
 #align upper_bounds_smul_of_pos upperBounds_smul_of_pos
 -/
 
 #print bddBelow_smul_iff_of_pos /-
 @[simp]
 theorem bddBelow_smul_iff_of_pos (hc : 0 < c) : BddBelow (c • s) ↔ BddBelow s :=
-  (OrderIso.smulLeft _ hc).bddBelow_image
+  (OrderIso.smulRight _ hc).bddBelow_image
 #align bdd_below_smul_iff_of_pos bddBelow_smul_iff_of_pos
 -/
 
 #print bddAbove_smul_iff_of_pos /-
 @[simp]
 theorem bddAbove_smul_iff_of_pos (hc : 0 < c) : BddAbove (c • s) ↔ BddAbove s :=
-  (OrderIso.smulLeft _ hc).bddAbove_image
+  (OrderIso.smulRight _ hc).bddAbove_image
 #align bdd_above_smul_iff_of_pos bddAbove_smul_iff_of_pos
 -/
 

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

@@ -237,13 +237,17 @@ instance LinearOrderedSemiring.toOrderedSMul : OrderedSMul R R :=
 #align linear_ordered_semiring.to_ordered_smul LinearOrderedSemiring.toOrderedSMul
 -/
 
+#print smul_max /-
 theorem smul_max (ha : 0 ≤ a) (b₁ b₂ : M) : a • max b₁ b₂ = max (a • b₁) (a • b₂) :=
   (monotone_smul_left ha : Monotone (_ : M → M)).map_max
 #align smul_max smul_max
+-/
 
+#print smul_min /-
 theorem smul_min (ha : 0 ≤ a) (b₁ b₂ : M) : a • min b₁ b₂ = min (a • b₁) (a • b₂) :=
   (monotone_smul_left ha : Monotone (_ : M → M)).map_min
 #align smul_min smul_min
+-/
 
 end LinearOrderedSemiring
 

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

@@ -3,12 +3,12 @@ Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Frédéric Dupuis
 -/
-import Mathbin.Algebra.Module.Pi
-import Mathbin.Algebra.Module.Prod
-import Mathbin.Algebra.Order.Monoid.Prod
-import Mathbin.Algebra.Order.Pi
-import Mathbin.Data.Set.Pointwise.Smul
-import Mathbin.Tactic.Positivity
+import Algebra.Module.Pi
+import Algebra.Module.Prod
+import Algebra.Order.Monoid.Prod
+import Algebra.Order.Pi
+import Data.Set.Pointwise.Smul
+import Tactic.Positivity
 
 #align_import algebra.order.smul from "leanprover-community/mathlib"@"3ba15165bd6927679be7c22d6091a87337e3cd0c"
 

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

@@ -62,12 +62,12 @@ variable {ι 𝕜 R M N : Type _}
 namespace OrderDual
 
 instance [Zero R] [AddZeroClass M] [h : SMulWithZero R M] : SMulWithZero R Mᵒᵈ :=
-  { instSMulOrderDual with
+  { OrderDual.instSMul with
     zero_smul := fun m => OrderDual.rec (zero_smul _) m
     smul_zero := fun r => OrderDual.rec smul_zero r }
 
 instance [Monoid R] [MulAction R M] : MulAction R Mᵒᵈ :=
-  { instSMulOrderDual with
+  { OrderDual.instSMul with
     one_smul := fun m => OrderDual.rec (one_smul _) m
     hMul_smul := fun r => OrderDual.rec hMul_smul r }
 

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

@@ -151,7 +151,7 @@ theorem smul_pos_iff_of_pos (hc : 0 < c) : 0 < c • a ↔ 0 < a :=
 #align smul_pos_iff_of_pos smul_pos_iff_of_pos
 -/
 
-alias smul_pos_iff_of_pos ↔ _ smul_pos
+alias ⟨_, smul_pos⟩ := smul_pos_iff_of_pos
 #align smul_pos smul_pos
 
 #print monotone_smul_left /-

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

@@ -69,7 +69,7 @@ instance [Zero R] [AddZeroClass M] [h : SMulWithZero R M] : SMulWithZero R Mᵒ
 instance [Monoid R] [MulAction R M] : MulAction R Mᵒᵈ :=
   { instSMulOrderDual with
     one_smul := fun m => OrderDual.rec (one_smul _) m
-    mul_smul := fun r => OrderDual.rec mul_smul r }
+    hMul_smul := fun r => OrderDual.rec hMul_smul r }
 
 instance [MonoidWithZero R] [AddMonoid M] [MulActionWithZero R M] : MulActionWithZero R Mᵒᵈ :=
   { OrderDual.mulAction, OrderDual.smulWithZero with }

mathlib commit https://github.com/leanprover-community/mathlib/commit/48a058d7e39a80ed56858505719a0b2197900999

@@ -10,7 +10,7 @@ import Mathbin.Algebra.Order.Pi
 import Mathbin.Data.Set.Pointwise.Smul
 import Mathbin.Tactic.Positivity
 
-#align_import algebra.order.smul from "leanprover-community/mathlib"@"e04043d6bf7264a3c84bc69711dc354958ca4516"
+#align_import algebra.order.smul from "leanprover-community/mathlib"@"3ba15165bd6927679be7c22d6091a87337e3cd0c"
 
 /-!
 # Ordered scalar product
@@ -225,14 +225,28 @@ instance Int.orderedSMul [LinearOrderedAddCommGroup M] : OrderedSMul ℤ M :=
 #align int.ordered_smul Int.orderedSMul
 -/
 
+section LinearOrderedSemiring
+
+variable [LinearOrderedSemiring R] [LinearOrderedAddCommMonoid M] [SMulWithZero R M]
+  [OrderedSMul R M] {a : R}
+
 #print LinearOrderedSemiring.toOrderedSMul /-
 -- TODO: `linear_ordered_field M → ordered_smul ℚ M`
-instance LinearOrderedSemiring.toOrderedSMul {R : Type _} [LinearOrderedSemiring R] :
-    OrderedSMul R R :=
+instance LinearOrderedSemiring.toOrderedSMul : OrderedSMul R R :=
   OrderedSMul.mk'' fun c => strictMono_mul_left_of_pos
 #align linear_ordered_semiring.to_ordered_smul LinearOrderedSemiring.toOrderedSMul
 -/
 
+theorem smul_max (ha : 0 ≤ a) (b₁ b₂ : M) : a • max b₁ b₂ = max (a • b₁) (a • b₂) :=
+  (monotone_smul_left ha : Monotone (_ : M → M)).map_max
+#align smul_max smul_max
+
+theorem smul_min (ha : 0 ≤ a) (b₁ b₂ : M) : a • min b₁ b₂ = min (a • b₁) (a • b₂) :=
+  (monotone_smul_left ha : Monotone (_ : M → M)).map_min
+#align smul_min smul_min
+
+end LinearOrderedSemiring
+
 section LinearOrderedSemifield
 
 variable [LinearOrderedSemifield 𝕜] [OrderedAddCommMonoid M] [OrderedAddCommMonoid N]

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

@@ -2,11 +2,6 @@
 Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Frédéric Dupuis
-
-! This file was ported from Lean 3 source module algebra.order.smul
-! leanprover-community/mathlib commit e04043d6bf7264a3c84bc69711dc354958ca4516
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Module.Pi
 import Mathbin.Algebra.Module.Prod
@@ -15,6 +10,8 @@ import Mathbin.Algebra.Order.Pi
 import Mathbin.Data.Set.Pointwise.Smul
 import Mathbin.Tactic.Positivity
 
+#align_import algebra.order.smul from "leanprover-community/mathlib"@"e04043d6bf7264a3c84bc69711dc354958ca4516"
+
 /-!
 # Ordered scalar product
 

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

@@ -48,6 +48,7 @@ ordered module, ordered scalar, ordered smul, ordered action, ordered vector spa
 
 open scoped Pointwise
 
+#print OrderedSMul /-
 /-- The ordered scalar product property is when an ordered additive commutative monoid
 with a partial order has a scalar multiplication which is compatible with the order.
 -/
@@ -57,6 +58,7 @@ class OrderedSMul (R M : Type _) [OrderedSemiring R] [OrderedAddCommMonoid M] [S
   smul_lt_smul_of_pos : ∀ {a b : M}, ∀ {c : R}, a < b → 0 < c → c • a < c • b
   lt_of_smul_lt_smul_of_pos : ∀ {a b : M}, ∀ {c : R}, c • a < c • b → 0 < c → a < b
 #align ordered_smul OrderedSMul
+-/
 
 variable {ι 𝕜 R M N : Type _}
 
@@ -93,10 +95,13 @@ section OrderedSMul
 variable [OrderedSemiring R] [OrderedAddCommMonoid M] [SMulWithZero R M] [OrderedSMul R M]
   {s : Set M} {a b : M} {c : R}
 
+#print smul_lt_smul_of_pos /-
 theorem smul_lt_smul_of_pos : a < b → 0 < c → c • a < c • b :=
   OrderedSMul.smul_lt_smul_of_pos
 #align smul_lt_smul_of_pos smul_lt_smul_of_pos
+-/
 
+#print smul_le_smul_of_nonneg /-
 theorem smul_le_smul_of_nonneg (h₁ : a ≤ b) (h₂ : 0 ≤ c) : c • a ≤ c • b :=
   by
   rcases h₁.eq_or_lt with (rfl | hab)
@@ -105,68 +110,94 @@ theorem smul_le_smul_of_nonneg (h₁ : a ≤ b) (h₂ : 0 ≤ c) : c • a ≤ c
     · rw [zero_smul, zero_smul]
     · exact (smul_lt_smul_of_pos hab hc).le
 #align smul_le_smul_of_nonneg smul_le_smul_of_nonneg
+-/
 
+#print smul_nonneg /-
 theorem smul_nonneg (hc : 0 ≤ c) (ha : 0 ≤ a) : 0 ≤ c • a :=
   calc
     (0 : M) = c • (0 : M) := (smul_zero c).symm
     _ ≤ c • a := smul_le_smul_of_nonneg ha hc
 #align smul_nonneg smul_nonneg
+-/
 
+#print smul_nonpos_of_nonneg_of_nonpos /-
 theorem smul_nonpos_of_nonneg_of_nonpos (hc : 0 ≤ c) (ha : a ≤ 0) : c • a ≤ 0 :=
   @smul_nonneg R Mᵒᵈ _ _ _ _ _ _ hc ha
 #align smul_nonpos_of_nonneg_of_nonpos smul_nonpos_of_nonneg_of_nonpos
+-/
 
+#print eq_of_smul_eq_smul_of_pos_of_le /-
 theorem eq_of_smul_eq_smul_of_pos_of_le (h₁ : c • a = c • b) (hc : 0 < c) (hle : a ≤ b) : a = b :=
   hle.lt_or_eq.resolve_left fun hlt => (smul_lt_smul_of_pos hlt hc).Ne h₁
 #align eq_of_smul_eq_smul_of_pos_of_le eq_of_smul_eq_smul_of_pos_of_le
+-/
 
+#print lt_of_smul_lt_smul_of_nonneg /-
 theorem lt_of_smul_lt_smul_of_nonneg (h : c • a < c • b) (hc : 0 ≤ c) : a < b :=
   hc.eq_or_lt.elim
     (fun hc => False.elim <| lt_irrefl (0 : M) <| by rwa [← hc, zero_smul, zero_smul] at h )
     (OrderedSMul.lt_of_smul_lt_smul_of_pos h)
 #align lt_of_smul_lt_smul_of_nonneg lt_of_smul_lt_smul_of_nonneg
+-/
 
+#print smul_lt_smul_iff_of_pos /-
 theorem smul_lt_smul_iff_of_pos (hc : 0 < c) : c • a < c • b ↔ a < b :=
   ⟨fun h => lt_of_smul_lt_smul_of_nonneg h hc.le, fun h => smul_lt_smul_of_pos h hc⟩
 #align smul_lt_smul_iff_of_pos smul_lt_smul_iff_of_pos
+-/
 
+#print smul_pos_iff_of_pos /-
 theorem smul_pos_iff_of_pos (hc : 0 < c) : 0 < c • a ↔ 0 < a :=
   calc
     0 < c • a ↔ c • 0 < c • a := by rw [smul_zero]
     _ ↔ 0 < a := smul_lt_smul_iff_of_pos hc
 #align smul_pos_iff_of_pos smul_pos_iff_of_pos
+-/
 
 alias smul_pos_iff_of_pos ↔ _ smul_pos
 #align smul_pos smul_pos
 
+#print monotone_smul_left /-
 theorem monotone_smul_left (hc : 0 ≤ c) : Monotone (SMul.smul c : M → M) := fun a b h =>
   smul_le_smul_of_nonneg h hc
 #align monotone_smul_left monotone_smul_left
+-/
 
+#print strictMono_smul_left /-
 theorem strictMono_smul_left (hc : 0 < c) : StrictMono (SMul.smul c : M → M) := fun a b h =>
   smul_lt_smul_of_pos h hc
 #align strict_mono_smul_left strictMono_smul_left
+-/
 
+#print smul_lowerBounds_subset_lowerBounds_smul /-
 theorem smul_lowerBounds_subset_lowerBounds_smul (hc : 0 ≤ c) :
     c • lowerBounds s ⊆ lowerBounds (c • s) :=
   (monotone_smul_left hc).image_lowerBounds_subset_lowerBounds_image
 #align smul_lower_bounds_subset_lower_bounds_smul smul_lowerBounds_subset_lowerBounds_smul
+-/
 
+#print smul_upperBounds_subset_upperBounds_smul /-
 theorem smul_upperBounds_subset_upperBounds_smul (hc : 0 ≤ c) :
     c • upperBounds s ⊆ upperBounds (c • s) :=
   (monotone_smul_left hc).image_upperBounds_subset_upperBounds_image
 #align smul_upper_bounds_subset_upper_bounds_smul smul_upperBounds_subset_upperBounds_smul
+-/
 
+#print BddBelow.smul_of_nonneg /-
 theorem BddBelow.smul_of_nonneg (hs : BddBelow s) (hc : 0 ≤ c) : BddBelow (c • s) :=
   (monotone_smul_left hc).map_bddBelow hs
 #align bdd_below.smul_of_nonneg BddBelow.smul_of_nonneg
+-/
 
+#print BddAbove.smul_of_nonneg /-
 theorem BddAbove.smul_of_nonneg (hs : BddAbove s) (hc : 0 ≤ c) : BddAbove (c • s) :=
   (monotone_smul_left hc).map_bddAbove hs
 #align bdd_above.smul_of_nonneg BddAbove.smul_of_nonneg
+-/
 
 end OrderedSMul
 
+#print OrderedSMul.mk'' /-
 /-- To prove that a linear ordered monoid is an ordered module, it suffices to verify only the first
 axiom of `ordered_smul`. -/
 theorem OrderedSMul.mk'' [OrderedSemiring 𝕜] [LinearOrderedAddCommMonoid M] [SMulWithZero 𝕜 M]
@@ -174,6 +205,7 @@ theorem OrderedSMul.mk'' [OrderedSemiring 𝕜] [LinearOrderedAddCommMonoid M] [
   { smul_lt_smul_of_pos := fun a b c hab hc => h hc hab
     lt_of_smul_lt_smul_of_pos := fun a b c hab hc => (h hc).lt_iff_lt.1 hab }
 #align ordered_smul.mk'' OrderedSMul.mk''
+-/
 
 #print Nat.orderedSMul /-
 instance Nat.orderedSMul [LinearOrderedCancelAddCommMonoid M] : OrderedSMul ℕ M :=
@@ -209,6 +241,7 @@ section LinearOrderedSemifield
 variable [LinearOrderedSemifield 𝕜] [OrderedAddCommMonoid M] [OrderedAddCommMonoid N]
   [MulActionWithZero 𝕜 M] [MulActionWithZero 𝕜 N]
 
+#print OrderedSMul.mk' /-
 /-- To prove that a vector space over a linear ordered field is ordered, it suffices to verify only
 the first axiom of `ordered_smul`. -/
 theorem OrderedSMul.mk' (h : ∀ ⦃a b : M⦄ ⦃c : 𝕜⦄, a < b → 0 < c → c • a ≤ c • b) :
@@ -226,54 +259,72 @@ theorem OrderedSMul.mk' (h : ∀ ⦃a b : M⦄ ⦃c : 𝕜⦄, a < b → 0 < c 
   refine' hlt' hab (pos_of_mul_pos_right _ hc.le)
   simp only [c.mul_inv, zero_lt_one]
 #align ordered_smul.mk' OrderedSMul.mk'
+-/
 
 instance [OrderedSMul 𝕜 M] [OrderedSMul 𝕜 N] : OrderedSMul 𝕜 (M × N) :=
   OrderedSMul.mk' fun a b c h hc =>
     ⟨smul_le_smul_of_nonneg h.1.1 hc.le, smul_le_smul_of_nonneg h.1.2 hc.le⟩
 
+#print Pi.orderedSMul /-
 instance Pi.orderedSMul {M : ι → Type _} [∀ i, OrderedAddCommMonoid (M i)]
     [∀ i, MulActionWithZero 𝕜 (M i)] [∀ i, OrderedSMul 𝕜 (M i)] : OrderedSMul 𝕜 (∀ i, M i) :=
   OrderedSMul.mk' fun v u c h hc i => smul_le_smul_of_nonneg (h.le i) hc.le
 #align pi.ordered_smul Pi.orderedSMul
+-/
 
+#print Pi.orderedSMul' /-
 /- Sometimes Lean fails to apply the dependent version to non-dependent functions, so we define
 another instance. -/
 instance Pi.orderedSMul' [OrderedSMul 𝕜 M] : OrderedSMul 𝕜 (ι → M) :=
   Pi.orderedSMul
 #align pi.ordered_smul' Pi.orderedSMul'
+-/
 
+#print Pi.orderedSMul'' /-
 -- Sometimes Lean fails to unify the module with the scalars, so we define another instance.
 instance Pi.orderedSMul'' : OrderedSMul 𝕜 (ι → 𝕜) :=
   @Pi.orderedSMul' ι 𝕜 𝕜 _ _ _ _
 #align pi.ordered_smul'' Pi.orderedSMul''
+-/
 
 variable [OrderedSMul 𝕜 M] {s : Set M} {a b : M} {c : 𝕜}
 
+#print smul_le_smul_iff_of_pos /-
 theorem smul_le_smul_iff_of_pos (hc : 0 < c) : c • a ≤ c • b ↔ a ≤ b :=
   ⟨fun h =>
     inv_smul_smul₀ hc.ne' a ▸
       inv_smul_smul₀ hc.ne' b ▸ smul_le_smul_of_nonneg h (inv_nonneg.2 hc.le),
     fun h => smul_le_smul_of_nonneg h hc.le⟩
 #align smul_le_smul_iff_of_pos smul_le_smul_iff_of_pos
+-/
 
+#print inv_smul_le_iff /-
 theorem inv_smul_le_iff (h : 0 < c) : c⁻¹ • a ≤ b ↔ a ≤ c • b := by
   rw [← smul_le_smul_iff_of_pos h, smul_inv_smul₀ h.ne']; infer_instance
 #align inv_smul_le_iff inv_smul_le_iff
+-/
 
