linear_algebra.affine_space.slope | Mathlib porting status

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

70fd9563

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

69c6a5a1

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
 -/
-import Mathbin.LinearAlgebra.AffineSpace.AffineMap
-import Mathbin.Tactic.FieldSimp
+import LinearAlgebra.AffineSpace.AffineMap
+import Tactic.FieldSimp
 
 #align_import linear_algebra.affine_space.slope from "leanprover-community/mathlib"@"69c6a5a12d8a2b159f20933e60115a4f2de62b58"

69c6a5a1

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
-
-! This file was ported from Lean 3 source module linear_algebra.affine_space.slope
-! leanprover-community/mathlib commit 69c6a5a12d8a2b159f20933e60115a4f2de62b58
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.LinearAlgebra.AffineSpace.AffineMap
 import Mathbin.Tactic.FieldSimp
 
+#align_import linear_algebra.affine_space.slope from "leanprover-community/mathlib"@"69c6a5a12d8a2b159f20933e60115a4f2de62b58"
+
 /-!
 # Slope of a function

69c6a5a1

bump to nightly-2023-06-20-01

mathlib commit https://github.com/leanprover-community/mathlib/commit/2a0ce625dbb0ffbc7d1316597de0b25c1ec75303

9b351f8c

Diff

@@ -91,7 +91,7 @@ theorem sub_smul_slope_vadd (f : k → PE) (a b : k) : (b - a) • slope f a b +
 @[simp]
 theorem slope_vadd_const (f : k → E) (c : PE) : (slope fun x => f x +ᵥ c) = slope f :=
   by
-  ext (a b)
+  ext a b
   simp only [slope, vadd_vsub_vadd_cancel_right, vsub_eq_sub]
 #align slope_vadd_const slope_vadd_const
 -/

69c6a5a1

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -32,8 +32,6 @@ open AffineMap
 
 variable {k E PE : Type _} [Field k] [AddCommGroup E] [Module k E] [AddTorsor E PE]
 
-include E
-
 #print slope /-
 /-- `slope f a b = (b - a)⁻¹ • (f b -ᵥ f a)` is the slope of a function `f` on the interval
 `[a, b]`. Note that `slope f a a = 0`, not the derivative of `f` at `a`. -/
@@ -42,31 +40,38 @@ def slope (f : k → PE) (a b : k) : E :=
 #align slope slope
 -/
 
+#print slope_fun_def /-
 theorem slope_fun_def (f : k → PE) : slope f = fun a b => (b - a)⁻¹ • (f b -ᵥ f a) :=
   rfl
 #align slope_fun_def slope_fun_def
+-/
 
-omit E
-
+#print slope_def_field /-
 theorem slope_def_field (f : k → k) (a b : k) : slope f a b = (f b - f a) / (b - a) :=
   (div_eq_inv_mul _ _).symm
 #align slope_def_field slope_def_field
+-/
 
+#print slope_fun_def_field /-
 theorem slope_fun_def_field (f : k → k) (a : k) : slope f a = fun b => (f b - f a) / (b - a) :=
   (div_eq_inv_mul _ _).symm
 #align slope_fun_def_field slope_fun_def_field
+-/
 
+#print slope_same /-
 @[simp]
 theorem slope_same (f : k → PE) (a : k) : (slope f a a : E) = 0 := by
   rw [slope, sub_self, inv_zero, zero_smul]
 #align slope_same slope_same
+-/
 
-include E
-
+#print slope_def_module /-
 theorem slope_def_module (f : k → E) (a b : k) : slope f a b = (b - a)⁻¹ • (f b - f a) :=
   rfl
 #align slope_def_module slope_def_module
+-/
 
+#print sub_smul_slope /-
 @[simp]
 theorem sub_smul_slope (f : k → PE) (a b : k) : (b - a) • slope f a b = f b -ᵥ f a :=
   by
@@ -74,42 +79,58 @@ theorem sub_smul_slope (f : k → PE) (a b : k) : (b - a) • slope f a b = f b
   · rw [sub_self, zero_smul, vsub_self]
   · rw [slope, smul_inv_smul₀ (sub_ne_zero.2 hne.symm)]
 #align sub_smul_slope sub_smul_slope
+-/
 
+#print sub_smul_slope_vadd /-
 theorem sub_smul_slope_vadd (f : k → PE) (a b : k) : (b - a) • slope f a b +ᵥ f a = f b := by
   rw [sub_smul_slope, vsub_vadd]
 #align sub_smul_slope_vadd sub_smul_slope_vadd
+-/
 
+#print slope_vadd_const /-
 @[simp]
 theorem slope_vadd_const (f : k → E) (c : PE) : (slope fun x => f x +ᵥ c) = slope f :=
   by
   ext (a b)
   simp only [slope, vadd_vsub_vadd_cancel_right, vsub_eq_sub]
 #align slope_vadd_const slope_vadd_const
+-/
 
+#print slope_sub_smul /-
 @[simp]
 theorem slope_sub_smul (f : k → E) {a b : k} (h : a ≠ b) :
     slope (fun x => (x - a) • f x) a b = f b := by
   simp [slope, inv_smul_smul₀ (sub_ne_zero.2 h.symm)]
 #align slope_sub_smul slope_sub_smul
+-/
 
+#print eq_of_slope_eq_zero /-
 theorem eq_of_slope_eq_zero {f : k → PE} {a b : k} (h : slope f a b = (0 : E)) : f a = f b := by
   rw [← sub_smul_slope_vadd f a b, h, smul_zero, zero_vadd]
 #align eq_of_slope_eq_zero eq_of_slope_eq_zero
+-/
 
+#print AffineMap.slope_comp /-
 theorem AffineMap.slope_comp {F PF : Type _} [AddCommGroup F] [Module k F] [AddTorsor F PF]
     (f : PE →ᵃ[k] PF) (g : k → PE) (a b : k) : slope (f ∘ g) a b = f.linear (slope g a b) := by
   simp only [slope, (· ∘ ·), f.linear.map_smul, f.linear_map_vsub]
 #align affine_map.slope_comp AffineMap.slope_comp
+-/
 
+#print LinearMap.slope_comp /-
 theorem LinearMap.slope_comp {F : Type _} [AddCommGroup F] [Module k F] (f : E →ₗ[k] F) (g : k → E)
     (a b : k) : slope (f ∘ g) a b = f (slope g a b) :=
   f.toAffineMap.slope_comp g a b
 #align linear_map.slope_comp LinearMap.slope_comp
+-/
 
+#print slope_comm /-
 theorem slope_comm (f : k → PE) (a b : k) : slope f a b = slope f b a := by
   rw [slope, slope, ← neg_vsub_eq_vsub_rev, smul_neg, ← neg_smul, neg_inv, neg_sub]
 #align slope_comm slope_comm
+-/
 
+#print sub_div_sub_smul_slope_add_sub_div_sub_smul_slope /-
 /-- `slope f a c` is a linear combination of `slope f a b` and `slope f b c`. This version
 explicitly provides coefficients. If `a ≠ c`, then the sum of the coefficients is `1`, so it is
 actually an affine combination, see `line_map_slope_slope_sub_div_sub`. -/
@@ -128,7 +149,9 @@ theorem sub_div_sub_smul_slope_add_sub_div_sub_smul_slope (f : k → PE) (a b c
     smul_inv_smul₀ (sub_ne_zero.2 <| Ne.symm hab), smul_inv_smul₀ (sub_ne_zero.2 <| Ne.symm hbc),
     vsub_add_vsub_cancel]
 #align sub_div_sub_smul_slope_add_sub_div_sub_smul_slope sub_div_sub_smul_slope_add_sub_div_sub_smul_slope
+-/
 
+#print lineMap_slope_slope_sub_div_sub /-
 /-- `slope f a c` is an affine combination of `slope f a b` and `slope f b c`. This version uses
 `line_map` to express this property. -/
 theorem lineMap_slope_slope_sub_div_sub (f : k → PE) (a b c : k) (h : a ≠ c) :
@@ -136,7 +159,9 @@ theorem lineMap_slope_slope_sub_div_sub (f : k → PE) (a b c : k) (h : a ≠ c)
   field_simp [sub_ne_zero.2 h.symm, ← sub_div_sub_smul_slope_add_sub_div_sub_smul_slope f a b c,
     line_map_apply_module]
 #align line_map_slope_slope_sub_div_sub lineMap_slope_slope_sub_div_sub
+-/
 
+#print lineMap_slope_lineMap_slope_lineMap /-
 /-- `slope f a b` is an affine combination of `slope f a (line_map a b r)` and
 `slope f (line_map a b r) b`. We use `line_map` to express this property. -/
 theorem lineMap_slope_lineMap_slope_lineMap (f : k → PE) (a b r : k) :
@@ -148,4 +173,5 @@ theorem lineMap_slope_lineMap_slope_lineMap (f : k → PE) (a b r : k) :
   rw [line_map_apply_ring, eq_div_iff (sub_ne_zero.2 hab), sub_mul, one_mul, mul_sub, ← sub_sub,
     sub_sub_cancel]
 #align line_map_slope_line_map_slope_line_map lineMap_slope_lineMap_slope_lineMap
+-/

69c6a5a1

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -42,44 +42,20 @@ def slope (f : k → PE) (a b : k) : E :=
 #align slope slope
 -/
 
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-Case conversion may be inaccurate. Consider using '#align slope_fun_def slope_fun_defₓ'. -/
 theorem slope_fun_def (f : k → PE) : slope f = fun a b => (b - a)⁻¹ • (f b -ᵥ f a) :=
   rfl
 #align slope_fun_def slope_fun_def
 
 omit E
 
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-Case conversion may be inaccurate. Consider using '#align slope_def_field slope_def_fieldₓ'. -/
 theorem slope_def_field (f : k → k) (a b : k) : slope f a b = (f b - f a) / (b - a) :=
   (div_eq_inv_mul _ _).symm
 #align slope_def_field slope_def_field
 
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 theorem slope_fun_def_field (f : k → k) (a : k) : slope f a = fun b => (f b - f a) / (b - a) :=
   (div_eq_inv_mul _ _).symm
 #align slope_fun_def_field slope_fun_def_field
 
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 @[simp]
 theorem slope_same (f : k → PE) (a : k) : (slope f a a : E) = 0 := by
   rw [slope, sub_self, inv_zero, zero_smul]
@@ -87,22 +63,10 @@ theorem slope_same (f : k → PE) (a : k) : (slope f a a : E) = 0 := by
 
 include E
 
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 theorem slope_def_module (f : k → E) (a b : k) : slope f a b = (b - a)⁻¹ • (f b - f a) :=
   rfl
 #align slope_def_module slope_def_module
 
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 @[simp]
 theorem sub_smul_slope (f : k → PE) (a b : k) : (b - a) • slope f a b = f b -ᵥ f a :=
   by
@@ -111,22 +75,10 @@ theorem sub_smul_slope (f : k → PE) (a b : k) : (b - a) • slope f a b = f b
   · rw [slope, smul_inv_smul₀ (sub_ne_zero.2 hne.symm)]
 #align sub_smul_slope sub_smul_slope
 
