topology.algebra.order.field ⟷ Mathlib.Topology.Algebra.Order.Field

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

@@ -80,7 +80,7 @@ theorem nhds_eq_map_hMul_left_nhds_one {x₀ : α} (hx₀ : x₀ ≠ 0) :
       _ = |x₀| * |x - 1| := (abs_mul x₀ (x - 1))
       _ < |x₀| * (i / |x₀|) := (mul_lt_mul' le_rfl hx (by positivity) (abs_pos.2 hx₀))
       _ = |x₀| * i / |x₀| := by ring
-      _ = i := mul_div_cancel_left i fun h => hx₀ (abs_eq_zero.1 h)
+      _ = i := mul_div_cancel_left₀ i fun h => hx₀ (abs_eq_zero.1 h)
   · obtain ⟨i, hi, hit⟩ := h
     refine' ⟨i * |x₀|, mul_pos hi (abs_pos.2 hx₀), fun x hx => _⟩
     have : |x / x₀ - 1| < i
@@ -91,7 +91,7 @@ theorem nhds_eq_map_hMul_left_nhds_one {x₀ : α} (hx₀ : x₀ ≠ 0) :
       _ < i * |x₀| / |x₀| := (div_lt_div_of_pos_right (abs_pos.2 hx₀) hx)
       _ = i := by rw [← mul_div_assoc', div_self (ne_of_lt <| abs_pos.2 hx₀).symm, mul_one]
     specialize hit (x / x₀) this
-    rwa [mul_div_assoc', mul_div_cancel_left x hx₀] at hit
+    rwa [mul_div_assoc', mul_div_cancel_left₀ x hx₀] at hit
 #align nhds_eq_map_mul_left_nhds_one nhds_eq_map_hMul_left_nhds_one
 
 theorem nhds_eq_map_hMul_right_nhds_one {x₀ : α} (hx₀ : x₀ ≠ 0) :
@@ -300,7 +300,7 @@ theorem Filter.Tendsto.inv_tendsto_zero (h : Tendsto f l (𝓝[>] 0)) : Tendsto
 A version for positive real powers exists as `tendsto_rpow_neg_at_top`. -/
 theorem tendsto_pow_neg_atTop {n : ℕ} (hn : n ≠ 0) :
     Tendsto (fun x : α => x ^ (-(n : ℤ))) atTop (𝓝 0) := by
-  simpa only [zpow_neg, zpow_coe_nat] using (@tendsto_pow_at_top α _ _ hn).inv_tendsto_atTop
+  simpa only [zpow_neg, zpow_natCast] using (@tendsto_pow_at_top α _ _ hn).inv_tendsto_atTop
 #align tendsto_pow_neg_at_top tendsto_pow_neg_atTop
 -/
 
@@ -349,8 +349,8 @@ theorem tendsto_const_mul_zpow_atTop_nhds_iff {n : ℤ} {c d : α} (hc : c ≠ 0
   refine' ⟨fun h => _, fun h => _⟩
   · by_cases hn : 0 ≤ n
     · lift n to ℕ using hn
-      simp only [zpow_coe_nat] at h
-      rw [tendsto_const_mul_pow_nhds_iff hc, ← Int.coe_nat_eq_zero] at h
+      simp only [zpow_natCast] at h
+      rw [tendsto_const_mul_pow_nhds_iff hc, ← Int.natCast_eq_zero] at h
       exact Or.inl h
     · rw [not_le] at hn
       refine' Or.inr ⟨hn, tendsto_nhds_unique h (tendsto_const_mul_zpow_atTop_zero hn)⟩
@@ -394,8 +394,8 @@ instance (priority := 100) LinearOrderedField.toTopologicalDivisionRing : Topolo
       refine' (mul_lt_mul'' h this (by positivity) (by positivity)).trans_le _
       rw [mul_comm, mul_min_of_nonneg _ _ aux.le]
       apply min_le_of_left_le
-      rw [← mul_div, ← mul_assoc, div_mul_cancel _ (sq_pos_of_pos ht).ne',
-        mul_div_cancel' ε two_ne_zero]
+      rw [← mul_div, ← mul_assoc, div_mul_cancel₀ _ (sq_pos_of_pos ht).ne',
+        mul_div_cancel₀ ε two_ne_zero]
     refine' inv_lt_of_inv_lt aux _
     rw [inv_div, abs_of_pos <| mul_pos ht hx', sq, ← mul_div_assoc']
     exact mul_lt_mul_of_pos_left hx ht

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

@@ -88,10 +88,10 @@ theorem nhds_eq_map_hMul_left_nhds_one {x₀ : α} (hx₀ : x₀ ≠ 0) :
       |x / x₀ - 1| = |x / x₀ - x₀ / x₀| := by rw [div_self hx₀]
       _ = |(x - x₀) / x₀| := (congr_arg abs (sub_div x x₀ x₀).symm)
       _ = |x - x₀| / |x₀| := (abs_div (x - x₀) x₀)
-      _ < i * |x₀| / |x₀| := (div_lt_div_of_lt (abs_pos.2 hx₀) hx)
+      _ < i * |x₀| / |x₀| := (div_lt_div_of_pos_right (abs_pos.2 hx₀) hx)
       _ = i := by rw [← mul_div_assoc', div_self (ne_of_lt <| abs_pos.2 hx₀).symm, mul_one]
     specialize hit (x / x₀) this
-    rwa [mul_div_assoc', mul_div_cancel_left x hx₀] at hit 
+    rwa [mul_div_assoc', mul_div_cancel_left x hx₀] at hit
 #align nhds_eq_map_mul_left_nhds_one nhds_eq_map_hMul_left_nhds_one
 
 theorem nhds_eq_map_hMul_right_nhds_one {x₀ : α} (hx₀ : x₀ ≠ 0) :
@@ -308,7 +308,7 @@ theorem tendsto_pow_neg_atTop {n : ℕ} (hn : n ≠ 0) :
 theorem tendsto_zpow_atTop_zero {n : ℤ} (hn : n < 0) : Tendsto (fun x : α => x ^ n) atTop (𝓝 0) :=
   by
   lift -n to ℕ using le_of_lt (neg_pos.mpr hn) with N
-  rw [← neg_pos, ← h, Nat.cast_pos] at hn 
+  rw [← neg_pos, ← h, Nat.cast_pos] at hn
   simpa only [h, neg_neg] using tendsto_pow_neg_atTop hn.ne'
 #align tendsto_zpow_at_top_zero tendsto_zpow_atTop_zero
 -/
@@ -349,10 +349,10 @@ theorem tendsto_const_mul_zpow_atTop_nhds_iff {n : ℤ} {c d : α} (hc : c ≠ 0
   refine' ⟨fun h => _, fun h => _⟩
   · by_cases hn : 0 ≤ n
     · lift n to ℕ using hn
-      simp only [zpow_coe_nat] at h 
-      rw [tendsto_const_mul_pow_nhds_iff hc, ← Int.coe_nat_eq_zero] at h 
+      simp only [zpow_coe_nat] at h
+      rw [tendsto_const_mul_pow_nhds_iff hc, ← Int.coe_nat_eq_zero] at h
       exact Or.inl h
-    · rw [not_le] at hn 
+    · rw [not_le] at hn
       refine' Or.inr ⟨hn, tendsto_nhds_unique h (tendsto_const_mul_zpow_atTop_zero hn)⟩
   · cases h
     · simp only [h.left, h.right, zpow_zero, mul_one]
@@ -383,7 +383,7 @@ instance (priority := 100) LinearOrderedField.toTopologicalDivisionRing : Topolo
     rintro ε ⟨hε : ε > 0, hεt : ε ≤ t⁻¹⟩
     refine' ⟨min (t ^ 2 * ε / 2) (t / 2), by positivity, fun x h => _⟩
     have hx : t / 2 < x := by
-      rw [Set.mem_Ioo, sub_lt_comm, lt_min_iff] at h 
+      rw [Set.mem_Ioo, sub_lt_comm, lt_min_iff] at h
       nlinarith
     have hx' : 0 < x := (half_pos ht).trans hx
     have aux : 0 < 2 / t ^ 2 := by positivity

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

@@ -300,7 +300,7 @@ theorem Filter.Tendsto.inv_tendsto_zero (h : Tendsto f l (𝓝[>] 0)) : Tendsto
 A version for positive real powers exists as `tendsto_rpow_neg_at_top`. -/
 theorem tendsto_pow_neg_atTop {n : ℕ} (hn : n ≠ 0) :
     Tendsto (fun x : α => x ^ (-(n : ℤ))) atTop (𝓝 0) := by
-  simpa only [zpow_neg, zpow_ofNat] using (@tendsto_pow_at_top α _ _ hn).inv_tendsto_atTop
+  simpa only [zpow_neg, zpow_coe_nat] using (@tendsto_pow_at_top α _ _ hn).inv_tendsto_atTop
 #align tendsto_pow_neg_at_top tendsto_pow_neg_atTop
 -/
 
@@ -349,7 +349,7 @@ theorem tendsto_const_mul_zpow_atTop_nhds_iff {n : ℤ} {c d : α} (hc : c ≠ 0
   refine' ⟨fun h => _, fun h => _⟩
   · by_cases hn : 0 ≤ n
     · lift n to ℕ using hn
-      simp only [zpow_ofNat] at h 
+      simp only [zpow_coe_nat] at h 
       rw [tendsto_const_mul_pow_nhds_iff hc, ← Int.coe_nat_eq_zero] at h 
       exact Or.inl h
     · rw [not_le] at hn 

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

@@ -3,10 +3,10 @@ Copyright (c) 2022 Benjamin Davidson. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Benjamin Davidson, Devon Tuma, Eric Rodriguez, Oliver Nash
 -/
-import Mathbin.Tactic.Positivity
+import Tactic.Positivity
 import Mathbin.Tactic.Linarith.Default
-import Mathbin.Topology.Algebra.Order.Group
-import Mathbin.Topology.Algebra.Field
+import Topology.Algebra.Order.Group
+import Topology.Algebra.Field
 
 #align_import topology.algebra.order.field from "leanprover-community/mathlib"@"f47581155c818e6361af4e4fda60d27d020c226b"
 

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

@@ -35,7 +35,7 @@ variable {l : Filter β} {f g : β → α}
 
 section continuous_mul
 
-theorem mul_tendsto_nhds_zero_right (x : α) :
+theorem hMul_tendsto_nhds_zero_right (x : α) :
     Tendsto (uncurry ((· * ·) : α → α → α)) (𝓝 0 ×ᶠ 𝓝 x) <| 𝓝 0 :=
   by
   have hx : 0 < 2 * (1 + |x|) := by positivity
@@ -50,22 +50,22 @@ theorem mul_tendsto_nhds_zero_right (x : α) :
     |b| = |b - x + x| := by rw [sub_add_cancel b x]
     _ ≤ |b - x| + |x| := (abs_add (b - x) x)
     _ ≤ 2 * (1 + |x|) := by linarith
-#align mul_tendsto_nhds_zero_right mul_tendsto_nhds_zero_right
+#align mul_tendsto_nhds_zero_right hMul_tendsto_nhds_zero_right
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
-theorem mul_tendsto_nhds_zero_left (x : α) :
+theorem hMul_tendsto_nhds_zero_left (x : α) :
     Tendsto (uncurry ((· * ·) : α → α → α)) (𝓝 x ×ᶠ 𝓝 0) <| 𝓝 0 :=
   by
   intro s hs
-  have := mul_tendsto_nhds_zero_right x hs
+  have := hMul_tendsto_nhds_zero_right x hs
   rw [Filter.mem_map, mem_prod_iff] at this ⊢
   obtain ⟨U, hU, V, hV, h⟩ := this
   exact
     ⟨V, hV, U, hU, fun y hy =>
       (mul_comm y.2 y.1 ▸ h (⟨hy.2, hy.1⟩ : Prod.mk y.2 y.1 ∈ U ×ˢ V) : y.1 * y.2 ∈ s)⟩
-#align mul_tendsto_nhds_zero_left mul_tendsto_nhds_zero_left
+#align mul_tendsto_nhds_zero_left hMul_tendsto_nhds_zero_left
 
-theorem nhds_eq_map_mul_left_nhds_one {x₀ : α} (hx₀ : x₀ ≠ 0) :
+theorem nhds_eq_map_hMul_left_nhds_one {x₀ : α} (hx₀ : x₀ ≠ 0) :
     𝓝 x₀ = map (fun x => x₀ * x) (𝓝 1) :=
   by
   have hx₀' : 0 < |x₀| := abs_pos.2 hx₀
@@ -92,14 +92,14 @@ theorem nhds_eq_map_mul_left_nhds_one {x₀ : α} (hx₀ : x₀ ≠ 0) :
       _ = i := by rw [← mul_div_assoc', div_self (ne_of_lt <| abs_pos.2 hx₀).symm, mul_one]
     specialize hit (x / x₀) this
     rwa [mul_div_assoc', mul_div_cancel_left x hx₀] at hit 
-#align nhds_eq_map_mul_left_nhds_one nhds_eq_map_mul_left_nhds_one
+#align nhds_eq_map_mul_left_nhds_one nhds_eq_map_hMul_left_nhds_one
 
-theorem nhds_eq_map_mul_right_nhds_one {x₀ : α} (hx₀ : x₀ ≠ 0) :
+theorem nhds_eq_map_hMul_right_nhds_one {x₀ : α} (hx₀ : x₀ ≠ 0) :
     𝓝 x₀ = map (fun x => x * x₀) (𝓝 1) := by
-  simp_rw [mul_comm _ x₀, nhds_eq_map_mul_left_nhds_one hx₀]
-#align nhds_eq_map_mul_right_nhds_one nhds_eq_map_mul_right_nhds_one
+  simp_rw [mul_comm _ x₀, nhds_eq_map_hMul_left_nhds_one hx₀]
+#align nhds_eq_map_mul_right_nhds_one nhds_eq_map_hMul_right_nhds_one
 
-theorem mul_tendsto_nhds_one_nhds_one :
+theorem hMul_tendsto_nhds_one_nhds_one :
     Tendsto (uncurry ((· * ·) : α → α → α)) (𝓝 1 ×ᶠ 𝓝 1) <| 𝓝 1 :=
   by
   rw [((nhds_basis_Ioo_pos (1 : α)).Prod <| nhds_basis_Ioo_pos (1 : α)).tendsto_iffₓ
@@ -131,7 +131,7 @@ theorem mul_tendsto_nhds_one_nhds_one :
             (by linarith))
           (1 + ε / 2))
       _ ≤ 1 + ε := by ring_nf
-#align mul_tendsto_nhds_one_nhds_one mul_tendsto_nhds_one_nhds_one
+#align mul_tendsto_nhds_one_nhds_one hMul_tendsto_nhds_one_nhds_one
 
 -- see Note [lower instance priority]
 instance (priority := 100) LinearOrderedField.continuousMul : ContinuousMul α :=
@@ -140,10 +140,10 @@ instance (priority := 100) LinearOrderedField.continuousMul : ContinuousMul α :
     rintro ⟨x₀, y₀⟩
     by_cases hx₀ : x₀ = 0
     · rw [hx₀, ContinuousAt, MulZeroClass.zero_mul, nhds_prod_eq]
-      exact mul_tendsto_nhds_zero_right y₀
+      exact hMul_tendsto_nhds_zero_right y₀
     by_cases hy₀ : y₀ = 0
     · rw [hy₀, ContinuousAt, MulZeroClass.mul_zero, nhds_prod_eq]
-      exact mul_tendsto_nhds_zero_left x₀
+      exact hMul_tendsto_nhds_zero_left x₀
     have hxy : x₀ * y₀ ≠ 0 := mul_ne_zero hx₀ hy₀
     have key :
       (fun p : α × α => x₀ * p.1 * (p.2 * y₀)) =
@@ -154,16 +154,16 @@ instance (priority := 100) LinearOrderedField.continuousMul : ContinuousMul α :
       map (uncurry (· * ·)) (𝓝 (x₀, y₀)) = map (uncurry (· * ·)) (𝓝 x₀ ×ᶠ 𝓝 y₀) := by
         rw [nhds_prod_eq]
       _ = map (fun p : α × α => x₀ * p.1 * (p.2 * y₀)) (𝓝 1 ×ᶠ 𝓝 1) := by
-        rw [uncurry, nhds_eq_map_mul_left_nhds_one hx₀, nhds_eq_map_mul_right_nhds_one hy₀,
+        rw [uncurry, nhds_eq_map_hMul_left_nhds_one hx₀, nhds_eq_map_hMul_right_nhds_one hy₀,
           prod_map_map_eq, Filter.map_map]
       _ = map ((fun x => x₀ * x) ∘ fun x => x * y₀) (map (uncurry (· * ·)) (𝓝 1 ×ᶠ 𝓝 1)) := by
         rw [key, ← Filter.map_map]
       _ ≤ map ((fun x : α => x₀ * x) ∘ fun x => x * y₀) (𝓝 1) :=
-        (map_mono mul_tendsto_nhds_one_nhds_one)
+        (map_mono hMul_tendsto_nhds_one_nhds_one)
       _ = 𝓝 (x₀ * y₀) := by
-        rw [← Filter.map_map, ← nhds_eq_map_mul_right_nhds_one hy₀,
-          nhds_eq_map_mul_left_nhds_one hy₀, Filter.map_map, key₂, ←
-          nhds_eq_map_mul_left_nhds_one hxy]⟩
+        rw [← Filter.map_map, ← nhds_eq_map_hMul_right_nhds_one hy₀,
+          nhds_eq_map_hMul_left_nhds_one hy₀, Filter.map_map, key₂, ←
+          nhds_eq_map_hMul_left_nhds_one hxy]⟩
 #align linear_ordered_field.has_continuous_mul LinearOrderedField.continuousMul
 
 end continuous_mul

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

@@ -2,17 +2,14 @@
 Copyright (c) 2022 Benjamin Davidson. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Benjamin Davidson, Devon Tuma, Eric Rodriguez, Oliver Nash
-
-! This file was ported from Lean 3 source module topology.algebra.order.field
-! leanprover-community/mathlib commit f47581155c818e6361af4e4fda60d27d020c226b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Tactic.Positivity
 import Mathbin.Tactic.Linarith.Default
 import Mathbin.Topology.Algebra.Order.Group
 import Mathbin.Topology.Algebra.Field
 