+#print inv_smul_lt_iff /-
 theorem inv_smul_lt_iff (h : 0 < c) : c⁻¹ • a < b ↔ a < c • b := by
   rw [← smul_lt_smul_iff_of_pos h, smul_inv_smul₀ h.ne']; infer_instance
 #align inv_smul_lt_iff inv_smul_lt_iff
+-/
 
+#print le_inv_smul_iff /-
 theorem le_inv_smul_iff (h : 0 < c) : a ≤ c⁻¹ • b ↔ c • a ≤ b := by
   rw [← smul_le_smul_iff_of_pos h, smul_inv_smul₀ h.ne']; infer_instance
 #align le_inv_smul_iff le_inv_smul_iff
+-/
 
+#print lt_inv_smul_iff /-
 theorem lt_inv_smul_iff (h : 0 < c) : a < c⁻¹ • b ↔ c • a < b := by
   rw [← smul_lt_smul_iff_of_pos h, smul_inv_smul₀ h.ne']; infer_instance
 #align lt_inv_smul_iff lt_inv_smul_iff
+-/
 
 variable (M)
 
+#print OrderIso.smulLeft /-
 /-- Left scalar multiplication as an order isomorphism. -/
 @[simps]
 def OrderIso.smulLeft (hc : 0 < c) : M ≃o M
@@ -284,28 +335,37 @@ def OrderIso.smulLeft (hc : 0 < c) : M ≃o M
   right_inv := smul_inv_smul₀ hc.ne'
   map_rel_iff' b₁ b₂ := smul_le_smul_iff_of_pos hc
 #align order_iso.smul_left OrderIso.smulLeft
+-/
 
 variable {M}
 
+#print lowerBounds_smul_of_pos /-
 @[simp]
 theorem lowerBounds_smul_of_pos (hc : 0 < c) : lowerBounds (c • s) = c • lowerBounds s :=
   (OrderIso.smulLeft _ hc).lowerBounds_image
 #align lower_bounds_smul_of_pos lowerBounds_smul_of_pos
+-/
 
+#print upperBounds_smul_of_pos /-
 @[simp]
 theorem upperBounds_smul_of_pos (hc : 0 < c) : upperBounds (c • s) = c • upperBounds s :=
   (OrderIso.smulLeft _ hc).upperBounds_image
 #align upper_bounds_smul_of_pos upperBounds_smul_of_pos
+-/
 
+#print bddBelow_smul_iff_of_pos /-
 @[simp]
 theorem bddBelow_smul_iff_of_pos (hc : 0 < c) : BddBelow (c • s) ↔ BddBelow s :=
   (OrderIso.smulLeft _ hc).bddBelow_image
 #align bdd_below_smul_iff_of_pos bddBelow_smul_iff_of_pos
+-/
 
+#print bddAbove_smul_iff_of_pos /-
 @[simp]
 theorem bddAbove_smul_iff_of_pos (hc : 0 < c) : BddAbove (c • s) ↔ BddAbove s :=
   (OrderIso.smulLeft _ hc).bddAbove_image
 #align bdd_above_smul_iff_of_pos bddAbove_smul_iff_of_pos
+-/
 
 end LinearOrderedSemifield
 

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

@@ -110,7 +110,6 @@ theorem smul_nonneg (hc : 0 ≤ c) (ha : 0 ≤ a) : 0 ≤ c • a :=
   calc
     (0 : M) = c • (0 : M) := (smul_zero c).symm
     _ ≤ c • a := smul_le_smul_of_nonneg ha hc
-    
 #align smul_nonneg smul_nonneg
 
 theorem smul_nonpos_of_nonneg_of_nonpos (hc : 0 ≤ c) (ha : a ≤ 0) : c • a ≤ 0 :=
@@ -135,7 +134,6 @@ theorem smul_pos_iff_of_pos (hc : 0 < c) : 0 < c • a ↔ 0 < a :=
   calc
     0 < c • a ↔ c • 0 < c • a := by rw [smul_zero]
     _ ↔ 0 < a := smul_lt_smul_iff_of_pos hc
-    
 #align smul_pos_iff_of_pos smul_pos_iff_of_pos
 
 alias smul_pos_iff_of_pos ↔ _ smul_pos

mathlib commit https://github.com/leanprover-community/mathlib/commit/31c24aa72e7b3e5ed97a8412470e904f82b81004

@@ -340,6 +340,7 @@ end NoZeroSMulDivisors
 
 open Positivity
 
+-- PLEASE REPORT THIS TO MATHPORT DEVS, THIS SHOULD NOT HAPPEN.
 -- failed to format: unknown constant 'term.pseudo.antiquot'
 /--
       Extension for the `positivity` tactic: scalar multiplication is nonnegative/positive/nonzero if

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

@@ -53,7 +53,7 @@ with a partial order has a scalar multiplication which is compatible with the or
 -/
 @[protect_proj]
 class OrderedSMul (R M : Type _) [OrderedSemiring R] [OrderedAddCommMonoid M] [SMulWithZero R M] :
-  Prop where
+    Prop where
   smul_lt_smul_of_pos : ∀ {a b : M}, ∀ {c : R}, a < b → 0 < c → c • a < c • b
   lt_of_smul_lt_smul_of_pos : ∀ {a b : M}, ∀ {c : R}, c • a < c • b → 0 < c → a < b
 #align ordered_smul OrderedSMul
@@ -123,7 +123,7 @@ theorem eq_of_smul_eq_smul_of_pos_of_le (h₁ : c • a = c • b) (hc : 0 < c)
 
 theorem lt_of_smul_lt_smul_of_nonneg (h : c • a < c • b) (hc : 0 ≤ c) : a < b :=
   hc.eq_or_lt.elim
-    (fun hc => False.elim <| lt_irrefl (0 : M) <| by rwa [← hc, zero_smul, zero_smul] at h)
+    (fun hc => False.elim <| lt_irrefl (0 : M) <| by rwa [← hc, zero_smul, zero_smul] at h )
     (OrderedSMul.lt_of_smul_lt_smul_of_pos h)
 #align lt_of_smul_lt_smul_of_nonneg lt_of_smul_lt_smul_of_nonneg
 
@@ -192,7 +192,7 @@ instance Nat.orderedSMul [LinearOrderedCancelAddCommMonoid M] : OrderedSMul ℕ
 instance Int.orderedSMul [LinearOrderedAddCommGroup M] : OrderedSMul ℤ M :=
   OrderedSMul.mk'' fun n hn => by
     cases n
-    · simp only [Int.ofNat_eq_coe, Int.coe_nat_pos, coe_nat_zsmul] at hn⊢
+    · simp only [Int.ofNat_eq_coe, Int.coe_nat_pos, coe_nat_zsmul] at hn ⊢
       exact strictMono_smul_left hn
     · cases (Int.negSucc_not_pos _).1 hn
 #align int.ordered_smul Int.orderedSMul
@@ -221,7 +221,7 @@ theorem OrderedSMul.mk' (h : ∀ ⦃a b : M⦄ ⦃c : 𝕜⦄, a < b → 0 < c 
     refine' fun a b c hab hc => (h hab hc).lt_of_ne _
     rw [Ne.def, hc.ne'.is_unit.smul_left_cancel]
     exact hab.ne
-  refine' { smul_lt_smul_of_pos := hlt'.. }
+  refine' { smul_lt_smul_of_pos := hlt' .. }
   intro a b c hab hc
   obtain ⟨c, rfl⟩ := hc.ne'.is_unit
   rw [← inv_smul_smul c a, ← inv_smul_smul c b]

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

@@ -46,7 +46,7 @@ ordered module, ordered scalar, ordered smul, ordered action, ordered vector spa
 -/
 
 
-open Pointwise
+open scoped Pointwise
 
 /-- The ordered scalar product property is when an ordered additive commutative monoid
 with a partial order has a scalar multiplication which is compatible with the order.

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

@@ -48,12 +48,6 @@ ordered module, ordered scalar, ordered smul, ordered action, ordered vector spa
 
 open Pointwise
 
-/- warning: ordered_smul -> OrderedSMul is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))], Prop
-but is expected to have type
-  forall (R : Type.{u1}) (M : Type.{u2}) [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))], Prop
-Case conversion may be inaccurate. Consider using '#align ordered_smul OrderedSMulₓ'. -/
 /-- The ordered scalar product property is when an ordered additive commutative monoid
 with a partial order has a scalar multiplication which is compatible with the order.
 -/
@@ -99,22 +93,10 @@ section OrderedSMul
 variable [OrderedSemiring R] [OrderedAddCommMonoid M] [SMulWithZero R M] [OrderedSMul R M]
   {s : Set M} {a b : M} {c : R}
 
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-but is expected to have type
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedSemiring.toPartialOrder.{u1} R _inst_1))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) c) -> (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_3))) c a) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_3))) c b))
-Case conversion may be inaccurate. Consider using '#align smul_lt_smul_of_pos smul_lt_smul_of_posₓ'. -/
 theorem smul_lt_smul_of_pos : a < b → 0 < c → c • a < c • b :=
   OrderedSMul.smul_lt_smul_of_pos
 #align smul_lt_smul_of_pos smul_lt_smul_of_pos
 
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-Case conversion may be inaccurate. Consider using '#align smul_le_smul_of_nonneg smul_le_smul_of_nonnegₓ'. -/
 theorem smul_le_smul_of_nonneg (h₁ : a ≤ b) (h₂ : 0 ≤ c) : c • a ≤ c • b :=
   by
   rcases h₁.eq_or_lt with (rfl | hab)
@@ -124,12 +106,6 @@ theorem smul_le_smul_of_nonneg (h₁ : a ≤ b) (h₂ : 0 ≤ c) : c • a ≤ c
     · exact (smul_lt_smul_of_pos hab hc).le
 #align smul_le_smul_of_nonneg smul_le_smul_of_nonneg
 
-/- warning: smul_nonneg -> smul_nonneg is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align smul_nonneg smul_nonnegₓ'. -/
 theorem smul_nonneg (hc : 0 ≤ c) (ha : 0 ≤ a) : 0 ≤ c • a :=
   calc
     (0 : M) = c • (0 : M) := (smul_zero c).symm
@@ -137,54 +113,24 @@ theorem smul_nonneg (hc : 0 ≤ c) (ha : 0 ≤ a) : 0 ≤ c • a :=
     
 #align smul_nonneg smul_nonneg
 
-/- warning: smul_nonpos_of_nonneg_of_nonpos -> smul_nonpos_of_nonneg_of_nonpos is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {c : R}, (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))))))) -> (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))))))
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-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} R] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_3 : SMulWithZero.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_4 : OrderedSMul.{u2, u1} R M _inst_1 _inst_2 _inst_3] {a : M} {c : R}, (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedSemiring.toPartialOrder.{u2} R _inst_1))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))))) c) -> (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) a (OfNat.ofNat.{u1} M 0 (Zero.toOfNat0.{u1} M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))))) -> (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3))) c a) (OfNat.ofNat.{u1} M 0 (Zero.toOfNat0.{u1} M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))))))
-Case conversion may be inaccurate. Consider using '#align smul_nonpos_of_nonneg_of_nonpos smul_nonpos_of_nonneg_of_nonposₓ'. -/
 theorem smul_nonpos_of_nonneg_of_nonpos (hc : 0 ≤ c) (ha : a ≤ 0) : c • a ≤ 0 :=
   @smul_nonneg R Mᵒᵈ _ _ _ _ _ _ hc ha
 #align smul_nonpos_of_nonneg_of_nonpos smul_nonpos_of_nonneg_of_nonpos
 
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-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (Eq.{succ u2} M (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c b)) -> (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b) -> (Eq.{succ u2} M a b)
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-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (Eq.{succ u2} M (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_3))) c a) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_3))) c b)) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedSemiring.toPartialOrder.{u1} R _inst_1))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) c) -> (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b) -> (Eq.{succ u2} M a b)
-Case conversion may be inaccurate. Consider using '#align eq_of_smul_eq_smul_of_pos_of_le eq_of_smul_eq_smul_of_pos_of_leₓ'. -/
 theorem eq_of_smul_eq_smul_of_pos_of_le (h₁ : c • a = c • b) (hc : 0 < c) (hle : a ≤ b) : a = b :=
   hle.lt_or_eq.resolve_left fun hlt => (smul_lt_smul_of_pos hlt hc).Ne h₁
 #align eq_of_smul_eq_smul_of_pos_of_le eq_of_smul_eq_smul_of_pos_of_le
 
-/- warning: lt_of_smul_lt_smul_of_nonneg -> lt_of_smul_lt_smul_of_nonneg is a dubious translation:
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-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c b)) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b)
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-Case conversion may be inaccurate. Consider using '#align lt_of_smul_lt_smul_of_nonneg lt_of_smul_lt_smul_of_nonnegₓ'. -/
 theorem lt_of_smul_lt_smul_of_nonneg (h : c • a < c • b) (hc : 0 ≤ c) : a < b :=
   hc.eq_or_lt.elim
     (fun hc => False.elim <| lt_irrefl (0 : M) <| by rwa [← hc, zero_smul, zero_smul] at h)
     (OrderedSMul.lt_of_smul_lt_smul_of_pos h)
 #align lt_of_smul_lt_smul_of_nonneg lt_of_smul_lt_smul_of_nonneg
 
-/- warning: smul_lt_smul_iff_of_pos -> smul_lt_smul_iff_of_pos is a dubious translation:
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-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (Iff (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c b)) (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b))
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-Case conversion may be inaccurate. Consider using '#align smul_lt_smul_iff_of_pos smul_lt_smul_iff_of_posₓ'. -/
 theorem smul_lt_smul_iff_of_pos (hc : 0 < c) : c • a < c • b ↔ a < b :=
   ⟨fun h => lt_of_smul_lt_smul_of_nonneg h hc.le, fun h => smul_lt_smul_of_pos h hc⟩
 #align smul_lt_smul_iff_of_pos smul_lt_smul_iff_of_pos
 
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-Case conversion may be inaccurate. Consider using '#align smul_pos_iff_of_pos smul_pos_iff_of_posₓ'. -/
 theorem smul_pos_iff_of_pos (hc : 0 < c) : 0 < c • a ↔ 0 < a :=
   calc
     0 < c • a ↔ c • 0 < c • a := by rw [smul_zero]
@@ -192,85 +138,37 @@ theorem smul_pos_iff_of_pos (hc : 0 < c) : 0 < c • a ↔ 0 < a :=
     
 #align smul_pos_iff_of_pos smul_pos_iff_of_pos
 
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-Case conversion may be inaccurate. Consider using '#align smul_pos smul_posₓ'. -/
 alias smul_pos_iff_of_pos ↔ _ smul_pos
 #align smul_pos smul_pos
 
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-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {c : R}, (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (Monotone.{u2, u2} M M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c))
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-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} R] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_3 : SMulWithZero.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_4 : OrderedSMul.{u2, u1} R M _inst_1 _inst_2 _inst_3] {c : R}, (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedSemiring.toPartialOrder.{u2} R _inst_1))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))))) c) -> (Monotone.{u1, u1} M M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (SMul.smul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3)) c))
-Case conversion may be inaccurate. Consider using '#align monotone_smul_left monotone_smul_leftₓ'. -/
 theorem monotone_smul_left (hc : 0 ≤ c) : Monotone (SMul.smul c : M → M) := fun a b h =>
   smul_le_smul_of_nonneg h hc
 #align monotone_smul_left monotone_smul_left
 
-/- warning: strict_mono_smul_left -> strictMono_smul_left is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {c : R}, (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (StrictMono.{u2, u2} M M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c))
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-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} R] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_3 : SMulWithZero.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_4 : OrderedSMul.{u2, u1} R M _inst_1 _inst_2 _inst_3] {c : R}, (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedSemiring.toPartialOrder.{u2} R _inst_1))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))))) c) -> (StrictMono.{u1, u1} M M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (SMul.smul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3)) c))
-Case conversion may be inaccurate. Consider using '#align strict_mono_smul_left strictMono_smul_leftₓ'. -/
 theorem strictMono_smul_left (hc : 0 < c) : StrictMono (SMul.smul c : M → M) := fun a b h =>
   smul_lt_smul_of_pos h hc
 #align strict_mono_smul_left strictMono_smul_left
 
-/- warning: smul_lower_bounds_subset_lower_bounds_smul -> smul_lowerBounds_subset_lowerBounds_smul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {s : Set.{u2} M} {c : R}, (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (HasSubset.Subset.{u2} (Set.{u2} M) (Set.hasSubset.{u2} M) (SMul.smul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3))) c (lowerBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s)) (lowerBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3))) c s)))
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-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} R] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_3 : SMulWithZero.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_4 : OrderedSMul.{u2, u1} R M _inst_1 _inst_2 _inst_3] {s : Set.{u1} M} {c : R}, (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedSemiring.toPartialOrder.{u2} R _inst_1))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))))) c) -> (HasSubset.Subset.{u1} (Set.{u1} M) (Set.instHasSubsetSet.{u1} M) (HSMul.hSMul.{u2, u1, u1} R (Set.{u1} M) (Set.{u1} M) (instHSMul.{u2, u1} R (Set.{u1} M) (Set.smulSet.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3)))) c (lowerBounds.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) s)) (lowerBounds.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (HSMul.hSMul.{u2, u1, u1} R (Set.{u1} M) (Set.{u1} M) (instHSMul.{u2, u1} R (Set.{u1} M) (Set.smulSet.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3)))) c s)))
-Case conversion may be inaccurate. Consider using '#align smul_lower_bounds_subset_lower_bounds_smul smul_lowerBounds_subset_lowerBounds_smulₓ'. -/
 theorem smul_lowerBounds_subset_lowerBounds_smul (hc : 0 ≤ c) :
     c • lowerBounds s ⊆ lowerBounds (c • s) :=
   (monotone_smul_left hc).image_lowerBounds_subset_lowerBounds_image
 #align smul_lower_bounds_subset_lower_bounds_smul smul_lowerBounds_subset_lowerBounds_smul
 
-/- warning: smul_upper_bounds_subset_upper_bounds_smul -> smul_upperBounds_subset_upperBounds_smul is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {s : Set.{u2} M} {c : R}, (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (HasSubset.Subset.{u2} (Set.{u2} M) (Set.hasSubset.{u2} M) (SMul.smul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3))) c (upperBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s)) (upperBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3))) c s)))
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-Case conversion may be inaccurate. Consider using '#align smul_upper_bounds_subset_upper_bounds_smul smul_upperBounds_subset_upperBounds_smulₓ'. -/
 theorem smul_upperBounds_subset_upperBounds_smul (hc : 0 ≤ c) :
     c • upperBounds s ⊆ upperBounds (c • s) :=
   (monotone_smul_left hc).image_upperBounds_subset_upperBounds_image
 #align smul_upper_bounds_subset_upper_bounds_smul smul_upperBounds_subset_upperBounds_smul
 