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 theorem sub_smul_slope_vadd (f : k → PE) (a b : k) : (b - a) • slope f a b +ᵥ f a = f b := by
   rw [sub_smul_slope, vsub_vadd]
 #align sub_smul_slope_vadd sub_smul_slope_vadd
 
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 @[simp]
 theorem slope_vadd_const (f : k → E) (c : PE) : (slope fun x => f x +ᵥ c) = slope f :=
   by
@@ -134,57 +86,30 @@ theorem slope_vadd_const (f : k → E) (c : PE) : (slope fun x => f x +ᵥ c) =
   simp only [slope, vadd_vsub_vadd_cancel_right, vsub_eq_sub]
 #align slope_vadd_const slope_vadd_const
 
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 @[simp]
 theorem slope_sub_smul (f : k → E) {a b : k} (h : a ≠ b) :
     slope (fun x => (x - a) • f x) a b = f b := by
   simp [slope, inv_smul_smul₀ (sub_ne_zero.2 h.symm)]
 #align slope_sub_smul slope_sub_smul
 
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 theorem eq_of_slope_eq_zero {f : k → PE} {a b : k} (h : slope f a b = (0 : E)) : f a = f b := by
   rw [← sub_smul_slope_vadd f a b, h, smul_zero, zero_vadd]
 #align eq_of_slope_eq_zero eq_of_slope_eq_zero
 
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-<too large>
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 theorem AffineMap.slope_comp {F PF : Type _} [AddCommGroup F] [Module k F] [AddTorsor F PF]
     (f : PE →ᵃ[k] PF) (g : k → PE) (a b : k) : slope (f ∘ g) a b = f.linear (slope g a b) := by
   simp only [slope, (· ∘ ·), f.linear.map_smul, f.linear_map_vsub]
 #align affine_map.slope_comp AffineMap.slope_comp
 
-/- warning: linear_map.slope_comp -> LinearMap.slope_comp is a dubious translation:
-<too large>
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 theorem LinearMap.slope_comp {F : Type _} [AddCommGroup F] [Module k F] (f : E →ₗ[k] F) (g : k → E)
     (a b : k) : slope (f ∘ g) a b = f (slope g a b) :=
   f.toAffineMap.slope_comp g a b
 #align linear_map.slope_comp LinearMap.slope_comp
 
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 theorem slope_comm (f : k → PE) (a b : k) : slope f a b = slope f b a := by
   rw [slope, slope, ← neg_vsub_eq_vsub_rev, smul_neg, ← neg_smul, neg_inv, neg_sub]
 #align slope_comm slope_comm
 
-/- warning: sub_div_sub_smul_slope_add_sub_div_sub_smul_slope -> sub_div_sub_smul_slope_add_sub_div_sub_smul_slope is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align sub_div_sub_smul_slope_add_sub_div_sub_smul_slope sub_div_sub_smul_slope_add_sub_div_sub_smul_slopeₓ'. -/
 /-- `slope f a c` is a linear combination of `slope f a b` and `slope f b c`. This version
 explicitly provides coefficients. If `a ≠ c`, then the sum of the coefficients is `1`, so it is
 actually an affine combination, see `line_map_slope_slope_sub_div_sub`. -/
@@ -204,9 +129,6 @@ theorem sub_div_sub_smul_slope_add_sub_div_sub_smul_slope (f : k → PE) (a b c
     vsub_add_vsub_cancel]
 #align sub_div_sub_smul_slope_add_sub_div_sub_smul_slope sub_div_sub_smul_slope_add_sub_div_sub_smul_slope
 
-/- warning: line_map_slope_slope_sub_div_sub -> lineMap_slope_slope_sub_div_sub is a dubious translation:
-<too large>
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 /-- `slope f a c` is an affine combination of `slope f a b` and `slope f b c`. This version uses
 `line_map` to express this property. -/
 theorem lineMap_slope_slope_sub_div_sub (f : k → PE) (a b c : k) (h : a ≠ c) :
@@ -215,9 +137,6 @@ theorem lineMap_slope_slope_sub_div_sub (f : k → PE) (a b c : k) (h : a ≠ c)
     line_map_apply_module]
 #align line_map_slope_slope_sub_div_sub lineMap_slope_slope_sub_div_sub
 
-/- warning: line_map_slope_line_map_slope_line_map -> lineMap_slope_lineMap_slope_lineMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align line_map_slope_line_map_slope_line_map lineMap_slope_lineMap_slope_lineMapₓ'. -/
 /-- `slope f a b` is an affine combination of `slope f a (line_map a b r)` and
 `slope f (line_map a b r) b`. We use `line_map` to express this property. -/
 theorem lineMap_slope_lineMap_slope_lineMap (f : k → PE) (a b r : k) :

69c6a5a1

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -197,9 +197,7 @@ theorem sub_div_sub_smul_slope_add_sub_div_sub_smul_slope (f : k → PE) (a b c
     by_cases hac : a = c
     · simp [hac]
     · rw [div_self (sub_ne_zero.2 <| Ne.symm hac), one_smul]
-  by_cases hbc : b = c;
-  · subst hbc
-    simp [sub_ne_zero.2 (Ne.symm hab)]
+  by_cases hbc : b = c; · subst hbc; simp [sub_ne_zero.2 (Ne.symm hab)]
   rw [add_comm]
   simp_rw [slope, div_eq_inv_mul, mul_smul, ← smul_add,
     smul_inv_smul₀ (sub_ne_zero.2 <| Ne.symm hab), smul_inv_smul₀ (sub_ne_zero.2 <| Ne.symm hbc),

69c6a5a1

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -157,10 +157,7 @@ theorem eq_of_slope_eq_zero {f : k → PE} {a b : k} (h : slope f a b = (0 : E))
 #align eq_of_slope_eq_zero eq_of_slope_eq_zero
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_map.slope_comp AffineMap.slope_compₓ'. -/
 theorem AffineMap.slope_comp {F PF : Type _} [AddCommGroup F] [Module k F] [AddTorsor F PF]
     (f : PE →ᵃ[k] PF) (g : k → PE) (a b : k) : slope (f ∘ g) a b = f.linear (slope g a b) := by
@@ -168,10 +165,7 @@ theorem AffineMap.slope_comp {F PF : Type _} [AddCommGroup F] [Module k F] [AddT
 #align affine_map.slope_comp AffineMap.slope_comp
 
 /- warning: linear_map.slope_comp -> LinearMap.slope_comp is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.slope_comp LinearMap.slope_compₓ'. -/
 theorem LinearMap.slope_comp {F : Type _} [AddCommGroup F] [Module k F] (f : E →ₗ[k] F) (g : k → E)
     (a b : k) : slope (f ∘ g) a b = f (slope g a b) :=
@@ -189,10 +183,7 @@ theorem slope_comm (f : k → PE) (a b : k) : slope f a b = slope f b a := by
 #align slope_comm slope_comm
 
 /- warning: sub_div_sub_smul_slope_add_sub_div_sub_smul_slope -> sub_div_sub_smul_slope_add_sub_div_sub_smul_slope is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align sub_div_sub_smul_slope_add_sub_div_sub_smul_slope sub_div_sub_smul_slope_add_sub_div_sub_smul_slopeₓ'. -/
 /-- `slope f a c` is a linear combination of `slope f a b` and `slope f b c`. This version
 explicitly provides coefficients. If `a ≠ c`, then the sum of the coefficients is `1`, so it is
@@ -216,10 +207,7 @@ theorem sub_div_sub_smul_slope_add_sub_div_sub_smul_slope (f : k → PE) (a b c
 #align sub_div_sub_smul_slope_add_sub_div_sub_smul_slope sub_div_sub_smul_slope_add_sub_div_sub_smul_slope
 
 /- warning: line_map_slope_slope_sub_div_sub -> lineMap_slope_slope_sub_div_sub is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align line_map_slope_slope_sub_div_sub lineMap_slope_slope_sub_div_subₓ'. -/
 /-- `slope f a c` is an affine combination of `slope f a b` and `slope f b c`. This version uses
 `line_map` to express this property. -/
@@ -230,10 +218,7 @@ theorem lineMap_slope_slope_sub_div_sub (f : k → PE) (a b c : k) (h : a ≠ c)
 #align line_map_slope_slope_sub_div_sub lineMap_slope_slope_sub_div_sub
 
 /- warning: line_map_slope_line_map_slope_line_map -> lineMap_slope_lineMap_slope_lineMap is a dubious translation:
-lean 3 declaration is
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_inst_1)))))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => k) _x) (AffineMap.funLike.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) (AffineMap.lineMap.{u2, u2, u2} k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) a b) r) b) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a (FunLike.coe.{succ u2, succ u2, succ u2} (AffineMap.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => k) _x) (AffineMap.funLike.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) (AffineMap.lineMap.{u2, u2, u2} k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) a b) r))) r) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)
+<too large>
 Case conversion may be inaccurate. Consider using '#align line_map_slope_line_map_slope_line_map lineMap_slope_lineMap_slope_lineMapₓ'. -/
 /-- `slope f a b` is an affine combination of `slope f a (line_map a b r)` and
 `slope f (line_map a b r) b`. We use `line_map` to express this property. -/