+#align_import topology.algebra.order.field from "leanprover-community/mathlib"@"f47581155c818e6361af4e4fda60d27d020c226b"
+
 /-!
 # Topologies on linear ordered fields
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/9240e8be927a0955b9a82c6c85ef499ee3a626b8

@@ -392,7 +392,7 @@ instance (priority := 100) LinearOrderedField.toTopologicalDivisionRing : Topolo
     have aux : 0 < 2 / t ^ 2 := by positivity
     rw [Set.mem_Ioo, ← sub_lt_iff_lt_add', sub_lt_comm, ← abs_sub_lt_iff] at h ⊢
     rw [inv_sub_inv ht.ne' hx'.ne', abs_div, div_eq_mul_inv]
-    suffices (|t * x|)⁻¹ < 2 / t ^ 2 by
+    suffices |t * x|⁻¹ < 2 / t ^ 2 by
       rw [← abs_neg, neg_sub]
       refine' (mul_lt_mul'' h this (by positivity) (by positivity)).trans_le _
       rw [mul_comm, mul_min_of_nonneg _ _ aux.le]

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

@@ -171,6 +171,7 @@ instance (priority := 100) LinearOrderedField.continuousMul : ContinuousMul α :
 
 end continuous_mul
 
+#print Filter.Tendsto.atTop_mul /-
 /-- In a linearly ordered field with the order topology, if `f` tends to `at_top` and `g` tends to
 a positive constant `C` then `f * g` tends to `at_top`. -/
 theorem Filter.Tendsto.atTop_mul {C : α} (hC : 0 < C) (hf : Tendsto f l atTop)
@@ -180,14 +181,18 @@ theorem Filter.Tendsto.atTop_mul {C : α} (hC : 0 < C) (hf : Tendsto f l atTop)
   filter_upwards [hg.eventually (lt_mem_nhds (half_lt_self hC)),
     hf.eventually (eventually_ge_at_top 0)] with x hg hf using mul_le_mul_of_nonneg_left hg.le hf
 #align filter.tendsto.at_top_mul Filter.Tendsto.atTop_mul
+-/
 
+#print Filter.Tendsto.mul_atTop /-
 /-- In a linearly ordered field with the order topology, if `f` tends to a positive constant `C` and
 `g` tends to `at_top` then `f * g` tends to `at_top`. -/
 theorem Filter.Tendsto.mul_atTop {C : α} (hC : 0 < C) (hf : Tendsto f l (𝓝 C))
     (hg : Tendsto g l atTop) : Tendsto (fun x => f x * g x) l atTop := by
   simpa only [mul_comm] using hg.at_top_mul hC hf
 #align filter.tendsto.mul_at_top Filter.Tendsto.mul_atTop
+-/
 
+#print Filter.Tendsto.atTop_mul_neg /-
 /-- In a linearly ordered field with the order topology, if `f` tends to `at_top` and `g` tends to
 a negative constant `C` then `f * g` tends to `at_bot`. -/
 theorem Filter.Tendsto.atTop_mul_neg {C : α} (hC : C < 0) (hf : Tendsto f l atTop)
@@ -195,14 +200,18 @@ theorem Filter.Tendsto.atTop_mul_neg {C : α} (hC : C < 0) (hf : Tendsto f l atT
   simpa only [(· ∘ ·), neg_mul_eq_mul_neg, neg_neg] using
     tendsto_neg_at_top_at_bot.comp (hf.at_top_mul (neg_pos.2 hC) hg.neg)
 #align filter.tendsto.at_top_mul_neg Filter.Tendsto.atTop_mul_neg
+-/
 
+#print Filter.Tendsto.neg_mul_atTop /-
 /-- In a linearly ordered field with the order topology, if `f` tends to a negative constant `C` and
 `g` tends to `at_top` then `f * g` tends to `at_bot`. -/
 theorem Filter.Tendsto.neg_mul_atTop {C : α} (hC : C < 0) (hf : Tendsto f l (𝓝 C))
     (hg : Tendsto g l atTop) : Tendsto (fun x => f x * g x) l atBot := by
   simpa only [mul_comm] using hg.at_top_mul_neg hC hf
 #align filter.tendsto.neg_mul_at_top Filter.Tendsto.neg_mul_atTop
+-/
 
+#print Filter.Tendsto.atBot_mul /-
 /-- In a linearly ordered field with the order topology, if `f` tends to `at_bot` and `g` tends to
 a positive constant `C` then `f * g` tends to `at_bot`. -/
 theorem Filter.Tendsto.atBot_mul {C : α} (hC : 0 < C) (hf : Tendsto f l atBot)
@@ -210,7 +219,9 @@ theorem Filter.Tendsto.atBot_mul {C : α} (hC : 0 < C) (hf : Tendsto f l atBot)
   simpa [(· ∘ ·)] using
     tendsto_neg_at_top_at_bot.comp ((tendsto_neg_at_bot_at_top.comp hf).atTop_mul hC hg)
 #align filter.tendsto.at_bot_mul Filter.Tendsto.atBot_mul
+-/
 
+#print Filter.Tendsto.atBot_mul_neg /-
 /-- In a linearly ordered field with the order topology, if `f` tends to `at_bot` and `g` tends to
 a negative constant `C` then `f * g` tends to `at_top`. -/
 theorem Filter.Tendsto.atBot_mul_neg {C : α} (hC : C < 0) (hf : Tendsto f l atBot)
@@ -218,21 +229,27 @@ theorem Filter.Tendsto.atBot_mul_neg {C : α} (hC : C < 0) (hf : Tendsto f l atB
   simpa [(· ∘ ·)] using
     tendsto_neg_at_bot_at_top.comp ((tendsto_neg_at_bot_at_top.comp hf).atTop_mul_neg hC hg)
 #align filter.tendsto.at_bot_mul_neg Filter.Tendsto.atBot_mul_neg
+-/
 
+#print Filter.Tendsto.mul_atBot /-
 /-- In a linearly ordered field with the order topology, if `f` tends to a positive constant `C` and
 `g` tends to `at_bot` then `f * g` tends to `at_bot`. -/
 theorem Filter.Tendsto.mul_atBot {C : α} (hC : 0 < C) (hf : Tendsto f l (𝓝 C))
     (hg : Tendsto g l atBot) : Tendsto (fun x => f x * g x) l atBot := by
   simpa only [mul_comm] using hg.at_bot_mul hC hf
 #align filter.tendsto.mul_at_bot Filter.Tendsto.mul_atBot
+-/
 
+#print Filter.Tendsto.neg_mul_atBot /-
 /-- In a linearly ordered field with the order topology, if `f` tends to a negative constant `C` and
 `g` tends to `at_bot` then `f * g` tends to `at_top`. -/
 theorem Filter.Tendsto.neg_mul_atBot {C : α} (hC : C < 0) (hf : Tendsto f l (𝓝 C))
     (hg : Tendsto g l atBot) : Tendsto (fun x => f x * g x) l atTop := by
   simpa only [mul_comm] using hg.at_bot_mul_neg hC hf
 #align filter.tendsto.neg_mul_at_bot Filter.Tendsto.neg_mul_atBot
+-/
 
+#print tendsto_inv_zero_atTop /-
 /-- The function `x ↦ x⁻¹` tends to `+∞` on the right of `0`. -/
 theorem tendsto_inv_zero_atTop : Tendsto (fun x : α => x⁻¹) (𝓝[>] (0 : α)) atTop :=
   by
@@ -241,7 +258,9 @@ theorem tendsto_inv_zero_atTop : Tendsto (fun x : α => x⁻¹) (𝓝[>] (0 : α
   filter_upwards [Ioc_mem_nhdsWithin_Ioi ⟨le_rfl, inv_pos.2 hb'⟩] with x hx using
     (le_inv hx.1 hb').1 hx.2
 #align tendsto_inv_zero_at_top tendsto_inv_zero_atTop
+-/
 
+#print tendsto_inv_atTop_zero' /-
 /-- The function `r ↦ r⁻¹` tends to `0` on the right as `r → +∞`. -/
 theorem tendsto_inv_atTop_zero' : Tendsto (fun r : α => r⁻¹) atTop (𝓝[>] (0 : α)) :=
   by
@@ -251,44 +270,60 @@ theorem tendsto_inv_atTop_zero' : Tendsto (fun r : α => r⁻¹) atTop (𝓝[>]
   have : 0 < x := lt_of_lt_of_le (inv_pos.2 hb) hx
   exact ⟨inv_pos.2 this, (inv_le this hb).2 hx⟩
 #align tendsto_inv_at_top_zero' tendsto_inv_atTop_zero'
+-/
 
+#print tendsto_inv_atTop_zero /-
 theorem tendsto_inv_atTop_zero : Tendsto (fun r : α => r⁻¹) atTop (𝓝 0) :=
   tendsto_inv_atTop_zero'.mono_right inf_le_left
 #align tendsto_inv_at_top_zero tendsto_inv_atTop_zero
+-/
 
+#print Filter.Tendsto.div_atTop /-
 theorem Filter.Tendsto.div_atTop [ContinuousMul α] {f g : β → α} {l : Filter β} {a : α}
     (h : Tendsto f l (𝓝 a)) (hg : Tendsto g l atTop) : Tendsto (fun x => f x / g x) l (𝓝 0) := by
   simp only [div_eq_mul_inv];
   exact MulZeroClass.mul_zero a ▸ h.mul (tendsto_inv_at_top_zero.comp hg)
 #align filter.tendsto.div_at_top Filter.Tendsto.div_atTop
+-/
 
+#print Filter.Tendsto.inv_tendsto_atTop /-
 theorem Filter.Tendsto.inv_tendsto_atTop (h : Tendsto f l atTop) : Tendsto f⁻¹ l (𝓝 0) :=
   tendsto_inv_atTop_zero.comp h
 #align filter.tendsto.inv_tendsto_at_top Filter.Tendsto.inv_tendsto_atTop
+-/
 
+#print Filter.Tendsto.inv_tendsto_zero /-
 theorem Filter.Tendsto.inv_tendsto_zero (h : Tendsto f l (𝓝[>] 0)) : Tendsto f⁻¹ l atTop :=
   tendsto_inv_zero_atTop.comp h
 #align filter.tendsto.inv_tendsto_zero Filter.Tendsto.inv_tendsto_zero
+-/
 
+#print tendsto_pow_neg_atTop /-
 /-- The function `x^(-n)` tends to `0` at `+∞` for any positive natural `n`.
 A version for positive real powers exists as `tendsto_rpow_neg_at_top`. -/
 theorem tendsto_pow_neg_atTop {n : ℕ} (hn : n ≠ 0) :
     Tendsto (fun x : α => x ^ (-(n : ℤ))) atTop (𝓝 0) := by
   simpa only [zpow_neg, zpow_ofNat] using (@tendsto_pow_at_top α _ _ hn).inv_tendsto_atTop
 #align tendsto_pow_neg_at_top tendsto_pow_neg_atTop
+-/
 
+#print tendsto_zpow_atTop_zero /-
 theorem tendsto_zpow_atTop_zero {n : ℤ} (hn : n < 0) : Tendsto (fun x : α => x ^ n) atTop (𝓝 0) :=
   by
   lift -n to ℕ using le_of_lt (neg_pos.mpr hn) with N
   rw [← neg_pos, ← h, Nat.cast_pos] at hn 
   simpa only [h, neg_neg] using tendsto_pow_neg_atTop hn.ne'
 #align tendsto_zpow_at_top_zero tendsto_zpow_atTop_zero
+-/
 
+#print tendsto_const_mul_zpow_atTop_zero /-
 theorem tendsto_const_mul_zpow_atTop_zero {n : ℤ} {c : α} (hn : n < 0) :
     Tendsto (fun x => c * x ^ n) atTop (𝓝 0) :=
   MulZeroClass.mul_zero c ▸ Filter.Tendsto.const_mul c (tendsto_zpow_atTop_zero hn)
 #align tendsto_const_mul_zpow_at_top_zero tendsto_const_mul_zpow_atTop_zero
+-/
 
+#print tendsto_const_mul_pow_nhds_iff' /-
 theorem tendsto_const_mul_pow_nhds_iff' {n : ℕ} {c d : α} :
     Tendsto (fun x : α => c * x ^ n) atTop (𝓝 d) ↔ (c = 0 ∨ n = 0) ∧ c = d :=
   by
@@ -301,12 +336,16 @@ theorem tendsto_const_mul_pow_nhds_iff' {n : ℕ} {c d : α} :
   · have := tendsto_const_mul_pow_at_top_iff.2 ⟨hn, hc⟩
     simp [not_tendsto_nhds_of_tendsto_atTop this, hc.ne', hn]
 #align tendsto_const_mul_pow_nhds_iff' tendsto_const_mul_pow_nhds_iff'
+-/
 
+#print tendsto_const_mul_pow_nhds_iff /-
 theorem tendsto_const_mul_pow_nhds_iff {n : ℕ} {c d : α} (hc : c ≠ 0) :
     Tendsto (fun x : α => c * x ^ n) atTop (𝓝 d) ↔ n = 0 ∧ c = d := by
   simp [tendsto_const_mul_pow_nhds_iff', hc]
 #align tendsto_const_mul_pow_nhds_iff tendsto_const_mul_pow_nhds_iff
+-/
 
+#print tendsto_const_mul_zpow_atTop_nhds_iff /-
 theorem tendsto_const_mul_zpow_atTop_nhds_iff {n : ℤ} {c d : α} (hc : c ≠ 0) :
     Tendsto (fun x : α => c * x ^ n) atTop (𝓝 d) ↔ n = 0 ∧ c = d ∨ n < 0 ∧ d = 0 :=
   by
@@ -323,6 +362,7 @@ theorem tendsto_const_mul_zpow_atTop_nhds_iff {n : ℤ} {c d : α} (hc : c ≠ 0
       exact tendsto_const_nhds
     · exact h.2.symm ▸ tendsto_const_mul_zpow_atTop_zero h.1
 #align tendsto_const_mul_zpow_at_top_nhds_iff tendsto_const_mul_zpow_atTop_nhds_iff
+-/
 
 #print LinearOrderedField.toTopologicalDivisionRing /-
 -- TODO: With a different proof, this could be possibly generalised to only require a
@@ -365,6 +405,7 @@ instance (priority := 100) LinearOrderedField.toTopologicalDivisionRing : Topolo
 #align linear_ordered_field.to_topological_division_ring LinearOrderedField.toTopologicalDivisionRing
 -/
 
+#print nhdsWithin_pos_comap_mul_left /-
 theorem nhdsWithin_pos_comap_mul_left {x : α} (hx : 0 < x) :
     comap (fun ε => x * ε) (𝓝[>] 0) = 𝓝[>] 0 :=
   by
@@ -382,11 +423,14 @@ theorem nhdsWithin_pos_comap_mul_left {x : α} (hx : 0 < x) :
   · exact (MulZeroClass.mul_zero _).symm
   · rw [image_const_mul_Ioi_zero hx]
 #align nhds_within_pos_comap_mul_left nhdsWithin_pos_comap_mul_left
+-/
 
+#print eventually_nhdsWithin_pos_mul_left /-
 theorem eventually_nhdsWithin_pos_mul_left {x : α} (hx : 0 < x) {p : α → Prop}
     (h : ∀ᶠ ε in 𝓝[>] 0, p ε) : ∀ᶠ ε in 𝓝[>] 0, p (x * ε) :=
   by
   convert h.comap fun ε => x * ε
   exact (nhdsWithin_pos_comap_mul_left hx).symm
 #align eventually_nhds_within_pos_mul_left eventually_nhdsWithin_pos_mul_left
+-/
 

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

@@ -53,7 +53,6 @@ theorem mul_tendsto_nhds_zero_right (x : α) :
     |b| = |b - x + x| := by rw [sub_add_cancel b x]
     _ ≤ |b - x| + |x| := (abs_add (b - x) x)
     _ ≤ 2 * (1 + |x|) := by linarith
-    
 #align mul_tendsto_nhds_zero_right mul_tendsto_nhds_zero_right
 