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-Case conversion may be inaccurate. Consider using '#align bdd_below.smul_of_nonneg BddBelow.smul_of_nonnegₓ'. -/
 theorem BddBelow.smul_of_nonneg (hs : BddBelow s) (hc : 0 ≤ c) : BddBelow (c • s) :=
   (monotone_smul_left hc).map_bddBelow hs
 #align bdd_below.smul_of_nonneg BddBelow.smul_of_nonneg
 
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-Case conversion may be inaccurate. Consider using '#align bdd_above.smul_of_nonneg BddAbove.smul_of_nonnegₓ'. -/
 theorem BddAbove.smul_of_nonneg (hs : BddAbove s) (hc : 0 ≤ c) : BddAbove (c • s) :=
   (monotone_smul_left hc).map_bddAbove hs
 #align bdd_above.smul_of_nonneg BddAbove.smul_of_nonneg
 
 end OrderedSMul
 
-/- warning: ordered_smul.mk'' -> OrderedSMul.mk'' is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align ordered_smul.mk'' OrderedSMul.mk''ₓ'. -/
 /-- To prove that a linear ordered monoid is an ordered module, it suffices to verify only the first
 axiom of `ordered_smul`. -/
 theorem OrderedSMul.mk'' [OrderedSemiring 𝕜] [LinearOrderedAddCommMonoid M] [SMulWithZero 𝕜 M]
@@ -313,12 +211,6 @@ section LinearOrderedSemifield
 variable [LinearOrderedSemifield 𝕜] [OrderedAddCommMonoid M] [OrderedAddCommMonoid N]
   [MulActionWithZero 𝕜 M] [MulActionWithZero 𝕜 N]
 
-/- warning: ordered_smul.mk' -> OrderedSMul.mk' is a dubious translation:
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-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))], (forall {{a : M}} {{b : M}} {{c : 𝕜}}, (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))) c) -> (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (HSMul.hSMul.{u1, u2, u2} 𝕜 M M (instHSMul.{u1, u2} 𝕜 M (SMulZeroClass.toSMul.{u1, u2} 𝕜 M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 M (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_4)))) c a) (HSMul.hSMul.{u1, u2, u2} 𝕜 M M (instHSMul.{u1, u2} 𝕜 M (SMulZeroClass.toSMul.{u1, u2} 𝕜 M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 M (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_4)))) c b))) -> (OrderedSMul.{u1, u2} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_4))
-Case conversion may be inaccurate. Consider using '#align ordered_smul.mk' OrderedSMul.mk'ₓ'. -/
 /-- To prove that a vector space over a linear ordered field is ordered, it suffices to verify only
 the first axiom of `ordered_smul`. -/
 theorem OrderedSMul.mk' (h : ∀ ⦃a b : M⦄ ⦃c : 𝕜⦄, a < b → 0 < c → c • a ≤ c • b) :
@@ -341,35 +233,17 @@ instance [OrderedSMul 𝕜 M] [OrderedSMul 𝕜 N] : OrderedSMul 𝕜 (M × N) :
   OrderedSMul.mk' fun a b c h hc =>
     ⟨smul_le_smul_of_nonneg h.1.1 hc.le, smul_le_smul_of_nonneg h.1.2 hc.le⟩
 
-/- warning: pi.ordered_smul -> Pi.orderedSMul is a dubious translation:
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-  forall {ι : Type.{u1}} {𝕜 : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] {M : ι -> Type.{u3}} [_inst_6 : forall (i : ι), OrderedAddCommMonoid.{u3} (M i)] [_inst_7 : forall (i : ι), MulActionWithZero.{u2, u3} 𝕜 (M i) (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u3} (M i) (AddMonoid.toAddZeroClass.{u3} (M i) (AddCommMonoid.toAddMonoid.{u3} (M i) (OrderedAddCommMonoid.toAddCommMonoid.{u3} (M i) (_inst_6 i)))))] [_inst_8 : forall (i : ι), OrderedSMul.{u2, u3} 𝕜 (M i) (StrictOrderedSemiring.toOrderedSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) (_inst_6 i) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 (M i) (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u3} (M i) (AddMonoid.toAddZeroClass.{u3} (M i) (AddCommMonoid.toAddMonoid.{u3} (M i) (OrderedAddCommMonoid.toAddCommMonoid.{u3} (M i) (_inst_6 i))))) (_inst_7 i))], OrderedSMul.{u2, max u1 u3} 𝕜 (forall (i : ι), M i) (StrictOrderedSemiring.toOrderedSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) (Pi.orderedAddCommMonoid.{u1, u3} ι (fun (i : ι) => M i) (fun (i : ι) => _inst_6 i)) (MulActionWithZero.toSMulWithZero.{u2, max u1 u3} 𝕜 (forall (i : ι), M i) (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{max u1 u3} (forall (i : ι), M i) (AddMonoid.toAddZeroClass.{max u1 u3} (forall (i : ι), M i) (AddCommMonoid.toAddMonoid.{max u1 u3} (forall (i : ι), M i) (OrderedAddCommMonoid.toAddCommMonoid.{max u1 u3} (forall (i : ι), M i) (Pi.orderedAddCommMonoid.{u1, u3} ι (fun (i : ι) => M i) (fun (i : ι) => _inst_6 i)))))) (Pi.mulActionWithZero.{u1, u3, u2} ι (fun (i : ι) => M i) 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (fun (_x : ι) => AddZeroClass.toHasZero.{u3} ((fun (i : ι) => (fun (i : ι) => M i) i) _x) (AddMonoid.toAddZeroClass.{u3} ((fun (i : ι) => (fun (i : ι) => M i) i) _x) (AddCommMonoid.toAddMonoid.{u3} ((fun (i : ι) => (fun (i : ι) => M i) i) _x) ((fun (i : ι) => OrderedAddCommMonoid.toAddCommMonoid.{u3} ((fun (i : ι) => M i) i) ((fun (i : ι) => _inst_6 i) i)) _x)))) (fun (i : ι) => _inst_7 i)))
-but is expected to have type
-  forall {ι : Type.{u1}} {𝕜 : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] {M : ι -> Type.{u3}} [_inst_6 : forall (i : ι), OrderedAddCommMonoid.{u3} (M i)] [_inst_7 : forall (i : ι), MulActionWithZero.{u2, u3} 𝕜 (M i) (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u3} (M i) (AddCommMonoid.toAddMonoid.{u3} (M i) (OrderedAddCommMonoid.toAddCommMonoid.{u3} (M i) (_inst_6 i))))] [_inst_8 : forall (i : ι), OrderedSMul.{u2, u3} 𝕜 (M i) (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) (_inst_6 i) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 (M i) (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u3} (M i) (AddCommMonoid.toAddMonoid.{u3} (M i) (OrderedAddCommMonoid.toAddCommMonoid.{u3} (M i) (_inst_6 i)))) (_inst_7 i))], OrderedSMul.{u2, max u1 u3} 𝕜 (forall (i : ι), M i) (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) (Pi.orderedAddCommMonoid.{u1, u3} ι (fun (i : ι) => M i) (fun (i : ι) => _inst_6 i)) (Pi.smulWithZero.{u1, u3, u2} ι (fun (i : ι) => M i) 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))))) (fun (x._@.Mathlib.Data.Pi.Algebra._hyg.111 : ι) => AddZeroClass.toZero.{u3} ((fun (i : ι) => (fun (i : ι) => (fun (i : ι) => (fun (i : ι) => M i) i) i) i) x._@.Mathlib.Data.Pi.Algebra._hyg.111) ((fun (i : ι) => AddMonoid.toAddZeroClass.{u3} ((fun (i : ι) => (fun (i : ι) => (fun (i : ι) => M i) i) i) i) ((fun (i : ι) => AddCommMonoid.toAddMonoid.{u3} ((fun (i : ι) => (fun (i : ι) => M i) i) i) ((fun (i : ι) => OrderedAddCommMonoid.toAddCommMonoid.{u3} ((fun (i : ι) => M i) i) ((fun (i : ι) => _inst_6 i) i)) i)) i)) x._@.Mathlib.Data.Pi.Algebra._hyg.111)) (fun (i : ι) => MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 (M i) (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u3} (M i) (AddCommMonoid.toAddMonoid.{u3} (M i) (OrderedAddCommMonoid.toAddCommMonoid.{u3} (M i) (_inst_6 i)))) (_inst_7 i)))
-Case conversion may be inaccurate. Consider using '#align pi.ordered_smul Pi.orderedSMulₓ'. -/
 instance Pi.orderedSMul {M : ι → Type _} [∀ i, OrderedAddCommMonoid (M i)]
     [∀ i, MulActionWithZero 𝕜 (M i)] [∀ i, OrderedSMul 𝕜 (M i)] : OrderedSMul 𝕜 (∀ i, M i) :=
   OrderedSMul.mk' fun v u c h hc i => smul_le_smul_of_nonneg (h.le i) hc.le
 #align pi.ordered_smul Pi.orderedSMul
 
-/- warning: pi.ordered_smul' -> Pi.orderedSMul' is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u1}} {𝕜 : Type.{u2}} {M : Type.{u3}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u3} M] [_inst_4 : MulActionWithZero.{u2, u3} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M _inst_2))))] [_inst_6 : OrderedSMul.{u2, u3} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M _inst_2)))) _inst_4)], OrderedSMul.{u2, max u1 u3} 𝕜 (ι -> M) (StrictOrderedSemiring.toOrderedSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) (Pi.orderedAddCommMonoid.{u1, u3} ι (fun (ᾰ : ι) => M) (fun (i : ι) => _inst_2)) (MulActionWithZero.toSMulWithZero.{u2, max u1 u3} 𝕜 (ι -> M) (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{max u1 u3} (ι -> M) (AddMonoid.toAddZeroClass.{max u1 u3} (ι -> M) (AddCommMonoid.toAddMonoid.{max u1 u3} (ι -> M) (OrderedAddCommMonoid.toAddCommMonoid.{max u1 u3} (ι -> M) (Pi.orderedAddCommMonoid.{u1, u3} ι (fun (ᾰ : ι) => M) (fun (i : ι) => _inst_2)))))) (Pi.mulActionWithZero.{u1, u3, u2} ι (fun (ᾰ : ι) => M) 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (fun (_x : ι) => AddZeroClass.toHasZero.{u3} ((fun (i : ι) => (fun (ᾰ : ι) => M) i) _x) (AddMonoid.toAddZeroClass.{u3} ((fun (i : ι) => (fun (ᾰ : ι) => M) i) _x) (AddCommMonoid.toAddMonoid.{u3} ((fun (i : ι) => (fun (ᾰ : ι) => M) i) _x) ((fun (i : ι) => OrderedAddCommMonoid.toAddCommMonoid.{u3} ((fun (ᾰ : ι) => M) i) ((fun (i : ι) => _inst_2) i)) _x)))) (fun (i : ι) => _inst_4)))
-but is expected to have type
-  forall {ι : Type.{u1}} {𝕜 : Type.{u2}} {M : Type.{u3}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u3} M] [_inst_4 : MulActionWithZero.{u2, u3} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u3} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M _inst_2))) _inst_4)], OrderedSMul.{u2, max u1 u3} 𝕜 (ι -> M) (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) (Pi.orderedAddCommMonoid.{u1, u3} ι (fun (ᾰ : ι) => M) (fun (i : ι) => _inst_2)) (Pi.smulWithZero.{u1, u3, u2} ι (fun (a._@.Mathlib.Algebra.Order.SMul._hyg.2033 : ι) => M) 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))))) (fun (x._@.Mathlib.Data.Pi.Algebra._hyg.111 : ι) => AddZeroClass.toZero.{u3} ((fun (i : ι) => (fun (i : ι) => (fun (i : ι) => (fun (a._@.Mathlib.Algebra.Order.SMul._hyg.2033 : ι) => M) i) i) i) x._@.Mathlib.Data.Pi.Algebra._hyg.111) ((fun (i : ι) => AddMonoid.toAddZeroClass.{u3} ((fun (i : ι) => (fun (i : ι) => (fun (a._@.Mathlib.Algebra.Order.SMul._hyg.2033 : ι) => M) i) i) i) ((fun (i : ι) => AddCommMonoid.toAddMonoid.{u3} ((fun (i : ι) => (fun (a._@.Mathlib.Algebra.Order.SMul._hyg.2033 : ι) => M) i) i) ((fun (i : ι) => OrderedAddCommMonoid.toAddCommMonoid.{u3} ((fun (a._@.Mathlib.Algebra.Order.SMul._hyg.2033 : ι) => M) i) ((fun (i : ι) => _inst_2) i)) i)) i)) x._@.Mathlib.Data.Pi.Algebra._hyg.111)) (fun (i : ι) => MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M (OrderedAddCommMonoid.toAddCommMonoid.{u3} M _inst_2))) _inst_4))
-Case conversion may be inaccurate. Consider using '#align pi.ordered_smul' Pi.orderedSMul'ₓ'. -/
 /- Sometimes Lean fails to apply the dependent version to non-dependent functions, so we define
 another instance. -/
 instance Pi.orderedSMul' [OrderedSMul 𝕜 M] : OrderedSMul 𝕜 (ι → M) :=
   Pi.orderedSMul
 #align pi.ordered_smul' Pi.orderedSMul'
 
-/- warning: pi.ordered_smul'' -> Pi.orderedSMul'' is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u1}} {𝕜 : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜], OrderedSMul.{u2, max u1 u2} 𝕜 (ι -> 𝕜) (StrictOrderedSemiring.toOrderedSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) (Pi.orderedAddCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => OrderedSemiring.toOrderedAddCommMonoid.{u2} 𝕜 (StrictOrderedSemiring.toOrderedSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (Pi.smulWithZero.{u1, u2, u2} ι (fun (ᾰ : ι) => 𝕜) 𝕜 (MulZeroClass.toHasZero.{u2} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (StrictOrderedSemiring.toOrderedSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))))))) (fun (_x : ι) => AddZeroClass.toHasZero.{u2} ((fun (i : ι) => (fun (ᾰ : ι) => 𝕜) i) _x) (AddMonoid.toAddZeroClass.{u2} ((fun (i : ι) => (fun (ᾰ : ι) => 𝕜) i) _x) (AddCommMonoid.toAddMonoid.{u2} ((fun (i : ι) => (fun (ᾰ : ι) => 𝕜) i) _x) ((fun (i : ι) => OrderedAddCommMonoid.toAddCommMonoid.{u2} ((fun (ᾰ : ι) => 𝕜) i) ((fun (i : ι) => OrderedSemiring.toOrderedAddCommMonoid.{u2} 𝕜 (StrictOrderedSemiring.toOrderedSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) i)) _x)))) (fun (i : ι) => MulZeroClass.toSMulWithZero.{u2} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (StrictOrderedSemiring.toOrderedSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))))))))
-but is expected to have type
-  forall {ι : Type.{u1}} {𝕜 : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜], OrderedSMul.{u2, max u1 u2} 𝕜 (ι -> 𝕜) (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) (Pi.orderedAddCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => OrderedSemiring.toOrderedAddCommMonoid.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (Pi.smulWithZero.{u1, u2, u2} ι (fun (ᾰ : ι) => 𝕜) 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))))) (fun (_x : ι) => AddZeroClass.toZero.{u2} ((fun (i : ι) => (fun (ᾰ : ι) => (fun (i : ι) => (fun (a._@.Mathlib.Algebra.Order.SMul._hyg.2069 : ι) => 𝕜) i) ᾰ) i) _x) ((fun (i : ι) => AddMonoid.toAddZeroClass.{u2} ((fun (i : ι) => (fun (i : ι) => (fun (a._@.Mathlib.Algebra.Order.SMul._hyg.2069 : ι) => 𝕜) i) i) i) ((fun (i : ι) => AddCommMonoid.toAddMonoid.{u2} ((fun (i : ι) => (fun (a._@.Mathlib.Algebra.Order.SMul._hyg.2069 : ι) => 𝕜) i) i) ((fun (i : ι) => OrderedAddCommMonoid.toAddCommMonoid.{u2} ((fun (a._@.Mathlib.Algebra.Order.SMul._hyg.2069 : ι) => 𝕜) i) ((fun (i : ι) => OrderedSemiring.toOrderedAddCommMonoid.{u2} 𝕜 (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) i)) i)) i)) _x)) (fun (i : ι) => MulZeroClass.toSMulWithZero.{u2} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))))))
-Case conversion may be inaccurate. Consider using '#align pi.ordered_smul'' Pi.orderedSMul''ₓ'. -/
 -- Sometimes Lean fails to unify the module with the scalars, so we define another instance.
 instance Pi.orderedSMul'' : OrderedSMul 𝕜 (ι → 𝕜) :=
   @Pi.orderedSMul' ι 𝕜 𝕜 _ _ _ _
@@ -377,12 +251,6 @@ instance Pi.orderedSMul'' : OrderedSMul 𝕜 (ι → 𝕜) :=
 
 variable [OrderedSMul 𝕜 M] {s : Set M} {a b : M} {c : 𝕜}
 
-/- warning: smul_le_smul_iff_of_pos -> smul_le_smul_iff_of_pos is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c a) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c b)) (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Iff (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) c a) (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) c b)) (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) a b))
-Case conversion may be inaccurate. Consider using '#align smul_le_smul_iff_of_pos smul_le_smul_iff_of_posₓ'. -/
 theorem smul_le_smul_iff_of_pos (hc : 0 < c) : c • a ≤ c • b ↔ a ≤ b :=
   ⟨fun h =>
     inv_smul_smul₀ hc.ne' a ▸
@@ -390,54 +258,24 @@ theorem smul_le_smul_iff_of_pos (hc : 0 < c) : c • a ≤ c • b ↔ a ≤ b :
     fun h => smul_le_smul_of_nonneg h hc.le⟩
 #align smul_le_smul_iff_of_pos smul_le_smul_iff_of_pos
 
-/- warning: inv_smul_le_iff -> inv_smul_le_iff is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (GroupWithZero.toDivInvMonoid.{u1} 𝕜 (DivisionSemiring.toGroupWithZero.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))) c) a) b) (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c b)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Iff (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) (Inv.inv.{u2} 𝕜 (LinearOrderedSemifield.toInv.{u2} 𝕜 _inst_1) c) a) b) (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) a (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) c b)))
-Case conversion may be inaccurate. Consider using '#align inv_smul_le_iff inv_smul_le_iffₓ'. -/
 theorem inv_smul_le_iff (h : 0 < c) : c⁻¹ • a ≤ b ↔ a ≤ c • b := by
   rw [← smul_le_smul_iff_of_pos h, smul_inv_smul₀ h.ne']; infer_instance
 #align inv_smul_le_iff inv_smul_le_iff
 
-/- warning: inv_smul_lt_iff -> inv_smul_lt_iff is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (GroupWithZero.toDivInvMonoid.{u1} 𝕜 (DivisionSemiring.toGroupWithZero.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))) c) a) b) (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c b)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Iff (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) (Inv.inv.{u2} 𝕜 (LinearOrderedSemifield.toInv.{u2} 𝕜 _inst_1) c) a) b) (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) a (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) c b)))
-Case conversion may be inaccurate. Consider using '#align inv_smul_lt_iff inv_smul_lt_iffₓ'. -/
 theorem inv_smul_lt_iff (h : 0 < c) : c⁻¹ • a < b ↔ a < c • b := by
   rw [← smul_lt_smul_iff_of_pos h, smul_inv_smul₀ h.ne']; infer_instance
 #align inv_smul_lt_iff inv_smul_lt_iff
 