69c6a5a1

bump to nightly-2023-05-24-06

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

fbc7b476

Diff

@@ -160,7 +160,7 @@ theorem eq_of_slope_eq_zero {f : k → PE} {a b : k} (h : slope f a b = (0 : E))
 lean 3 declaration is
   forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] {F : Type.{u4}} {PF : Type.{u5}} [_inst_5 : AddCommGroup.{u4} F] [_inst_6 : Module.{u1, u4} k F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5)] [_inst_7 : AddTorsor.{u4, u5} F PF (AddCommGroup.toAddGroup.{u4} F _inst_5)] (f : AffineMap.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (g : k -> PE) (a : k) (b : k), Eq.{succ u4} F (slope.{u1, u4, u5} k F PF _inst_1 _inst_5 _inst_6 _inst_7 (Function.comp.{succ u1, succ u3, succ u5} k PE PF (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u3) (succ u5)} (AffineMap.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineMap.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => PE -> PF) (AffineMap.hasCoeToFun.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) f) g) a b) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearMap.{u1, u1, u2, u4} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u4} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5) _inst_3 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u4} k k E F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (AffineMap.linear.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 g a b))
 but is expected to have type
-  forall {k : Type.{u3}} {E : Type.{u2}} {PE : Type.{u1}} [_inst_1 : Field.{u3} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} k E (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u1} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] {F : Type.{u5}} {PF : Type.{u4}} [_inst_5 : AddCommGroup.{u5} F] [_inst_6 : Module.{u3, u5} k F (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5)] [_inst_7 : AddTorsor.{u5, u4} F PF (AddCommGroup.toAddGroup.{u5} F _inst_5)] (f : AffineMap.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (g : k -> PE) (a : k) (b : k), Eq.{succ u5} F (slope.{u3, u5, u4} k F PF _inst_1 _inst_5 _inst_6 _inst_7 (Function.comp.{succ u3, succ u1, succ u4} k PE PF (FunLike.coe.{max (max (max (succ u2) (succ u1)) (succ u5)) (succ u4), succ u1, succ u4} (AffineMap.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) PE (fun (_x : PE) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : PE) => PF) _x) (AffineMap.funLike.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) f) g) a b) (FunLike.coe.{max (succ u2) (succ u5), succ u2, succ u5} (LinearMap.{u3, u3, u2, u5} k k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u5} k k E F (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))))) (AffineMap.linear.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 g a b))
+  forall {k : Type.{u3}} {E : Type.{u2}} {PE : Type.{u1}} [_inst_1 : Field.{u3} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} k E (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u1} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] {F : Type.{u5}} {PF : Type.{u4}} [_inst_5 : AddCommGroup.{u5} F] [_inst_6 : Module.{u3, u5} k F (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5)] [_inst_7 : AddTorsor.{u5, u4} F PF (AddCommGroup.toAddGroup.{u5} F _inst_5)] (f : AffineMap.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (g : k -> PE) (a : k) (b : k), Eq.{succ u5} F (slope.{u3, u5, u4} k F PF _inst_1 _inst_5 _inst_6 _inst_7 (Function.comp.{succ u3, succ u1, succ u4} k PE PF (FunLike.coe.{max (max (max (succ u2) (succ u1)) (succ u5)) (succ u4), succ u1, succ u4} (AffineMap.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) PE (fun (_x : PE) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : PE) => PF) _x) (AffineMap.funLike.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) f) g) a b) (FunLike.coe.{max (succ u2) (succ u5), succ u2, succ u5} (LinearMap.{u3, u3, u2, u5} k k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u5} k k E F (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))))) (AffineMap.linear.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 g a b))
 Case conversion may be inaccurate. Consider using '#align affine_map.slope_comp AffineMap.slope_compₓ'. -/
 theorem AffineMap.slope_comp {F PF : Type _} [AddCommGroup F] [Module k F] [AddTorsor F PF]
     (f : PE →ᵃ[k] PF) (g : k → PE) (a b : k) : slope (f ∘ g) a b = f.linear (slope g a b) := by
@@ -171,7 +171,7 @@ theorem AffineMap.slope_comp {F PF : Type _} [AddCommGroup F] [Module k F] [AddT
 lean 3 declaration is
   forall {k : Type.{u1}} {E : Type.{u2}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_5 : AddCommGroup.{u3} F] [_inst_6 : Module.{u1, u3} k F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)] (f : LinearMap.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) (g : k -> E) (a : k) (b : k), Eq.{succ u3} F (slope.{u1, u3, u3} k F F _inst_1 _inst_5 _inst_6 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5)) (Function.comp.{succ u1, succ u2, succ u3} k E F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} k k E F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) f) g) a b) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} k k E F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) f (slope.{u1, u2, u2} k E E _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) g a b))
 but is expected to have type
-  forall {k : Type.{u2}} {E : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u3}} [_inst_5 : AddCommGroup.{u3} F] [_inst_6 : Module.{u2, u3} k F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)] (f : LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) (g : k -> E) (a : k) (b : k), Eq.{succ u3} F (slope.{u2, u3, u3} k F F _inst_1 _inst_5 _inst_6 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5)) (Function.comp.{succ u2, succ u1, succ u3} k E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} k k E F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))))) f) g) a b) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} k k E F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))))) f (slope.{u2, u1, u1} k E E _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) g a b))
+  forall {k : Type.{u2}} {E : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u3}} [_inst_5 : AddCommGroup.{u3} F] [_inst_6 : Module.{u2, u3} k F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)] (f : LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) (g : k -> E) (a : k) (b : k), Eq.{succ u3} F (slope.{u2, u3, u3} k F F _inst_1 _inst_5 _inst_6 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5)) (Function.comp.{succ u2, succ u1, succ u3} k E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} k k E F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))))) f) g) a b) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} k k E F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))))) f (slope.{u2, u1, u1} k E E _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) g a b))
 Case conversion may be inaccurate. Consider using '#align linear_map.slope_comp LinearMap.slope_compₓ'. -/
 theorem LinearMap.slope_comp {F : Type _} [AddCommGroup F] [Module k F] (f : E →ₗ[k] F) (g : k → E)
     (a b : k) : slope (f ∘ g) a b = f (slope g a b) :=

69c6a5a1

bump to nightly-2023-05-18-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/c89fe2d59ae06402c3f55f978016d1ada444f57e

b46e9d53

Diff

@@ -160,7 +160,7 @@ theorem eq_of_slope_eq_zero {f : k → PE} {a b : k} (h : slope f a b = (0 : E))
 lean 3 declaration is
   forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] {F : Type.{u4}} {PF : Type.{u5}} [_inst_5 : AddCommGroup.{u4} F] [_inst_6 : Module.{u1, u4} k F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5)] [_inst_7 : AddTorsor.{u4, u5} F PF (AddCommGroup.toAddGroup.{u4} F _inst_5)] (f : AffineMap.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (g : k -> PE) (a : k) (b : k), Eq.{succ u4} F (slope.{u1, u4, u5} k F PF _inst_1 _inst_5 _inst_6 _inst_7 (Function.comp.{succ u1, succ u3, succ u5} k PE PF (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u3) (succ u5)} (AffineMap.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineMap.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => PE -> PF) (AffineMap.hasCoeToFun.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) f) g) a b) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearMap.{u1, u1, u2, u4} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u4} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5) _inst_3 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u4} k k E F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (AffineMap.linear.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 g a b))
 but is expected to have type
-  forall {k : Type.{u3}} {E : Type.{u2}} {PE : Type.{u1}} [_inst_1 : Field.{u3} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} k E (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u1} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] {F : Type.{u5}} {PF : Type.{u4}} [_inst_5 : AddCommGroup.{u5} F] [_inst_6 : Module.{u3, u5} k F (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5)] [_inst_7 : AddTorsor.{u5, u4} F PF (AddCommGroup.toAddGroup.{u5} F _inst_5)] (f : AffineMap.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (g : k -> PE) (a : k) (b : k), Eq.{succ u5} F (slope.{u3, u5, u4} k F PF _inst_1 _inst_5 _inst_6 _inst_7 (Function.comp.{succ u3, succ u1, succ u4} k PE PF (FunLike.coe.{max (max (max (succ u2) (succ u1)) (succ u5)) (succ u4), succ u1, succ u4} (AffineMap.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) PE (fun (_x : PE) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : PE) => PF) _x) (AffineMap.funLike.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) f) g) a b) (FunLike.coe.{max (succ u2) (succ u5), succ u2, succ u5} (LinearMap.{u3, u3, u2, u5} k k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u5} k k E F (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))))) (AffineMap.linear.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 g a b))
+  forall {k : Type.{u3}} {E : Type.{u2}} {PE : Type.{u1}} [_inst_1 : Field.{u3} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} k E (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u1} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] {F : Type.{u5}} {PF : Type.{u4}} [_inst_5 : AddCommGroup.{u5} F] [_inst_6 : Module.{u3, u5} k F (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5)] [_inst_7 : AddTorsor.{u5, u4} F PF (AddCommGroup.toAddGroup.{u5} F _inst_5)] (f : AffineMap.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (g : k -> PE) (a : k) (b : k), Eq.{succ u5} F (slope.{u3, u5, u4} k F PF _inst_1 _inst_5 _inst_6 _inst_7 (Function.comp.{succ u3, succ u1, succ u4} k PE PF (FunLike.coe.{max (max (max (succ u2) (succ u1)) (succ u5)) (succ u4), succ u1, succ u4} (AffineMap.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) PE (fun (_x : PE) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : PE) => PF) _x) (AffineMap.funLike.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) f) g) a b) (FunLike.coe.{max (succ u2) (succ u5), succ u2, succ u5} (LinearMap.{u3, u3, u2, u5} k k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u5} k k E F (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))))) (AffineMap.linear.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 g a b))
 Case conversion may be inaccurate. Consider using '#align affine_map.slope_comp AffineMap.slope_compₓ'. -/
 theorem AffineMap.slope_comp {F PF : Type _} [AddCommGroup F] [Module k F] [AddTorsor F PF]
     (f : PE →ᵃ[k] PF) (g : k → PE) (a b : k) : slope (f ∘ g) a b = f.linear (slope g a b) := by
@@ -171,7 +171,7 @@ theorem AffineMap.slope_comp {F PF : Type _} [AddCommGroup F] [Module k F] [AddT
 lean 3 declaration is
   forall {k : Type.{u1}} {E : Type.{u2}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_5 : AddCommGroup.{u3} F] [_inst_6 : Module.{u1, u3} k F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)] (f : LinearMap.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) (g : k -> E) (a : k) (b : k), Eq.{succ u3} F (slope.{u1, u3, u3} k F F _inst_1 _inst_5 _inst_6 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5)) (Function.comp.{succ u1, succ u2, succ u3} k E F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} k k E F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) f) g) a b) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} k k E F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) f (slope.{u1, u2, u2} k E E _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) g a b))
 but is expected to have type
-  forall {k : Type.{u2}} {E : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u3}} [_inst_5 : AddCommGroup.{u3} F] [_inst_6 : Module.{u2, u3} k F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)] (f : LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) (g : k -> E) (a : k) (b : k), Eq.{succ u3} F (slope.{u2, u3, u3} k F F _inst_1 _inst_5 _inst_6 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5)) (Function.comp.{succ u2, succ u1, succ u3} k E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} k k E F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))))) f) g) a b) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} k k E F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))))) f (slope.{u2, u1, u1} k E E _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) g a b))
+  forall {k : Type.{u2}} {E : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u3}} [_inst_5 : AddCommGroup.{u3} F] [_inst_6 : Module.{u2, u3} k F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)] (f : LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) (g : k -> E) (a : k) (b : k), Eq.{succ u3} F (slope.{u2, u3, u3} k F F _inst_1 _inst_5 _inst_6 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5)) (Function.comp.{succ u2, succ u1, succ u3} k E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} k k E F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))))) f) g) a b) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} k k E F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))))) f (slope.{u2, u1, u1} k E E _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) g a b))
 Case conversion may be inaccurate. Consider using '#align linear_map.slope_comp LinearMap.slope_compₓ'. -/
 theorem LinearMap.slope_comp {F : Type _} [AddCommGroup F] [Module k F] (f : E →ₗ[k] F) (g : k → E)
     (a b : k) : slope (f ∘ g) a b = f (slope g a b) :=