 /- ./././Mathport/Syntax/Translate/Expr.lean:177:8: unsupported: ambiguous notation -/
@@ -85,7 +84,6 @@ theorem nhds_eq_map_mul_left_nhds_one {x₀ : α} (hx₀ : x₀ ≠ 0) :
       _ < |x₀| * (i / |x₀|) := (mul_lt_mul' le_rfl hx (by positivity) (abs_pos.2 hx₀))
       _ = |x₀| * i / |x₀| := by ring
       _ = i := mul_div_cancel_left i fun h => hx₀ (abs_eq_zero.1 h)
-      
   · obtain ⟨i, hi, hit⟩ := h
     refine' ⟨i * |x₀|, mul_pos hi (abs_pos.2 hx₀), fun x hx => _⟩
     have : |x / x₀ - 1| < i
@@ -95,7 +93,6 @@ theorem nhds_eq_map_mul_left_nhds_one {x₀ : α} (hx₀ : x₀ ≠ 0) :
       _ = |x - x₀| / |x₀| := (abs_div (x - x₀) x₀)
       _ < i * |x₀| / |x₀| := (div_lt_div_of_lt (abs_pos.2 hx₀) hx)
       _ = i := by rw [← mul_div_assoc', div_self (ne_of_lt <| abs_pos.2 hx₀).symm, mul_one]
-      
     specialize hit (x / x₀) this
     rwa [mul_div_assoc', mul_div_cancel_left x hx₀] at hit 
 #align nhds_eq_map_mul_left_nhds_one nhds_eq_map_mul_left_nhds_one
@@ -126,7 +123,6 @@ theorem mul_tendsto_nhds_one_nhds_one :
       _ ≤ 1 - ε / 2 - ε / 2 + ε / 2 * (ε / 2) := (le_add_of_nonneg_right (by positivity))
       _ = (1 - ε / 2) * (1 - ε / 2) := by ring_nf
       _ ≤ (1 - ε / 4) * (1 - ε / 4) := mul_le_mul (by linarith) (by linarith) (by linarith) hε'
-      
   ·
     calc
       (1 + ε / 4) * (1 + ε / 4) = 1 + ε / 2 + ε / 4 * (ε / 4) := by ring_nf
@@ -138,7 +134,6 @@ theorem mul_tendsto_nhds_one_nhds_one :
             (by linarith))
           (1 + ε / 2))
       _ ≤ 1 + ε := by ring_nf
-      
 #align mul_tendsto_nhds_one_nhds_one mul_tendsto_nhds_one_nhds_one
 
 -- see Note [lower instance priority]
@@ -171,8 +166,7 @@ instance (priority := 100) LinearOrderedField.continuousMul : ContinuousMul α :
       _ = 𝓝 (x₀ * y₀) := by
         rw [← Filter.map_map, ← nhds_eq_map_mul_right_nhds_one hy₀,
           nhds_eq_map_mul_left_nhds_one hy₀, Filter.map_map, key₂, ←
-          nhds_eq_map_mul_left_nhds_one hxy]
-      ⟩
+          nhds_eq_map_mul_left_nhds_one hxy]⟩
 #align linear_ordered_field.has_continuous_mul LinearOrderedField.continuousMul
 
 end continuous_mul

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

@@ -184,7 +184,7 @@ theorem Filter.Tendsto.atTop_mul {C : α} (hC : 0 < C) (hf : Tendsto f l atTop)
   by
   refine' tendsto_at_top_mono' _ _ (hf.at_top_mul_const (half_pos hC))
   filter_upwards [hg.eventually (lt_mem_nhds (half_lt_self hC)),
-    hf.eventually (eventually_ge_at_top 0)]with x hg hf using mul_le_mul_of_nonneg_left hg.le hf
+    hf.eventually (eventually_ge_at_top 0)] with x hg hf using mul_le_mul_of_nonneg_left hg.le hf
 #align filter.tendsto.at_top_mul Filter.Tendsto.atTop_mul
 
 /-- In a linearly ordered field with the order topology, if `f` tends to a positive constant `C` and
@@ -244,8 +244,8 @@ theorem tendsto_inv_zero_atTop : Tendsto (fun x : α => x⁻¹) (𝓝[>] (0 : α
   by
   refine' (at_top_basis' 1).tendsto_right_iff.2 fun b hb => _
   have hb' : 0 < b := by positivity
-  filter_upwards [Ioc_mem_nhdsWithin_Ioi
-      ⟨le_rfl, inv_pos.2 hb'⟩]with x hx using(le_inv hx.1 hb').1 hx.2
+  filter_upwards [Ioc_mem_nhdsWithin_Ioi ⟨le_rfl, inv_pos.2 hb'⟩] with x hx using
+    (le_inv hx.1 hb').1 hx.2
 #align tendsto_inv_zero_at_top tendsto_inv_zero_atTop
 
 /-- The function `r ↦ r⁻¹` tends to `0` on the right as `r → +∞`. -/
@@ -343,7 +343,7 @@ instance (priority := 100) LinearOrderedField.toTopologicalDivisionRing : Topolo
       intro x hx
       cases hx.symm.lt_or_lt
       · exact this h
-      convert(this <| neg_pos.mpr h).neg.comp continuous_neg.continuous_at
+      convert (this <| neg_pos.mpr h).neg.comp continuous_neg.continuous_at
       ext
       simp [neg_inv]
     intro t ht

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

@@ -62,7 +62,7 @@ theorem mul_tendsto_nhds_zero_left (x : α) :
   by
   intro s hs
   have := mul_tendsto_nhds_zero_right x hs
-  rw [Filter.mem_map, mem_prod_iff] at this⊢
+  rw [Filter.mem_map, mem_prod_iff] at this ⊢
   obtain ⟨U, hU, V, hV, h⟩ := this
   exact
     ⟨V, hV, U, hU, fun y hy =>
@@ -97,7 +97,7 @@ theorem nhds_eq_map_mul_left_nhds_one {x₀ : α} (hx₀ : x₀ ≠ 0) :
       _ = i := by rw [← mul_div_assoc', div_self (ne_of_lt <| abs_pos.2 hx₀).symm, mul_one]
       
     specialize hit (x / x₀) this
-    rwa [mul_div_assoc', mul_div_cancel_left x hx₀] at hit
+    rwa [mul_div_assoc', mul_div_cancel_left x hx₀] at hit 
 #align nhds_eq_map_mul_left_nhds_one nhds_eq_map_mul_left_nhds_one
 
 theorem nhds_eq_map_mul_right_nhds_one {x₀ : α} (hx₀ : x₀ ≠ 0) :
@@ -286,7 +286,7 @@ theorem tendsto_pow_neg_atTop {n : ℕ} (hn : n ≠ 0) :
 theorem tendsto_zpow_atTop_zero {n : ℤ} (hn : n < 0) : Tendsto (fun x : α => x ^ n) atTop (𝓝 0) :=
   by
   lift -n to ℕ using le_of_lt (neg_pos.mpr hn) with N
-  rw [← neg_pos, ← h, Nat.cast_pos] at hn
+  rw [← neg_pos, ← h, Nat.cast_pos] at hn 
   simpa only [h, neg_neg] using tendsto_pow_neg_atTop hn.ne'
 #align tendsto_zpow_at_top_zero tendsto_zpow_atTop_zero
 
@@ -319,10 +319,10 @@ theorem tendsto_const_mul_zpow_atTop_nhds_iff {n : ℤ} {c d : α} (hc : c ≠ 0
   refine' ⟨fun h => _, fun h => _⟩
   · by_cases hn : 0 ≤ n
     · lift n to ℕ using hn
-      simp only [zpow_ofNat] at h
-      rw [tendsto_const_mul_pow_nhds_iff hc, ← Int.coe_nat_eq_zero] at h
+      simp only [zpow_ofNat] at h 
+      rw [tendsto_const_mul_pow_nhds_iff hc, ← Int.coe_nat_eq_zero] at h 
       exact Or.inl h
-    · rw [not_le] at hn
+    · rw [not_le] at hn 
       refine' Or.inr ⟨hn, tendsto_nhds_unique h (tendsto_const_mul_zpow_atTop_zero hn)⟩
   · cases h
     · simp only [h.left, h.right, zpow_zero, mul_one]
@@ -352,11 +352,11 @@ instance (priority := 100) LinearOrderedField.toTopologicalDivisionRing : Topolo
     rintro ε ⟨hε : ε > 0, hεt : ε ≤ t⁻¹⟩
     refine' ⟨min (t ^ 2 * ε / 2) (t / 2), by positivity, fun x h => _⟩
     have hx : t / 2 < x := by
-      rw [Set.mem_Ioo, sub_lt_comm, lt_min_iff] at h
+      rw [Set.mem_Ioo, sub_lt_comm, lt_min_iff] at h 
       nlinarith
     have hx' : 0 < x := (half_pos ht).trans hx
     have aux : 0 < 2 / t ^ 2 := by positivity
-    rw [Set.mem_Ioo, ← sub_lt_iff_lt_add', sub_lt_comm, ← abs_sub_lt_iff] at h⊢
+    rw [Set.mem_Ioo, ← sub_lt_iff_lt_add', sub_lt_comm, ← abs_sub_lt_iff] at h ⊢
     rw [inv_sub_inv ht.ne' hx'.ne', abs_div, div_eq_mul_inv]
     suffices (|t * x|)⁻¹ < 2 / t ^ 2 by
       rw [← abs_neg, neg_sub]

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

@@ -28,7 +28,7 @@ open Function
 
 open OrderDual (toDual ofDual)
 
-open Topology Classical Filter
+open scoped Topology Classical Filter
 
 variable {α β : Type _}
 

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

@@ -177,12 +177,6 @@ instance (priority := 100) LinearOrderedField.continuousMul : ContinuousMul α :
 
 end continuous_mul
 
-/- warning: filter.tendsto.at_top_mul -> Filter.Tendsto.atTop_mul is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) C) -> (Filter.Tendsto.{u2, u1} β α f l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α g l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
-but is expected to have type
-  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1))))))) C) -> (Filter.Tendsto.{u1, u2} β α f l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α g l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
-Case conversion may be inaccurate. Consider using '#align filter.tendsto.at_top_mul Filter.Tendsto.atTop_mulₓ'. -/
 /-- In a linearly ordered field with the order topology, if `f` tends to `at_top` and `g` tends to
 a positive constant `C` then `f * g` tends to `at_top`. -/
 theorem Filter.Tendsto.atTop_mul {C : α} (hC : 0 < C) (hf : Tendsto f l atTop)
@@ -193,12 +187,6 @@ theorem Filter.Tendsto.atTop_mul {C : α} (hC : 0 < C) (hf : Tendsto f l atTop)
     hf.eventually (eventually_ge_at_top 0)]with x hg hf using mul_le_mul_of_nonneg_left hg.le hf
 #align filter.tendsto.at_top_mul Filter.Tendsto.atTop_mul
 
-/- warning: filter.tendsto.mul_at_top -> Filter.Tendsto.mul_atTop is a dubious translation:
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-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) C) -> (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
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-  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1))))))) C) -> (Filter.Tendsto.{u1, u2} β α f l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α g l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
-Case conversion may be inaccurate. Consider using '#align filter.tendsto.mul_at_top Filter.Tendsto.mul_atTopₓ'. -/
 /-- In a linearly ordered field with the order topology, if `f` tends to a positive constant `C` and
 `g` tends to `at_top` then `f * g` tends to `at_top`. -/
 theorem Filter.Tendsto.mul_atTop {C : α} (hC : 0 < C) (hf : Tendsto f l (𝓝 C))
@@ -206,12 +194,6 @@ theorem Filter.Tendsto.mul_atTop {C : α} (hC : 0 < C) (hf : Tendsto f l (𝓝 C
   simpa only [mul_comm] using hg.at_top_mul hC hf
 #align filter.tendsto.mul_at_top Filter.Tendsto.mul_atTop
 
-/- warning: filter.tendsto.at_top_mul_neg -> Filter.Tendsto.atTop_mul_neg is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) C (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) -> (Filter.Tendsto.{u2, u1} β α f l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α g l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
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-  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) C (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1)))))))) -> (Filter.Tendsto.{u1, u2} β α f l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α g l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
-Case conversion may be inaccurate. Consider using '#align filter.tendsto.at_top_mul_neg Filter.Tendsto.atTop_mul_negₓ'. -/
 /-- In a linearly ordered field with the order topology, if `f` tends to `at_top` and `g` tends to
 a negative constant `C` then `f * g` tends to `at_bot`. -/
 theorem Filter.Tendsto.atTop_mul_neg {C : α} (hC : C < 0) (hf : Tendsto f l atTop)
@@ -220,12 +202,6 @@ theorem Filter.Tendsto.atTop_mul_neg {C : α} (hC : C < 0) (hf : Tendsto f l atT
     tendsto_neg_at_top_at_bot.comp (hf.at_top_mul (neg_pos.2 hC) hg.neg)
 #align filter.tendsto.at_top_mul_neg Filter.Tendsto.atTop_mul_neg
 
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-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) C (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) -> (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
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-  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) C (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1)))))))) -> (Filter.Tendsto.{u1, u2} β α f l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α g l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
-Case conversion may be inaccurate. Consider using '#align filter.tendsto.neg_mul_at_top Filter.Tendsto.neg_mul_atTopₓ'. -/
 /-- In a linearly ordered field with the order topology, if `f` tends to a negative constant `C` and
 `g` tends to `at_top` then `f * g` tends to `at_bot`. -/
 theorem Filter.Tendsto.neg_mul_atTop {C : α} (hC : C < 0) (hf : Tendsto f l (𝓝 C))
@@ -233,12 +209,6 @@ theorem Filter.Tendsto.neg_mul_atTop {C : α} (hC : C < 0) (hf : Tendsto f l (
   simpa only [mul_comm] using hg.at_top_mul_neg hC hf
 #align filter.tendsto.neg_mul_at_top Filter.Tendsto.neg_mul_atTop
 
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-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) C) -> (Filter.Tendsto.{u2, u1} β α f l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α g l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
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-Case conversion may be inaccurate. Consider using '#align filter.tendsto.at_bot_mul Filter.Tendsto.atBot_mulₓ'. -/
 /-- In a linearly ordered field with the order topology, if `f` tends to `at_bot` and `g` tends to
 a positive constant `C` then `f * g` tends to `at_bot`. -/
 theorem Filter.Tendsto.atBot_mul {C : α} (hC : 0 < C) (hf : Tendsto f l atBot)
@@ -247,12 +217,6 @@ theorem Filter.Tendsto.atBot_mul {C : α} (hC : 0 < C) (hf : Tendsto f l atBot)
     tendsto_neg_at_top_at_bot.comp ((tendsto_neg_at_bot_at_top.comp hf).atTop_mul hC hg)
 #align filter.tendsto.at_bot_mul Filter.Tendsto.atBot_mul
 
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-Case conversion may be inaccurate. Consider using '#align filter.tendsto.at_bot_mul_neg Filter.Tendsto.atBot_mul_negₓ'. -/
 /-- In a linearly ordered field with the order topology, if `f` tends to `at_bot` and `g` tends to
 a negative constant `C` then `f * g` tends to `at_top`. -/
 theorem Filter.Tendsto.atBot_mul_neg {C : α} (hC : C < 0) (hf : Tendsto f l atBot)
@@ -261,12 +225,6 @@ theorem Filter.Tendsto.atBot_mul_neg {C : α} (hC : C < 0) (hf : Tendsto f l atB
     tendsto_neg_at_bot_at_top.comp ((tendsto_neg_at_bot_at_top.comp hf).atTop_mul_neg hC hg)
 #align filter.tendsto.at_bot_mul_neg Filter.Tendsto.atBot_mul_neg
 
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-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) C) -> (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
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-  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1))))))) C) -> (Filter.Tendsto.{u1, u2} β α f l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α g l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
-Case conversion may be inaccurate. Consider using '#align filter.tendsto.mul_at_bot Filter.Tendsto.mul_atBotₓ'. -/
 /-- In a linearly ordered field with the order topology, if `f` tends to a positive constant `C` and
 `g` tends to `at_bot` then `f * g` tends to `at_bot`. -/
 theorem Filter.Tendsto.mul_atBot {C : α} (hC : 0 < C) (hf : Tendsto f l (𝓝 C))
@@ -274,12 +232,6 @@ theorem Filter.Tendsto.mul_atBot {C : α} (hC : 0 < C) (hf : Tendsto f l (𝓝 C
   simpa only [mul_comm] using hg.at_bot_mul hC hf
 #align filter.tendsto.mul_at_bot Filter.Tendsto.mul_atBot
 