-/- warning: le_inv_smul_iff -> le_inv_smul_iff is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (GroupWithZero.toDivInvMonoid.{u1} 𝕜 (DivisionSemiring.toGroupWithZero.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))) c) b)) (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c a) b))
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-  forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Iff (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) a (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) (Inv.inv.{u2} 𝕜 (LinearOrderedSemifield.toInv.{u2} 𝕜 _inst_1) c) b)) (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) c a) b))
-Case conversion may be inaccurate. Consider using '#align le_inv_smul_iff le_inv_smul_iffₓ'. -/
 theorem le_inv_smul_iff (h : 0 < c) : a ≤ c⁻¹ • b ↔ c • a ≤ b := by
   rw [← smul_le_smul_iff_of_pos h, smul_inv_smul₀ h.ne']; infer_instance
 #align le_inv_smul_iff le_inv_smul_iff
 
-/- warning: lt_inv_smul_iff -> lt_inv_smul_iff is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (GroupWithZero.toDivInvMonoid.{u1} 𝕜 (DivisionSemiring.toGroupWithZero.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))) c) b)) (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c a) b))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Iff (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) a (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) (Inv.inv.{u2} 𝕜 (LinearOrderedSemifield.toInv.{u2} 𝕜 _inst_1) c) b)) (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) c a) b))
-Case conversion may be inaccurate. Consider using '#align lt_inv_smul_iff lt_inv_smul_iffₓ'. -/
 theorem lt_inv_smul_iff (h : 0 < c) : a < c⁻¹ • b ↔ c • a < b := by
   rw [← smul_lt_smul_iff_of_pos h, smul_inv_smul₀ h.ne']; infer_instance
 #align lt_inv_smul_iff lt_inv_smul_iff
 
 variable (M)
 
-/- warning: order_iso.smul_left -> OrderIso.smulLeft is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} (M : Type.{u2}) [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (OrderIso.{u2, u2} M M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} (M : Type.{u2}) [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_4)] {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))) c) -> (OrderIso.{u2, u2} M M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))))
-Case conversion may be inaccurate. Consider using '#align order_iso.smul_left OrderIso.smulLeftₓ'. -/
 /-- Left scalar multiplication as an order isomorphism. -/
 @[simps]
 def OrderIso.smulLeft (hc : 0 < c) : M ≃o M
@@ -451,45 +289,21 @@ def OrderIso.smulLeft (hc : 0 < c) : M ≃o M
 
 variable {M}
 
-/- warning: lower_bounds_smul_of_pos -> lowerBounds_smul_of_pos is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {s : Set.{u2} M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Eq.{succ u2} (Set.{u2} M) (lowerBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} M) (Set.smulSet.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)))) c s)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} M) (Set.smulSet.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)))) c (lowerBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s)))
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-  forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {s : Set.{u1} M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Eq.{succ u1} (Set.{u1} M) (lowerBounds.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} M) (Set.{u1} M) (instHSMul.{u2, u1} 𝕜 (Set.{u1} M) (Set.smulSet.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4))))) c s)) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} M) (Set.{u1} M) (instHSMul.{u2, u1} 𝕜 (Set.{u1} M) (Set.smulSet.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4))))) c (lowerBounds.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) s)))
-Case conversion may be inaccurate. Consider using '#align lower_bounds_smul_of_pos lowerBounds_smul_of_posₓ'. -/
 @[simp]
 theorem lowerBounds_smul_of_pos (hc : 0 < c) : lowerBounds (c • s) = c • lowerBounds s :=
   (OrderIso.smulLeft _ hc).lowerBounds_image
 #align lower_bounds_smul_of_pos lowerBounds_smul_of_pos
 
-/- warning: upper_bounds_smul_of_pos -> upperBounds_smul_of_pos is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {s : Set.{u2} M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Eq.{succ u2} (Set.{u2} M) (upperBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} M) (Set.smulSet.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)))) c s)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} M) (Set.smulSet.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)))) c (upperBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s)))
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-  forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {s : Set.{u1} M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Eq.{succ u1} (Set.{u1} M) (upperBounds.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} M) (Set.{u1} M) (instHSMul.{u2, u1} 𝕜 (Set.{u1} M) (Set.smulSet.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4))))) c s)) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} M) (Set.{u1} M) (instHSMul.{u2, u1} 𝕜 (Set.{u1} M) (Set.smulSet.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4))))) c (upperBounds.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) s)))
-Case conversion may be inaccurate. Consider using '#align upper_bounds_smul_of_pos upperBounds_smul_of_posₓ'. -/
 @[simp]
 theorem upperBounds_smul_of_pos (hc : 0 < c) : upperBounds (c • s) = c • upperBounds s :=
   (OrderIso.smulLeft _ hc).upperBounds_image
 #align upper_bounds_smul_of_pos upperBounds_smul_of_pos
 
-/- warning: bdd_below_smul_iff_of_pos -> bddBelow_smul_iff_of_pos is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align bdd_below_smul_iff_of_pos bddBelow_smul_iff_of_posₓ'. -/
 @[simp]
 theorem bddBelow_smul_iff_of_pos (hc : 0 < c) : BddBelow (c • s) ↔ BddBelow s :=
   (OrderIso.smulLeft _ hc).bddBelow_image
 #align bdd_below_smul_iff_of_pos bddBelow_smul_iff_of_pos
 
-/- warning: bdd_above_smul_iff_of_pos -> bddAbove_smul_iff_of_pos is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {s : Set.{u2} M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (BddAbove.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} M) (Set.smulSet.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)))) c s)) (BddAbove.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {s : Set.{u1} M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Iff (BddAbove.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} M) (Set.{u1} M) (instHSMul.{u2, u1} 𝕜 (Set.{u1} M) (Set.smulSet.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4))))) c s)) (BddAbove.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) s))
-Case conversion may be inaccurate. Consider using '#align bdd_above_smul_iff_of_pos bddAbove_smul_iff_of_posₓ'. -/
 @[simp]
 theorem bddAbove_smul_iff_of_pos (hc : 0 < c) : BddAbove (c • s) ↔ BddAbove s :=
   (OrderIso.smulLeft _ hc).bddAbove_image

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

@@ -396,10 +396,8 @@ lean 3 declaration is
 but is expected to have type
   forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Iff (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) (Inv.inv.{u2} 𝕜 (LinearOrderedSemifield.toInv.{u2} 𝕜 _inst_1) c) a) b) (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) a (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) c b)))
 Case conversion may be inaccurate. Consider using '#align inv_smul_le_iff inv_smul_le_iffₓ'. -/
-theorem inv_smul_le_iff (h : 0 < c) : c⁻¹ • a ≤ b ↔ a ≤ c • b :=
-  by
-  rw [← smul_le_smul_iff_of_pos h, smul_inv_smul₀ h.ne']
-  infer_instance
+theorem inv_smul_le_iff (h : 0 < c) : c⁻¹ • a ≤ b ↔ a ≤ c • b := by
+  rw [← smul_le_smul_iff_of_pos h, smul_inv_smul₀ h.ne']; infer_instance
 #align inv_smul_le_iff inv_smul_le_iff
 
 /- warning: inv_smul_lt_iff -> inv_smul_lt_iff is a dubious translation:
@@ -408,10 +406,8 @@ lean 3 declaration is
 but is expected to have type
   forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Iff (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) (Inv.inv.{u2} 𝕜 (LinearOrderedSemifield.toInv.{u2} 𝕜 _inst_1) c) a) b) (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) a (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) c b)))
 Case conversion may be inaccurate. Consider using '#align inv_smul_lt_iff inv_smul_lt_iffₓ'. -/
-theorem inv_smul_lt_iff (h : 0 < c) : c⁻¹ • a < b ↔ a < c • b :=
-  by
-  rw [← smul_lt_smul_iff_of_pos h, smul_inv_smul₀ h.ne']
-  infer_instance
+theorem inv_smul_lt_iff (h : 0 < c) : c⁻¹ • a < b ↔ a < c • b := by
+  rw [← smul_lt_smul_iff_of_pos h, smul_inv_smul₀ h.ne']; infer_instance
 #align inv_smul_lt_iff inv_smul_lt_iff
 
 /- warning: le_inv_smul_iff -> le_inv_smul_iff is a dubious translation:
@@ -420,10 +416,8 @@ lean 3 declaration is
 but is expected to have type
   forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Iff (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) a (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) (Inv.inv.{u2} 𝕜 (LinearOrderedSemifield.toInv.{u2} 𝕜 _inst_1) c) b)) (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) c a) b))
 Case conversion may be inaccurate. Consider using '#align le_inv_smul_iff le_inv_smul_iffₓ'. -/
-theorem le_inv_smul_iff (h : 0 < c) : a ≤ c⁻¹ • b ↔ c • a ≤ b :=
-  by
-  rw [← smul_le_smul_iff_of_pos h, smul_inv_smul₀ h.ne']
-  infer_instance
+theorem le_inv_smul_iff (h : 0 < c) : a ≤ c⁻¹ • b ↔ c • a ≤ b := by
+  rw [← smul_le_smul_iff_of_pos h, smul_inv_smul₀ h.ne']; infer_instance
 #align le_inv_smul_iff le_inv_smul_iff
 
 /- warning: lt_inv_smul_iff -> lt_inv_smul_iff is a dubious translation:
@@ -432,10 +426,8 @@ lean 3 declaration is
 but is expected to have type
   forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Iff (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) a (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) (Inv.inv.{u2} 𝕜 (LinearOrderedSemifield.toInv.{u2} 𝕜 _inst_1) c) b)) (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) c a) b))
 Case conversion may be inaccurate. Consider using '#align lt_inv_smul_iff lt_inv_smul_iffₓ'. -/
-theorem lt_inv_smul_iff (h : 0 < c) : a < c⁻¹ • b ↔ c • a < b :=
-  by
-  rw [← smul_lt_smul_iff_of_pos h, smul_inv_smul₀ h.ne']
-  infer_instance
+theorem lt_inv_smul_iff (h : 0 < c) : a < c⁻¹ • b ↔ c • a < b := by
+  rw [← smul_lt_smul_iff_of_pos h, smul_inv_smul₀ h.ne']; infer_instance
 #align lt_inv_smul_iff lt_inv_smul_iff
 
 variable (M)

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

@@ -514,11 +514,9 @@ variable [OrderedSemiring R] [OrderedAddCommMonoid M] [SMulWithZero R M] [Ordere
 
 private theorem smul_nonneg_of_pos_of_nonneg (ha : 0 < a) (hb : 0 ≤ b) : 0 ≤ a • b :=
   smul_nonneg ha.le hb
-#align tactic.smul_nonneg_of_pos_of_nonneg tactic.smul_nonneg_of_pos_of_nonneg
 
 private theorem smul_nonneg_of_nonneg_of_pos (ha : 0 ≤ a) (hb : 0 < b) : 0 ≤ a • b :=
   smul_nonneg ha hb.le
-#align tactic.smul_nonneg_of_nonneg_of_pos tactic.smul_nonneg_of_nonneg_of_pos
 
 end OrderedSMul
 
@@ -528,11 +526,9 @@ variable [Zero R] [Zero M] [SMul R M] [NoZeroSMulDivisors R M] {a : R} {b : M}
 
 private theorem smul_ne_zero_of_pos_of_ne_zero [Preorder R] (ha : 0 < a) (hb : b ≠ 0) : a • b ≠ 0 :=
   smul_ne_zero ha.ne' hb
-#align tactic.smul_ne_zero_of_pos_of_ne_zero tactic.smul_ne_zero_of_pos_of_ne_zero
 
 private theorem smul_ne_zero_of_ne_zero_of_pos [Preorder M] (ha : a ≠ 0) (hb : 0 < b) : a • b ≠ 0 :=
   smul_ne_zero ha hb.ne'
-#align tactic.smul_ne_zero_of_ne_zero_of_pos tactic.smul_ne_zero_of_ne_zero_of_pos
 
 end NoZeroSMulDivisors
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8

@@ -101,7 +101,7 @@ variable [OrderedSemiring R] [OrderedAddCommMonoid M] [SMulWithZero R M] [Ordere
 
 /- warning: smul_lt_smul_of_pos -> smul_lt_smul_of_pos is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c b))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b) -> (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c b))
 but is expected to have type
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedSemiring.toPartialOrder.{u1} R _inst_1))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) c) -> (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_3))) c a) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_3))) c b))
 Case conversion may be inaccurate. Consider using '#align smul_lt_smul_of_pos smul_lt_smul_of_posₓ'. -/
@@ -111,7 +111,7 @@ theorem smul_lt_smul_of_pos : a < b → 0 < c → c • a < c • b :=
 
 /- warning: smul_le_smul_of_nonneg -> smul_le_smul_of_nonneg is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c b))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c b))
 but is expected to have type
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedSemiring.toPartialOrder.{u1} R _inst_1))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) c) -> (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_3))) c a) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_3))) c b))
 Case conversion may be inaccurate. Consider using '#align smul_le_smul_of_nonneg smul_le_smul_of_nonnegₓ'. -/
@@ -126,7 +126,7 @@ theorem smul_le_smul_of_nonneg (h₁ : a ≤ b) (h₂ : 0 ≤ c) : c • a ≤ c
 
 /- warning: smul_nonneg -> smul_nonneg is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {c : R}, (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))))) a) -> (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {c : R}, (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))))) a) -> (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a))
 but is expected to have type
   forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} R] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_3 : SMulWithZero.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_4 : OrderedSMul.{u2, u1} R M _inst_1 _inst_2 _inst_3] {a : M} {c : R}, (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedSemiring.toPartialOrder.{u2} R _inst_1))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))))) c) -> (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (OfNat.ofNat.{u1} M 0 (Zero.toOfNat0.{u1} M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))))) a) -> (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (OfNat.ofNat.{u1} M 0 (Zero.toOfNat0.{u1} M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))))) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3))) c a))
 Case conversion may be inaccurate. Consider using '#align smul_nonneg smul_nonnegₓ'. -/
@@ -139,7 +139,7 @@ theorem smul_nonneg (hc : 0 ≤ c) (ha : 0 ≤ a) : 0 ≤ c • a :=
 
 /- warning: smul_nonpos_of_nonneg_of_nonpos -> smul_nonpos_of_nonneg_of_nonpos is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {c : R}, (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))))))) -> (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))))))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {c : R}, (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))))))) -> (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))))))
 but is expected to have type
   forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} R] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_3 : SMulWithZero.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_4 : OrderedSMul.{u2, u1} R M _inst_1 _inst_2 _inst_3] {a : M} {c : R}, (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedSemiring.toPartialOrder.{u2} R _inst_1))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))))) c) -> (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) a (OfNat.ofNat.{u1} M 0 (Zero.toOfNat0.{u1} M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))))) -> (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3))) c a) (OfNat.ofNat.{u1} M 0 (Zero.toOfNat0.{u1} M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))))))
 Case conversion may be inaccurate. Consider using '#align smul_nonpos_of_nonneg_of_nonpos smul_nonpos_of_nonneg_of_nonposₓ'. -/
@@ -149,7 +149,7 @@ theorem smul_nonpos_of_nonneg_of_nonpos (hc : 0 ≤ c) (ha : a ≤ 0) : c • a
 
 /- warning: eq_of_smul_eq_smul_of_pos_of_le -> eq_of_smul_eq_smul_of_pos_of_le is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (Eq.{succ u2} M (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c b)) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b) -> (Eq.{succ u2} M a b)
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (Eq.{succ u2} M (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c b)) -> (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b) -> (Eq.{succ u2} M a b)
 but is expected to have type
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (Eq.{succ u2} M (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_3))) c a) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_3))) c b)) -> (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedSemiring.toPartialOrder.{u1} R _inst_1))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) c) -> (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b) -> (Eq.{succ u2} M a b)
 Case conversion may be inaccurate. Consider using '#align eq_of_smul_eq_smul_of_pos_of_le eq_of_smul_eq_smul_of_pos_of_leₓ'. -/
@@ -159,7 +159,7 @@ theorem eq_of_smul_eq_smul_of_pos_of_le (h₁ : c • a = c • b) (hc : 0 < c)
 
 /- warning: lt_of_smul_lt_smul_of_nonneg -> lt_of_smul_lt_smul_of_nonneg is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c b)) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b)
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c b)) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b)
 but is expected to have type
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_3))) c a) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_3))) c b)) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedSemiring.toPartialOrder.{u1} R _inst_1))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) c) -> (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b)
 Case conversion may be inaccurate. Consider using '#align lt_of_smul_lt_smul_of_nonneg lt_of_smul_lt_smul_of_nonnegₓ'. -/
@@ -171,7 +171,7 @@ theorem lt_of_smul_lt_smul_of_nonneg (h : c • a < c • b) (hc : 0 ≤ c) : a
 
 /- warning: smul_lt_smul_iff_of_pos -> smul_lt_smul_iff_of_pos is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (Iff (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c b)) (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (Iff (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c b)) (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b))
 but is expected to have type
   forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} R] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_3 : SMulWithZero.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_4 : OrderedSMul.{u2, u1} R M _inst_1 _inst_2 _inst_3] {a : M} {b : M} {c : R}, (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedSemiring.toPartialOrder.{u2} R _inst_1))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))))) c) -> (Iff (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3))) c a) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3))) c b)) (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) a b))
 Case conversion may be inaccurate. Consider using '#align smul_lt_smul_iff_of_pos smul_lt_smul_iff_of_posₓ'. -/
@@ -181,7 +181,7 @@ theorem smul_lt_smul_iff_of_pos (hc : 0 < c) : c • a < c • b ↔ a < b :=
 
 /- warning: smul_pos_iff_of_pos -> smul_pos_iff_of_pos is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {c : R}, (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (Iff (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a)) (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))))) a))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {c : R}, (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (Iff (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a)) (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))))) a))
 but is expected to have type
   forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} R] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_3 : SMulWithZero.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_4 : OrderedSMul.{u2, u1} R M _inst_1 _inst_2 _inst_3] {a : M} {c : R}, (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedSemiring.toPartialOrder.{u2} R _inst_1))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))))) c) -> (Iff (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (OfNat.ofNat.{u1} M 0 (Zero.toOfNat0.{u1} M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))))) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3))) c a)) (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (OfNat.ofNat.{u1} M 0 (Zero.toOfNat0.{u1} M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))))) a))
 Case conversion may be inaccurate. Consider using '#align smul_pos_iff_of_pos smul_pos_iff_of_posₓ'. -/
@@ -194,7 +194,7 @@ theorem smul_pos_iff_of_pos (hc : 0 < c) : 0 < c • a ↔ 0 < a :=
 