69c6a5a1

bump to nightly-2023-05-16-22

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

00d01a10

Diff

@@ -58,7 +58,7 @@ omit E
 lean 3 declaration is
   forall {k : Type.{u1}} [_inst_1 : Field.{u1} k] (f : k -> k) (a : k) (b : k), Eq.{succ u1} k (slope.{u1, u1, u1} k k k _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) f a b) (HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (DivInvMonoid.toHasDiv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) (f b) (f a)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a))
 but is expected to have type
-  forall {k : Type.{u1}} [_inst_1 : Field.{u1} k] (f : k -> k) (a : k) (b : k), Eq.{succ u1} k (slope.{u1, u1, u1} k k k _inst_1 (Ring.toAddCommGroup.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) f a b) (HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (Field.toDiv.{u1} k _inst_1)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (Ring.toSub.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (f b) (f a)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (Ring.toSub.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) b a))
+  forall {k : Type.{u1}} [_inst_1 : Field.{u1} k] (f : k -> k) (a : k) (b : k), Eq.{succ u1} k (slope.{u1, u1, u1} k k k _inst_1 (Ring.toAddCommGroup.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (DivisionSemiring.toSemiring.{u1} k (Semifield.toDivisionSemiring.{u1} k (Field.toSemifield.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) f a b) (HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (Field.toDiv.{u1} k _inst_1)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (Ring.toSub.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (f b) (f a)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (Ring.toSub.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) b a))
 Case conversion may be inaccurate. Consider using '#align slope_def_field slope_def_fieldₓ'. -/
 theorem slope_def_field (f : k → k) (a b : k) : slope f a b = (f b - f a) / (b - a) :=
   (div_eq_inv_mul _ _).symm
@@ -68,7 +68,7 @@ theorem slope_def_field (f : k → k) (a b : k) : slope f a b = (f b - f a) / (b
 lean 3 declaration is
   forall {k : Type.{u1}} [_inst_1 : Field.{u1} k] (f : k -> k) (a : k), Eq.{succ u1} (k -> k) (slope.{u1, u1, u1} k k k _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) f a) (fun (b : k) => HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (DivInvMonoid.toHasDiv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) (f b) (f a)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a))
 but is expected to have type
-  forall {k : Type.{u1}} [_inst_1 : Field.{u1} k] (f : k -> k) (a : k), Eq.{succ u1} (k -> k) (slope.{u1, u1, u1} k k k _inst_1 (Ring.toAddCommGroup.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) f a) (fun (b : k) => HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (Field.toDiv.{u1} k _inst_1)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (Ring.toSub.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (f b) (f a)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (Ring.toSub.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) b a))
+  forall {k : Type.{u1}} [_inst_1 : Field.{u1} k] (f : k -> k) (a : k), Eq.{succ u1} (k -> k) (slope.{u1, u1, u1} k k k _inst_1 (Ring.toAddCommGroup.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Semiring.toModule.{u1} k (DivisionSemiring.toSemiring.{u1} k (Semifield.toDivisionSemiring.{u1} k (Field.toSemifield.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) f a) (fun (b : k) => HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (Field.toDiv.{u1} k _inst_1)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (Ring.toSub.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (f b) (f a)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (Ring.toSub.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) b a))
 Case conversion may be inaccurate. Consider using '#align slope_fun_def_field slope_fun_def_fieldₓ'. -/
 theorem slope_fun_def_field (f : k → k) (a : k) : slope f a = fun b => (f b - f a) / (b - a) :=
   (div_eq_inv_mul _ _).symm
@@ -160,7 +160,7 @@ theorem eq_of_slope_eq_zero {f : k → PE} {a b : k} (h : slope f a b = (0 : E))
 lean 3 declaration is
   forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] {F : Type.{u4}} {PF : Type.{u5}} [_inst_5 : AddCommGroup.{u4} F] [_inst_6 : Module.{u1, u4} k F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5)] [_inst_7 : AddTorsor.{u4, u5} F PF (AddCommGroup.toAddGroup.{u4} F _inst_5)] (f : AffineMap.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (g : k -> PE) (a : k) (b : k), Eq.{succ u4} F (slope.{u1, u4, u5} k F PF _inst_1 _inst_5 _inst_6 _inst_7 (Function.comp.{succ u1, succ u3, succ u5} k PE PF (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u3) (succ u5)} (AffineMap.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineMap.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => PE -> PF) (AffineMap.hasCoeToFun.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) f) g) a b) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearMap.{u1, u1, u2, u4} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u4} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5) _inst_3 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u4} k k E F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (AffineMap.linear.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 g a b))
 but is expected to have type
-  forall {k : Type.{u3}} {E : Type.{u2}} {PE : Type.{u1}} [_inst_1 : Field.{u3} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} k E (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u1} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] {F : Type.{u5}} {PF : Type.{u4}} [_inst_5 : AddCommGroup.{u5} F] [_inst_6 : Module.{u3, u5} k F (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5)] [_inst_7 : AddTorsor.{u5, u4} F PF (AddCommGroup.toAddGroup.{u5} F _inst_5)] (f : AffineMap.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (g : k -> PE) (a : k) (b : k), Eq.{succ u5} F (slope.{u3, u5, u4} k F PF _inst_1 _inst_5 _inst_6 _inst_7 (Function.comp.{succ u3, succ u1, succ u4} k PE PF (FunLike.coe.{max (max (max (succ u2) (succ u1)) (succ u5)) (succ u4), succ u1, succ u4} (AffineMap.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) PE (fun (_x : PE) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : PE) => PF) _x) (AffineMap.funLike.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) f) g) a b) (FunLike.coe.{max (succ u2) (succ u5), succ u2, succ u5} (LinearMap.{u3, u3, u2, u5} k k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u5} k k E F (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))))) (AffineMap.linear.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 g a b))
+  forall {k : Type.{u3}} {E : Type.{u2}} {PE : Type.{u1}} [_inst_1 : Field.{u3} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} k E (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u1} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] {F : Type.{u5}} {PF : Type.{u4}} [_inst_5 : AddCommGroup.{u5} F] [_inst_6 : Module.{u3, u5} k F (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5)] [_inst_7 : AddTorsor.{u5, u4} F PF (AddCommGroup.toAddGroup.{u5} F _inst_5)] (f : AffineMap.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (g : k -> PE) (a : k) (b : k), Eq.{succ u5} F (slope.{u3, u5, u4} k F PF _inst_1 _inst_5 _inst_6 _inst_7 (Function.comp.{succ u3, succ u1, succ u4} k PE PF (FunLike.coe.{max (max (max (succ u2) (succ u1)) (succ u5)) (succ u4), succ u1, succ u4} (AffineMap.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) PE (fun (_x : PE) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : PE) => PF) _x) (AffineMap.funLike.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) f) g) a b) (FunLike.coe.{max (succ u2) (succ u5), succ u2, succ u5} (LinearMap.{u3, u3, u2, u5} k k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u5} k k E F (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))))) (AffineMap.linear.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 g a b))
 Case conversion may be inaccurate. Consider using '#align affine_map.slope_comp AffineMap.slope_compₓ'. -/
 theorem AffineMap.slope_comp {F PF : Type _} [AddCommGroup F] [Module k F] [AddTorsor F PF]
     (f : PE →ᵃ[k] PF) (g : k → PE) (a b : k) : slope (f ∘ g) a b = f.linear (slope g a b) := by
@@ -219,7 +219,7 @@ theorem sub_div_sub_smul_slope_add_sub_div_sub_smul_slope (f : k → PE) (a b c
 lean 3 declaration is
   forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k) (c : k), (Ne.{succ u1} k a c) -> (Eq.{succ u2} E (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => k -> E) (AffineMap.hasCoeToFun.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (AffineMap.lineMap.{u1, u2, u2} k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f b c)) (HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (DivInvMonoid.toHasDiv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) c b) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) c a))) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a c))
 but is expected to have type
-  forall {k : Type.{u3}} {E : Type.{u2}} {PE : Type.{u1}} [_inst_1 : Field.{u3} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} k E (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u1} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k) (c : k), (Ne.{succ u3} k a c) -> (Eq.{succ u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => E) (HDiv.hDiv.{u3, u3, u3} k k k (instHDiv.{u3} k (Field.toDiv.{u3} k _inst_1)) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c b) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c a))) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (AffineMap.{u3, u3, u3, u2, u2} k k k E E (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) (Ring.toAddCommGroup.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (addGroupIsAddTorsor.{u3} k (AddGroupWithOne.toAddGroup.{u3} k (Ring.toAddGroupWithOne.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => E) _x) (AffineMap.funLike.{u3, u3, u3, u2, u2} k k k E E (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) (Ring.toAddCommGroup.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (addGroupIsAddTorsor.{u3} k (AddGroupWithOne.toAddGroup.{u3} k (Ring.toAddGroupWithOne.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (AffineMap.lineMap.{u3, u2, u2} k E E (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f b c)) (HDiv.hDiv.{u3, u3, u3} k k k (instHDiv.{u3} k (Field.toDiv.{u3} k _inst_1)) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c b) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c a))) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a c))
+  forall {k : Type.{u3}} {E : Type.{u2}} {PE : Type.{u1}} [_inst_1 : Field.{u3} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} k E (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u1} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k) (c : k), (Ne.{succ u3} k a c) -> (Eq.{succ u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => E) (HDiv.hDiv.{u3, u3, u3} k k k (instHDiv.{u3} k (Field.toDiv.{u3} k _inst_1)) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c b) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c a))) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (AffineMap.{u3, u3, u3, u2, u2} k k k E E (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) (Ring.toAddCommGroup.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Semiring.toModule.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) (addGroupIsAddTorsor.{u3} k (AddGroupWithOne.toAddGroup.{u3} k (Ring.toAddGroupWithOne.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => E) _x) (AffineMap.funLike.{u3, u3, u3, u2, u2} k k k E E (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) (Ring.toAddCommGroup.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Semiring.toModule.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) (addGroupIsAddTorsor.{u3} k (AddGroupWithOne.toAddGroup.{u3} k (Ring.toAddGroupWithOne.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (AffineMap.lineMap.{u3, u2, u2} k E E (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f b c)) (HDiv.hDiv.{u3, u3, u3} k k k (instHDiv.{u3} k (Field.toDiv.{u3} k _inst_1)) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c b) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c a))) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a c))
 Case conversion may be inaccurate. Consider using '#align line_map_slope_slope_sub_div_sub lineMap_slope_slope_sub_div_subₓ'. -/
 /-- `slope f a c` is an affine combination of `slope f a b` and `slope f b c`. This version uses
 `line_map` to express this property. -/
@@ -233,7 +233,7 @@ theorem lineMap_slope_slope_sub_div_sub (f : k → PE) (a b c : k) (h : a ≠ c)
 lean 3 declaration is
   forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k) (r : k), Eq.{succ u2} E (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => k -> E) (AffineMap.hasCoeToFun.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (AffineMap.lineMap.{u1, u2, u2} k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f (coeFn.{succ u1, succ u1} (AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (fun (_x : AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) => k -> k) (AffineMap.hasCoeToFun.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AffineMap.lineMap.{u1, u1, u1} k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) a b) r) b) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a (coeFn.{succ u1, succ u1} (AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (fun (_x : AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) => k -> k) (AffineMap.hasCoeToFun.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AffineMap.lineMap.{u1, u1, u1} k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) a b) r))) r) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)
 but is expected to have type
-  forall {k : Type.{u2}} {E : Type.{u3}} {PE : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : AddTorsor.{u3, u1} E PE (AddCommGroup.toAddGroup.{u3} E _inst_2)] (f : k -> PE) (a : k) (b : k) (r : k), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => E) r) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u3, u3} k k k E E (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => E) _x) (AffineMap.funLike.{u2, u2, u2, u3, u3} k k k E E (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (AffineMap.lineMap.{u2, u3, u3} k E E (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f (FunLike.coe.{succ u2, succ u2, succ u2} (AffineMap.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => k) _x) (AffineMap.funLike.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) (AffineMap.lineMap.{u2, u2, u2} k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) a b) r) b) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a (FunLike.coe.{succ u2, succ u2, succ u2} (AffineMap.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => k) _x) (AffineMap.funLike.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) (AffineMap.lineMap.{u2, u2, u2} k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) a b) r))) r) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)
+  forall {k : Type.{u2}} {E : Type.{u3}} {PE : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : AddTorsor.{u3, u1} E PE (AddCommGroup.toAddGroup.{u3} E _inst_2)] (f : k -> PE) (a : k) (b : k) (r : k), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => E) r) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u3, u3} k k k E E (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => E) _x) (AffineMap.funLike.{u2, u2, u2, u3, u3} k k k E E (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (AffineMap.lineMap.{u2, u3, u3} k E E (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f (FunLike.coe.{succ u2, succ u2, succ u2} (AffineMap.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => k) _x) (AffineMap.funLike.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) (AffineMap.lineMap.{u2, u2, u2} k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) a b) r) b) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a (FunLike.coe.{succ u2, succ u2, succ u2} (AffineMap.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : k) => k) _x) (AffineMap.funLike.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) (AffineMap.lineMap.{u2, u2, u2} k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (Semiring.toModule.{u2} k (Ring.toSemiring.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) a b) r))) r) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)
 Case conversion may be inaccurate. Consider using '#align line_map_slope_line_map_slope_line_map lineMap_slope_lineMap_slope_lineMapₓ'. -/
 /-- `slope f a b` is an affine combination of `slope f a (line_map a b r)` and
 `slope f (line_map a b r) b`. We use `line_map` to express this property. -/