-/- warning: filter.tendsto.neg_mul_at_bot -> Filter.Tendsto.neg_mul_atBot is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) C (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) -> (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
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-  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) C (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1)))))))) -> (Filter.Tendsto.{u1, u2} β α f l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α g l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
-Case conversion may be inaccurate. Consider using '#align filter.tendsto.neg_mul_at_bot Filter.Tendsto.neg_mul_atBotₓ'. -/
 /-- In a linearly ordered field with the order topology, if `f` tends to a negative constant `C` and
 `g` tends to `at_bot` then `f * g` tends to `at_top`. -/
 theorem Filter.Tendsto.neg_mul_atBot {C : α} (hC : C < 0) (hf : Tendsto f l (𝓝 C))
@@ -287,12 +239,6 @@ theorem Filter.Tendsto.neg_mul_atBot {C : α} (hC : C < 0) (hf : Tendsto f l (
   simpa only [mul_comm] using hg.at_bot_mul_neg hC hf
 #align filter.tendsto.neg_mul_at_bot Filter.Tendsto.neg_mul_atBot
 
-/- warning: tendsto_inv_zero_at_top -> tendsto_inv_zero_atTop is a dubious translation:
-lean 3 declaration is
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-  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))], Filter.Tendsto.{u1, u1} α α (fun (x : α) => Inv.inv.{u1} α (LinearOrderedField.toInv.{u1} α _inst_1) x) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))))) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))
-Case conversion may be inaccurate. Consider using '#align tendsto_inv_zero_at_top tendsto_inv_zero_atTopₓ'. -/
 /-- The function `x ↦ x⁻¹` tends to `+∞` on the right of `0`. -/
 theorem tendsto_inv_zero_atTop : Tendsto (fun x : α => x⁻¹) (𝓝[>] (0 : α)) atTop :=
   by
@@ -302,12 +248,6 @@ theorem tendsto_inv_zero_atTop : Tendsto (fun x : α => x⁻¹) (𝓝[>] (0 : α
       ⟨le_rfl, inv_pos.2 hb'⟩]with x hx using(le_inv hx.1 hb').1 hx.2
 #align tendsto_inv_zero_at_top tendsto_inv_zero_atTop
 
-/- warning: tendsto_inv_at_top_zero' -> tendsto_inv_atTop_zero' is a dubious translation:
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-  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))], Filter.Tendsto.{u1, u1} α α (fun (r : α) => Inv.inv.{u1} α (LinearOrderedField.toInv.{u1} α _inst_1) r) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))
-Case conversion may be inaccurate. Consider using '#align tendsto_inv_at_top_zero' tendsto_inv_atTop_zero'ₓ'. -/
 /-- The function `r ↦ r⁻¹` tends to `0` on the right as `r → +∞`. -/
 theorem tendsto_inv_atTop_zero' : Tendsto (fun r : α => r⁻¹) atTop (𝓝[>] (0 : α)) :=
   by
@@ -318,54 +258,24 @@ theorem tendsto_inv_atTop_zero' : Tendsto (fun r : α => r⁻¹) atTop (𝓝[>]
   exact ⟨inv_pos.2 this, (inv_le this hb).2 hx⟩
 #align tendsto_inv_at_top_zero' tendsto_inv_atTop_zero'
 
-/- warning: tendsto_inv_at_top_zero -> tendsto_inv_atTop_zero is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align tendsto_inv_at_top_zero tendsto_inv_atTop_zeroₓ'. -/
 theorem tendsto_inv_atTop_zero : Tendsto (fun r : α => r⁻¹) atTop (𝓝 0) :=
   tendsto_inv_atTop_zero'.mono_right inf_le_left
 #align tendsto_inv_at_top_zero tendsto_inv_atTop_zero
 
-/- warning: filter.tendsto.div_at_top -> Filter.Tendsto.div_atTop is a dubious translation:
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-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] [_inst_4 : ContinuousMul.{u1} α _inst_2 (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {f : β -> α} {g : β -> α} {l : Filter.{u2} β} {a : α}, (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 a)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (DivInvMonoid.toHasDiv.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))) (f x) (g x)) l (nhds.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))
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-Case conversion may be inaccurate. Consider using '#align filter.tendsto.div_at_top Filter.Tendsto.div_atTopₓ'. -/
 theorem Filter.Tendsto.div_atTop [ContinuousMul α] {f g : β → α} {l : Filter β} {a : α}
     (h : Tendsto f l (𝓝 a)) (hg : Tendsto g l atTop) : Tendsto (fun x => f x / g x) l (𝓝 0) := by
   simp only [div_eq_mul_inv];
   exact MulZeroClass.mul_zero a ▸ h.mul (tendsto_inv_at_top_zero.comp hg)
 #align filter.tendsto.div_at_top Filter.Tendsto.div_atTop
 
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-Case conversion may be inaccurate. Consider using '#align filter.tendsto.inv_tendsto_at_top Filter.Tendsto.inv_tendsto_atTopₓ'. -/
 theorem Filter.Tendsto.inv_tendsto_atTop (h : Tendsto f l atTop) : Tendsto f⁻¹ l (𝓝 0) :=
   tendsto_inv_atTop_zero.comp h
 #align filter.tendsto.inv_tendsto_at_top Filter.Tendsto.inv_tendsto_atTop
 
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-Case conversion may be inaccurate. Consider using '#align filter.tendsto.inv_tendsto_zero Filter.Tendsto.inv_tendsto_zeroₓ'. -/
 theorem Filter.Tendsto.inv_tendsto_zero (h : Tendsto f l (𝓝[>] 0)) : Tendsto f⁻¹ l atTop :=
   tendsto_inv_zero_atTop.comp h
 #align filter.tendsto.inv_tendsto_zero Filter.Tendsto.inv_tendsto_zero
 
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-Case conversion may be inaccurate. Consider using '#align tendsto_pow_neg_at_top tendsto_pow_neg_atTopₓ'. -/
 /-- The function `x^(-n)` tends to `0` at `+∞` for any positive natural `n`.
 A version for positive real powers exists as `tendsto_rpow_neg_at_top`. -/
 theorem tendsto_pow_neg_atTop {n : ℕ} (hn : n ≠ 0) :
@@ -373,12 +283,6 @@ theorem tendsto_pow_neg_atTop {n : ℕ} (hn : n ≠ 0) :
   simpa only [zpow_neg, zpow_ofNat] using (@tendsto_pow_at_top α _ _ hn).inv_tendsto_atTop
 #align tendsto_pow_neg_at_top tendsto_pow_neg_atTop
 
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-Case conversion may be inaccurate. Consider using '#align tendsto_zpow_at_top_zero tendsto_zpow_atTop_zeroₓ'. -/
 theorem tendsto_zpow_atTop_zero {n : ℤ} (hn : n < 0) : Tendsto (fun x : α => x ^ n) atTop (𝓝 0) :=
   by
   lift -n to ℕ using le_of_lt (neg_pos.mpr hn) with N
@@ -386,23 +290,11 @@ theorem tendsto_zpow_atTop_zero {n : ℤ} (hn : n < 0) : Tendsto (fun x : α =>
   simpa only [h, neg_neg] using tendsto_pow_neg_atTop hn.ne'
 #align tendsto_zpow_at_top_zero tendsto_zpow_atTop_zero
 
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-Case conversion may be inaccurate. Consider using '#align tendsto_const_mul_zpow_at_top_zero tendsto_const_mul_zpow_atTop_zeroₓ'. -/
 theorem tendsto_const_mul_zpow_atTop_zero {n : ℤ} {c : α} (hn : n < 0) :
     Tendsto (fun x => c * x ^ n) atTop (𝓝 0) :=
   MulZeroClass.mul_zero c ▸ Filter.Tendsto.const_mul c (tendsto_zpow_atTop_zero hn)
 #align tendsto_const_mul_zpow_at_top_zero tendsto_const_mul_zpow_atTop_zero
 
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-Case conversion may be inaccurate. Consider using '#align tendsto_const_mul_pow_nhds_iff' tendsto_const_mul_pow_nhds_iff'ₓ'. -/
 theorem tendsto_const_mul_pow_nhds_iff' {n : ℕ} {c d : α} :
     Tendsto (fun x : α => c * x ^ n) atTop (𝓝 d) ↔ (c = 0 ∨ n = 0) ∧ c = d :=
   by
@@ -416,23 +308,11 @@ theorem tendsto_const_mul_pow_nhds_iff' {n : ℕ} {c d : α} :
     simp [not_tendsto_nhds_of_tendsto_atTop this, hc.ne', hn]
 #align tendsto_const_mul_pow_nhds_iff' tendsto_const_mul_pow_nhds_iff'
 
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-Case conversion may be inaccurate. Consider using '#align tendsto_const_mul_pow_nhds_iff tendsto_const_mul_pow_nhds_iffₓ'. -/
 theorem tendsto_const_mul_pow_nhds_iff {n : ℕ} {c d : α} (hc : c ≠ 0) :
     Tendsto (fun x : α => c * x ^ n) atTop (𝓝 d) ↔ n = 0 ∧ c = d := by
   simp [tendsto_const_mul_pow_nhds_iff', hc]
 #align tendsto_const_mul_pow_nhds_iff tendsto_const_mul_pow_nhds_iff
 
-/- warning: tendsto_const_mul_zpow_at_top_nhds_iff -> tendsto_const_mul_zpow_atTop_nhds_iff is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align tendsto_const_mul_zpow_at_top_nhds_iff tendsto_const_mul_zpow_atTop_nhds_iffₓ'. -/
 theorem tendsto_const_mul_zpow_atTop_nhds_iff {n : ℤ} {c d : α} (hc : c ≠ 0) :
     Tendsto (fun x : α => c * x ^ n) atTop (𝓝 d) ↔ n = 0 ∧ c = d ∨ n < 0 ∧ d = 0 :=
   by
@@ -491,12 +371,6 @@ instance (priority := 100) LinearOrderedField.toTopologicalDivisionRing : Topolo
 #align linear_ordered_field.to_topological_division_ring LinearOrderedField.toTopologicalDivisionRing
 -/
 
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-Case conversion may be inaccurate. Consider using '#align nhds_within_pos_comap_mul_left nhdsWithin_pos_comap_mul_leftₓ'. -/
 theorem nhdsWithin_pos_comap_mul_left {x : α} (hx : 0 < x) :
     comap (fun ε => x * ε) (𝓝[>] 0) = 𝓝[>] 0 :=
   by
@@ -515,12 +389,6 @@ theorem nhdsWithin_pos_comap_mul_left {x : α} (hx : 0 < x) :
   · rw [image_const_mul_Ioi_zero hx]
 #align nhds_within_pos_comap_mul_left nhdsWithin_pos_comap_mul_left
 
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-  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {x : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) x) -> (forall {p : α -> Prop}, (Filter.Eventually.{u1} α (fun (ε : α) => p ε) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))) -> (Filter.Eventually.{u1} α (fun (ε : α) => p (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) x ε)) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))))
-but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))] {x : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) x) -> (forall {p : α -> Prop}, (Filter.Eventually.{u1} α (fun (ε : α) => p ε) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))) -> (Filter.Eventually.{u1} α (fun (ε : α) => p (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (NonUnitalNonAssocRing.toMul.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (DivisionRing.toRing.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))))) x ε)) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))))
-Case conversion may be inaccurate. Consider using '#align eventually_nhds_within_pos_mul_left eventually_nhdsWithin_pos_mul_leftₓ'. -/
 theorem eventually_nhdsWithin_pos_mul_left {x : α} (hx : 0 < x) {p : α → Prop}
     (h : ∀ᶠ ε in 𝓝[>] 0, p ε) : ∀ᶠ ε in 𝓝[>] 0, p (x * ε) :=
   by

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

@@ -156,13 +156,8 @@ instance (priority := 100) LinearOrderedField.continuousMul : ContinuousMul α :
     have key :
       (fun p : α × α => x₀ * p.1 * (p.2 * y₀)) =
         ((fun x => x₀ * x) ∘ fun x => x * y₀) ∘ uncurry (· * ·) :=
-      by
-      ext p
-      simp [uncurry, mul_assoc]
-    have key₂ : ((fun x => x₀ * x) ∘ fun x => y₀ * x) = fun x => x₀ * y₀ * x :=
-      by
-      ext x
-      simp
+      by ext p; simp [uncurry, mul_assoc]
+    have key₂ : ((fun x => x₀ * x) ∘ fun x => y₀ * x) = fun x => x₀ * y₀ * x := by ext x; simp
     calc
       map (uncurry (· * ·)) (𝓝 (x₀, y₀)) = map (uncurry (· * ·)) (𝓝 x₀ ×ᶠ 𝓝 y₀) := by
         rw [nhds_prod_eq]
@@ -340,9 +335,8 @@ but is expected to have type
   forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))] {_inst_4 : Filter.{u2} β} {f : β -> α} {g : β -> α} {l : α}, (Filter.Tendsto.{u2, u1} β α f _inst_4 (nhds.{u1} α _inst_2 l)) -> (Filter.Tendsto.{u2, u1} β α g _inst_4 (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (LinearOrderedField.toDiv.{u1} α _inst_1)) (f x) (g x)) _inst_4 (nhds.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))
 Case conversion may be inaccurate. Consider using '#align filter.tendsto.div_at_top Filter.Tendsto.div_atTopₓ'. -/
 theorem Filter.Tendsto.div_atTop [ContinuousMul α] {f g : β → α} {l : Filter β} {a : α}
-    (h : Tendsto f l (𝓝 a)) (hg : Tendsto g l atTop) : Tendsto (fun x => f x / g x) l (𝓝 0) :=
-  by
-  simp only [div_eq_mul_inv]
+    (h : Tendsto f l (𝓝 a)) (hg : Tendsto g l atTop) : Tendsto (fun x => f x / g x) l (𝓝 0) := by
+  simp only [div_eq_mul_inv];
   exact MulZeroClass.mul_zero a ▸ h.mul (tendsto_inv_at_top_zero.comp hg)
 #align filter.tendsto.div_at_top Filter.Tendsto.div_atTop
 

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

@@ -387,7 +387,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align tendsto_zpow_at_top_zero tendsto_zpow_atTop_zeroₓ'. -/
 theorem tendsto_zpow_atTop_zero {n : ℤ} (hn : n < 0) : Tendsto (fun x : α => x ^ n) atTop (𝓝 0) :=
   by
-  lift -n to ℕ using le_of_lt (neg_pos.mpr hn)
+  lift -n to ℕ using le_of_lt (neg_pos.mpr hn) with N
   rw [← neg_pos, ← h, Nat.cast_pos] at hn
   simpa only [h, neg_neg] using tendsto_pow_neg_atTop hn.ne'
 #align tendsto_zpow_at_top_zero tendsto_zpow_atTop_zero

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

@@ -387,7 +387,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align tendsto_zpow_at_top_zero tendsto_zpow_atTop_zeroₓ'. -/
 theorem tendsto_zpow_atTop_zero {n : ℤ} (hn : n < 0) : Tendsto (fun x : α => x ^ n) atTop (𝓝 0) :=
   by
-  lift -n to ℕ using le_of_lt (neg_pos.mpr hn) with N
+  lift -n to ℕ using le_of_lt (neg_pos.mpr hn)
   rw [← neg_pos, ← h, Nat.cast_pos] at hn
   simpa only [h, neg_neg] using tendsto_pow_neg_atTop hn.ne'
 #align tendsto_zpow_at_top_zero tendsto_zpow_atTop_zero

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

@@ -184,7 +184,7 @@ end continuous_mul
 
 /- warning: filter.tendsto.at_top_mul -> Filter.Tendsto.atTop_mul is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) C) -> (Filter.Tendsto.{u2, u1} β α f l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α g l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) C) -> (Filter.Tendsto.{u2, u1} β α f l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α g l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
 but is expected to have type
   forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1))))))) C) -> (Filter.Tendsto.{u1, u2} β α f l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α g l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align filter.tendsto.at_top_mul Filter.Tendsto.atTop_mulₓ'. -/
@@ -200,7 +200,7 @@ theorem Filter.Tendsto.atTop_mul {C : α} (hC : 0 < C) (hf : Tendsto f l atTop)
 
 /- warning: filter.tendsto.mul_at_top -> Filter.Tendsto.mul_atTop is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) C) -> (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) C) -> (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
 but is expected to have type
   forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1))))))) C) -> (Filter.Tendsto.{u1, u2} β α f l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α g l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align filter.tendsto.mul_at_top Filter.Tendsto.mul_atTopₓ'. -/
@@ -213,7 +213,7 @@ theorem Filter.Tendsto.mul_atTop {C : α} (hC : 0 < C) (hf : Tendsto f l (𝓝 C
 
 /- warning: filter.tendsto.at_top_mul_neg -> Filter.Tendsto.atTop_mul_neg is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) C (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) -> (Filter.Tendsto.{u2, u1} β α f l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α g l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) C (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) -> (Filter.Tendsto.{u2, u1} β α f l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α g l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
 but is expected to have type
   forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) C (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1)))))))) -> (Filter.Tendsto.{u1, u2} β α f l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α g l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align filter.tendsto.at_top_mul_neg Filter.Tendsto.atTop_mul_negₓ'. -/
@@ -227,7 +227,7 @@ theorem Filter.Tendsto.atTop_mul_neg {C : α} (hC : C < 0) (hf : Tendsto f l atT
 