 /- warning: smul_pos -> smul_pos is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {c : R}, (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))))) a) -> (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {a : M} {c : R}, (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))))) a) -> (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (OfNat.ofNat.{u2} M 0 (OfNat.mk.{u2} M 0 (Zero.zero.{u2} M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))))) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c a))
 but is expected to have type
   forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} R] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_3 : SMulWithZero.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_4 : OrderedSMul.{u2, u1} R M _inst_1 _inst_2 _inst_3] {a : M} {c : R}, (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedSemiring.toPartialOrder.{u2} R _inst_1))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))))) c) -> (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (OfNat.ofNat.{u1} M 0 (Zero.toOfNat0.{u1} M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))))) a) -> (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (OfNat.ofNat.{u1} M 0 (Zero.toOfNat0.{u1} M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))))) (HSMul.hSMul.{u2, u1, u1} R M M (instHSMul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3))) c a))
 Case conversion may be inaccurate. Consider using '#align smul_pos smul_posₓ'. -/
@@ -203,7 +203,7 @@ alias smul_pos_iff_of_pos ↔ _ smul_pos
 
 /- warning: monotone_smul_left -> monotone_smul_left is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {c : R}, (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (Monotone.{u2, u2} M M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {c : R}, (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (Monotone.{u2, u2} M M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c))
 but is expected to have type
   forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} R] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_3 : SMulWithZero.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_4 : OrderedSMul.{u2, u1} R M _inst_1 _inst_2 _inst_3] {c : R}, (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedSemiring.toPartialOrder.{u2} R _inst_1))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))))) c) -> (Monotone.{u1, u1} M M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (SMul.smul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3)) c))
 Case conversion may be inaccurate. Consider using '#align monotone_smul_left monotone_smul_leftₓ'. -/
@@ -213,7 +213,7 @@ theorem monotone_smul_left (hc : 0 ≤ c) : Monotone (SMul.smul c : M → M) :=
 
 /- warning: strict_mono_smul_left -> strictMono_smul_left is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {c : R}, (LT.lt.{u1} R (Preorder.toLT.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (StrictMono.{u2, u2} M M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {c : R}, (LT.lt.{u1} R (Preorder.toHasLt.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (StrictMono.{u2, u2} M M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3)) c))
 but is expected to have type
   forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} R] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_3 : SMulWithZero.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_4 : OrderedSMul.{u2, u1} R M _inst_1 _inst_2 _inst_3] {c : R}, (LT.lt.{u2} R (Preorder.toLT.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedSemiring.toPartialOrder.{u2} R _inst_1))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))))) c) -> (StrictMono.{u1, u1} M M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (SMul.smul.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3)) c))
 Case conversion may be inaccurate. Consider using '#align strict_mono_smul_left strictMono_smul_leftₓ'. -/
@@ -223,7 +223,7 @@ theorem strictMono_smul_left (hc : 0 < c) : StrictMono (SMul.smul c : M → M) :
 
 /- warning: smul_lower_bounds_subset_lower_bounds_smul -> smul_lowerBounds_subset_lowerBounds_smul is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {s : Set.{u2} M} {c : R}, (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (HasSubset.Subset.{u2} (Set.{u2} M) (Set.hasSubset.{u2} M) (SMul.smul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3))) c (lowerBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s)) (lowerBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3))) c s)))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {s : Set.{u2} M} {c : R}, (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (HasSubset.Subset.{u2} (Set.{u2} M) (Set.hasSubset.{u2} M) (SMul.smul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3))) c (lowerBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s)) (lowerBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3))) c s)))
 but is expected to have type
   forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} R] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_3 : SMulWithZero.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_4 : OrderedSMul.{u2, u1} R M _inst_1 _inst_2 _inst_3] {s : Set.{u1} M} {c : R}, (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedSemiring.toPartialOrder.{u2} R _inst_1))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))))) c) -> (HasSubset.Subset.{u1} (Set.{u1} M) (Set.instHasSubsetSet.{u1} M) (HSMul.hSMul.{u2, u1, u1} R (Set.{u1} M) (Set.{u1} M) (instHSMul.{u2, u1} R (Set.{u1} M) (Set.smulSet.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3)))) c (lowerBounds.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) s)) (lowerBounds.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (HSMul.hSMul.{u2, u1, u1} R (Set.{u1} M) (Set.{u1} M) (instHSMul.{u2, u1} R (Set.{u1} M) (Set.smulSet.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3)))) c s)))
 Case conversion may be inaccurate. Consider using '#align smul_lower_bounds_subset_lower_bounds_smul smul_lowerBounds_subset_lowerBounds_smulₓ'. -/
@@ -234,7 +234,7 @@ theorem smul_lowerBounds_subset_lowerBounds_smul (hc : 0 ≤ c) :
 
 /- warning: smul_upper_bounds_subset_upper_bounds_smul -> smul_upperBounds_subset_upperBounds_smul is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {s : Set.{u2} M} {c : R}, (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (HasSubset.Subset.{u2} (Set.{u2} M) (Set.hasSubset.{u2} M) (SMul.smul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3))) c (upperBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s)) (upperBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3))) c s)))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {s : Set.{u2} M} {c : R}, (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (HasSubset.Subset.{u2} (Set.{u2} M) (Set.hasSubset.{u2} M) (SMul.smul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3))) c (upperBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s)) (upperBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3))) c s)))
 but is expected to have type
   forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} R] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_3 : SMulWithZero.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_4 : OrderedSMul.{u2, u1} R M _inst_1 _inst_2 _inst_3] {s : Set.{u1} M} {c : R}, (LE.le.{u2} R (Preorder.toLE.{u2} R (PartialOrder.toPreorder.{u2} R (OrderedSemiring.toPartialOrder.{u2} R _inst_1))) (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))))) c) -> (HasSubset.Subset.{u1} (Set.{u1} M) (Set.instHasSubsetSet.{u1} M) (HSMul.hSMul.{u2, u1, u1} R (Set.{u1} M) (Set.{u1} M) (instHSMul.{u2, u1} R (Set.{u1} M) (Set.smulSet.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3)))) c (upperBounds.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) s)) (upperBounds.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (HSMul.hSMul.{u2, u1, u1} R (Set.{u1} M) (Set.{u1} M) (instHSMul.{u2, u1} R (Set.{u1} M) (Set.smulSet.{u2, u1} R M (SMulZeroClass.toSMul.{u2, u1} R M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (MonoidWithZero.toZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (OrderedSemiring.toSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3)))) c s)))
 Case conversion may be inaccurate. Consider using '#align smul_upper_bounds_subset_upper_bounds_smul smul_upperBounds_subset_upperBounds_smulₓ'. -/
@@ -245,7 +245,7 @@ theorem smul_upperBounds_subset_upperBounds_smul (hc : 0 ≤ c) :
 
 /- warning: bdd_below.smul_of_nonneg -> BddBelow.smul_of_nonneg is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {s : Set.{u2} M} {c : R}, (BddBelow.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (BddBelow.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3))) c s))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {s : Set.{u2} M} {c : R}, (BddBelow.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (BddBelow.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3))) c s))
 but is expected to have type
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {s : Set.{u2} M} {c : R}, (BddBelow.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedSemiring.toPartialOrder.{u1} R _inst_1))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) c) -> (BddBelow.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (HSMul.hSMul.{u1, u2, u2} R (Set.{u2} M) (Set.{u2} M) (instHSMul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_3)))) c s))
 Case conversion may be inaccurate. Consider using '#align bdd_below.smul_of_nonneg BddBelow.smul_of_nonnegₓ'. -/
@@ -255,7 +255,7 @@ theorem BddBelow.smul_of_nonneg (hs : BddBelow s) (hc : 0 ≤ c) : BddBelow (c 
 
 /- warning: bdd_above.smul_of_nonneg -> BddAbove.smul_of_nonneg is a dubious translation:
 lean 3 declaration is
-  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {s : Set.{u2} M} {c : R}, (BddAbove.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (BddAbove.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3))) c s))
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {s : Set.{u2} M} {c : R}, (BddAbove.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s) -> (LE.le.{u1} R (Preorder.toHasLe.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedAddCommMonoid.toPartialOrder.{u1} R (OrderedSemiring.toOrderedAddCommMonoid.{u1} R _inst_1)))) (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1)))))))) c) -> (BddAbove.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_3))) c s))
 but is expected to have type
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} R] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))] [_inst_4 : OrderedSMul.{u1, u2} R M _inst_1 _inst_2 _inst_3] {s : Set.{u2} M} {c : R}, (BddAbove.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s) -> (LE.le.{u1} R (Preorder.toLE.{u1} R (PartialOrder.toPreorder.{u1} R (OrderedSemiring.toPartialOrder.{u1} R _inst_1))) (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))))) c) -> (BddAbove.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (HSMul.hSMul.{u1, u2, u2} R (Set.{u2} M) (Set.{u2} M) (instHSMul.{u1, u2} R (Set.{u2} M) (Set.smulSet.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R (OrderedSemiring.toSemiring.{u1} R _inst_1))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_3)))) c s))
 Case conversion may be inaccurate. Consider using '#align bdd_above.smul_of_nonneg BddAbove.smul_of_nonnegₓ'. -/
@@ -267,7 +267,7 @@ end OrderedSMul
 
 /- warning: ordered_smul.mk'' -> OrderedSMul.mk'' is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : LinearOrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u2} M _inst_2)))))], (forall {{c : 𝕜}}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommMonoid.toPartialOrder.{u1} 𝕜 (OrderedSemiring.toOrderedAddCommMonoid.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))))))) c) -> (StrictMono.{u2, u2} M M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))) (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))) (fun (a : M) => SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))))) _inst_3)) c a))) -> (OrderedSMul.{u1, u2} 𝕜 M _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u2} M _inst_2) _inst_3)
+  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : OrderedSemiring.{u1} 𝕜] [_inst_2 : LinearOrderedAddCommMonoid.{u2} M] [_inst_3 : SMulWithZero.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u2} M _inst_2)))))], (forall {{c : 𝕜}}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedAddCommMonoid.toPartialOrder.{u1} 𝕜 (OrderedSemiring.toOrderedAddCommMonoid.{u1} 𝕜 _inst_1)))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1)))))))) c) -> (StrictMono.{u2, u2} M M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))) (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))) (fun (a : M) => SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (OrderedSemiring.toSemiring.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u2} M _inst_2))))) _inst_3)) c a))) -> (OrderedSMul.{u1, u2} 𝕜 M _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u2} M _inst_2) _inst_3)
 but is expected to have type
   forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : OrderedSemiring.{u2} 𝕜] [_inst_2 : LinearOrderedAddCommMonoid.{u1} M] [_inst_3 : SMulWithZero.{u2, u1} 𝕜 M (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (LinearOrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))], (forall {{c : 𝕜}}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (OrderedSemiring.toPartialOrder.{u2} 𝕜 _inst_1))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))))) c) -> (StrictMono.{u1, u1} M M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} M _inst_2))) (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} M _inst_2))) (fun (a : M) => HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (LinearOrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (OrderedSemiring.toSemiring.{u2} 𝕜 _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (LinearOrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_3))) c a))) -> (OrderedSMul.{u2, u1} 𝕜 M _inst_1 (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{u1} M _inst_2) _inst_3)
 Case conversion may be inaccurate. Consider using '#align ordered_smul.mk'' OrderedSMul.mk''ₓ'. -/
@@ -315,7 +315,7 @@ variable [LinearOrderedSemifield 𝕜] [OrderedAddCommMonoid M] [OrderedAddCommM
 
 /- warning: ordered_smul.mk' -> OrderedSMul.mk' is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))], (forall {{a : M}} {{b : M}} {{c : 𝕜}}, (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c a) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c b))) -> (OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))
+  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))], (forall {{a : M}} {{b : M}} {{c : 𝕜}}, (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b) -> (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c a) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c b))) -> (OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))
 but is expected to have type
   forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))], (forall {{a : M}} {{b : M}} {{c : 𝕜}}, (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b) -> (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))) c) -> (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (HSMul.hSMul.{u1, u2, u2} 𝕜 M M (instHSMul.{u1, u2} 𝕜 M (SMulZeroClass.toSMul.{u1, u2} 𝕜 M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 M (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_4)))) c a) (HSMul.hSMul.{u1, u2, u2} 𝕜 M M (instHSMul.{u1, u2} 𝕜 M (SMulZeroClass.toSMul.{u1, u2} 𝕜 M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 M (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_4)))) c b))) -> (OrderedSMul.{u1, u2} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_4))
 Case conversion may be inaccurate. Consider using '#align ordered_smul.mk' OrderedSMul.mk'ₓ'. -/
@@ -379,7 +379,7 @@ variable [OrderedSMul 𝕜 M] {s : Set M} {a b : M} {c : 𝕜}
 
 /- warning: smul_le_smul_iff_of_pos -> smul_le_smul_iff_of_pos is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c a) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c b)) (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b))
+  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c a) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c b)) (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a b))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Iff (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) c a) (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) c b)) (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) a b))
 Case conversion may be inaccurate. Consider using '#align smul_le_smul_iff_of_pos smul_le_smul_iff_of_posₓ'. -/
@@ -392,7 +392,7 @@ theorem smul_le_smul_iff_of_pos (hc : 0 < c) : c • a ≤ c • b ↔ a ≤ b :
 
 /- warning: inv_smul_le_iff -> inv_smul_le_iff is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (GroupWithZero.toDivInvMonoid.{u1} 𝕜 (DivisionSemiring.toGroupWithZero.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))) c) a) b) (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c b)))
+  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (GroupWithZero.toDivInvMonoid.{u1} 𝕜 (DivisionSemiring.toGroupWithZero.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))) c) a) b) (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c b)))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Iff (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) (Inv.inv.{u2} 𝕜 (LinearOrderedSemifield.toInv.{u2} 𝕜 _inst_1) c) a) b) (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) a (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) c b)))
 Case conversion may be inaccurate. Consider using '#align inv_smul_le_iff inv_smul_le_iffₓ'. -/
@@ -404,7 +404,7 @@ theorem inv_smul_le_iff (h : 0 < c) : c⁻¹ • a ≤ b ↔ a ≤ c • b :=
 
 /- warning: inv_smul_lt_iff -> inv_smul_lt_iff is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (GroupWithZero.toDivInvMonoid.{u1} 𝕜 (DivisionSemiring.toGroupWithZero.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))) c) a) b) (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c b)))
+  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (GroupWithZero.toDivInvMonoid.{u1} 𝕜 (DivisionSemiring.toGroupWithZero.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))) c) a) b) (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c b)))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Iff (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) (Inv.inv.{u2} 𝕜 (LinearOrderedSemifield.toInv.{u2} 𝕜 _inst_1) c) a) b) (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) a (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) c b)))
 Case conversion may be inaccurate. Consider using '#align inv_smul_lt_iff inv_smul_lt_iffₓ'. -/
@@ -416,7 +416,7 @@ theorem inv_smul_lt_iff (h : 0 < c) : c⁻¹ • a < b ↔ a < c • b :=
 
 /- warning: le_inv_smul_iff -> le_inv_smul_iff is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (GroupWithZero.toDivInvMonoid.{u1} 𝕜 (DivisionSemiring.toGroupWithZero.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))) c) b)) (LE.le.{u2} M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c a) b))
+  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (GroupWithZero.toDivInvMonoid.{u1} 𝕜 (DivisionSemiring.toGroupWithZero.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))) c) b)) (LE.le.{u2} M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c a) b))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Iff (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) a (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) (Inv.inv.{u2} 𝕜 (LinearOrderedSemifield.toInv.{u2} 𝕜 _inst_1) c) b)) (LE.le.{u1} M (Preorder.toLE.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) c a) b))
 Case conversion may be inaccurate. Consider using '#align le_inv_smul_iff le_inv_smul_iffₓ'. -/
@@ -428,7 +428,7 @@ theorem le_inv_smul_iff (h : 0 < c) : a ≤ c⁻¹ • b ↔ c • a ≤ b :=
 
 /- warning: lt_inv_smul_iff -> lt_inv_smul_iff is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (GroupWithZero.toDivInvMonoid.{u1} 𝕜 (DivisionSemiring.toGroupWithZero.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))) c) b)) (LT.lt.{u2} M (Preorder.toLT.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c a) b))
+  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) a (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (GroupWithZero.toDivInvMonoid.{u1} 𝕜 (DivisionSemiring.toGroupWithZero.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))) c) b)) (LT.lt.{u2} M (Preorder.toHasLt.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (SMul.smul.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4))) c a) b))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {a : M} {b : M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Iff (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) a (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) (Inv.inv.{u2} 𝕜 (LinearOrderedSemifield.toInv.{u2} 𝕜 _inst_1) c) b)) (LT.lt.{u1} M (Preorder.toLT.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2))) (HSMul.hSMul.{u2, u1, u1} 𝕜 M M (instHSMul.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)))) c a) b))
 Case conversion may be inaccurate. Consider using '#align lt_inv_smul_iff lt_inv_smul_iffₓ'. -/
@@ -442,7 +442,7 @@ variable (M)
 
 /- warning: order_iso.smul_left -> OrderIso.smulLeft is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} (M : Type.{u2}) [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (OrderIso.{u2, u2} M M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))))
+  forall {𝕜 : Type.{u1}} (M : Type.{u2}) [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (OrderIso.{u2, u2} M M (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (Preorder.toHasLe.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))))
 but is expected to have type
   forall {𝕜 : Type.{u1}} (M : Type.{u2}) [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u1} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (StrictOrderedSemiring.toSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))) _inst_4)] {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))))) (OfNat.ofNat.{u1} 𝕜 0 (Zero.toOfNat0.{u1} 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))) c) -> (OrderIso.{u2, u2} M M (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))) (Preorder.toLE.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2))))
 Case conversion may be inaccurate. Consider using '#align order_iso.smul_left OrderIso.smulLeftₓ'. -/
@@ -461,7 +461,7 @@ variable {M}
 
 /- warning: lower_bounds_smul_of_pos -> lowerBounds_smul_of_pos is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {s : Set.{u2} M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Eq.{succ u2} (Set.{u2} M) (lowerBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} M) (Set.smulSet.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)))) c s)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} M) (Set.smulSet.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)))) c (lowerBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s)))
+  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {s : Set.{u2} M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Eq.{succ u2} (Set.{u2} M) (lowerBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} M) (Set.smulSet.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)))) c s)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} M) (Set.smulSet.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)))) c (lowerBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s)))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {s : Set.{u1} M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Eq.{succ u1} (Set.{u1} M) (lowerBounds.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} M) (Set.{u1} M) (instHSMul.{u2, u1} 𝕜 (Set.{u1} M) (Set.smulSet.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4))))) c s)) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} M) (Set.{u1} M) (instHSMul.{u2, u1} 𝕜 (Set.{u1} M) (Set.smulSet.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4))))) c (lowerBounds.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) s)))
 Case conversion may be inaccurate. Consider using '#align lower_bounds_smul_of_pos lowerBounds_smul_of_posₓ'. -/
@@ -472,7 +472,7 @@ theorem lowerBounds_smul_of_pos (hc : 0 < c) : lowerBounds (c • s) = c • low
 