69c6a5a1

bump to nightly-2023-03-27-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce86f4e05e9a9b8da5e316b22c76ce76440c56a1

0e4ebd8c

Diff

@@ -44,7 +44,7 @@ def slope (f : k → PE) (a b : k) : E :=
 
 /- warning: slope_fun_def -> slope_fun_def is a dubious translation:
 lean 3 declaration is
-  forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE), Eq.{max (succ u1) (succ u2)} (k -> k -> E) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f) (fun (a : k) (b : k) => SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Inv.inv.{u1} k (DivInvMonoid.toHasInv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a)) (VSub.vsub.{u2, u3} E PE (AddTorsor.toHasVsub.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_4) (f b) (f a)))
+  forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE), Eq.{max (succ u1) (succ u2)} (k -> k -> E) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f) (fun (a : k) (b : k) => SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Inv.inv.{u1} k (DivInvMonoid.toHasInv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a)) (VSub.vsub.{u2, u3} E PE (AddTorsor.toHasVsub.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_4) (f b) (f a)))
 but is expected to have type
   forall {k : Type.{u3}} {E : Type.{u2}} {PE : Type.{u1}} [_inst_1 : Field.{u3} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} k E (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u1} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE), Eq.{max (succ u3) (succ u2)} (k -> k -> E) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f) (fun (a : k) (b : k) => HSMul.hSMul.{u3, u2, u2} k E E (instHSMul.{u3, u2} k E (SMulZeroClass.toSMul.{u3, u2} k E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} k E (CommMonoidWithZero.toZero.{u3} k (CommGroupWithZero.toCommMonoidWithZero.{u3} k (Semifield.toCommGroupWithZero.{u3} k (Field.toSemifield.{u3} k _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} k E (Semiring.toMonoidWithZero.{u3} k (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} k E (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Inv.inv.{u3} k (Field.toInv.{u3} k _inst_1) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) b a)) (VSub.vsub.{u2, u1} E PE (AddTorsor.toVSub.{u2, u1} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_4) (f b) (f a)))
 Case conversion may be inaccurate. Consider using '#align slope_fun_def slope_fun_defₓ'. -/
@@ -56,7 +56,7 @@ omit E
 
 /- warning: slope_def_field -> slope_def_field is a dubious translation:
 lean 3 declaration is
-  forall {k : Type.{u1}} [_inst_1 : Field.{u1} k] (f : k -> k) (a : k) (b : k), Eq.{succ u1} k (slope.{u1, u1, u1} k k k _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) f a b) (HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (DivInvMonoid.toHasDiv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) (f b) (f a)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a))
+  forall {k : Type.{u1}} [_inst_1 : Field.{u1} k] (f : k -> k) (a : k) (b : k), Eq.{succ u1} k (slope.{u1, u1, u1} k k k _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) f a b) (HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (DivInvMonoid.toHasDiv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) (f b) (f a)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a))
 but is expected to have type
   forall {k : Type.{u1}} [_inst_1 : Field.{u1} k] (f : k -> k) (a : k) (b : k), Eq.{succ u1} k (slope.{u1, u1, u1} k k k _inst_1 (Ring.toAddCommGroup.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) f a b) (HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (Field.toDiv.{u1} k _inst_1)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (Ring.toSub.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (f b) (f a)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (Ring.toSub.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) b a))
 Case conversion may be inaccurate. Consider using '#align slope_def_field slope_def_fieldₓ'. -/
@@ -66,7 +66,7 @@ theorem slope_def_field (f : k → k) (a b : k) : slope f a b = (f b - f a) / (b
 
 /- warning: slope_fun_def_field -> slope_fun_def_field is a dubious translation:
 lean 3 declaration is
-  forall {k : Type.{u1}} [_inst_1 : Field.{u1} k] (f : k -> k) (a : k), Eq.{succ u1} (k -> k) (slope.{u1, u1, u1} k k k _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) f a) (fun (b : k) => HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (DivInvMonoid.toHasDiv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) (f b) (f a)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a))
+  forall {k : Type.{u1}} [_inst_1 : Field.{u1} k] (f : k -> k) (a : k), Eq.{succ u1} (k -> k) (slope.{u1, u1, u1} k k k _inst_1 (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) f a) (fun (b : k) => HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (DivInvMonoid.toHasDiv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) (f b) (f a)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a))
 but is expected to have type
   forall {k : Type.{u1}} [_inst_1 : Field.{u1} k] (f : k -> k) (a : k), Eq.{succ u1} (k -> k) (slope.{u1, u1, u1} k k k _inst_1 (Ring.toAddCommGroup.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (Ring.toAddGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) f a) (fun (b : k) => HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (Field.toDiv.{u1} k _inst_1)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (Ring.toSub.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (f b) (f a)) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (Ring.toSub.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) b a))
 Case conversion may be inaccurate. Consider using '#align slope_fun_def_field slope_fun_def_fieldₓ'. -/
@@ -89,7 +89,7 @@ include E
 
 /- warning: slope_def_module -> slope_def_module is a dubious translation:
 lean 3 declaration is
-  forall {k : Type.{u1}} {E : Type.{u2}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (f : k -> E) (a : k) (b : k), Eq.{succ u2} E (slope.{u1, u2, u2} k E E _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) f a b) (SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Inv.inv.{u1} k (DivInvMonoid.toHasInv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a)) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) (f b) (f a)))
+  forall {k : Type.{u1}} {E : Type.{u2}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (f : k -> E) (a : k) (b : k), Eq.{succ u2} E (slope.{u1, u2, u2} k E E _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) f a b) (SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Inv.inv.{u1} k (DivInvMonoid.toHasInv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a)) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) (f b) (f a)))
 but is expected to have type
   forall {k : Type.{u1}} {E : Type.{u2}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (DivisionSemiring.toSemiring.{u1} k (Semifield.toDivisionSemiring.{u1} k (Field.toSemifield.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (f : k -> E) (a : k) (b : k), Eq.{succ u2} E (slope.{u1, u2, u2} k E E _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) f a b) (HSMul.hSMul.{u1, u2, u2} k E E (instHSMul.{u1, u2} k E (SMulZeroClass.toSMul.{u1, u2} k E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} k E (CommMonoidWithZero.toZero.{u1} k (CommGroupWithZero.toCommMonoidWithZero.{u1} k (Semifield.toCommGroupWithZero.{u1} k (Field.toSemifield.{u1} k _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (DivisionSemiring.toSemiring.{u1} k (Semifield.toDivisionSemiring.{u1} k (Field.toSemifield.{u1} k _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} k E (DivisionSemiring.toSemiring.{u1} k (Semifield.toDivisionSemiring.{u1} k (Field.toSemifield.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Inv.inv.{u1} k (Field.toInv.{u1} k _inst_1) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (Ring.toSub.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) b a)) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) (f b) (f a)))
 Case conversion may be inaccurate. Consider using '#align slope_def_module slope_def_moduleₓ'. -/
@@ -99,7 +99,7 @@ theorem slope_def_module (f : k → E) (a b : k) : slope f a b = (b - a)⁻¹ 
 
 /- warning: sub_smul_slope -> sub_smul_slope is a dubious translation:
 lean 3 declaration is
-  forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k), Eq.{succ u2} E (SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)) (VSub.vsub.{u2, u3} E PE (AddTorsor.toHasVsub.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_4) (f b) (f a))
+  forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k), Eq.{succ u2} E (SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)) (VSub.vsub.{u2, u3} E PE (AddTorsor.toHasVsub.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_4) (f b) (f a))
 but is expected to have type
   forall {k : Type.{u2}} {E : Type.{u3}} {PE : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : AddTorsor.{u3, u1} E PE (AddCommGroup.toAddGroup.{u3} E _inst_2)] (f : k -> PE) (a : k) (b : k), Eq.{succ u3} E (HSMul.hSMul.{u2, u3, u3} k E E (instHSMul.{u2, u3} k E (SMulZeroClass.toSMul.{u2, u3} k E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u3} k E (CommMonoidWithZero.toZero.{u2} k (CommGroupWithZero.toCommMonoidWithZero.{u2} k (Semifield.toCommGroupWithZero.{u2} k (Field.toSemifield.{u2} k _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} k E (Semiring.toMonoidWithZero.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (HSub.hSub.{u2, u2, u2} k k k (instHSub.{u2} k (Ring.toSub.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) b a) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)) (VSub.vsub.{u3, u1} E PE (AddTorsor.toVSub.{u3, u1} E PE (AddCommGroup.toAddGroup.{u3} E _inst_2) _inst_4) (f b) (f a))
 Case conversion may be inaccurate. Consider using '#align sub_smul_slope sub_smul_slopeₓ'. -/
@@ -113,7 +113,7 @@ theorem sub_smul_slope (f : k → PE) (a b : k) : (b - a) • slope f a b = f b
 