 /- warning: filter.tendsto.neg_mul_at_top -> Filter.Tendsto.neg_mul_atTop is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) C (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) -> (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) C (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) -> (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
 but is expected to have type
   forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) C (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1)))))))) -> (Filter.Tendsto.{u1, u2} β α f l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α g l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align filter.tendsto.neg_mul_at_top Filter.Tendsto.neg_mul_atTopₓ'. -/
@@ -240,7 +240,7 @@ theorem Filter.Tendsto.neg_mul_atTop {C : α} (hC : C < 0) (hf : Tendsto f l (
 
 /- warning: filter.tendsto.at_bot_mul -> Filter.Tendsto.atBot_mul is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) C) -> (Filter.Tendsto.{u2, u1} β α f l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α g l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) C) -> (Filter.Tendsto.{u2, u1} β α f l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α g l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
 but is expected to have type
   forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1))))))) C) -> (Filter.Tendsto.{u1, u2} β α f l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α g l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align filter.tendsto.at_bot_mul Filter.Tendsto.atBot_mulₓ'. -/
@@ -254,7 +254,7 @@ theorem Filter.Tendsto.atBot_mul {C : α} (hC : 0 < C) (hf : Tendsto f l atBot)
 
 /- warning: filter.tendsto.at_bot_mul_neg -> Filter.Tendsto.atBot_mul_neg is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) C (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) -> (Filter.Tendsto.{u2, u1} β α f l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α g l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) C (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) -> (Filter.Tendsto.{u2, u1} β α f l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α g l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
 but is expected to have type
   forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) C (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1)))))))) -> (Filter.Tendsto.{u1, u2} β α f l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α g l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align filter.tendsto.at_bot_mul_neg Filter.Tendsto.atBot_mul_negₓ'. -/
@@ -268,7 +268,7 @@ theorem Filter.Tendsto.atBot_mul_neg {C : α} (hC : C < 0) (hf : Tendsto f l atB
 
 /- warning: filter.tendsto.mul_at_bot -> Filter.Tendsto.mul_atBot is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) C) -> (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) C) -> (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
 but is expected to have type
   forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1))))))) C) -> (Filter.Tendsto.{u1, u2} β α f l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α g l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align filter.tendsto.mul_at_bot Filter.Tendsto.mul_atBotₓ'. -/
@@ -281,7 +281,7 @@ theorem Filter.Tendsto.mul_atBot {C : α} (hC : 0 < C) (hf : Tendsto f l (𝓝 C
 
 /- warning: filter.tendsto.neg_mul_at_bot -> Filter.Tendsto.neg_mul_atBot is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) C (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) -> (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) C (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) -> (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
 but is expected to have type
   forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) C (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1)))))))) -> (Filter.Tendsto.{u1, u2} β α f l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α g l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align filter.tendsto.neg_mul_at_bot Filter.Tendsto.neg_mul_atBotₓ'. -/
@@ -499,7 +499,7 @@ instance (priority := 100) LinearOrderedField.toTopologicalDivisionRing : Topolo
 
 /- warning: nhds_within_pos_comap_mul_left -> nhdsWithin_pos_comap_mul_left is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {x : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) x) -> (Eq.{succ u1} (Filter.{u1} α) (Filter.comap.{u1, u1} α α (fun (ε : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) x ε) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))))))
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {x : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) x) -> (Eq.{succ u1} (Filter.{u1} α) (Filter.comap.{u1, u1} α α (fun (ε : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) x ε) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))))))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))] {x : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) x) -> (Eq.{succ u1} (Filter.{u1} α) (Filter.comap.{u1, u1} α α (fun (ε : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (NonUnitalNonAssocRing.toMul.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (DivisionRing.toRing.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))))) x ε) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))))))
 Case conversion may be inaccurate. Consider using '#align nhds_within_pos_comap_mul_left nhdsWithin_pos_comap_mul_leftₓ'. -/
@@ -523,7 +523,7 @@ theorem nhdsWithin_pos_comap_mul_left {x : α} (hx : 0 < x) :
 
 /- warning: eventually_nhds_within_pos_mul_left -> eventually_nhdsWithin_pos_mul_left is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {x : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) x) -> (forall {p : α -> Prop}, (Filter.Eventually.{u1} α (fun (ε : α) => p ε) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))) -> (Filter.Eventually.{u1} α (fun (ε : α) => p (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) x ε)) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))))
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {x : α}, (LT.lt.{u1} α (Preorder.toHasLt.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) x) -> (forall {p : α -> Prop}, (Filter.Eventually.{u1} α (fun (ε : α) => p ε) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))) -> (Filter.Eventually.{u1} α (fun (ε : α) => p (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) x ε)) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))] {x : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) x) -> (forall {p : α -> Prop}, (Filter.Eventually.{u1} α (fun (ε : α) => p ε) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))) -> (Filter.Eventually.{u1} α (fun (ε : α) => p (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (NonUnitalNonAssocRing.toMul.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (DivisionRing.toRing.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))))) x ε)) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))))
 Case conversion may be inaccurate. Consider using '#align eventually_nhds_within_pos_mul_left eventually_nhdsWithin_pos_mul_leftₓ'. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/da3fc4a33ff6bc75f077f691dc94c217b8d41559

@@ -370,7 +370,7 @@ theorem Filter.Tendsto.inv_tendsto_zero (h : Tendsto f l (𝓝[>] 0)) : Tendsto
 lean 3 declaration is
   forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) -> (Filter.Tendsto.{u1, u1} α α (fun (x : α) => HPow.hPow.{u1, 0, u1} α Int α (instHPow.{u1, 0} α Int (DivInvMonoid.Pow.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))) x (Neg.neg.{0} Int Int.hasNeg ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Int (HasLiftT.mk.{1, 1} Nat Int (CoeTCₓ.coe.{1, 1} Nat Int (coeBase.{1, 1} Nat Int Int.hasCoe))) n))) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (nhds.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))
 but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))] {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (Filter.Tendsto.{u1, u1} α α (fun (x : α) => HPow.hPow.{u1, 0, u1} α Int α (instHPow.{u1, 0} α Int (DivInvMonoid.Pow.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))) x (Neg.neg.{0} Int Int.instNegInt (Nat.cast.{0} Int Int.instNatCastInt n))) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (nhds.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))] {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (Filter.Tendsto.{u1, u1} α α (fun (x : α) => HPow.hPow.{u1, 0, u1} α Int α (instHPow.{u1, 0} α Int (DivInvMonoid.Pow.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))) x (Neg.neg.{0} Int Int.instNegInt (Nat.cast.{0} Int instNatCastInt n))) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (nhds.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))
 Case conversion may be inaccurate. Consider using '#align tendsto_pow_neg_at_top tendsto_pow_neg_atTopₓ'. -/
 /-- The function `x^(-n)` tends to `0` at `+∞` for any positive natural `n`.
 A version for positive real powers exists as `tendsto_rpow_neg_at_top`. -/

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

@@ -469,7 +469,7 @@ instance (priority := 100) LinearOrderedField.toTopologicalDivisionRing : Topolo
       intro x hx
       cases hx.symm.lt_or_lt
       · exact this h
-      convert (this <| neg_pos.mpr h).neg.comp continuous_neg.continuous_at
+      convert(this <| neg_pos.mpr h).neg.comp continuous_neg.continuous_at
       ext
       simp [neg_inv]
     intro t ht

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

@@ -147,10 +147,10 @@ instance (priority := 100) LinearOrderedField.continuousMul : ContinuousMul α :
     rw [continuous_iff_continuousAt]
     rintro ⟨x₀, y₀⟩
     by_cases hx₀ : x₀ = 0
-    · rw [hx₀, ContinuousAt, zero_mul, nhds_prod_eq]
+    · rw [hx₀, ContinuousAt, MulZeroClass.zero_mul, nhds_prod_eq]
       exact mul_tendsto_nhds_zero_right y₀
     by_cases hy₀ : y₀ = 0
-    · rw [hy₀, ContinuousAt, mul_zero, nhds_prod_eq]
+    · rw [hy₀, ContinuousAt, MulZeroClass.mul_zero, nhds_prod_eq]
       exact mul_tendsto_nhds_zero_left x₀
     have hxy : x₀ * y₀ ≠ 0 := mul_ne_zero hx₀ hy₀
     have key :
@@ -343,7 +343,7 @@ theorem Filter.Tendsto.div_atTop [ContinuousMul α] {f g : β → α} {l : Filte
     (h : Tendsto f l (𝓝 a)) (hg : Tendsto g l atTop) : Tendsto (fun x => f x / g x) l (𝓝 0) :=
   by
   simp only [div_eq_mul_inv]
-  exact mul_zero a ▸ h.mul (tendsto_inv_at_top_zero.comp hg)
+  exact MulZeroClass.mul_zero a ▸ h.mul (tendsto_inv_at_top_zero.comp hg)
 #align filter.tendsto.div_at_top Filter.Tendsto.div_atTop
 
 /- warning: filter.tendsto.inv_tendsto_at_top -> Filter.Tendsto.inv_tendsto_atTop is a dubious translation:
@@ -400,7 +400,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align tendsto_const_mul_zpow_at_top_zero tendsto_const_mul_zpow_atTop_zeroₓ'. -/
 theorem tendsto_const_mul_zpow_atTop_zero {n : ℤ} {c : α} (hn : n < 0) :
     Tendsto (fun x => c * x ^ n) atTop (𝓝 0) :=
-  mul_zero c ▸ Filter.Tendsto.const_mul c (tendsto_zpow_atTop_zero hn)
+  MulZeroClass.mul_zero c ▸ Filter.Tendsto.const_mul c (tendsto_zpow_atTop_zero hn)
 #align tendsto_const_mul_zpow_at_top_zero tendsto_const_mul_zpow_atTop_zero
 
 /- warning: tendsto_const_mul_pow_nhds_iff' -> tendsto_const_mul_pow_nhds_iff' is a dubious translation:
@@ -517,7 +517,7 @@ theorem nhdsWithin_pos_comap_mul_left {x : α} (hx : 0 < x) :
     exact this (inv_pos.mpr hx)
   intro x hx
   convert nhdsWithin_le_comap (continuous_mul_left x).ContinuousWithinAt
-  · exact (mul_zero _).symm
+  · exact (MulZeroClass.mul_zero _).symm
   · rw [image_const_mul_Ioi_zero hx]
 #align nhds_within_pos_comap_mul_left nhdsWithin_pos_comap_mul_left
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/21e3562c5e12d846c7def5eff8cdbc520d7d4936

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Benjamin Davidson, Devon Tuma, Eric Rodriguez, Oliver Nash
 
 ! This file was ported from Lean 3 source module topology.algebra.order.field
-! leanprover-community/mathlib commit 9a59dcb7a2d06bf55da57b9030169219980660cd
+! leanprover-community/mathlib commit f47581155c818e6361af4e4fda60d27d020c226b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.Topology.Algebra.Field
 /-!
 # Topologies on linear ordered fields
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 -/
 
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/3b267e70a936eebb21ab546f49a8df34dd300b25

@@ -179,6 +179,12 @@ instance (priority := 100) LinearOrderedField.continuousMul : ContinuousMul α :
 
 end continuous_mul
 
+/- warning: filter.tendsto.at_top_mul -> Filter.Tendsto.atTop_mul is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) C) -> (Filter.Tendsto.{u2, u1} β α f l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α g l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
+but is expected to have type
+  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1))))))) C) -> (Filter.Tendsto.{u1, u2} β α f l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α g l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
+Case conversion may be inaccurate. Consider using '#align filter.tendsto.at_top_mul Filter.Tendsto.atTop_mulₓ'. -/
 /-- In a linearly ordered field with the order topology, if `f` tends to `at_top` and `g` tends to
 a positive constant `C` then `f * g` tends to `at_top`. -/
 theorem Filter.Tendsto.atTop_mul {C : α} (hC : 0 < C) (hf : Tendsto f l atTop)
@@ -189,6 +195,12 @@ theorem Filter.Tendsto.atTop_mul {C : α} (hC : 0 < C) (hf : Tendsto f l atTop)
     hf.eventually (eventually_ge_at_top 0)]with x hg hf using mul_le_mul_of_nonneg_left hg.le hf
 #align filter.tendsto.at_top_mul Filter.Tendsto.atTop_mul
 
+/- warning: filter.tendsto.mul_at_top -> Filter.Tendsto.mul_atTop is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) C) -> (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
+but is expected to have type
+  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1))))))) C) -> (Filter.Tendsto.{u1, u2} β α f l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α g l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
+Case conversion may be inaccurate. Consider using '#align filter.tendsto.mul_at_top Filter.Tendsto.mul_atTopₓ'. -/
 /-- In a linearly ordered field with the order topology, if `f` tends to a positive constant `C` and
 `g` tends to `at_top` then `f * g` tends to `at_top`. -/
 theorem Filter.Tendsto.mul_atTop {C : α} (hC : 0 < C) (hf : Tendsto f l (𝓝 C))
@@ -196,6 +208,12 @@ theorem Filter.Tendsto.mul_atTop {C : α} (hC : 0 < C) (hf : Tendsto f l (𝓝 C
   simpa only [mul_comm] using hg.at_top_mul hC hf
 #align filter.tendsto.mul_at_top Filter.Tendsto.mul_atTop
 
+/- warning: filter.tendsto.at_top_mul_neg -> Filter.Tendsto.atTop_mul_neg is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) C (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) -> (Filter.Tendsto.{u2, u1} β α f l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α g l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
+but is expected to have type
+  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) C (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1)))))))) -> (Filter.Tendsto.{u1, u2} β α f l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α g l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
+Case conversion may be inaccurate. Consider using '#align filter.tendsto.at_top_mul_neg Filter.Tendsto.atTop_mul_negₓ'. -/
 /-- In a linearly ordered field with the order topology, if `f` tends to `at_top` and `g` tends to
 a negative constant `C` then `f * g` tends to `at_bot`. -/
 theorem Filter.Tendsto.atTop_mul_neg {C : α} (hC : C < 0) (hf : Tendsto f l atTop)
@@ -204,6 +222,12 @@ theorem Filter.Tendsto.atTop_mul_neg {C : α} (hC : C < 0) (hf : Tendsto f l atT
     tendsto_neg_at_top_at_bot.comp (hf.at_top_mul (neg_pos.2 hC) hg.neg)
 #align filter.tendsto.at_top_mul_neg Filter.Tendsto.atTop_mul_neg
 
+/- warning: filter.tendsto.neg_mul_at_top -> Filter.Tendsto.neg_mul_atTop is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) C (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) -> (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
+but is expected to have type
+  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) C (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1)))))))) -> (Filter.Tendsto.{u1, u2} β α f l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α g l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
+Case conversion may be inaccurate. Consider using '#align filter.tendsto.neg_mul_at_top Filter.Tendsto.neg_mul_atTopₓ'. -/
 /-- In a linearly ordered field with the order topology, if `f` tends to a negative constant `C` and
 `g` tends to `at_top` then `f * g` tends to `at_bot`. -/
 theorem Filter.Tendsto.neg_mul_atTop {C : α} (hC : C < 0) (hf : Tendsto f l (𝓝 C))
@@ -211,6 +235,12 @@ theorem Filter.Tendsto.neg_mul_atTop {C : α} (hC : C < 0) (hf : Tendsto f l (
   simpa only [mul_comm] using hg.at_top_mul_neg hC hf
 #align filter.tendsto.neg_mul_at_top Filter.Tendsto.neg_mul_atTop
 
+/- warning: filter.tendsto.at_bot_mul -> Filter.Tendsto.atBot_mul is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) C) -> (Filter.Tendsto.{u2, u1} β α f l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α g l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
+but is expected to have type
+  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1))))))) C) -> (Filter.Tendsto.{u1, u2} β α f l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α g l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
+Case conversion may be inaccurate. Consider using '#align filter.tendsto.at_bot_mul Filter.Tendsto.atBot_mulₓ'. -/
 /-- In a linearly ordered field with the order topology, if `f` tends to `at_bot` and `g` tends to
 a positive constant `C` then `f * g` tends to `at_bot`. -/
 theorem Filter.Tendsto.atBot_mul {C : α} (hC : 0 < C) (hf : Tendsto f l atBot)
@@ -219,6 +249,12 @@ theorem Filter.Tendsto.atBot_mul {C : α} (hC : 0 < C) (hf : Tendsto f l atBot)
     tendsto_neg_at_top_at_bot.comp ((tendsto_neg_at_bot_at_top.comp hf).atTop_mul hC hg)
 #align filter.tendsto.at_bot_mul Filter.Tendsto.atBot_mul
 