 /- warning: upper_bounds_smul_of_pos -> upperBounds_smul_of_pos is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {s : Set.{u2} M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Eq.{succ u2} (Set.{u2} M) (upperBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} M) (Set.smulSet.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)))) c s)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} M) (Set.smulSet.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)))) c (upperBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s)))
+  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {s : Set.{u2} M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Eq.{succ u2} (Set.{u2} M) (upperBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} M) (Set.smulSet.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)))) c s)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} M) (Set.smulSet.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)))) c (upperBounds.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s)))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {s : Set.{u1} M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Eq.{succ u1} (Set.{u1} M) (upperBounds.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} M) (Set.{u1} M) (instHSMul.{u2, u1} 𝕜 (Set.{u1} M) (Set.smulSet.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4))))) c s)) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} M) (Set.{u1} M) (instHSMul.{u2, u1} 𝕜 (Set.{u1} M) (Set.smulSet.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4))))) c (upperBounds.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) s)))
 Case conversion may be inaccurate. Consider using '#align upper_bounds_smul_of_pos upperBounds_smul_of_posₓ'. -/
@@ -483,7 +483,7 @@ theorem upperBounds_smul_of_pos (hc : 0 < c) : upperBounds (c • s) = c • upp
 
 /- warning: bdd_below_smul_iff_of_pos -> bddBelow_smul_iff_of_pos is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {s : Set.{u2} M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (BddBelow.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} M) (Set.smulSet.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)))) c s)) (BddBelow.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s))
+  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {s : Set.{u2} M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (BddBelow.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} M) (Set.smulSet.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)))) c s)) (BddBelow.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {s : Set.{u1} M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Iff (BddBelow.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} M) (Set.{u1} M) (instHSMul.{u2, u1} 𝕜 (Set.{u1} M) (Set.smulSet.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4))))) c s)) (BddBelow.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) s))
 Case conversion may be inaccurate. Consider using '#align bdd_below_smul_iff_of_pos bddBelow_smul_iff_of_posₓ'. -/
@@ -494,7 +494,7 @@ theorem bddBelow_smul_iff_of_pos (hc : 0 < c) : BddBelow (c • s) ↔ BddBelow
 
 /- warning: bdd_above_smul_iff_of_pos -> bddAbove_smul_iff_of_pos is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {s : Set.{u2} M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toLT.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (BddAbove.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} M) (Set.smulSet.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)))) c s)) (BddAbove.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s))
+  forall {𝕜 : Type.{u1}} {M : Type.{u2}} [_inst_1 : LinearOrderedSemifield.{u1} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u2} M] [_inst_4 : MulActionWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2))))] [_inst_6 : OrderedSMul.{u1, u2} 𝕜 M (StrictOrderedSemiring.toOrderedSemiring.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)] {s : Set.{u2} M} {c : 𝕜}, (LT.lt.{u1} 𝕜 (Preorder.toHasLt.{u1} 𝕜 (PartialOrder.toPreorder.{u1} 𝕜 (OrderedCancelAddCommMonoid.toPartialOrder.{u1} 𝕜 (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{u1} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u1} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u1} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u1} 𝕜 _inst_1))))))) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))))))))) c) -> (Iff (BddAbove.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} M) (Set.smulSet.{u1, u2} 𝕜 M (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 M (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1))))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 M (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (LinearOrderedSemifield.toSemifield.{u1} 𝕜 _inst_1)))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (OrderedAddCommMonoid.toAddCommMonoid.{u2} M _inst_2)))) _inst_4)))) c s)) (BddAbove.{u2} M (PartialOrder.toPreorder.{u2} M (OrderedAddCommMonoid.toPartialOrder.{u2} M _inst_2)) s))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {M : Type.{u1}} [_inst_1 : LinearOrderedSemifield.{u2} 𝕜] [_inst_2 : OrderedAddCommMonoid.{u1} M] [_inst_4 : MulActionWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2)))] [_inst_6 : OrderedSMul.{u2, u1} 𝕜 M (OrderedCommSemiring.toOrderedSemiring.{u2} 𝕜 (StrictOrderedCommSemiring.toOrderedCommSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toStrictOrderedCommSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))) _inst_2 (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4)] {s : Set.{u1} M} {c : 𝕜}, (LT.lt.{u2} 𝕜 (Preorder.toLT.{u2} 𝕜 (PartialOrder.toPreorder.{u2} 𝕜 (StrictOrderedSemiring.toPartialOrder.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1)))))) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))))) c) -> (Iff (BddAbove.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} M) (Set.{u1} M) (instHSMul.{u2, u1} 𝕜 (Set.{u1} M) (Set.smulSet.{u2, u1} 𝕜 M (SMulZeroClass.toSMul.{u2, u1} 𝕜 M (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 M (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (LinearOrderedSemifield.toSemifield.{u2} 𝕜 _inst_1)))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 M (Semiring.toMonoidWithZero.{u2} 𝕜 (StrictOrderedSemiring.toSemiring.{u2} 𝕜 (LinearOrderedSemiring.toStrictOrderedSemiring.{u2} 𝕜 (LinearOrderedCommSemiring.toLinearOrderedSemiring.{u2} 𝕜 (LinearOrderedSemifield.toLinearOrderedCommSemiring.{u2} 𝕜 _inst_1))))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (OrderedAddCommMonoid.toAddCommMonoid.{u1} M _inst_2))) _inst_4))))) c s)) (BddAbove.{u1} M (PartialOrder.toPreorder.{u1} M (OrderedAddCommMonoid.toPartialOrder.{u1} M _inst_2)) s))
 Case conversion may be inaccurate. Consider using '#align bdd_above_smul_iff_of_pos bddAbove_smul_iff_of_posₓ'. -/

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

This is less exhaustive than its sibling #11486 because edge cases are harder to classify. No fundamental difficulty, just me being a bit fast and lazy.

Reduce the diff of #11203

@@ -92,7 +92,7 @@ instance Nat.orderedSMul [LinearOrderedCancelAddCommMonoid M] : OrderedSMul ℕ
 instance Int.orderedSMul [LinearOrderedAddCommGroup M] : OrderedSMul ℤ M :=
   OrderedSMul.mk'' fun n hn => by
     cases n
-    · simp only [Int.ofNat_eq_coe, Int.coe_nat_pos, natCast_zsmul] at hn ⊢
+    · simp only [Int.ofNat_eq_coe, Int.natCast_pos, natCast_zsmul] at hn ⊢
       exact strictMono_smul_left_of_pos hn
     · cases (Int.negSucc_not_pos _).1 hn
 #align int.ordered_smul Int.orderedSMul

@@ -119,7 +119,7 @@ theorem OrderedSMul.mk' (h : ∀ ⦃a b : M⦄ ⦃c : 𝕜⦄, a < b → 0 < c 
     OrderedSMul 𝕜 M := by
   have hlt' : ∀ (a b : M) (c : 𝕜), a < b → 0 < c → c • a < c • b := by
     refine' fun a b c hab hc => (h hab hc).lt_of_ne _
-    rw [Ne.def, hc.ne'.isUnit.smul_left_cancel]
+    rw [Ne, hc.ne'.isUnit.smul_left_cancel]
     exact hab.ne
   refine' { smul_lt_smul_of_pos := fun {a b c} => hlt' a b c..}
   intro a b c hab hc

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.

@@ -86,7 +86,7 @@ instance Nat.orderedSMul [LinearOrderedCancelAddCommMonoid M] : OrderedSMul ℕ
     | succ n =>
       induction n with
       | zero => dsimp; rwa [one_nsmul, one_nsmul]
-      | succ n ih => simp only [succ_nsmul _ n.succ, _root_.add_lt_add hab (ih n.succ_pos)]
+      | succ n ih => simp only [succ_nsmul _ n.succ, _root_.add_lt_add (ih n.succ_pos) hab]
 #align nat.ordered_smul Nat.orderedSMul
 
 instance Int.orderedSMul [LinearOrderedAddCommGroup M] : OrderedSMul ℤ M :=

I removed some redundant instance arguments throughout Mathlib. To do this, I used VS Code's regex search. See https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/repeating.20instances.20from.20variable.20command I closed the previous PR for this and reopened it.

@@ -65,8 +65,7 @@ instance OrderedSMul.toPosSMulStrictMono : PosSMulStrictMono R M where
 instance OrderedSMul.toPosSMulReflectLT : PosSMulReflectLT R M :=
   PosSMulReflectLT.of_pos fun _a ha _b₁ _b₂ h ↦ OrderedSMul.lt_of_smul_lt_smul_of_pos h ha
 
-instance OrderDual.instOrderedSMul [OrderedSemiring R] [OrderedAddCommMonoid M] [SMulWithZero R M]
-    [OrderedSMul R M] : OrderedSMul R Mᵒᵈ where
+instance OrderDual.instOrderedSMul : OrderedSMul R Mᵒᵈ where
   smul_lt_smul_of_pos := OrderedSMul.smul_lt_smul_of_pos (M := M)
   lt_of_smul_lt_smul_of_pos := OrderedSMul.lt_of_smul_lt_smul_of_pos (M := M)
 

... and add a deprecated alias for the old name. This is mostly just me discovering the power of F2

@@ -93,7 +93,7 @@ instance Nat.orderedSMul [LinearOrderedCancelAddCommMonoid M] : OrderedSMul ℕ
 instance Int.orderedSMul [LinearOrderedAddCommGroup M] : OrderedSMul ℤ M :=
   OrderedSMul.mk'' fun n hn => by
     cases n
-    · simp only [Int.ofNat_eq_coe, Int.coe_nat_pos, coe_nat_zsmul] at hn ⊢
+    · simp only [Int.ofNat_eq_coe, Int.coe_nat_pos, natCast_zsmul] at hn ⊢
       exact strictMono_smul_left_of_pos hn
     · cases (Int.negSucc_not_pos _).1 hn
 #align int.ordered_smul Int.orderedSMul

Some of these are already transitively imported, others aren't used at all (but not handled by noshake in #9772).

Mostly I wanted to avoid needing all of algebra imported (but unused!) in FilteredColimitCommutesFiniteLimit; there are now some assert_not_exists to preserve this.

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

@@ -9,7 +9,6 @@ import Mathlib.Algebra.Order.Module.Defs
 import Mathlib.Algebra.Order.Monoid.Prod
 import Mathlib.Algebra.Order.Pi
 import Mathlib.Tactic.GCongr.Core
-import Mathlib.Tactic.Positivity
 
 #align_import algebra.order.smul from "leanprover-community/mathlib"@"3ba15165bd6927679be7c22d6091a87337e3cd0c"
 

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

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

@@ -5,11 +5,9 @@ Authors: Frédéric Dupuis
 -/
 import Mathlib.Algebra.Module.Pi
 import Mathlib.Algebra.Module.Prod
-import Mathlib.Algebra.Order.Group.PosPart
 import Mathlib.Algebra.Order.Module.Defs
 import Mathlib.Algebra.Order.Monoid.Prod
 import Mathlib.Algebra.Order.Pi
-import Mathlib.Data.Set.Pointwise.SMul
 import Mathlib.Tactic.GCongr.Core
 import Mathlib.Tactic.Positivity
 

This changes the typeclass notation approach with plain functions.

Followup to #9553. Part of #9411

@@ -45,8 +45,6 @@ This file is now mostly useless. We should try deleting `OrderedSMul`
 ordered module, ordered scalar, ordered smul, ordered action, ordered vector space
 -/
 
-open LatticeOrderedCommGroup
-
 /-- The ordered scalar product property is when an ordered additive commutative monoid
 with a partial order has a scalar multiplication which is compatible with the order.
 -/

Part of #9411

@@ -5,6 +5,7 @@ Authors: Frédéric Dupuis
 -/
 import Mathlib.Algebra.Module.Pi
 import Mathlib.Algebra.Module.Prod
+import Mathlib.Algebra.Order.Group.PosPart
 import Mathlib.Algebra.Order.Module.Defs
 import Mathlib.Algebra.Order.Monoid.Prod
 import Mathlib.Algebra.Order.Pi
@@ -44,6 +45,8 @@ This file is now mostly useless. We should try deleting `OrderedSMul`
 ordered module, ordered scalar, ordered smul, ordered action, ordered vector space
 -/
 
+open LatticeOrderedCommGroup
+
 /-- The ordered scalar product property is when an ordered additive commutative monoid
 with a partial order has a scalar multiplication which is compatible with the order.
 -/
@@ -145,3 +148,33 @@ instance Pi.orderedSMul {M : ι → Type*} [∀ i, OrderedAddCommMonoid (M i)]
 #noalign pi.ordered_smul''
 
 end LinearOrderedSemifield
+
+section Invertible
+variable (α : Type*) {β : Type*}
+variable [Semiring α] [Invertible (2 : α)] [Lattice β] [AddCommGroup β] [Module α β]
+  [CovariantClass β β (· + ·) (· ≤ ·)]
+
+lemma inf_eq_half_smul_add_sub_abs_sub (x y : β) : x ⊓ y = (⅟2 : α) • (x + y - |y - x|) := by
+  rw [← two_nsmul_inf_eq_add_sub_abs_sub x y, two_smul, ← two_smul α,
+    smul_smul, invOf_mul_self, one_smul]
+
+lemma sup_eq_half_smul_add_add_abs_sub (x y : β) : x ⊔ y = (⅟2 : α) • (x + y + |y - x|) := by
+  rw [← two_nsmul_sup_eq_add_add_abs_sub x y, two_smul, ← two_smul α,
+    smul_smul, invOf_mul_self, one_smul]
+
+end Invertible
+
+section DivisionSemiring
+variable (α : Type*) {β : Type*}
+variable [DivisionSemiring α] [NeZero (2 : α)] [Lattice β] [AddCommGroup β] [Module α β]
+  [CovariantClass β β (· + ·) (· ≤ ·)]
+
+lemma inf_eq_half_smul_add_sub_abs_sub' (x y : β) : x ⊓ y = (2⁻¹ : α) • (x + y - |y - x|) := by
+  letI := invertibleOfNonzero (two_ne_zero' α)
+  exact inf_eq_half_smul_add_sub_abs_sub α x y
+
+lemma sup_eq_half_smul_add_add_abs_sub' (x y : β) : x ⊔ y = (2⁻¹ : α) • (x + y + |y - x|) := by
+  letI := invertibleOfNonzero (two_ne_zero' α)
+  exact sup_eq_half_smul_add_add_abs_sub α x y
+
+end DivisionSemiring

Subset of #9319

@@ -65,7 +65,7 @@ instance OrderedSMul.toPosSMulStrictMono : PosSMulStrictMono R M where
   elim _a ha _b₁ _b₂ hb := OrderedSMul.smul_lt_smul_of_pos hb ha
 
 instance OrderedSMul.toPosSMulReflectLT : PosSMulReflectLT R M :=
-  PosSMulReflectLT.of_pos $ fun _a ha _b₁ _b₂ h ↦ OrderedSMul.lt_of_smul_lt_smul_of_pos h ha
+  PosSMulReflectLT.of_pos fun _a ha _b₁ _b₂ h ↦ OrderedSMul.lt_of_smul_lt_smul_of_pos h ha
 
 instance OrderDual.instOrderedSMul [OrderedSemiring R] [OrderedAddCommMonoid M] [SMulWithZero R M]
     [OrderedSMul R M] : OrderedSMul R Mᵒᵈ where

Remove the duplicates introduced in #8869 by sorting the lemmas in Algebra.Order.SMul into three files:

• Algebra.Order.Module.Defs for the order isomorphism induced by scalar multiplication by a positivity element
• Algebra.Order.Module.Pointwise for the order properties of scalar multiplication of sets. This file is new. I credit myself for https://github.com/leanprover-community/mathlib/pull/9078
• Algebra.Order.Module.OrderedSMul: The material about OrderedSMul per se. Inherits the copyright header from Algebra.Order.SMul. This file should eventually be deleted.

I move each #align to the correct file. On top of that, I delete unused redundant OrderedSMul instances (they were useful in Lean 3, but not anymore) and eq_of_smul_eq_smul_of_pos_of_le/eq_of_smul_eq_smul_of_neg_of_le since those lemmas are weird and unused.

This PR introduces eight typeclasses for monotonicity of left/right scalar multiplication by nonnegative elements:

• PosSMulMono: If a ≥ 0, then b₁ ≤ b₂ implies a • b₁ ≤ a • b₂.
• PosSMulStrictMono: If a > 0, then b₁ < b₂ implies a • b₁ < a • b₂.
• PosSMulReflectLT: If a ≥ 0, then a • b₁ < a • b₂ implies b₁ < b₂.
• PosSMulReflectLE: If a > 0, then a • b₁ ≤ a • b₂ implies b₁ ≤ b₂.
• SMulPosMono: If b ≥ 0, then a₁ ≤ a₂ implies a₁ • b ≤ a₂ • b.
• SMulPosStrictMono: If b > 0, then a₁ < a₂ implies a₁ • b < a₂ • b.
• SMulPosReflectLT: If b ≥ 0, then a₁ • b < a₂ • b implies a₁ < a₂.
• SMulPosReflectLE: If b > 0, then a₁ • b ≤ a₂ • b implies a₁ ≤ a₂.

The design is heavily inspired to the corresponding one for multiplication (see Algebra.Order.Ring.Lemmas). Note however the following differences:

• The new typeclasses are custom typeclasses instead of abbreviations for the correct CovariantClass/ContravariantClass invokations. This has the following benefits:
  • They get displayed as classes in the docs. In particular, one can see their list of instances, instead of their instances being invariably dumped to the CovariantClass/ContravariantClass list.
  • They don't pollute other typeclass searches. Having many abbreviations of the same typeclass for different purposes always felt like a performance issue to me (more instances with the same key, for no added benefit), and indeed a previous version of this PR hit timeouts due to the higher number of CovariantClass/ContravariantClass instances.
  • SMulPosReflectLT/SMulPosReflectLE did not fit in the framework since they relate ≤ on two different types. So I would have had to generalise CovariantClass/ContravariantClass to three types and two relations.
  • Very minor, but the constructors let you work with a : α, h : 0 ≤ a instead of a : {a : α // 0 ≤ a}. This actually makes some instances surprisingly cleaner to prove.
  • The CovariantClass/ContravariantClass framework was only used to automate very simple logic anyway. It was easily copied over.
• We replace undocumented lemmas stating the equivalence of the four typeclasses mentioning nonnegativity with their positivity version by motivated constructors.
• We abandon series of lemmas of dubious utility. Those were already marked as such in Algebra.Order.Ring.Lemmas (by myself).
• Some lemmas about commutativity of multiplication don't make sense for scalar multiplication.