 /- warning: sub_smul_slope_vadd -> sub_smul_slope_vadd is a dubious translation:
 lean 3 declaration is
-  forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k), Eq.{succ u3} PE (VAdd.vadd.{u2, u3} E PE (AddAction.toHasVadd.{u2, u3} E PE (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (AddTorsor.toAddAction.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_4)) (SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)) (f a)) (f b)
+  forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k), Eq.{succ u3} PE (VAdd.vadd.{u2, u3} E PE (AddAction.toHasVadd.{u2, u3} E PE (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (AddTorsor.toAddAction.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_4)) (SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)) (f a)) (f b)
 but is expected to have type
   forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (DivisionSemiring.toSemiring.{u1} k (Semifield.toDivisionSemiring.{u1} k (Field.toSemifield.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k), Eq.{succ u3} PE (HVAdd.hVAdd.{u2, u3, u3} E PE PE (instHVAdd.{u2, u3} E PE (AddAction.toVAdd.{u2, u3} E PE (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (AddTorsor.toAddAction.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_4))) (HSMul.hSMul.{u1, u2, u2} k E E (instHSMul.{u1, u2} k E (SMulZeroClass.toSMul.{u1, u2} k E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} k E (CommMonoidWithZero.toZero.{u1} k (CommGroupWithZero.toCommMonoidWithZero.{u1} k (Semifield.toCommGroupWithZero.{u1} k (Field.toSemifield.{u1} k _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (DivisionSemiring.toSemiring.{u1} k (Semifield.toDivisionSemiring.{u1} k (Field.toSemifield.{u1} k _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} k E (DivisionSemiring.toSemiring.{u1} k (Semifield.toDivisionSemiring.{u1} k (Field.toSemifield.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (Ring.toSub.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) b a) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)) (f a)) (f b)
 Case conversion may be inaccurate. Consider using '#align sub_smul_slope_vadd sub_smul_slope_vaddₓ'. -/
@@ -136,7 +136,7 @@ theorem slope_vadd_const (f : k → E) (c : PE) : (slope fun x => f x +ᵥ c) =
 
 /- warning: slope_sub_smul -> slope_sub_smul is a dubious translation:
 lean 3 declaration is
-  forall {k : Type.{u1}} {E : Type.{u2}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (f : k -> E) {a : k} {b : k}, (Ne.{succ u1} k a b) -> (Eq.{succ u2} E (slope.{u1, u2, u2} k E E _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (fun (x : k) => SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) x a) (f x)) a b) (f b))
+  forall {k : Type.{u1}} {E : Type.{u2}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (f : k -> E) {a : k} {b : k}, (Ne.{succ u1} k a b) -> (Eq.{succ u2} E (slope.{u1, u2, u2} k E E _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (fun (x : k) => SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) x a) (f x)) a b) (f b))
 but is expected to have type
   forall {k : Type.{u2}} {E : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (f : k -> E) {a : k} {b : k}, (Ne.{succ u2} k a b) -> (Eq.{succ u1} E (slope.{u2, u1, u1} k E E _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) (fun (x : k) => HSMul.hSMul.{u2, u1, u1} k E E (instHSMul.{u2, u1} k E (SMulZeroClass.toSMul.{u2, u1} k E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} k E (CommMonoidWithZero.toZero.{u2} k (CommGroupWithZero.toCommMonoidWithZero.{u2} k (Semifield.toCommGroupWithZero.{u2} k (Field.toSemifield.{u2} k _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} k E (Semiring.toMonoidWithZero.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (HSub.hSub.{u2, u2, u2} k k k (instHSub.{u2} k (Ring.toSub.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) x a) (f x)) a b) (f b))
 Case conversion may be inaccurate. Consider using '#align slope_sub_smul slope_sub_smulₓ'. -/
@@ -190,7 +190,7 @@ theorem slope_comm (f : k → PE) (a b : k) : slope f a b = slope f b a := by
 
 /- warning: sub_div_sub_smul_slope_add_sub_div_sub_smul_slope -> sub_div_sub_smul_slope_add_sub_div_sub_smul_slope is a dubious translation:
 lean 3 declaration is
-  forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k) (c : k), Eq.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) (SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (DivInvMonoid.toHasDiv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) c a)) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)) (SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (DivInvMonoid.toHasDiv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) c b) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) c a)) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f b c))) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a c)
+  forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k) (c : k), Eq.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) (SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (DivInvMonoid.toHasDiv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) c a)) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)) (SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (DivInvMonoid.toHasDiv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) c b) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) c a)) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f b c))) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a c)
 but is expected to have type
   forall {k : Type.{u2}} {E : Type.{u3}} {PE : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : AddTorsor.{u3, u1} E PE (AddCommGroup.toAddGroup.{u3} E _inst_2)] (f : k -> PE) (a : k) (b : k) (c : k), Eq.{succ u3} E (HAdd.hAdd.{u3, u3, u3} E E E (instHAdd.{u3} E (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)))))) (HSMul.hSMul.{u2, u3, u3} k E E (instHSMul.{u2, u3} k E (SMulZeroClass.toSMul.{u2, u3} k E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u3} k E (CommMonoidWithZero.toZero.{u2} k (CommGroupWithZero.toCommMonoidWithZero.{u2} k (Semifield.toCommGroupWithZero.{u2} k (Field.toSemifield.{u2} k _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} k E (Semiring.toMonoidWithZero.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (HDiv.hDiv.{u2, u2, u2} k k k (instHDiv.{u2} k (Field.toDiv.{u2} k _inst_1)) (HSub.hSub.{u2, u2, u2} k k k (instHSub.{u2} k (Ring.toSub.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) b a) (HSub.hSub.{u2, u2, u2} k k k (instHSub.{u2} k (Ring.toSub.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) c a)) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)) (HSMul.hSMul.{u2, u3, u3} k E E (instHSMul.{u2, u3} k E (SMulZeroClass.toSMul.{u2, u3} k E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u3} k E (CommMonoidWithZero.toZero.{u2} k (CommGroupWithZero.toCommMonoidWithZero.{u2} k (Semifield.toCommGroupWithZero.{u2} k (Field.toSemifield.{u2} k _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} k E (Semiring.toMonoidWithZero.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (HDiv.hDiv.{u2, u2, u2} k k k (instHDiv.{u2} k (Field.toDiv.{u2} k _inst_1)) (HSub.hSub.{u2, u2, u2} k k k (instHSub.{u2} k (Ring.toSub.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) c b) (HSub.hSub.{u2, u2, u2} k k k (instHSub.{u2} k (Ring.toSub.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) c a)) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f b c))) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a c)
 Case conversion may be inaccurate. Consider using '#align sub_div_sub_smul_slope_add_sub_div_sub_smul_slope sub_div_sub_smul_slope_add_sub_div_sub_smul_slopeₓ'. -/
@@ -217,7 +217,7 @@ theorem sub_div_sub_smul_slope_add_sub_div_sub_smul_slope (f : k → PE) (a b c
 
 /- warning: line_map_slope_slope_sub_div_sub -> lineMap_slope_slope_sub_div_sub is a dubious translation:
 lean 3 declaration is
-  forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k) (c : k), (Ne.{succ u1} k a c) -> (Eq.{succ u2} E (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => k -> E) (AffineMap.hasCoeToFun.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (AffineMap.lineMap.{u1, u2, u2} k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f b c)) (HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (DivInvMonoid.toHasDiv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) c b) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) c a))) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a c))
+  forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k) (c : k), (Ne.{succ u1} k a c) -> (Eq.{succ u2} E (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => k -> E) (AffineMap.hasCoeToFun.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (AffineMap.lineMap.{u1, u2, u2} k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f b c)) (HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (DivInvMonoid.toHasDiv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) c b) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) c a))) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a c))
 but is expected to have type
   forall {k : Type.{u3}} {E : Type.{u2}} {PE : Type.{u1}} [_inst_1 : Field.{u3} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} k E (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u1} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k) (c : k), (Ne.{succ u3} k a c) -> (Eq.{succ u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => E) (HDiv.hDiv.{u3, u3, u3} k k k (instHDiv.{u3} k (Field.toDiv.{u3} k _inst_1)) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c b) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c a))) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (AffineMap.{u3, u3, u3, u2, u2} k k k E E (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) (Ring.toAddCommGroup.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (addGroupIsAddTorsor.{u3} k (AddGroupWithOne.toAddGroup.{u3} k (Ring.toAddGroupWithOne.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => E) _x) (AffineMap.funLike.{u3, u3, u3, u2, u2} k k k E E (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) (Ring.toAddCommGroup.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (addGroupIsAddTorsor.{u3} k (AddGroupWithOne.toAddGroup.{u3} k (Ring.toAddGroupWithOne.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (AffineMap.lineMap.{u3, u2, u2} k E E (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f b c)) (HDiv.hDiv.{u3, u3, u3} k k k (instHDiv.{u3} k (Field.toDiv.{u3} k _inst_1)) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c b) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c a))) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a c))
 Case conversion may be inaccurate. Consider using '#align line_map_slope_slope_sub_div_sub lineMap_slope_slope_sub_div_subₓ'. -/
@@ -231,7 +231,7 @@ theorem lineMap_slope_slope_sub_div_sub (f : k → PE) (a b c : k) (h : a ≠ c)
 
 /- warning: line_map_slope_line_map_slope_line_map -> lineMap_slope_lineMap_slope_lineMap is a dubious translation:
 lean 3 declaration is
-  forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k) (r : k), Eq.{succ u2} E (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => k -> E) (AffineMap.hasCoeToFun.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (AffineMap.lineMap.{u1, u2, u2} k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f (coeFn.{succ u1, succ u1} (AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (fun (_x : AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) => k -> k) (AffineMap.hasCoeToFun.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AffineMap.lineMap.{u1, u1, u1} k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) a b) r) b) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a (coeFn.{succ u1, succ u1} (AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (fun (_x : AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) => k -> k) (AffineMap.hasCoeToFun.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AffineMap.lineMap.{u1, u1, u1} k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) a b) r))) r) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)
+  forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k) (r : k), Eq.{succ u2} E (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => k -> E) (AffineMap.hasCoeToFun.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (AffineMap.lineMap.{u1, u2, u2} k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f (coeFn.{succ u1, succ u1} (AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (fun (_x : AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) => k -> k) (AffineMap.hasCoeToFun.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AffineMap.lineMap.{u1, u1, u1} k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) a b) r) b) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a (coeFn.{succ u1, succ u1} (AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (fun (_x : AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) => k -> k) (AffineMap.hasCoeToFun.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AffineMap.lineMap.{u1, u1, u1} k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (AddCommGroupWithOne.toAddGroupWithOne.{u1} k (Ring.toAddCommGroupWithOne.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) a b) r))) r) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)
 but is expected to have type
   forall {k : Type.{u2}} {E : Type.{u3}} {PE : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : AddTorsor.{u3, u1} E PE (AddCommGroup.toAddGroup.{u3} E _inst_2)] (f : k -> PE) (a : k) (b : k) (r : k), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => E) r) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u3, u3} k k k E E (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => E) _x) (AffineMap.funLike.{u2, u2, u2, u3, u3} k k k E E (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (AffineMap.lineMap.{u2, u3, u3} k E E (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f (FunLike.coe.{succ u2, succ u2, succ u2} (AffineMap.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => k) _x) (AffineMap.funLike.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) (AffineMap.lineMap.{u2, u2, u2} k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) a b) r) b) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a (FunLike.coe.{succ u2, succ u2, succ u2} (AffineMap.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => k) _x) (AffineMap.funLike.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) (AffineMap.lineMap.{u2, u2, u2} k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) a b) r))) r) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)
 Case conversion may be inaccurate. Consider using '#align line_map_slope_line_map_slope_line_map lineMap_slope_lineMap_slope_lineMapₓ'. -/