+/- warning: filter.tendsto.at_bot_mul_neg -> Filter.Tendsto.atBot_mul_neg is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) C (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) -> (Filter.Tendsto.{u2, u1} β α f l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α g l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
+but is expected to have type
+  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) C (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1)))))))) -> (Filter.Tendsto.{u1, u2} β α f l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α g l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
+Case conversion may be inaccurate. Consider using '#align filter.tendsto.at_bot_mul_neg Filter.Tendsto.atBot_mul_negₓ'. -/
 /-- In a linearly ordered field with the order topology, if `f` tends to `at_bot` and `g` tends to
 a negative constant `C` then `f * g` tends to `at_top`. -/
 theorem Filter.Tendsto.atBot_mul_neg {C : α} (hC : C < 0) (hf : Tendsto f l atBot)
@@ -227,6 +263,12 @@ theorem Filter.Tendsto.atBot_mul_neg {C : α} (hC : C < 0) (hf : Tendsto f l atB
     tendsto_neg_at_bot_at_top.comp ((tendsto_neg_at_bot_at_top.comp hf).atTop_mul_neg hC hg)
 #align filter.tendsto.at_bot_mul_neg Filter.Tendsto.atBot_mul_neg
 
+/- warning: filter.tendsto.mul_at_bot -> Filter.Tendsto.mul_atBot is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) C) -> (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
+but is expected to have type
+  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1))))))) C) -> (Filter.Tendsto.{u1, u2} β α f l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α g l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
+Case conversion may be inaccurate. Consider using '#align filter.tendsto.mul_at_bot Filter.Tendsto.mul_atBotₓ'. -/
 /-- In a linearly ordered field with the order topology, if `f` tends to a positive constant `C` and
 `g` tends to `at_bot` then `f * g` tends to `at_bot`. -/
 theorem Filter.Tendsto.mul_atBot {C : α} (hC : 0 < C) (hf : Tendsto f l (𝓝 C))
@@ -234,6 +276,12 @@ theorem Filter.Tendsto.mul_atBot {C : α} (hC : 0 < C) (hf : Tendsto f l (𝓝 C
   simpa only [mul_comm] using hg.at_bot_mul hC hf
 #align filter.tendsto.mul_at_bot Filter.Tendsto.mul_atBot
 
+/- warning: filter.tendsto.neg_mul_at_bot -> Filter.Tendsto.neg_mul_atBot is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) C (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) -> (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 C)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atBot.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
+but is expected to have type
+  forall {α : Type.{u2}} {β : Type.{u1}} [_inst_1 : LinearOrderedField.{u2} α] [_inst_2 : TopologicalSpace.{u2} α] [_inst_3 : OrderTopology.{u2} α _inst_2 (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))] {l : Filter.{u1} β} {f : β -> α} {g : β -> α} {C : α}, (LT.lt.{u2} α (Preorder.toLT.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))) C (OfNat.ofNat.{u2} α 0 (Zero.toOfNat0.{u2} α (CommMonoidWithZero.toZero.{u2} α (CommGroupWithZero.toCommMonoidWithZero.{u2} α (Semifield.toCommGroupWithZero.{u2} α (LinearOrderedSemifield.toSemifield.{u2} α (LinearOrderedField.toLinearOrderedSemifield.{u2} α _inst_1)))))))) -> (Filter.Tendsto.{u1, u2} β α f l (nhds.{u2} α _inst_2 C)) -> (Filter.Tendsto.{u1, u2} β α g l (Filter.atBot.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1))))))) -> (Filter.Tendsto.{u1, u2} β α (fun (x : β) => HMul.hMul.{u2, u2, u2} α α α (instHMul.{u2} α (NonUnitalNonAssocRing.toMul.{u2} α (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α (DivisionRing.toRing.{u2} α (Field.toDivisionRing.{u2} α (LinearOrderedField.toField.{u2} α _inst_1))))))) (f x) (g x)) l (Filter.atTop.{u2} α (PartialOrder.toPreorder.{u2} α (StrictOrderedRing.toPartialOrder.{u2} α (LinearOrderedRing.toStrictOrderedRing.{u2} α (LinearOrderedCommRing.toLinearOrderedRing.{u2} α (LinearOrderedField.toLinearOrderedCommRing.{u2} α _inst_1)))))))
+Case conversion may be inaccurate. Consider using '#align filter.tendsto.neg_mul_at_bot Filter.Tendsto.neg_mul_atBotₓ'. -/
 /-- In a linearly ordered field with the order topology, if `f` tends to a negative constant `C` and
 `g` tends to `at_bot` then `f * g` tends to `at_top`. -/
 theorem Filter.Tendsto.neg_mul_atBot {C : α} (hC : C < 0) (hf : Tendsto f l (𝓝 C))
@@ -241,6 +289,12 @@ theorem Filter.Tendsto.neg_mul_atBot {C : α} (hC : C < 0) (hf : Tendsto f l (
   simpa only [mul_comm] using hg.at_bot_mul_neg hC hf
 #align filter.tendsto.neg_mul_at_bot Filter.Tendsto.neg_mul_atBot
 
+/- warning: tendsto_inv_zero_at_top -> tendsto_inv_zero_atTop is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))], Filter.Tendsto.{u1, u1} α α (fun (x : α) => Inv.inv.{u1} α (DivInvMonoid.toHasInv.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1)))) x) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))))) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))], Filter.Tendsto.{u1, u1} α α (fun (x : α) => Inv.inv.{u1} α (LinearOrderedField.toInv.{u1} α _inst_1) x) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))))) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))
+Case conversion may be inaccurate. Consider using '#align tendsto_inv_zero_at_top tendsto_inv_zero_atTopₓ'. -/
 /-- The function `x ↦ x⁻¹` tends to `+∞` on the right of `0`. -/
 theorem tendsto_inv_zero_atTop : Tendsto (fun x : α => x⁻¹) (𝓝[>] (0 : α)) atTop :=
   by
@@ -250,6 +304,12 @@ theorem tendsto_inv_zero_atTop : Tendsto (fun x : α => x⁻¹) (𝓝[>] (0 : α
       ⟨le_rfl, inv_pos.2 hb'⟩]with x hx using(le_inv hx.1 hb').1 hx.2
 #align tendsto_inv_zero_at_top tendsto_inv_zero_atTop
 
+/- warning: tendsto_inv_at_top_zero' -> tendsto_inv_atTop_zero' is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))], Filter.Tendsto.{u1, u1} α α (fun (r : α) => Inv.inv.{u1} α (DivInvMonoid.toHasInv.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1)))) r) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))], Filter.Tendsto.{u1, u1} α α (fun (r : α) => Inv.inv.{u1} α (LinearOrderedField.toInv.{u1} α _inst_1) r) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))
+Case conversion may be inaccurate. Consider using '#align tendsto_inv_at_top_zero' tendsto_inv_atTop_zero'ₓ'. -/
 /-- The function `r ↦ r⁻¹` tends to `0` on the right as `r → +∞`. -/
 theorem tendsto_inv_atTop_zero' : Tendsto (fun r : α => r⁻¹) atTop (𝓝[>] (0 : α)) :=
   by
@@ -260,10 +320,22 @@ theorem tendsto_inv_atTop_zero' : Tendsto (fun r : α => r⁻¹) atTop (𝓝[>]
   exact ⟨inv_pos.2 this, (inv_le this hb).2 hx⟩
 #align tendsto_inv_at_top_zero' tendsto_inv_atTop_zero'
 
+/- warning: tendsto_inv_at_top_zero -> tendsto_inv_atTop_zero is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))], Filter.Tendsto.{u1, u1} α α (fun (r : α) => Inv.inv.{u1} α (DivInvMonoid.toHasInv.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1)))) r) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (nhds.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))], Filter.Tendsto.{u1, u1} α α (fun (r : α) => Inv.inv.{u1} α (LinearOrderedField.toInv.{u1} α _inst_1) r) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (nhds.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))))
+Case conversion may be inaccurate. Consider using '#align tendsto_inv_at_top_zero tendsto_inv_atTop_zeroₓ'. -/
 theorem tendsto_inv_atTop_zero : Tendsto (fun r : α => r⁻¹) atTop (𝓝 0) :=
   tendsto_inv_atTop_zero'.mono_right inf_le_left
 #align tendsto_inv_at_top_zero tendsto_inv_atTop_zero
 
+/- warning: filter.tendsto.div_at_top -> Filter.Tendsto.div_atTop is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] [_inst_4 : ContinuousMul.{u1} α _inst_2 (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {f : β -> α} {g : β -> α} {l : Filter.{u2} β} {a : α}, (Filter.Tendsto.{u2, u1} β α f l (nhds.{u1} α _inst_2 a)) -> (Filter.Tendsto.{u2, u1} β α g l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (DivInvMonoid.toHasDiv.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))) (f x) (g x)) l (nhds.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))
+but is expected to have type
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))] {_inst_4 : Filter.{u2} β} {f : β -> α} {g : β -> α} {l : α}, (Filter.Tendsto.{u2, u1} β α f _inst_4 (nhds.{u1} α _inst_2 l)) -> (Filter.Tendsto.{u2, u1} β α g _inst_4 (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) -> (Filter.Tendsto.{u2, u1} β α (fun (x : β) => HDiv.hDiv.{u1, u1, u1} α α α (instHDiv.{u1} α (LinearOrderedField.toDiv.{u1} α _inst_1)) (f x) (g x)) _inst_4 (nhds.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))
+Case conversion may be inaccurate. Consider using '#align filter.tendsto.div_at_top Filter.Tendsto.div_atTopₓ'. -/
 theorem Filter.Tendsto.div_atTop [ContinuousMul α] {f g : β → α} {l : Filter β} {a : α}
     (h : Tendsto f l (𝓝 a)) (hg : Tendsto g l atTop) : Tendsto (fun x => f x / g x) l (𝓝 0) :=
   by
@@ -271,14 +343,32 @@ theorem Filter.Tendsto.div_atTop [ContinuousMul α] {f g : β → α} {l : Filte
   exact mul_zero a ▸ h.mul (tendsto_inv_at_top_zero.comp hg)
 #align filter.tendsto.div_at_top Filter.Tendsto.div_atTop
 
+/- warning: filter.tendsto.inv_tendsto_at_top -> Filter.Tendsto.inv_tendsto_atTop is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α}, (Filter.Tendsto.{u2, u1} β α f l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))) -> (Filter.Tendsto.{u2, u1} β α (Inv.inv.{max u2 u1} (β -> α) (Pi.instInv.{u2, u1} β (fun (ᾰ : β) => α) (fun (i : β) => DivInvMonoid.toHasInv.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))) f) l (nhds.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))
+but is expected to have type
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))] {l : Filter.{u2} β} {f : β -> α}, (Filter.Tendsto.{u2, u1} β α f l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) -> (Filter.Tendsto.{u2, u1} β α (Inv.inv.{max u1 u2} (β -> α) (Pi.instInv.{u2, u1} β (fun (ᾰ : β) => α) (fun (i : β) => LinearOrderedField.toInv.{u1} α _inst_1)) f) l (nhds.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))
+Case conversion may be inaccurate. Consider using '#align filter.tendsto.inv_tendsto_at_top Filter.Tendsto.inv_tendsto_atTopₓ'. -/
 theorem Filter.Tendsto.inv_tendsto_atTop (h : Tendsto f l atTop) : Tendsto f⁻¹ l (𝓝 0) :=
   tendsto_inv_atTop_zero.comp h
 #align filter.tendsto.inv_tendsto_at_top Filter.Tendsto.inv_tendsto_atTop
 
+/- warning: filter.tendsto.inv_tendsto_zero -> Filter.Tendsto.inv_tendsto_zero is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {l : Filter.{u2} β} {f : β -> α}, (Filter.Tendsto.{u2, u1} β α f l (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))) -> (Filter.Tendsto.{u2, u1} β α (Inv.inv.{max u2 u1} (β -> α) (Pi.instInv.{u2, u1} β (fun (ᾰ : β) => α) (fun (i : β) => DivInvMonoid.toHasInv.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))) f) l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))
+but is expected to have type
+  forall {α : Type.{u1}} {β : Type.{u2}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))] {l : Filter.{u2} β} {f : β -> α}, (Filter.Tendsto.{u2, u1} β α f l (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))) -> (Filter.Tendsto.{u2, u1} β α (Inv.inv.{max u1 u2} (β -> α) (Pi.instInv.{u2, u1} β (fun (ᾰ : β) => α) (fun (i : β) => LinearOrderedField.toInv.{u1} α _inst_1)) f) l (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))
+Case conversion may be inaccurate. Consider using '#align filter.tendsto.inv_tendsto_zero Filter.Tendsto.inv_tendsto_zeroₓ'. -/
 theorem Filter.Tendsto.inv_tendsto_zero (h : Tendsto f l (𝓝[>] 0)) : Tendsto f⁻¹ l atTop :=
   tendsto_inv_zero_atTop.comp h
 #align filter.tendsto.inv_tendsto_zero Filter.Tendsto.inv_tendsto_zero
 
+/- warning: tendsto_pow_neg_at_top -> tendsto_pow_neg_atTop is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) -> (Filter.Tendsto.{u1, u1} α α (fun (x : α) => HPow.hPow.{u1, 0, u1} α Int α (instHPow.{u1, 0} α Int (DivInvMonoid.Pow.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))) x (Neg.neg.{0} Int Int.hasNeg ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) Nat Int (HasLiftT.mk.{1, 1} Nat Int (CoeTCₓ.coe.{1, 1} Nat Int (coeBase.{1, 1} Nat Int Int.hasCoe))) n))) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (nhds.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))] {n : Nat}, (Ne.{1} Nat n (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) -> (Filter.Tendsto.{u1, u1} α α (fun (x : α) => HPow.hPow.{u1, 0, u1} α Int α (instHPow.{u1, 0} α Int (DivInvMonoid.Pow.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))) x (Neg.neg.{0} Int Int.instNegInt (Nat.cast.{0} Int Int.instNatCastInt n))) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (nhds.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))
+Case conversion may be inaccurate. Consider using '#align tendsto_pow_neg_at_top tendsto_pow_neg_atTopₓ'. -/
 /-- The function `x^(-n)` tends to `0` at `+∞` for any positive natural `n`.
 A version for positive real powers exists as `tendsto_rpow_neg_at_top`. -/
 theorem tendsto_pow_neg_atTop {n : ℕ} (hn : n ≠ 0) :
@@ -286,6 +376,12 @@ theorem tendsto_pow_neg_atTop {n : ℕ} (hn : n ≠ 0) :
   simpa only [zpow_neg, zpow_ofNat] using (@tendsto_pow_at_top α _ _ hn).inv_tendsto_atTop
 #align tendsto_pow_neg_at_top tendsto_pow_neg_atTop
 
+/- warning: tendsto_zpow_at_top_zero -> tendsto_zpow_atTop_zero is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {n : Int}, (LT.lt.{0} Int Int.hasLt n (OfNat.ofNat.{0} Int 0 (OfNat.mk.{0} Int 0 (Zero.zero.{0} Int Int.hasZero)))) -> (Filter.Tendsto.{u1, u1} α α (fun (x : α) => HPow.hPow.{u1, 0, u1} α Int α (instHPow.{u1, 0} α Int (DivInvMonoid.Pow.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))) x n) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (nhds.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))] {n : Int}, (LT.lt.{0} Int Int.instLTInt n (OfNat.ofNat.{0} Int 0 (instOfNatInt 0))) -> (Filter.Tendsto.{u1, u1} α α (fun (x : α) => HPow.hPow.{u1, 0, u1} α Int α (instHPow.{u1, 0} α Int (DivInvMonoid.Pow.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))) x n) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (nhds.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))
+Case conversion may be inaccurate. Consider using '#align tendsto_zpow_at_top_zero tendsto_zpow_atTop_zeroₓ'. -/
 theorem tendsto_zpow_atTop_zero {n : ℤ} (hn : n < 0) : Tendsto (fun x : α => x ^ n) atTop (𝓝 0) :=
   by
   lift -n to ℕ using le_of_lt (neg_pos.mpr hn) with N
@@ -293,11 +389,23 @@ theorem tendsto_zpow_atTop_zero {n : ℤ} (hn : n < 0) : Tendsto (fun x : α =>
   simpa only [h, neg_neg] using tendsto_pow_neg_atTop hn.ne'
 #align tendsto_zpow_at_top_zero tendsto_zpow_atTop_zero
 
+/- warning: tendsto_const_mul_zpow_at_top_zero -> tendsto_const_mul_zpow_atTop_zero is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {n : Int} {c : α}, (LT.lt.{0} Int Int.hasLt n (OfNat.ofNat.{0} Int 0 (OfNat.mk.{0} Int 0 (Zero.zero.{0} Int Int.hasZero)))) -> (Filter.Tendsto.{u1, u1} α α (fun (x : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) c (HPow.hPow.{u1, 0, u1} α Int α (instHPow.{u1, 0} α Int (DivInvMonoid.Pow.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))) x n)) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (nhds.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))] {n : Int} {c : α}, (LT.lt.{0} Int Int.instLTInt n (OfNat.ofNat.{0} Int 0 (instOfNatInt 0))) -> (Filter.Tendsto.{u1, u1} α α (fun (x : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (NonUnitalNonAssocRing.toMul.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (DivisionRing.toRing.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))))) c (HPow.hPow.{u1, 0, u1} α Int α (instHPow.{u1, 0} α Int (DivInvMonoid.Pow.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))) x n)) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (nhds.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))
+Case conversion may be inaccurate. Consider using '#align tendsto_const_mul_zpow_at_top_zero tendsto_const_mul_zpow_atTop_zeroₓ'. -/
 theorem tendsto_const_mul_zpow_atTop_zero {n : ℤ} {c : α} (hn : n < 0) :
     Tendsto (fun x => c * x ^ n) atTop (𝓝 0) :=
   mul_zero c ▸ Filter.Tendsto.const_mul c (tendsto_zpow_atTop_zero hn)
 #align tendsto_const_mul_zpow_at_top_zero tendsto_const_mul_zpow_atTop_zero
 