This PR links the new typeclasses to OrderedSMul and makes all old lemmas in Algebra.Order.SMul one-liners in terms of the new lemmas (except when they have the same name, in which case the lemma is simply moved) but doesn't delete the old ones to reduce churn. What remains to be done afterwards is thus:

• finish the transition by deleting the duplicate lemmas from Algebra.Order.SMul
• rearrange the non-duplicate lemmas into new files
• generalise (most of) the lemmas from Algebra.Order.Module to Algebra.Order.Module.Defs
• rethink OrderedSMul

@@ -5,7 +5,7 @@ Authors: Frédéric Dupuis
 -/
 import Mathlib.Algebra.Module.Pi
 import Mathlib.Algebra.Module.Prod
-import Mathlib.Algebra.Order.Module.Synonym
+import Mathlib.Algebra.Order.Module.Defs
 import Mathlib.Algebra.Order.Monoid.Prod
 import Mathlib.Algebra.Order.Pi
 import Mathlib.Data.Set.Pointwise.SMul
@@ -31,6 +31,10 @@ In this file we define
 * To get ordered modules and ordered vector spaces, it suffices to replace the
   `OrderedAddCommMonoid` and the `OrderedSemiring` as desired.
 
+## TODO
+
+Delete the lemmas that have been generalised by `PosSMulMono` and friends.
+
 ## References
 
 * https://en.wikipedia.org/wiki/Ordered_vector_space
@@ -66,29 +70,21 @@ section OrderedSMul
 variable [OrderedSemiring R] [OrderedAddCommMonoid M] [SMulWithZero R M] [OrderedSMul R M]
   {s : Set M} {a b : M} {c : R}
 
-@[gcongr] theorem smul_lt_smul_of_pos : a < b → 0 < c → c • a < c • b :=
-  OrderedSMul.smul_lt_smul_of_pos
-#align smul_lt_smul_of_pos smul_lt_smul_of_pos
+instance OrderedSMul.toPosSMulStrictMono : PosSMulStrictMono R M where
+  elim _a ha _b₁ _b₂ hb := OrderedSMul.smul_lt_smul_of_pos hb ha
 
-@[gcongr] theorem smul_le_smul_of_nonneg (h₁ : a ≤ b) (h₂ : 0 ≤ c) : c • a ≤ c • b := by
-  rcases h₁.eq_or_lt with (rfl | hab)
-  · rfl
-  · rcases h₂.eq_or_lt with (rfl | hc)
-    · rw [zero_smul, zero_smul]
-    · exact (smul_lt_smul_of_pos hab hc).le
-#align smul_le_smul_of_nonneg smul_le_smul_of_nonneg
+instance OrderedSMul.toPosSMulReflectLT : PosSMulReflectLT R M :=
+  PosSMulReflectLT.of_pos $ fun _a ha _b₁ _b₂ h ↦ OrderedSMul.lt_of_smul_lt_smul_of_pos h ha
+
+@[gcongr] theorem smul_lt_smul_of_pos : a < b → 0 < c → c • a < c • b := smul_lt_smul_of_pos_left
+#align smul_lt_smul_of_pos smul_lt_smul_of_pos
 
 -- TODO: Remove `smul_le_smul_of_nonneg` completely
-alias smul_le_smul_of_nonneg_left := smul_le_smul_of_nonneg
+@[gcongr] theorem smul_le_smul_of_nonneg (h₁ : a ≤ b) (h₂ : 0 ≤ c) : c • a ≤ c • b :=
+  smul_le_smul_of_nonneg_left h₁ h₂
+#align smul_le_smul_of_nonneg smul_le_smul_of_nonneg
 
-theorem smul_nonneg (hc : 0 ≤ c) (ha : 0 ≤ a) : 0 ≤ c • a :=
-  calc
-    (0 : M) = c • (0 : M) := (smul_zero c).symm
-    _ ≤ c • a := smul_le_smul_of_nonneg ha hc
 #align smul_nonneg smul_nonneg
-
-theorem smul_nonpos_of_nonneg_of_nonpos (hc : 0 ≤ c) (ha : a ≤ 0) : c • a ≤ 0 :=
-  @smul_nonneg R Mᵒᵈ _ _ _ _ _ _ hc ha
 #align smul_nonpos_of_nonneg_of_nonpos smul_nonpos_of_nonneg_of_nonpos
 
 theorem eq_of_smul_eq_smul_of_pos_of_le (h₁ : c • a = c • b) (hc : 0 < c) (hle : a ≤ b) : a = b :=
@@ -96,30 +92,24 @@ theorem eq_of_smul_eq_smul_of_pos_of_le (h₁ : c • a = c • b) (hc : 0 < c)
 #align eq_of_smul_eq_smul_of_pos_of_le eq_of_smul_eq_smul_of_pos_of_le
 
 theorem lt_of_smul_lt_smul_of_nonneg (h : c • a < c • b) (hc : 0 ≤ c) : a < b :=
-  hc.eq_or_lt.elim
-    (fun hc => False.elim <| lt_irrefl (0 : M) <| by rwa [← hc, zero_smul, zero_smul] at h)
-    (OrderedSMul.lt_of_smul_lt_smul_of_pos h)
+  lt_of_smul_lt_smul_of_nonneg_left h hc
 #align lt_of_smul_lt_smul_of_nonneg lt_of_smul_lt_smul_of_nonneg
 
 theorem smul_lt_smul_iff_of_pos (hc : 0 < c) : c • a < c • b ↔ a < b :=
-  ⟨fun h => lt_of_smul_lt_smul_of_nonneg h hc.le, fun h => smul_lt_smul_of_pos h hc⟩
+  smul_lt_smul_iff_of_pos_left hc
 #align smul_lt_smul_iff_of_pos smul_lt_smul_iff_of_pos
 
-theorem smul_pos_iff_of_pos (hc : 0 < c) : 0 < c • a ↔ 0 < a :=
-  calc
-    0 < c • a ↔ c • (0 : M) < c • a := by rw [smul_zero]
-    _ ↔ 0 < a := smul_lt_smul_iff_of_pos hc
+theorem smul_pos_iff_of_pos (hc : 0 < c) : 0 < c • a ↔ 0 < a := smul_pos_iff_of_pos_left hc
 #align smul_pos_iff_of_pos smul_pos_iff_of_pos
 
-alias ⟨_, smul_pos⟩ := smul_pos_iff_of_pos
 #align smul_pos smul_pos
 
-theorem monotone_smul_left (hc : 0 ≤ c) : Monotone (SMul.smul c : M → M) := fun _ _ h =>
-  smul_le_smul_of_nonneg h hc
+theorem monotone_smul_left (hc : 0 ≤ c) : Monotone (SMul.smul c : M → M) :=
+  monotone_smul_left_of_nonneg hc
 #align monotone_smul_left monotone_smul_left
 
-theorem strictMono_smul_left (hc : 0 < c) : StrictMono (SMul.smul c : M → M) := fun _ _ h =>
-  smul_lt_smul_of_pos h hc
+theorem strictMono_smul_left (hc : 0 < c) : StrictMono (SMul.smul c : M → M) :=
+  strictMono_smul_left_of_pos hc
 #align strict_mono_smul_left strictMono_smul_left
 
 theorem smul_lowerBounds_subset_lowerBounds_smul (hc : 0 ≤ c) :
@@ -178,11 +168,11 @@ instance LinearOrderedSemiring.toOrderedSMul : OrderedSMul R R :=
 #align linear_ordered_semiring.to_ordered_smul LinearOrderedSemiring.toOrderedSMul
 
 theorem smul_max (ha : 0 ≤ a) (b₁ b₂ : M) : a • max b₁ b₂ = max (a • b₁) (a • b₂) :=
-  (monotone_smul_left ha : Monotone (_ : M → M)).map_max
+  smul_max_of_nonneg ha _ _
 #align smul_max smul_max
 
 theorem smul_min (ha : 0 ≤ a) (b₁ b₂ : M) : a • min b₁ b₂ = min (a • b₁) (a • b₂) :=
-  (monotone_smul_left ha : Monotone (_ : M → M)).map_min
+  smul_min_of_nonneg ha _ _
 #align smul_min smul_min
 
 end LinearOrderedSemiring
@@ -231,26 +221,19 @@ instance Pi.orderedSMul'' : OrderedSMul 𝕜 (ι → 𝕜) :=
 variable [OrderedSMul 𝕜 M] {s : Set M} {a b : M} {c : 𝕜}
 
 theorem smul_le_smul_iff_of_pos (hc : 0 < c) : c • a ≤ c • b ↔ a ≤ b :=
-  ⟨fun h =>
-    inv_smul_smul₀ hc.ne' a ▸
-      inv_smul_smul₀ hc.ne' b ▸ smul_le_smul_of_nonneg h (inv_nonneg.2 hc.le),
-    fun h => smul_le_smul_of_nonneg h hc.le⟩
+  smul_le_smul_iff_of_pos_left hc
 #align smul_le_smul_iff_of_pos smul_le_smul_iff_of_pos
 
-theorem inv_smul_le_iff (h : 0 < c) : c⁻¹ • a ≤ b ↔ a ≤ c • b := by
-  rw [← smul_le_smul_iff_of_pos h, smul_inv_smul₀ h.ne']
+theorem inv_smul_le_iff (h : 0 < c) : c⁻¹ • a ≤ b ↔ a ≤ c • b := inv_smul_le_iff_of_pos h
 #align inv_smul_le_iff inv_smul_le_iff
 
-theorem inv_smul_lt_iff (h : 0 < c) : c⁻¹ • a < b ↔ a < c • b := by
-  rw [← smul_lt_smul_iff_of_pos h, smul_inv_smul₀ h.ne']
+theorem inv_smul_lt_iff (h : 0 < c) : c⁻¹ • a < b ↔ a < c • b := inv_smul_lt_iff_of_pos h
 #align inv_smul_lt_iff inv_smul_lt_iff
 
-theorem le_inv_smul_iff (h : 0 < c) : a ≤ c⁻¹ • b ↔ c • a ≤ b := by
-  rw [← smul_le_smul_iff_of_pos h, smul_inv_smul₀ h.ne']
+theorem le_inv_smul_iff (h : 0 < c) : a ≤ c⁻¹ • b ↔ c • a ≤ b := le_inv_smul_iff_of_pos h
 #align le_inv_smul_iff le_inv_smul_iff
 
-theorem lt_inv_smul_iff (h : 0 < c) : a < c⁻¹ • b ↔ c • a < b := by
-  rw [← smul_lt_smul_iff_of_pos h, smul_inv_smul₀ h.ne']
+theorem lt_inv_smul_iff (h : 0 < c) : a < c⁻¹ • b ↔ c • a < b := lt_inv_smul_iff_of_pos h
 #align lt_inv_smul_iff lt_inv_smul_iff
 
 variable (M)

https://en.wikipedia.org/wiki/Ordered_module doesn't exist but https://en.wikipedia.org/wiki/Ordered_vector_space does. Also delete instModuleOrderDual, which was accidentally duplicated (with a more general statement) as OrderDual.instModule' in #8840.

@@ -33,7 +33,7 @@ In this file we define
 
 ## References
 
-* https://en.wikipedia.org/wiki/Ordered_module
+* https://en.wikipedia.org/wiki/Ordered_vector_space
 
 ## Tags
 

Also add a few missing ones:

• OrderDual.instSMulWithZero
• OrderDual.instMulAction
• OrderDual.instMulActionWithZero
• OrderDual.instDistribMulAction

In every case, we prime the originally unprimed/unnamed version.

@@ -5,6 +5,7 @@ Authors: Frédéric Dupuis
 -/
 import Mathlib.Algebra.Module.Pi
 import Mathlib.Algebra.Module.Prod
+import Mathlib.Algebra.Order.Module.Synonym
 import Mathlib.Algebra.Order.Monoid.Prod
 import Mathlib.Algebra.Order.Pi
 import Mathlib.Data.Set.Pointwise.SMul
@@ -55,57 +56,10 @@ class OrderedSMul (R M : Type*) [OrderedSemiring R] [OrderedAddCommMonoid M] [SM
 
 variable {ι α β γ 𝕜 R M N : Type*}
 
-namespace OrderDual
-
-instance OrderDual.instSMulWithZero [Zero R] [AddZeroClass M] [SMulWithZero R M] :
-    SMulWithZero R Mᵒᵈ :=
-  { OrderDual.instSMul with
-    zero_smul := fun m => OrderDual.rec (zero_smul _) m
-    smul_zero := fun r => OrderDual.rec (@smul_zero R M _ _) r }
-
-@[to_additive]
-instance OrderDual.instMulAction [Monoid R] [MulAction R M] : MulAction R Mᵒᵈ :=
-  { OrderDual.instSMul with
-    one_smul := fun m => OrderDual.rec (one_smul _) m
-    mul_smul := fun r => OrderDual.rec (@mul_smul R M _ _) r }
-
-@[to_additive]
-instance OrderDual.instSMulCommClass [SMul β γ] [SMul α γ] [SMulCommClass α β γ] :
-    SMulCommClass αᵒᵈ β γ := ‹SMulCommClass α β γ›
-
-@[to_additive]
-instance OrderDual.instSMulCommClass' [SMul β γ] [SMul α γ] [SMulCommClass α β γ] :
-    SMulCommClass α βᵒᵈ γ := ‹SMulCommClass α β γ›
-
-@[to_additive]
-instance OrderDual.instSMulCommClass'' [SMul β γ] [SMul α γ] [SMulCommClass α β γ] :
-    SMulCommClass α β γᵒᵈ := ‹SMulCommClass α β γ›
-
-@[to_additive OrderDual.instVAddAssocClass]
-instance OrderDual.instIsScalarTower [SMul α β] [SMul β γ] [SMul α γ] [IsScalarTower α β γ] :
-   IsScalarTower αᵒᵈ β γ := ‹IsScalarTower α β γ›
-
-@[to_additive OrderDual.instVAddAssocClass']
-instance OrderDual.instIsScalarTower' [SMul α β] [SMul β γ] [SMul α γ] [IsScalarTower α β γ] :
-    IsScalarTower α βᵒᵈ γ := ‹IsScalarTower α β γ›
-
-@[to_additive OrderDual.instVAddAssocClass'']
-instance OrderDual.IsScalarTower'' [SMul α β] [SMul β γ] [SMul α γ] [IsScalarTower α β γ] :
-    IsScalarTower α β γᵒᵈ := ‹IsScalarTower α β γ›
-
-instance [MonoidWithZero R] [AddMonoid M] [MulActionWithZero R M] : MulActionWithZero R Mᵒᵈ :=
-  { OrderDual.instMulAction, OrderDual.instSMulWithZero with }
-
-instance [MonoidWithZero R] [AddMonoid M] [DistribMulAction R M] : DistribMulAction R Mᵒᵈ where
-  smul_add _ a := OrderDual.rec (fun _ b => OrderDual.rec (smul_add _ _) b) a
-  smul_zero r := OrderDual.rec (@smul_zero _ M _ _) r
-
-instance [OrderedSemiring R] [OrderedAddCommMonoid M] [SMulWithZero R M] [OrderedSMul R M] :
-    OrderedSMul R Mᵒᵈ where
-  smul_lt_smul_of_pos {a b} := @OrderedSMul.smul_lt_smul_of_pos R M _ _ _ _ b a
-  lt_of_smul_lt_smul_of_pos {a b} := @OrderedSMul.lt_of_smul_lt_smul_of_pos R M _ _ _ _ b a
-
-end OrderDual
+instance OrderDual.instOrderedSMul [OrderedSemiring R] [OrderedAddCommMonoid M] [SMulWithZero R M]
+    [OrderedSMul R M] : OrderedSMul R Mᵒᵈ where
+  smul_lt_smul_of_pos := OrderedSMul.smul_lt_smul_of_pos (M := M)
+  lt_of_smul_lt_smul_of_pos := OrderedSMul.lt_of_smul_lt_smul_of_pos (M := M)
 
 section OrderedSMul
 

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

@@ -337,7 +337,7 @@ theorem bddAbove_smul_iff_of_pos (hc : 0 < c) : BddAbove (c • s) ↔ BddAbove
 
 end LinearOrderedSemifield
 
-namespace Tactic
+namespace Mathlib.Meta.Positivity
 
 section OrderedSMul
 
@@ -364,54 +364,31 @@ private theorem smul_ne_zero_of_ne_zero_of_pos [Preorder M] (ha : a ≠ 0) (hb :
 
 end NoZeroSMulDivisors
 
--- Porting note: Tactic code not ported yet
--- open Positivity
-
--- -- failed to format: unknown constant 'term.pseudo.antiquot'
--- /--
---       Extension for the `Positivity` tactic: scalar multiplication is
---       nonnegative/positive/nonzero if both sides are. -/
---     @[ positivity ]
---     unsafe
---   def
---     positivity_smul
---     : expr → tactic strictness
---     |
---         e @ q( $ ( a ) • $ ( b ) )
---         =>
---         do
---           let strictness_a ← core a
---             let strictness_b ← core b
---             match
---               strictness_a , strictness_b
---               with
---               | positive pa , positive pb => positive <$> mk_app ` ` smul_pos [ pa , pb ]
---                 |
---                   positive pa , nonnegative pb
---                   =>
---                   nonnegative <$> mk_app ` ` smul_nonneg_of_pos_of_nonneg [ pa , pb ]
---                 |
---                   nonnegative pa , positive pb
---                   =>
---                   nonnegative <$> mk_app ` ` smul_nonneg_of_nonneg_of_pos [ pa , pb ]
---                 |
---                   nonnegative pa , nonnegative pb
---                   =>
---                   nonnegative <$> mk_app ` ` smul_nonneg [ pa , pb ]
---                 |
---                   positive pa , nonzero pb
---                   =>
---                   nonzero <$> to_expr ` `( smul_ne_zero_of_pos_of_ne_zero $ ( pa ) $ ( pb ) )
---                 |
---                   nonzero pa , positive pb
---                   =>
---                   nonzero <$> to_expr ` `( smul_ne_zero_of_ne_zero_of_pos $ ( pa ) $ ( pb ) )
---                 |
---                   nonzero pa , nonzero pb
---                   =>
---                   nonzero <$> to_expr ` `( smul_ne_zero $ ( pa ) $ ( pb ) )
---                 | sa @ _ , sb @ _ => positivity_fail e a b sa sb
---       | e => pp e >>= fail ∘ format.bracket "The expression `" "` isn't of the form `a • b`"
--- #align tactic.positivity_smul Tactic.positivity_smul
-
-end Tactic
+open Lean.Meta Qq
+
+/-- Positivity extension for HSMul, i.e. (_ • _).  -/
+@[positivity HSMul.hSMul _ _]
+def evalHSMul : PositivityExt where eval {_u α} zα pα (e : Q($α)) := do
+  let .app (.app (.app (.app (.app (.app
+        (.const ``HSMul.hSMul [u1, _, _]) (M : Q(Type u1))) _) _) _)
+          (a : Q($M))) (b : Q($α)) ← whnfR e | throwError "failed to match hSMul"
+  let zM : Q(Zero $M) ← synthInstanceQ (q(Zero $M))
+  let pM : Q(PartialOrder $M) ← synthInstanceQ (q(PartialOrder $M))
+  -- Using `q()` here would be impractical, as we would have to manually `synthInstanceQ` all the
+  -- required typeclasses. Ideally we could tell `q()` to do this automatically.
+  match ← core zM pM a, ← core zα pα b with
+  | .positive pa, .positive pb =>
+      pure (.positive (← mkAppM ``smul_pos #[pa, pb]))
+  | .positive pa, .nonnegative pb =>
+      pure (.nonnegative (← mkAppM ``smul_nonneg_of_pos_of_nonneg #[pa, pb]))
+  | .nonnegative pa, .positive pb =>
+      pure (.nonnegative (← mkAppM ``smul_nonneg_of_nonneg_of_pos #[pa, pb]))
+  | .nonnegative pa, .nonnegative pb =>
+      pure (.nonnegative (← mkAppM ``smul_nonneg #[pa, pb]))
+  | .positive pa, .nonzero pb =>
+      pure (.nonzero (← mkAppM ``smul_ne_zero_of_pos_of_ne_zero #[pa, pb]))
+  | .nonzero pa, .positive pb =>
+      pure (.nonzero (← mkAppM ``smul_ne_zero_of_ne_zero_of_pos #[pa, pb]))
+  | .nonzero pa, .nonzero pb =>
+      pure (.nonzero (← mkAppM ``smul_ne_zero #[pa, pb]))
+  | _, _ => pure .none

All lemmas and lemma names are taken from their mul counterpart.