69c6a5a1

bump to nightly-2023-03-17-16

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

624c906c

Diff

@@ -160,7 +160,7 @@ theorem eq_of_slope_eq_zero {f : k → PE} {a b : k} (h : slope f a b = (0 : E))
 lean 3 declaration is
   forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] {F : Type.{u4}} {PF : Type.{u5}} [_inst_5 : AddCommGroup.{u4} F] [_inst_6 : Module.{u1, u4} k F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5)] [_inst_7 : AddTorsor.{u4, u5} F PF (AddCommGroup.toAddGroup.{u4} F _inst_5)] (f : AffineMap.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (g : k -> PE) (a : k) (b : k), Eq.{succ u4} F (slope.{u1, u4, u5} k F PF _inst_1 _inst_5 _inst_6 _inst_7 (Function.comp.{succ u1, succ u3, succ u5} k PE PF (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u3) (succ u5)} (AffineMap.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineMap.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => PE -> PF) (AffineMap.hasCoeToFun.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) f) g) a b) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearMap.{u1, u1, u2, u4} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u4} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5) _inst_3 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u4} k k E F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (AffineMap.linear.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 g a b))
 but is expected to have type
-  forall {k : Type.{u3}} {E : Type.{u2}} {PE : Type.{u1}} [_inst_1 : Field.{u3} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} k E (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u1} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] {F : Type.{u5}} {PF : Type.{u4}} [_inst_5 : AddCommGroup.{u5} F] [_inst_6 : Module.{u3, u5} k F (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5)] [_inst_7 : AddTorsor.{u5, u4} F PF (AddCommGroup.toAddGroup.{u5} F _inst_5)] (f : AffineMap.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (g : k -> PE) (a : k) (b : k), Eq.{succ u5} F (slope.{u3, u5, u4} k F PF _inst_1 _inst_5 _inst_6 _inst_7 (Function.comp.{succ u3, succ u1, succ u4} k PE PF (AffineMap.toFun.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) g) a b) (FunLike.coe.{max (succ u2) (succ u5), succ u2, succ u5} (LinearMap.{u3, u3, u2, u5} k k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u5} k k E F (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))))) (AffineMap.linear.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 g a b))
+  forall {k : Type.{u3}} {E : Type.{u2}} {PE : Type.{u1}} [_inst_1 : Field.{u3} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} k E (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u1} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] {F : Type.{u5}} {PF : Type.{u4}} [_inst_5 : AddCommGroup.{u5} F] [_inst_6 : Module.{u3, u5} k F (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5)] [_inst_7 : AddTorsor.{u5, u4} F PF (AddCommGroup.toAddGroup.{u5} F _inst_5)] (f : AffineMap.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (g : k -> PE) (a : k) (b : k), Eq.{succ u5} F (slope.{u3, u5, u4} k F PF _inst_1 _inst_5 _inst_6 _inst_7 (Function.comp.{succ u3, succ u1, succ u4} k PE PF (FunLike.coe.{max (max (max (succ u2) (succ u1)) (succ u5)) (succ u4), succ u1, succ u4} (AffineMap.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) PE (fun (_x : PE) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : PE) => PF) _x) (AffineMap.funLike.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) f) g) a b) (FunLike.coe.{max (succ u2) (succ u5), succ u2, succ u5} (LinearMap.{u3, u3, u2, u5} k k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u5} k k E F (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))))) (AffineMap.linear.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 g a b))
 Case conversion may be inaccurate. Consider using '#align affine_map.slope_comp AffineMap.slope_compₓ'. -/
 theorem AffineMap.slope_comp {F PF : Type _} [AddCommGroup F] [Module k F] [AddTorsor F PF]
     (f : PE →ᵃ[k] PF) (g : k → PE) (a b : k) : slope (f ∘ g) a b = f.linear (slope g a b) := by
@@ -219,7 +219,7 @@ theorem sub_div_sub_smul_slope_add_sub_div_sub_smul_slope (f : k → PE) (a b c
 lean 3 declaration is
   forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k) (c : k), (Ne.{succ u1} k a c) -> (Eq.{succ u2} E (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => k -> E) (AffineMap.hasCoeToFun.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (AffineMap.lineMap.{u1, u2, u2} k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f b c)) (HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (DivInvMonoid.toHasDiv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) c b) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) c a))) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a c))
 but is expected to have type
-  forall {k : Type.{u3}} {E : Type.{u2}} {PE : Type.{u1}} [_inst_1 : Field.{u3} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} k E (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u1} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k) (c : k), (Ne.{succ u3} k a c) -> (Eq.{succ u2} E (AffineMap.toFun.{u3, u3, u3, u2, u2} k k k E E (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) (Ring.toAddCommGroup.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (addGroupIsAddTorsor.{u3} k (AddGroupWithOne.toAddGroup.{u3} k (Ring.toAddGroupWithOne.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (AffineMap.lineMap.{u3, u2, u2} k E E (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f b c)) (HDiv.hDiv.{u3, u3, u3} k k k (instHDiv.{u3} k (Field.toDiv.{u3} k _inst_1)) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c b) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c a))) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a c))
+  forall {k : Type.{u3}} {E : Type.{u2}} {PE : Type.{u1}} [_inst_1 : Field.{u3} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} k E (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u1} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k) (c : k), (Ne.{succ u3} k a c) -> (Eq.{succ u2} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => E) (HDiv.hDiv.{u3, u3, u3} k k k (instHDiv.{u3} k (Field.toDiv.{u3} k _inst_1)) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c b) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c a))) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (AffineMap.{u3, u3, u3, u2, u2} k k k E E (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) (Ring.toAddCommGroup.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (addGroupIsAddTorsor.{u3} k (AddGroupWithOne.toAddGroup.{u3} k (Ring.toAddGroupWithOne.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => E) _x) (AffineMap.funLike.{u3, u3, u3, u2, u2} k k k E E (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) (Ring.toAddCommGroup.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (addGroupIsAddTorsor.{u3} k (AddGroupWithOne.toAddGroup.{u3} k (Ring.toAddGroupWithOne.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (AffineMap.lineMap.{u3, u2, u2} k E E (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f b c)) (HDiv.hDiv.{u3, u3, u3} k k k (instHDiv.{u3} k (Field.toDiv.{u3} k _inst_1)) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c b) (HSub.hSub.{u3, u3, u3} k k k (instHSub.{u3} k (Ring.toSub.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))) c a))) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a c))
 Case conversion may be inaccurate. Consider using '#align line_map_slope_slope_sub_div_sub lineMap_slope_slope_sub_div_subₓ'. -/
 /-- `slope f a c` is an affine combination of `slope f a b` and `slope f b c`. This version uses
 `line_map` to express this property. -/
@@ -233,7 +233,7 @@ theorem lineMap_slope_slope_sub_div_sub (f : k → PE) (a b c : k) (h : a ≠ c)
 lean 3 declaration is
   forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k) (r : k), Eq.{succ u2} E (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => k -> E) (AffineMap.hasCoeToFun.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (AffineMap.lineMap.{u1, u2, u2} k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f (coeFn.{succ u1, succ u1} (AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (fun (_x : AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) => k -> k) (AffineMap.hasCoeToFun.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AffineMap.lineMap.{u1, u1, u1} k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) a b) r) b) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a (coeFn.{succ u1, succ u1} (AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (fun (_x : AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) => k -> k) (AffineMap.hasCoeToFun.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AffineMap.lineMap.{u1, u1, u1} k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) a b) r))) r) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)
 but is expected to have type
-  forall {k : Type.{u2}} {E : Type.{u3}} {PE : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : AddTorsor.{u3, u1} E PE (AddCommGroup.toAddGroup.{u3} E _inst_2)] (f : k -> PE) (a : k) (b : k) (r : k), Eq.{succ u3} E (AffineMap.toFun.{u2, u2, u2, u3, u3} k k k E E (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)) (AffineMap.lineMap.{u2, u3, u3} k E E (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f (AffineMap.toFun.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (AffineMap.lineMap.{u2, u2, u2} k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) a b) r) b) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a (AffineMap.toFun.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (AffineMap.lineMap.{u2, u2, u2} k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) a b) r))) r) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)
+  forall {k : Type.{u2}} {E : Type.{u3}} {PE : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : AddTorsor.{u3, u1} E PE (AddCommGroup.toAddGroup.{u3} E _inst_2)] (f : k -> PE) (a : k) (b : k) (r : k), Eq.{succ u3} ((fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => E) r) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (AffineMap.{u2, u2, u2, u3, u3} k k k E E (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => E) _x) (AffineMap.funLike.{u2, u2, u2, u3, u3} k k k E E (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2))) (AffineMap.lineMap.{u2, u3, u3} k E E (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f (FunLike.coe.{succ u2, succ u2, succ u2} (AffineMap.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => k) _x) (AffineMap.funLike.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) (AffineMap.lineMap.{u2, u2, u2} k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) a b) r) b) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a (FunLike.coe.{succ u2, succ u2, succ u2} (AffineMap.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) k (fun (_x : k) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1004 : k) => k) _x) (AffineMap.funLike.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))))) (AffineMap.lineMap.{u2, u2, u2} k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) a b) r))) r) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)
 Case conversion may be inaccurate. Consider using '#align line_map_slope_line_map_slope_line_map lineMap_slope_lineMap_slope_lineMapₓ'. -/
 /-- `slope f a b` is an affine combination of `slope f a (line_map a b r)` and
 `slope f (line_map a b r) b`. We use `line_map` to express this property. -/

69c6a5a1

bump to nightly-2023-03-14-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/2196ab363eb097c008d4497125e0dde23fb36db2

d4b38a42

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
 
 ! This file was ported from Lean 3 source module linear_algebra.affine_space.slope
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
+! leanprover-community/mathlib commit 69c6a5a12d8a2b159f20933e60115a4f2de62b58
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Tactic.FieldSimp
 /-!
 # Slope of a function
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we define the slope of a function `f : k → PE` taking values in an affine space over
 `k` and prove some basic theorems about `slope`. The `slope` function naturally appears in the Mean
 Value Theorem, and in the proof of the fact that a function with nonnegative second derivative on an