+/- warning: tendsto_const_mul_pow_nhds_iff' -> tendsto_const_mul_pow_nhds_iff' is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {n : Nat} {c : α} {d : α}, Iff (Filter.Tendsto.{u1, u1} α α (fun (x : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) c (HPow.hPow.{u1, 0, u1} α Nat α (instHPow.{u1, 0} α Nat (Monoid.Pow.{u1} α (Ring.toMonoid.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) x n)) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (nhds.{u1} α _inst_2 d)) (And (Or (Eq.{succ u1} α c (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) (Eq.{1} Nat n (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))))) (Eq.{succ u1} α c d))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))] {n : Nat} {c : α} {d : α}, Iff (Filter.Tendsto.{u1, u1} α α (fun (x : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (NonUnitalNonAssocRing.toMul.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (DivisionRing.toRing.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))))) c (HPow.hPow.{u1, 0, u1} α Nat α (instHPow.{u1, 0} α Nat (Monoid.Pow.{u1} α (MonoidWithZero.toMonoid.{u1} α (Semiring.toMonoidWithZero.{u1} α (DivisionSemiring.toSemiring.{u1} α (Semifield.toDivisionSemiring.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))) x n)) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (nhds.{u1} α _inst_2 d)) (And (Or (Eq.{succ u1} α c (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))) (Eq.{1} Nat n (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)))) (Eq.{succ u1} α c d))
+Case conversion may be inaccurate. Consider using '#align tendsto_const_mul_pow_nhds_iff' tendsto_const_mul_pow_nhds_iff'ₓ'. -/
 theorem tendsto_const_mul_pow_nhds_iff' {n : ℕ} {c d : α} :
     Tendsto (fun x : α => c * x ^ n) atTop (𝓝 d) ↔ (c = 0 ∨ n = 0) ∧ c = d :=
   by
@@ -311,11 +419,23 @@ theorem tendsto_const_mul_pow_nhds_iff' {n : ℕ} {c d : α} :
     simp [not_tendsto_nhds_of_tendsto_atTop this, hc.ne', hn]
 #align tendsto_const_mul_pow_nhds_iff' tendsto_const_mul_pow_nhds_iff'
 
+/- warning: tendsto_const_mul_pow_nhds_iff -> tendsto_const_mul_pow_nhds_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {n : Nat} {c : α} {d : α}, (Ne.{succ u1} α c (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) -> (Iff (Filter.Tendsto.{u1, u1} α α (fun (x : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) c (HPow.hPow.{u1, 0, u1} α Nat α (instHPow.{u1, 0} α Nat (Monoid.Pow.{u1} α (Ring.toMonoid.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) x n)) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (nhds.{u1} α _inst_2 d)) (And (Eq.{1} Nat n (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) (Eq.{succ u1} α c d)))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))] {n : Nat} {c : α} {d : α}, (Ne.{succ u1} α c (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))) -> (Iff (Filter.Tendsto.{u1, u1} α α (fun (x : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (NonUnitalNonAssocRing.toMul.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (DivisionRing.toRing.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))))) c (HPow.hPow.{u1, 0, u1} α Nat α (instHPow.{u1, 0} α Nat (Monoid.Pow.{u1} α (MonoidWithZero.toMonoid.{u1} α (Semiring.toMonoidWithZero.{u1} α (DivisionSemiring.toSemiring.{u1} α (Semifield.toDivisionSemiring.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))) x n)) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (nhds.{u1} α _inst_2 d)) (And (Eq.{1} Nat n (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0))) (Eq.{succ u1} α c d)))
+Case conversion may be inaccurate. Consider using '#align tendsto_const_mul_pow_nhds_iff tendsto_const_mul_pow_nhds_iffₓ'. -/
 theorem tendsto_const_mul_pow_nhds_iff {n : ℕ} {c d : α} (hc : c ≠ 0) :
     Tendsto (fun x : α => c * x ^ n) atTop (𝓝 d) ↔ n = 0 ∧ c = d := by
   simp [tendsto_const_mul_pow_nhds_iff', hc]
 #align tendsto_const_mul_pow_nhds_iff tendsto_const_mul_pow_nhds_iff
 
+/- warning: tendsto_const_mul_zpow_at_top_nhds_iff -> tendsto_const_mul_zpow_atTop_nhds_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {n : Int} {c : α} {d : α}, (Ne.{succ u1} α c (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))) -> (Iff (Filter.Tendsto.{u1, u1} α α (fun (x : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) c (HPow.hPow.{u1, 0, u1} α Int α (instHPow.{u1, 0} α Int (DivInvMonoid.Pow.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))) x n)) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (nhds.{u1} α _inst_2 d)) (Or (And (Eq.{1} Int n (OfNat.ofNat.{0} Int 0 (OfNat.mk.{0} Int 0 (Zero.zero.{0} Int Int.hasZero)))) (Eq.{succ u1} α c d)) (And (LT.lt.{0} Int Int.hasLt n (OfNat.ofNat.{0} Int 0 (OfNat.mk.{0} Int 0 (Zero.zero.{0} Int Int.hasZero)))) (Eq.{succ u1} α d (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))] {n : Int} {c : α} {d : α}, (Ne.{succ u1} α c (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))) -> (Iff (Filter.Tendsto.{u1, u1} α α (fun (x : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (NonUnitalNonAssocRing.toMul.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (DivisionRing.toRing.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))))) c (HPow.hPow.{u1, 0, u1} α Int α (instHPow.{u1, 0} α Int (DivInvMonoid.Pow.{u1} α (DivisionRing.toDivInvMonoid.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))) x n)) (Filter.atTop.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (nhds.{u1} α _inst_2 d)) (Or (And (Eq.{1} Int n (OfNat.ofNat.{0} Int 0 (instOfNatInt 0))) (Eq.{succ u1} α c d)) (And (LT.lt.{0} Int Int.instLTInt n (OfNat.ofNat.{0} Int 0 (instOfNatInt 0))) (Eq.{succ u1} α d (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))))
+Case conversion may be inaccurate. Consider using '#align tendsto_const_mul_zpow_at_top_nhds_iff tendsto_const_mul_zpow_atTop_nhds_iffₓ'. -/
 theorem tendsto_const_mul_zpow_atTop_nhds_iff {n : ℤ} {c d : α} (hc : c ≠ 0) :
     Tendsto (fun x : α => c * x ^ n) atTop (𝓝 d) ↔ n = 0 ∧ c = d ∨ n < 0 ∧ d = 0 :=
   by
@@ -333,11 +453,12 @@ theorem tendsto_const_mul_zpow_atTop_nhds_iff {n : ℤ} {c d : α} (hc : c ≠ 0
     · exact h.2.symm ▸ tendsto_const_mul_zpow_atTop_zero h.1
 #align tendsto_const_mul_zpow_at_top_nhds_iff tendsto_const_mul_zpow_atTop_nhds_iff
 
+#print LinearOrderedField.toTopologicalDivisionRing /-
 -- TODO: With a different proof, this could be possibly generalised to only require a
 -- `linear_ordered_semifield` instance, which would also remove the need for the
 -- `nnreal` instance of `has_continuous_inv₀`.
 -- see Note [lower instance priority]
-instance (priority := 100) LinearOrderedField.to_topologicalDivisionRing : TopologicalDivisionRing α
+instance (priority := 100) LinearOrderedField.toTopologicalDivisionRing : TopologicalDivisionRing α
     where continuousAt_inv₀ :=
     by
     suffices ∀ {x : α}, 0 < x → ContinuousAt Inv.inv x
@@ -370,8 +491,15 @@ instance (priority := 100) LinearOrderedField.to_topologicalDivisionRing : Topol
     refine' inv_lt_of_inv_lt aux _
     rw [inv_div, abs_of_pos <| mul_pos ht hx', sq, ← mul_div_assoc']
     exact mul_lt_mul_of_pos_left hx ht
-#align linear_ordered_field.to_topological_division_ring LinearOrderedField.to_topologicalDivisionRing
+#align linear_ordered_field.to_topological_division_ring LinearOrderedField.toTopologicalDivisionRing
+-/
 
+/- warning: nhds_within_pos_comap_mul_left -> nhdsWithin_pos_comap_mul_left is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {x : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) x) -> (Eq.{succ u1} (Filter.{u1} α) (Filter.comap.{u1, u1} α α (fun (ε : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) x ε) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))))))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))] {x : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) x) -> (Eq.{succ u1} (Filter.{u1} α) (Filter.comap.{u1, u1} α α (fun (ε : α) => HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (NonUnitalNonAssocRing.toMul.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (DivisionRing.toRing.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))))) x ε) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))))))
+Case conversion may be inaccurate. Consider using '#align nhds_within_pos_comap_mul_left nhdsWithin_pos_comap_mul_leftₓ'. -/
 theorem nhdsWithin_pos_comap_mul_left {x : α} (hx : 0 < x) :
     comap (fun ε => x * ε) (𝓝[>] 0) = 𝓝[>] 0 :=
   by
@@ -390,6 +518,12 @@ theorem nhdsWithin_pos_comap_mul_left {x : α} (hx : 0 < x) :
   · rw [image_const_mul_Ioi_zero hx]
 #align nhds_within_pos_comap_mul_left nhdsWithin_pos_comap_mul_left
 
+/- warning: eventually_nhds_within_pos_mul_left -> eventually_nhdsWithin_pos_mul_left is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))] {x : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) x) -> (forall {p : α -> Prop}, (Filter.Eventually.{u1} α (fun (ε : α) => p ε) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))) -> (Filter.Eventually.{u1} α (fun (ε : α) => p (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))) x ε)) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (OrderedAddCommGroup.toPartialOrder.{u1} α (StrictOrderedRing.toOrderedAddCommGroup.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (OfNat.mk.{u1} α 0 (Zero.zero.{u1} α (MulZeroClass.toHasZero.{u1} α (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} α (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (StrictOrderedRing.toRing.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))))))))))))))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : LinearOrderedField.{u1} α] [_inst_2 : TopologicalSpace.{u1} α] [_inst_3 : OrderTopology.{u1} α _inst_2 (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))] {x : α}, (LT.lt.{u1} α (Preorder.toLT.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1)))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) x) -> (forall {p : α -> Prop}, (Filter.Eventually.{u1} α (fun (ε : α) => p ε) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))) -> (Filter.Eventually.{u1} α (fun (ε : α) => p (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (NonUnitalNonAssocRing.toMul.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (DivisionRing.toRing.{u1} α (Field.toDivisionRing.{u1} α (LinearOrderedField.toField.{u1} α _inst_1))))))) x ε)) (nhdsWithin.{u1} α _inst_2 (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1))))))) (Set.Ioi.{u1} α (PartialOrder.toPreorder.{u1} α (StrictOrderedRing.toPartialOrder.{u1} α (LinearOrderedRing.toStrictOrderedRing.{u1} α (LinearOrderedCommRing.toLinearOrderedRing.{u1} α (LinearOrderedField.toLinearOrderedCommRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} α 0 (Zero.toOfNat0.{u1} α (CommMonoidWithZero.toZero.{u1} α (CommGroupWithZero.toCommMonoidWithZero.{u1} α (Semifield.toCommGroupWithZero.{u1} α (LinearOrderedSemifield.toSemifield.{u1} α (LinearOrderedField.toLinearOrderedSemifield.{u1} α _inst_1)))))))))))
+Case conversion may be inaccurate. Consider using '#align eventually_nhds_within_pos_mul_left eventually_nhdsWithin_pos_mul_leftₓ'. -/
 theorem eventually_nhdsWithin_pos_mul_left {x : α} (hx : 0 < x) {p : α → Prop}
     (h : ∀ᶠ ε in 𝓝[>] 0, p ε) : ∀ᶠ ε in 𝓝[>] 0, p (x * ε) :=
   by

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

@@ -4,11 +4,12 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Benjamin Davidson, Devon Tuma, Eric Rodriguez, Oliver Nash
 
 ! This file was ported from Lean 3 source module topology.algebra.order.field
-! leanprover-community/mathlib commit 84dc0bd6619acaea625086d6f53cb35cdd554219
+! leanprover-community/mathlib commit 9a59dcb7a2d06bf55da57b9030169219980660cd
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Tactic.Positivity
+import Mathbin.Tactic.Linarith.Default
 import Mathbin.Topology.Algebra.Order.Group
 import Mathbin.Topology.Algebra.Field
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/4c586d291f189eecb9d00581aeb3dd998ac34442

@@ -47,7 +47,7 @@ theorem mul_tendsto_nhds_zero_right (x : α) :
   refine' lt_of_le_of_lt (mul_le_mul_of_nonneg_left _ (abs_nonneg a)) ((lt_div_iff hx).1 h)
   calc
     |b| = |b - x + x| := by rw [sub_add_cancel b x]
-    _ ≤ |b - x| + |x| := abs_add (b - x) x
+    _ ≤ |b - x| + |x| := (abs_add (b - x) x)
     _ ≤ 2 * (1 + |x|) := by linarith
     
 #align mul_tendsto_nhds_zero_right mul_tendsto_nhds_zero_right
@@ -77,8 +77,8 @@ theorem nhds_eq_map_mul_left_nhds_one {x₀ : α} (hx₀ : x₀ ≠ 0) :
     refine' ⟨i / |x₀|, div_pos hi (abs_pos.2 hx₀), fun x hx => hit _⟩
     calc
       |x₀ * x - x₀| = |x₀ * (x - 1)| := congr_arg abs (by ring_nf)
-      _ = |x₀| * |x - 1| := abs_mul x₀ (x - 1)
-      _ < |x₀| * (i / |x₀|) := mul_lt_mul' le_rfl hx (by positivity) (abs_pos.2 hx₀)
+      _ = |x₀| * |x - 1| := (abs_mul x₀ (x - 1))
+      _ < |x₀| * (i / |x₀|) := (mul_lt_mul' le_rfl hx (by positivity) (abs_pos.2 hx₀))
       _ = |x₀| * i / |x₀| := by ring
       _ = i := mul_div_cancel_left i fun h => hx₀ (abs_eq_zero.1 h)
       
@@ -87,9 +87,9 @@ theorem nhds_eq_map_mul_left_nhds_one {x₀ : α} (hx₀ : x₀ ≠ 0) :
     have : |x / x₀ - 1| < i
     calc
       |x / x₀ - 1| = |x / x₀ - x₀ / x₀| := by rw [div_self hx₀]
-      _ = |(x - x₀) / x₀| := congr_arg abs (sub_div x x₀ x₀).symm
-      _ = |x - x₀| / |x₀| := abs_div (x - x₀) x₀
-      _ < i * |x₀| / |x₀| := div_lt_div_of_lt (abs_pos.2 hx₀) hx
+      _ = |(x - x₀) / x₀| := (congr_arg abs (sub_div x x₀ x₀).symm)
+      _ = |x - x₀| / |x₀| := (abs_div (x - x₀) x₀)
+      _ < i * |x₀| / |x₀| := (div_lt_div_of_lt (abs_pos.2 hx₀) hx)
       _ = i := by rw [← mul_div_assoc', div_self (ne_of_lt <| abs_pos.2 hx₀).symm, mul_one]
       
     specialize hit (x / x₀) this
@@ -119,7 +119,7 @@ theorem mul_tendsto_nhds_one_nhds_one :
   ·
     calc
       1 - ε = 1 - ε / 2 - ε / 2 := by ring_nf
-      _ ≤ 1 - ε / 2 - ε / 2 + ε / 2 * (ε / 2) := le_add_of_nonneg_right (by positivity)
+      _ ≤ 1 - ε / 2 - ε / 2 + ε / 2 * (ε / 2) := (le_add_of_nonneg_right (by positivity))
       _ = (1 - ε / 2) * (1 - ε / 2) := by ring_nf
       _ ≤ (1 - ε / 4) * (1 - ε / 4) := mul_le_mul (by linarith) (by linarith) (by linarith) hε'
       
@@ -128,11 +128,11 @@ theorem mul_tendsto_nhds_one_nhds_one :
       (1 + ε / 4) * (1 + ε / 4) = 1 + ε / 2 + ε / 4 * (ε / 4) := by ring_nf
       _ = 1 + ε / 2 + ε * ε / 16 := by ring_nf
       _ ≤ 1 + ε / 2 + ε / 2 :=
-        add_le_add_left
+        (add_le_add_left
           (div_le_div (le_of_lt hε.1)
             (le_trans ((mul_le_mul_left hε.1).2 hε.2) (le_of_eq <| mul_one ε)) zero_lt_two
             (by linarith))
-          (1 + ε / 2)
+          (1 + ε / 2))
       _ ≤ 1 + ε := by ring_nf
       
 #align mul_tendsto_nhds_one_nhds_one mul_tendsto_nhds_one_nhds_one
@@ -168,7 +168,7 @@ instance (priority := 100) LinearOrderedField.continuousMul : ContinuousMul α :
       _ = map ((fun x => x₀ * x) ∘ fun x => x * y₀) (map (uncurry (· * ·)) (𝓝 1 ×ᶠ 𝓝 1)) := by
         rw [key, ← Filter.map_map]
       _ ≤ map ((fun x : α => x₀ * x) ∘ fun x => x * y₀) (𝓝 1) :=
-        map_mono mul_tendsto_nhds_one_nhds_one
+        (map_mono mul_tendsto_nhds_one_nhds_one)
       _ = 𝓝 (x₀ * y₀) := by
         rw [← Filter.map_map, ← nhds_eq_map_mul_right_nhds_one hy₀,
           nhds_eq_map_mul_left_nhds_one hy₀, Filter.map_map, key₂, ←

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

This splits up the file Mathlib/Topology/Order/Basic.lean (currently > 2000 lines) into several smaller files.