@@ -53,7 +53,7 @@ class OrderedSMul (R M : Type*) [OrderedSemiring R] [OrderedAddCommMonoid M] [SM
   protected lt_of_smul_lt_smul_of_pos : ∀ {a b : M}, ∀ {c : R}, c • a < c • b → 0 < c → a < b
 #align ordered_smul OrderedSMul
 
-variable {ι 𝕜 R M N : Type*}
+variable {ι α β γ 𝕜 R M N : Type*}
 
 namespace OrderDual
 
@@ -63,11 +63,36 @@ instance OrderDual.instSMulWithZero [Zero R] [AddZeroClass M] [SMulWithZero R M]
     zero_smul := fun m => OrderDual.rec (zero_smul _) m
     smul_zero := fun r => OrderDual.rec (@smul_zero R M _ _) r }
 
+@[to_additive]
 instance OrderDual.instMulAction [Monoid R] [MulAction R M] : MulAction R Mᵒᵈ :=
   { OrderDual.instSMul with
     one_smul := fun m => OrderDual.rec (one_smul _) m
     mul_smul := fun r => OrderDual.rec (@mul_smul R M _ _) r }
 
+@[to_additive]
+instance OrderDual.instSMulCommClass [SMul β γ] [SMul α γ] [SMulCommClass α β γ] :
+    SMulCommClass αᵒᵈ β γ := ‹SMulCommClass α β γ›
+
+@[to_additive]
+instance OrderDual.instSMulCommClass' [SMul β γ] [SMul α γ] [SMulCommClass α β γ] :
+    SMulCommClass α βᵒᵈ γ := ‹SMulCommClass α β γ›
+
+@[to_additive]
+instance OrderDual.instSMulCommClass'' [SMul β γ] [SMul α γ] [SMulCommClass α β γ] :
+    SMulCommClass α β γᵒᵈ := ‹SMulCommClass α β γ›
+
+@[to_additive OrderDual.instVAddAssocClass]
+instance OrderDual.instIsScalarTower [SMul α β] [SMul β γ] [SMul α γ] [IsScalarTower α β γ] :
+   IsScalarTower αᵒᵈ β γ := ‹IsScalarTower α β γ›
+
+@[to_additive OrderDual.instVAddAssocClass']
+instance OrderDual.instIsScalarTower' [SMul α β] [SMul β γ] [SMul α γ] [IsScalarTower α β γ] :
+    IsScalarTower α βᵒᵈ γ := ‹IsScalarTower α β γ›
+
+@[to_additive OrderDual.instVAddAssocClass'']
+instance OrderDual.IsScalarTower'' [SMul α β] [SMul β γ] [SMul α γ] [IsScalarTower α β γ] :
+    IsScalarTower α β γᵒᵈ := ‹IsScalarTower α β γ›
+
 instance [MonoidWithZero R] [AddMonoid M] [MulActionWithZero R M] : MulActionWithZero R Mᵒᵈ :=
   { OrderDual.instMulAction, OrderDual.instSMulWithZero with }
 
@@ -99,6 +124,9 @@ variable [OrderedSemiring R] [OrderedAddCommMonoid M] [SMulWithZero R M] [Ordere
     · exact (smul_lt_smul_of_pos hab hc).le
 #align smul_le_smul_of_nonneg smul_le_smul_of_nonneg
 
+-- TODO: Remove `smul_le_smul_of_nonneg` completely
+alias smul_le_smul_of_nonneg_left := smul_le_smul_of_nonneg
+
 theorem smul_nonneg (hc : 0 ≤ c) (ha : 0 ≤ a) : 0 ≤ c • a :=
   calc
     (0 : M) = c • (0 : M) := (smul_zero c).symm

Forward-ports https://github.com/leanprover-community/mathlib/pull/18797

The changes to Mathlib.Data.Set.Intervals.Basic were independently added to mathlib4 in Mathlib.Data.Set.Intervals.Image, so the #aligns have been added there instead of the original file.

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

@@ -11,7 +11,7 @@ import Mathlib.Data.Set.Pointwise.SMul
 import Mathlib.Tactic.GCongr.Core
 import Mathlib.Tactic.Positivity
 
-#align_import algebra.order.smul from "leanprover-community/mathlib"@"9003f28797c0664a49e4179487267c494477d853"
+#align_import algebra.order.smul from "leanprover-community/mathlib"@"3ba15165bd6927679be7c22d6091a87337e3cd0c"
 
 /-!
 # Ordered scalar product
@@ -186,12 +186,25 @@ instance Int.orderedSMul [LinearOrderedAddCommGroup M] : OrderedSMul ℤ M :=
     · cases (Int.negSucc_not_pos _).1 hn
 #align int.ordered_smul Int.orderedSMul
 
+section LinearOrderedSemiring
+variable [LinearOrderedSemiring R] [LinearOrderedAddCommMonoid M] [SMulWithZero R M]
+  [OrderedSMul R M] {a : R}
+
 -- TODO: `LinearOrderedField M → OrderedSMul ℚ M`
-instance LinearOrderedSemiring.toOrderedSMul {R : Type*} [LinearOrderedSemiring R] :
-    OrderedSMul R R :=
+instance LinearOrderedSemiring.toOrderedSMul : OrderedSMul R R :=
   OrderedSMul.mk'' fun _ => strictMono_mul_left_of_pos
 #align linear_ordered_semiring.to_ordered_smul LinearOrderedSemiring.toOrderedSMul
 
+theorem smul_max (ha : 0 ≤ a) (b₁ b₂ : M) : a • max b₁ b₂ = max (a • b₁) (a • b₂) :=
+  (monotone_smul_left ha : Monotone (_ : M → M)).map_max
+#align smul_max smul_max
+
+theorem smul_min (ha : 0 ≤ a) (b₁ b₂ : M) : a • min b₁ b₂ = min (a • b₁) (a • b₂) :=
+  (monotone_smul_left ha : Monotone (_ : M → M)).map_min
+#align smul_min smul_min
+
+end LinearOrderedSemiring
+
 section LinearOrderedSemifield
 
 variable [LinearOrderedSemifield 𝕜] [OrderedAddCommMonoid M] [OrderedAddCommMonoid N]

@@ -57,19 +57,19 @@ variable {ι 𝕜 R M N : Type*}
 
 namespace OrderDual
 
-instance instSMulWithZeroOrderDual [Zero R] [AddZeroClass M] [SMulWithZero R M] :
+instance OrderDual.instSMulWithZero [Zero R] [AddZeroClass M] [SMulWithZero R M] :
     SMulWithZero R Mᵒᵈ :=
-  { instSMulOrderDual with
+  { OrderDual.instSMul with
     zero_smul := fun m => OrderDual.rec (zero_smul _) m
     smul_zero := fun r => OrderDual.rec (@smul_zero R M _ _) r }
 
-instance instMulActionOrderDual [Monoid R] [MulAction R M] : MulAction R Mᵒᵈ :=
-  { instSMulOrderDual with
+instance OrderDual.instMulAction [Monoid R] [MulAction R M] : MulAction R Mᵒᵈ :=
+  { OrderDual.instSMul with
     one_smul := fun m => OrderDual.rec (one_smul _) m
     mul_smul := fun r => OrderDual.rec (@mul_smul R M _ _) r }
 
 instance [MonoidWithZero R] [AddMonoid M] [MulActionWithZero R M] : MulActionWithZero R Mᵒᵈ :=
-  { instMulActionOrderDual, instSMulWithZeroOrderDual with }
+  { OrderDual.instMulAction, OrderDual.instSMulWithZero with }
 
 instance [MonoidWithZero R] [AddMonoid M] [DistribMulAction R M] : DistribMulAction R Mᵒᵈ where
   smul_add _ a := OrderDual.rec (fun _ b => OrderDual.rec (smul_add _ _) b) a

@@ -129,7 +129,7 @@ theorem smul_pos_iff_of_pos (hc : 0 < c) : 0 < c • a ↔ 0 < a :=
     _ ↔ 0 < a := smul_lt_smul_iff_of_pos hc
 #align smul_pos_iff_of_pos smul_pos_iff_of_pos
 
-alias smul_pos_iff_of_pos ↔ _ smul_pos
+alias ⟨_, smul_pos⟩ := smul_pos_iff_of_pos
 #align smul_pos smul_pos
 
 theorem monotone_smul_left (hc : 0 ≤ c) : Monotone (SMul.smul c : M → M) := fun _ _ h =>

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

This has nice performance benefits.

@@ -45,7 +45,7 @@ open Pointwise
 /-- The ordered scalar product property is when an ordered additive commutative monoid
 with a partial order has a scalar multiplication which is compatible with the order.
 -/
-class OrderedSMul (R M : Type _) [OrderedSemiring R] [OrderedAddCommMonoid M] [SMulWithZero R M] :
+class OrderedSMul (R M : Type*) [OrderedSemiring R] [OrderedAddCommMonoid M] [SMulWithZero R M] :
   Prop where
   /-- Scalar multiplication by positive elements preserves the order. -/
   protected smul_lt_smul_of_pos : ∀ {a b : M}, ∀ {c : R}, a < b → 0 < c → c • a < c • b
@@ -53,7 +53,7 @@ class OrderedSMul (R M : Type _) [OrderedSemiring R] [OrderedAddCommMonoid M] [S
   protected lt_of_smul_lt_smul_of_pos : ∀ {a b : M}, ∀ {c : R}, c • a < c • b → 0 < c → a < b
 #align ordered_smul OrderedSMul
 
-variable {ι 𝕜 R M N : Type _}
+variable {ι 𝕜 R M N : Type*}
 
 namespace OrderDual
 
@@ -187,7 +187,7 @@ instance Int.orderedSMul [LinearOrderedAddCommGroup M] : OrderedSMul ℤ M :=
 #align int.ordered_smul Int.orderedSMul
 
 -- TODO: `LinearOrderedField M → OrderedSMul ℚ M`
-instance LinearOrderedSemiring.toOrderedSMul {R : Type _} [LinearOrderedSemiring R] :
+instance LinearOrderedSemiring.toOrderedSMul {R : Type*} [LinearOrderedSemiring R] :
     OrderedSMul R R :=
   OrderedSMul.mk'' fun _ => strictMono_mul_left_of_pos
 #align linear_ordered_semiring.to_ordered_smul LinearOrderedSemiring.toOrderedSMul
@@ -217,7 +217,7 @@ instance [OrderedSMul 𝕜 M] [OrderedSMul 𝕜 N] : OrderedSMul 𝕜 (M × N) :
   OrderedSMul.mk' fun _ _ _ h hc =>
     ⟨smul_le_smul_of_nonneg h.1.1 hc.le, smul_le_smul_of_nonneg h.1.2 hc.le⟩
 
-instance Pi.orderedSMul {M : ι → Type _} [∀ i, OrderedAddCommMonoid (M i)]
+instance Pi.orderedSMul {M : ι → Type*} [∀ i, OrderedAddCommMonoid (M i)]
     [∀ i, MulActionWithZero 𝕜 (M i)] [∀ i, OrderedSMul 𝕜 (M i)] : OrderedSMul 𝕜 (∀ i, M i) :=
   OrderedSMul.mk' fun _ _ _ h hc i => smul_le_smul_of_nonneg (h.le i) hc.le
 #align pi.ordered_smul Pi.orderedSMul

Per https://github.com/leanprover/lean4/issues/2343, we are going to need to change the automatic generation of instance names, as they become too long.

This PR ensures that everywhere in Mathlib that refers to an instance by name, that name is given explicitly, rather than being automatically generated.

There are four exceptions, which are now commented, with links to https://github.com/leanprover/lean4/issues/2343.

This was implemented by running Mathlib against a modified Lean that appended _ᾰ to all automatically generated names, and fixing everything.

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

@@ -57,18 +57,19 @@ variable {ι 𝕜 R M N : Type _}
 
 namespace OrderDual
 
-instance [Zero R] [AddZeroClass M] [SMulWithZero R M] : SMulWithZero R Mᵒᵈ :=
+instance instSMulWithZeroOrderDual [Zero R] [AddZeroClass M] [SMulWithZero R M] :
+    SMulWithZero R Mᵒᵈ :=
   { instSMulOrderDual with
     zero_smul := fun m => OrderDual.rec (zero_smul _) m
     smul_zero := fun r => OrderDual.rec (@smul_zero R M _ _) r }
 
-instance [Monoid R] [MulAction R M] : MulAction R Mᵒᵈ :=
+instance instMulActionOrderDual [Monoid R] [MulAction R M] : MulAction R Mᵒᵈ :=
   { instSMulOrderDual with
     one_smul := fun m => OrderDual.rec (one_smul _) m
     mul_smul := fun r => OrderDual.rec (@mul_smul R M _ _) r }
 
 instance [MonoidWithZero R] [AddMonoid M] [MulActionWithZero R M] : MulActionWithZero R Mᵒᵈ :=
-  { instMulActionOrderDual , instSMulWithZeroOrderDualInstZeroOrderDualToZero with }
+  { instMulActionOrderDual, instSMulWithZeroOrderDual with }
 
 instance [MonoidWithZero R] [AddMonoid M] [DistribMulAction R M] : DistribMulAction R Mᵒᵈ where
   smul_add _ a := OrderDual.rec (fun _ b => OrderDual.rec (smul_add _ _) b) a

• 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) 2020 Frédéric Dupuis. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Frédéric Dupuis
-
-! This file was ported from Lean 3 source module algebra.order.smul
-! leanprover-community/mathlib commit 9003f28797c0664a49e4179487267c494477d853
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Module.Pi
 import Mathlib.Algebra.Module.Prod
@@ -16,6 +11,8 @@ import Mathlib.Data.Set.Pointwise.SMul
 import Mathlib.Tactic.GCongr.Core
 import Mathlib.Tactic.Positivity
 
+#align_import algebra.order.smul from "leanprover-community/mathlib"@"9003f28797c0664a49e4179487267c494477d853"
+
 /-!
 # Ordered scalar product
 

Changes are of the form

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

@@ -183,7 +183,7 @@ instance Nat.orderedSMul [LinearOrderedCancelAddCommMonoid M] : OrderedSMul ℕ
 instance Int.orderedSMul [LinearOrderedAddCommGroup M] : OrderedSMul ℤ M :=
   OrderedSMul.mk'' fun n hn => by
     cases n
-    · simp only [Int.ofNat_eq_coe, Int.coe_nat_pos, coe_nat_zsmul] at hn⊢
+    · simp only [Int.ofNat_eq_coe, Int.coe_nat_pos, coe_nat_zsmul] at hn ⊢
       exact strictMono_smul_left hn
     · cases (Int.negSucc_not_pos _).1 hn
 #align int.ordered_smul Int.orderedSMul

Following on from #4702, another hundred sample uses of the gcongr tactic.

@@ -13,6 +13,7 @@ import Mathlib.Algebra.Module.Prod
 import Mathlib.Algebra.Order.Monoid.Prod
 import Mathlib.Algebra.Order.Pi
 import Mathlib.Data.Set.Pointwise.SMul
+import Mathlib.Tactic.GCongr.Core
 import Mathlib.Tactic.Positivity
 
 /-!
@@ -88,11 +89,11 @@ section OrderedSMul
 variable [OrderedSemiring R] [OrderedAddCommMonoid M] [SMulWithZero R M] [OrderedSMul R M]
   {s : Set M} {a b : M} {c : R}
 
-theorem smul_lt_smul_of_pos : a < b → 0 < c → c • a < c • b :=
+@[gcongr] theorem smul_lt_smul_of_pos : a < b → 0 < c → c • a < c • b :=
   OrderedSMul.smul_lt_smul_of_pos
 #align smul_lt_smul_of_pos smul_lt_smul_of_pos
 
-theorem smul_le_smul_of_nonneg (h₁ : a ≤ b) (h₂ : 0 ≤ c) : c • a ≤ c • b := by
+@[gcongr] theorem smul_le_smul_of_nonneg (h₁ : a ≤ b) (h₂ : 0 ≤ c) : c • a ≤ c • b := by
   rcases h₁.eq_or_lt with (rfl | hab)
   · rfl
   · rcases h₂.eq_or_lt with (rfl | hc)

@@ -270,7 +270,7 @@ def OrderIso.smulLeft (hc : 0 < c) : M ≃o M where
   right_inv := smul_inv_smul₀ hc.ne'
   map_rel_iff' := smul_le_smul_iff_of_pos hc
 #align order_iso.smul_left OrderIso.smulLeft
-#align order_iso.smul_left_symm_apply OrderIso.smulLeft_symmApply
+#align order_iso.smul_left_symm_apply OrderIso.smulLeft_symm_apply
 #align order_iso.smul_left_apply OrderIso.smulLeft_apply
 
 variable {M}

This PR is the result of a slight variant on the following "algorithm"

• take all mathlib 3 names, remove _ and make all uppercase letters into lowercase
• take all mathlib 4 names, remove _ and make all uppercase letters into lowercase
• look for matches, and create pairs (original_lean3_name, OriginalLean4Name)
• for pairs that do not have an align statement:
  • use Lean 4 to lookup the file + position of the Lean 4 name
  • add an #align statement just before the next empty line
• manually fix some tiny mistakes (e.g., empty lines in proofs might cause the #align statement to have been inserted too early)

@@ -270,6 +270,8 @@ def OrderIso.smulLeft (hc : 0 < c) : M ≃o M where
   right_inv := smul_inv_smul₀ hc.ne'
   map_rel_iff' := smul_le_smul_iff_of_pos hc
 #align order_iso.smul_left OrderIso.smulLeft
+#align order_iso.smul_left_symm_apply OrderIso.smulLeft_symmApply
+#align order_iso.smul_left_apply OrderIso.smulLeft_apply
 
 variable {M}
 

Co-authored-by: qawbecrdtey <qawbecrdtey@kaist.ac.kr> Co-authored-by: qawbecrdtey <qawbecrdtey@naver.com> Co-authored-by: Lukas Miaskiwskyi <lukas.mias@gmail.com> Co-authored-by: antoinelab01 <66086247+antoinelab01@users.noreply.github.com>