@@ -6,6 +6,7 @@ Authors: Benjamin Davidson, Devon Tuma, Eric Rodriguez, Oliver Nash
 import Mathlib.Topology.Algebra.Order.Group
 import Mathlib.Topology.Algebra.Field
 import Mathlib.Data.Set.Pointwise.Interval
+import Mathlib.Topology.Order.LeftRightNhds
 
 #align_import topology.algebra.order.field from "leanprover-community/mathlib"@"9a59dcb7a2d06bf55da57b9030169219980660cd"
 

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

@@ -159,7 +159,7 @@ theorem Filter.Tendsto.inv_tendsto_zero (h : Tendsto f l (𝓝[>] 0)) : Tendsto
 A version for positive real powers exists as `tendsto_rpow_neg_atTop`. -/
 theorem tendsto_pow_neg_atTop {n : ℕ} (hn : n ≠ 0) :
     Tendsto (fun x : 𝕜 => x ^ (-(n : ℤ))) atTop (𝓝 0) := by
-  simpa only [zpow_neg, zpow_coe_nat] using (@tendsto_pow_atTop 𝕜 _ _ hn).inv_tendsto_atTop
+  simpa only [zpow_neg, zpow_natCast] using (@tendsto_pow_atTop 𝕜 _ _ hn).inv_tendsto_atTop
 #align tendsto_pow_neg_at_top tendsto_pow_neg_atTop
 
 theorem tendsto_zpow_atTop_zero {n : ℤ} (hn : n < 0) :

Classifies by adding issue number #11215 to porting notes claiming "TODO".

@@ -224,7 +224,7 @@ instance (priority := 100) LinearOrderedField.toTopologicalDivisionRing :
     TopologicalDivisionRing 𝕜 := ⟨⟩
 #align linear_ordered_field.to_topological_division_ring LinearOrderedField.toTopologicalDivisionRing
 
--- Porting note: todo: generalize to a `GroupWithZero`
+-- Porting note (#11215): TODO: generalize to a `GroupWithZero`
 theorem nhdsWithin_pos_comap_mul_left {x : 𝕜} (hx : 0 < x) :
     comap (x * ·) (𝓝[>] 0) = 𝓝[>] 0 := by
   rw [nhdsWithin, comap_inf, comap_principal, preimage_const_mul_Ioi _ hx, zero_div]

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

• converts "--porting note" into "-- Porting note";
• converts "porting note" into "Porting note".

@@ -194,7 +194,7 @@ theorem tendsto_const_mul_pow_nhds_iff {n : ℕ} {c d : 𝕜} (hc : c ≠ 0) :
 theorem tendsto_const_mul_zpow_atTop_nhds_iff {n : ℤ} {c d : 𝕜} (hc : c ≠ 0) :
     Tendsto (fun x : 𝕜 => c * x ^ n) atTop (𝓝 d) ↔ n = 0 ∧ c = d ∨ n < 0 ∧ d = 0 := by
   refine' ⟨fun h => _, fun h => _⟩
-  · cases n with -- porting note: Lean 3 proof used `by_cases`, then `lift` but `lift` failed
+  · cases n with -- Porting note: Lean 3 proof used `by_cases`, then `lift` but `lift` failed
     | ofNat n =>
       left
       simpa [tendsto_const_mul_pow_nhds_iff hc] using h
@@ -224,7 +224,7 @@ instance (priority := 100) LinearOrderedField.toTopologicalDivisionRing :
     TopologicalDivisionRing 𝕜 := ⟨⟩
 #align linear_ordered_field.to_topological_division_ring LinearOrderedField.toTopologicalDivisionRing
 
--- porting note: todo: generalize to a `GroupWithZero`
+-- Porting note: todo: generalize to a `GroupWithZero`
 theorem nhdsWithin_pos_comap_mul_left {x : 𝕜} (hx : 0 < x) :
     comap (x * ·) (𝓝[>] 0) = 𝓝[>] 0 := by
   rw [nhdsWithin, comap_inf, comap_principal, preimage_const_mul_Ioi _ hx, zero_div]

Previously these were syntactically identical to the corresponding zpow_coe_nat and coe_nat_zsmul lemmas, now they are about OfNat.ofNat.

Unfortunately, almost every call site uses the ofNat name to refer to Nat.cast, so the downstream proofs had to be adjusted too.

@@ -159,7 +159,7 @@ theorem Filter.Tendsto.inv_tendsto_zero (h : Tendsto f l (𝓝[>] 0)) : Tendsto
 A version for positive real powers exists as `tendsto_rpow_neg_atTop`. -/
 theorem tendsto_pow_neg_atTop {n : ℕ} (hn : n ≠ 0) :
     Tendsto (fun x : 𝕜 => x ^ (-(n : ℤ))) atTop (𝓝 0) := by
-  simpa only [zpow_neg, zpow_ofNat] using (@tendsto_pow_atTop 𝕜 _ _ hn).inv_tendsto_atTop
+  simpa only [zpow_neg, zpow_coe_nat] using (@tendsto_pow_atTop 𝕜 _ _ hn).inv_tendsto_atTop
 #align tendsto_pow_neg_at_top tendsto_pow_neg_atTop
 
 theorem tendsto_zpow_atTop_zero {n : ℤ} (hn : n < 0) :

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

This follows on from #6964.

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

@@ -32,8 +32,9 @@ theorem TopologicalRing.of_norm {R 𝕜 : Type*} [NonUnitalNonAssocRing R] [Line
     (norm_nonneg : ∀ x, 0 ≤ norm x) (norm_mul_le : ∀ x y, norm (x * y) ≤ norm x * norm y)
     (nhds_basis : (𝓝 (0 : R)).HasBasis ((0 : 𝕜) < ·) (fun ε ↦ { x | norm x < ε })) :
     TopologicalRing R := by
-  have h0 : ∀ f : R → R, ∀ c ≥ (0 : 𝕜), (∀ x, norm (f x) ≤ c * norm x) → Tendsto f (𝓝 0) (𝓝 0)
-  · refine fun f c c0 hf ↦ (nhds_basis.tendsto_iff nhds_basis).2 fun ε ε0 ↦ ?_
+  have h0 : ∀ f : R → R, ∀ c ≥ (0 : 𝕜), (∀ x, norm (f x) ≤ c * norm x) →
+      Tendsto f (𝓝 0) (𝓝 0) := by
+    refine fun f c c0 hf ↦ (nhds_basis.tendsto_iff nhds_basis).2 fun ε ε0 ↦ ?_
     rcases exists_pos_mul_lt ε0 c with ⟨δ, δ0, hδ⟩
     refine ⟨δ, δ0, fun x hx ↦ (hf _).trans_lt ?_⟩
     exact (mul_le_mul_of_nonneg_left (le_of_lt hx) c0).trans_lt hδ

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>

@@ -3,7 +3,6 @@ Copyright (c) 2022 Benjamin Davidson. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Benjamin Davidson, Devon Tuma, Eric Rodriguez, Oliver Nash
 -/
-import Mathlib.Tactic.Positivity
 import Mathlib.Topology.Algebra.Order.Group
 import Mathlib.Topology.Algebra.Field
 import Mathlib.Data.Set.Pointwise.Interval

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>

@@ -6,6 +6,7 @@ Authors: Benjamin Davidson, Devon Tuma, Eric Rodriguez, Oliver Nash
 import Mathlib.Tactic.Positivity
 import Mathlib.Topology.Algebra.Order.Group
 import Mathlib.Topology.Algebra.Field
+import Mathlib.Data.Set.Pointwise.Interval
 
 #align_import topology.algebra.order.field from "leanprover-community/mathlib"@"9a59dcb7a2d06bf55da57b9030169219980660cd"
 

Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>

@@ -19,7 +19,8 @@ then `f * g` tends to positive infinity.
 -/
 
 
-open Set Filter TopologicalSpace Function Topology Classical
+open Set Filter TopologicalSpace Function
+open scoped Pointwise Topology
 open OrderDual (toDual ofDual)
 
 /-- If a (possibly non-unital and/or non-associative) ring `R` admits a submultiplicative
@@ -117,20 +118,22 @@ theorem Filter.Tendsto.neg_mul_atBot {C : 𝕜} (hC : C < 0) (hf : Tendsto f l (
   simpa only [mul_comm] using hg.atBot_mul_neg hC hf
 #align filter.tendsto.neg_mul_at_bot Filter.Tendsto.neg_mul_atBot
 
+@[simp]
+lemma inv_atTop₀ : (atTop : Filter 𝕜)⁻¹ = 𝓝[>] 0 :=
+  (((atTop_basis_Ioi' (0 : 𝕜)).map _).comp_surjective inv_surjective).eq_of_same_basis <|
+    (nhdsWithin_Ioi_basis _).congr (by simp) fun a ha ↦ by simp [inv_Ioi (inv_pos.2 ha)]
+
+@[simp] lemma inv_nhdsWithin_Ioi_zero : (𝓝[>] (0 : 𝕜))⁻¹ = atTop := by
+  rw [← inv_atTop₀, inv_inv]
+
 /-- The function `x ↦ x⁻¹` tends to `+∞` on the right of `0`. -/
-theorem tendsto_inv_zero_atTop : Tendsto (fun x : 𝕜 => x⁻¹) (𝓝[>] (0 : 𝕜)) atTop := by
-  refine' (atTop_basis' 1).tendsto_right_iff.2 fun b hb => _
-  have hb' : 0 < b := by positivity
-  filter_upwards [Ioc_mem_nhdsWithin_Ioi
-      ⟨le_rfl, inv_pos.2 hb'⟩] with x hx using(le_inv hx.1 hb').1 hx.2
+theorem tendsto_inv_zero_atTop : Tendsto (fun x : 𝕜 => x⁻¹) (𝓝[>] (0 : 𝕜)) atTop :=
+  inv_nhdsWithin_Ioi_zero.le
 #align tendsto_inv_zero_at_top tendsto_inv_zero_atTop
 
 /-- The function `r ↦ r⁻¹` tends to `0` on the right as `r → +∞`. -/
-theorem tendsto_inv_atTop_zero' : Tendsto (fun r : 𝕜 => r⁻¹) atTop (𝓝[>] (0 : 𝕜)) := by
-  refine (atTop_basis.tendsto_iff ⟨fun s => mem_nhdsWithin_Ioi_iff_exists_Ioc_subset⟩).2 ?_
-  refine fun b hb => ⟨b⁻¹, trivial, fun x hx => ?_⟩
-  have : 0 < x := lt_of_lt_of_le (inv_pos.2 hb) hx
-  exact ⟨inv_pos.2 this, (inv_le this hb).2 hx⟩
+theorem tendsto_inv_atTop_zero' : Tendsto (fun r : 𝕜 => r⁻¹) atTop (𝓝[>] (0 : 𝕜)) :=
+  inv_atTop₀.le
 #align tendsto_inv_at_top_zero' tendsto_inv_atTop_zero'
 
 theorem tendsto_inv_atTop_zero : Tendsto (fun r : 𝕜 => r⁻¹) atTop (𝓝 0) :=

mathport was forgetting a space in filter_upwards [...]with instead of filter_upwards [...] with.

@@ -122,7 +122,7 @@ theorem tendsto_inv_zero_atTop : Tendsto (fun x : 𝕜 => x⁻¹) (𝓝[>] (0 :
   refine' (atTop_basis' 1).tendsto_right_iff.2 fun b hb => _
   have hb' : 0 < b := by positivity
   filter_upwards [Ioc_mem_nhdsWithin_Ioi
-      ⟨le_rfl, inv_pos.2 hb'⟩]with x hx using(le_inv hx.1 hb').1 hx.2
+      ⟨le_rfl, inv_pos.2 hb'⟩] with x hx using(le_inv hx.1 hb').1 hx.2
 #align tendsto_inv_zero_at_top tendsto_inv_zero_atTop
 
 /-- The function `r ↦ r⁻¹` tends to `0` on the right as `r → +∞`. -/

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

This has nice performance benefits.

@@ -26,7 +26,7 @@ open OrderDual (toDual ofDual)
 nonnegative norm `norm : R → 𝕜`, where `𝕜` is a linear ordered field, and the open balls
 `{ x | norm x < ε }`, `ε > 0`, form a basis of neighborhoods of zero, then `R` is a topological
 ring. -/
-theorem TopologicalRing.of_norm {R 𝕜 : Type _} [NonUnitalNonAssocRing R] [LinearOrderedField 𝕜]
+theorem TopologicalRing.of_norm {R 𝕜 : Type*} [NonUnitalNonAssocRing R] [LinearOrderedField 𝕜]
     [TopologicalSpace R] [TopologicalAddGroup R] (norm : R → 𝕜)
     (norm_nonneg : ∀ x, 0 ≤ norm x) (norm_mul_le : ∀ x y, norm (x * y) ≤ norm x * norm y)
     (nhds_basis : (𝓝 (0 : R)).HasBasis ((0 : 𝕜) < ·) (fun ε ↦ { x | norm x < ε })) :
@@ -48,7 +48,7 @@ theorem TopologicalRing.of_norm {R 𝕜 : Type _} [NonUnitalNonAssocRing R] [Lin
     exact fun y => h0 (· * y) (norm y) (norm_nonneg y) fun x =>
       (norm_mul_le x y).trans_eq (mul_comm _ _)
 
-variable {𝕜 α : Type _} [LinearOrderedField 𝕜] [TopologicalSpace 𝕜] [OrderTopology 𝕜]
+variable {𝕜 α : Type*} [LinearOrderedField 𝕜] [TopologicalSpace 𝕜] [OrderTopology 𝕜]
   {l : Filter α} {f g : α → 𝕜}
 
 -- see Note [lower instance priority]

• depends on: #5966

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

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Benjamin Davidson. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Benjamin Davidson, Devon Tuma, Eric Rodriguez, Oliver Nash
-
-! This file was ported from Lean 3 source module topology.algebra.order.field
-! leanprover-community/mathlib commit 9a59dcb7a2d06bf55da57b9030169219980660cd
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Tactic.Positivity
 import Mathlib.Topology.Algebra.Order.Group
 import Mathlib.Topology.Algebra.Field
 
+#align_import topology.algebra.order.field from "leanprover-community/mathlib"@"9a59dcb7a2d06bf55da57b9030169219980660cd"
+
 /-!
 # Topologies on linear ordered fields
 

These are all doc fixes

@@ -223,7 +223,7 @@ instance (priority := 100) LinearOrderedField.toTopologicalDivisionRing :
     TopologicalDivisionRing 𝕜 := ⟨⟩
 #align linear_ordered_field.to_topological_division_ring LinearOrderedField.toTopologicalDivisionRing
 
--- porting note: todo: generalize to a `GroupWithzero`
+-- porting note: todo: generalize to a `GroupWithZero`
 theorem nhdsWithin_pos_comap_mul_left {x : 𝕜} (hx : 0 < x) :
     comap (x * ·) (𝓝[>] 0) = 𝓝[>] 0 := by
   rw [nhdsWithin, comap_inf, comap_principal, preimage_const_mul_Ioi _ hx, zero_div]

@@ -39,7 +39,7 @@ theorem TopologicalRing.of_norm {R 𝕜 : Type _} [NonUnitalNonAssocRing R] [Lin
     rcases exists_pos_mul_lt ε0 c with ⟨δ, δ0, hδ⟩
     refine ⟨δ, δ0, fun x hx ↦ (hf _).trans_lt ?_⟩
     exact (mul_le_mul_of_nonneg_left (le_of_lt hx) c0).trans_lt hδ
-  apply TopologicalRing.of_add_group_of_nhds_zero
+  apply TopologicalRing.of_addGroup_of_nhds_zero
   case hmul =>
     refine ((nhds_basis.prod nhds_basis).tendsto_iff nhds_basis).2 fun ε ε0 ↦ ?_
     refine ⟨(1, ε), ⟨one_pos, ε0⟩, fun (x, y) ⟨hx, hy⟩ => ?_⟩

I made substantial changes to the proofs. To avoid backporting most of them, in leanprover-community/mathlib#18552 I add private to lemmas that are deleted in this PR. Also, I backport Homeomorph.symm_symm in leanprover-community/mathlib#18551