70fd9563

bump to nightly-2023-03-11-22

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

a8ee822f

Diff

@@ -157,7 +157,7 @@ theorem eq_of_slope_eq_zero {f : k → PE} {a b : k} (h : slope f a b = (0 : E))
 lean 3 declaration is
   forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] {F : Type.{u4}} {PF : Type.{u5}} [_inst_5 : AddCommGroup.{u4} F] [_inst_6 : Module.{u1, u4} k F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5)] [_inst_7 : AddTorsor.{u4, u5} F PF (AddCommGroup.toAddGroup.{u4} F _inst_5)] (f : AffineMap.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (g : k -> PE) (a : k) (b : k), Eq.{succ u4} F (slope.{u1, u4, u5} k F PF _inst_1 _inst_5 _inst_6 _inst_7 (Function.comp.{succ u1, succ u3, succ u5} k PE PF (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u3) (succ u5)} (AffineMap.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (fun (_x : AffineMap.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) => PE -> PF) (AffineMap.hasCoeToFun.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) f) g) a b) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearMap.{u1, u1, u2, u4} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u4} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5) _inst_3 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u4} k k E F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (AffineMap.linear.{u1, u2, u3, u4, u5} k E PE F PF (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 g a b))
 but is expected to have type
-  forall {k : Type.{u3}} {E : Type.{u2}} {PE : Type.{u1}} [_inst_1 : Field.{u3} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} k E (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u1} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] {F : Type.{u5}} {PF : Type.{u4}} [_inst_5 : AddCommGroup.{u5} F] [_inst_6 : Module.{u3, u5} k F (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5)] [_inst_7 : AddTorsor.{u5, u4} F PF (AddCommGroup.toAddGroup.{u5} F _inst_5)] (f : AffineMap.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (g : k -> PE) (a : k) (b : k), Eq.{succ u5} F (slope.{u3, u5, u4} k F PF _inst_1 _inst_5 _inst_6 _inst_7 (Function.comp.{succ u3, succ u1, succ u4} k PE PF (AffineMap.toFun.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) g) a b) (FunLike.coe.{max (succ u2) (succ u5), succ u2, succ u5} (LinearMap.{u3, u3, u2, u5} k k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u5} k k E F (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))))) (AffineMap.linear.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 g a b))
+  forall {k : Type.{u3}} {E : Type.{u2}} {PE : Type.{u1}} [_inst_1 : Field.{u3} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} k E (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u1} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] {F : Type.{u5}} {PF : Type.{u4}} [_inst_5 : AddCommGroup.{u5} F] [_inst_6 : Module.{u3, u5} k F (DivisionSemiring.toSemiring.{u3} k (Semifield.toDivisionSemiring.{u3} k (Field.toSemifield.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5)] [_inst_7 : AddTorsor.{u5, u4} F PF (AddCommGroup.toAddGroup.{u5} F _inst_5)] (f : AffineMap.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7) (g : k -> PE) (a : k) (b : k), Eq.{succ u5} F (slope.{u3, u5, u4} k F PF _inst_1 _inst_5 _inst_6 _inst_7 (Function.comp.{succ u3, succ u1, succ u4} k PE PF (AffineMap.toFun.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) g) a b) (FunLike.coe.{max (succ u2) (succ u5), succ u2, succ u5} (LinearMap.{u3, u3, u2, u5} k k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u2, u5} k k E F (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u5} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u3} k (Semiring.toNonAssocSemiring.{u3} k (Ring.toSemiring.{u3} k (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)))))) (AffineMap.linear.{u3, u2, u1, u5, u4} k E PE F PF (DivisionRing.toRing.{u3} k (Field.toDivisionRing.{u3} k _inst_1)) _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 f) (slope.{u3, u2, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 g a b))
 Case conversion may be inaccurate. Consider using '#align affine_map.slope_comp AffineMap.slope_compₓ'. -/
 theorem AffineMap.slope_comp {F PF : Type _} [AddCommGroup F] [Module k F] [AddTorsor F PF]
     (f : PE →ᵃ[k] PF) (g : k → PE) (a b : k) : slope (f ∘ g) a b = f.linear (slope g a b) := by
@@ -168,7 +168,7 @@ theorem AffineMap.slope_comp {F PF : Type _} [AddCommGroup F] [Module k F] [AddT
 lean 3 declaration is
   forall {k : Type.{u1}} {E : Type.{u2}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {F : Type.{u3}} [_inst_5 : AddCommGroup.{u3} F] [_inst_6 : Module.{u1, u3} k F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)] (f : LinearMap.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) (g : k -> E) (a : k) (b : k), Eq.{succ u3} F (slope.{u1, u3, u3} k F F _inst_1 _inst_5 _inst_6 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5)) (Function.comp.{succ u1, succ u2, succ u3} k E F (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} k k E F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) f) g) a b) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u1, u2, u3} k k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} k k E F (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u1} k (Semiring.toNonAssocSemiring.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) f (slope.{u1, u2, u2} k E E _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) g a b))
 but is expected to have type
-  forall {k : Type.{u2}} {E : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u3}} [_inst_5 : AddCommGroup.{u3} F] [_inst_6 : Module.{u2, u3} k F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)] (f : LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) (g : k -> E) (a : k) (b : k), Eq.{succ u3} F (slope.{u2, u3, u3} k F F _inst_1 _inst_5 _inst_6 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5)) (Function.comp.{succ u2, succ u1, succ u3} k E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} k k E F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))))) f) g) a b) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} k k E F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))))) f (slope.{u2, u1, u1} k E E _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) g a b))
+  forall {k : Type.{u2}} {E : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {F : Type.{u3}} [_inst_5 : AddCommGroup.{u3} F] [_inst_6 : Module.{u2, u3} k F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5)] (f : LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) (g : k -> E) (a : k) (b : k), Eq.{succ u3} F (slope.{u2, u3, u3} k F F _inst_1 _inst_5 _inst_6 (addGroupIsAddTorsor.{u3} F (AddCommGroup.toAddGroup.{u3} F _inst_5)) (Function.comp.{succ u2, succ u1, succ u3} k E F (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} k k E F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))))) f) g) a b) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u2, u1, u3} k k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))))) E F (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u3} k k E F (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} F _inst_5) _inst_3 _inst_6 (RingHom.id.{u2} k (Semiring.toNonAssocSemiring.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))))) f (slope.{u2, u1, u1} k E E _inst_1 _inst_2 _inst_3 (addGroupIsAddTorsor.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)) g a b))
 Case conversion may be inaccurate. Consider using '#align linear_map.slope_comp LinearMap.slope_compₓ'. -/
 theorem LinearMap.slope_comp {F : Type _} [AddCommGroup F] [Module k F] (f : E →ₗ[k] F) (g : k → E)
     (a b : k) : slope (f ∘ g) a b = f (slope g a b) :=

70fd9563

bump to nightly-2023-03-08-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/38f16f960f5006c6c0c2bac7b0aba5273188f4e5

fb83156a

Diff

@@ -31,26 +31,52 @@ variable {k E PE : Type _} [Field k] [AddCommGroup E] [Module k E] [AddTorsor E
 
 include E
 
+#print slope /-
 /-- `slope f a b = (b - a)⁻¹ • (f b -ᵥ f a)` is the slope of a function `f` on the interval
 `[a, b]`. Note that `slope f a a = 0`, not the derivative of `f` at `a`. -/
 def slope (f : k → PE) (a b : k) : E :=
   (b - a)⁻¹ • (f b -ᵥ f a)
 #align slope slope
+-/
 
+/- warning: slope_fun_def -> slope_fun_def is a dubious translation:
+lean 3 declaration is
+  forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE), Eq.{max (succ u1) (succ u2)} (k -> k -> E) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f) (fun (a : k) (b : k) => SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Inv.inv.{u1} k (DivInvMonoid.toHasInv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a)) (VSub.vsub.{u2, u3} E PE (AddTorsor.toHasVsub.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_4) (f b) (f a)))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align slope_fun_def slope_fun_defₓ'. -/
 theorem slope_fun_def (f : k → PE) : slope f = fun a b => (b - a)⁻¹ • (f b -ᵥ f a) :=
   rfl
 #align slope_fun_def slope_fun_def
 
 omit E
 
+/- warning: slope_def_field -> slope_def_field is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align slope_def_field slope_def_fieldₓ'. -/
 theorem slope_def_field (f : k → k) (a b : k) : slope f a b = (f b - f a) / (b - a) :=
   (div_eq_inv_mul _ _).symm
 #align slope_def_field slope_def_field
 
+/- warning: slope_fun_def_field -> slope_fun_def_field is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align slope_fun_def_field slope_fun_def_fieldₓ'. -/
 theorem slope_fun_def_field (f : k → k) (a : k) : slope f a = fun b => (f b - f a) / (b - a) :=
   (div_eq_inv_mul _ _).symm
 #align slope_fun_def_field slope_fun_def_field
 
+/- warning: slope_same -> slope_same is a dubious translation:
+lean 3 declaration is
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+  forall {k : Type.{u2}} {E : Type.{u3}} {PE : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : AddTorsor.{u3, u1} E PE (AddCommGroup.toAddGroup.{u3} E _inst_2)] (f : k -> PE) (a : k), Eq.{succ u3} E (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a a) (OfNat.ofNat.{u3} E 0 (Zero.toOfNat0.{u3} E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2)))))))
+Case conversion may be inaccurate. Consider using '#align slope_same slope_sameₓ'. -/
 @[simp]
 theorem slope_same (f : k → PE) (a : k) : (slope f a a : E) = 0 := by
   rw [slope, sub_self, inv_zero, zero_smul]
@@ -58,10 +84,22 @@ theorem slope_same (f : k → PE) (a : k) : (slope f a a : E) = 0 := by
 
 include E
 
+/- warning: slope_def_module -> slope_def_module is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align slope_def_module slope_def_moduleₓ'. -/
 theorem slope_def_module (f : k → E) (a b : k) : slope f a b = (b - a)⁻¹ • (f b - f a) :=
   rfl
 #align slope_def_module slope_def_module
 
+/- warning: sub_smul_slope -> sub_smul_slope is a dubious translation:
+lean 3 declaration is
+  forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k), Eq.{succ u2} E (SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)) (VSub.vsub.{u2, u3} E PE (AddTorsor.toHasVsub.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_4) (f b) (f a))
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+Case conversion may be inaccurate. Consider using '#align sub_smul_slope sub_smul_slopeₓ'. -/
 @[simp]
 theorem sub_smul_slope (f : k → PE) (a b : k) : (b - a) • slope f a b = f b -ᵥ f a :=
   by
@@ -70,10 +108,22 @@ theorem sub_smul_slope (f : k → PE) (a b : k) : (b - a) • slope f a b = f b
   · rw [slope, smul_inv_smul₀ (sub_ne_zero.2 hne.symm)]
 #align sub_smul_slope sub_smul_slope
 
+/- warning: sub_smul_slope_vadd -> sub_smul_slope_vadd is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align sub_smul_slope_vadd sub_smul_slope_vaddₓ'. -/
 theorem sub_smul_slope_vadd (f : k → PE) (a b : k) : (b - a) • slope f a b +ᵥ f a = f b := by
   rw [sub_smul_slope, vsub_vadd]
 #align sub_smul_slope_vadd sub_smul_slope_vadd
 
+/- warning: slope_vadd_const -> slope_vadd_const is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align slope_vadd_const slope_vadd_constₓ'. -/
 @[simp]
 theorem slope_vadd_const (f : k → E) (c : PE) : (slope fun x => f x +ᵥ c) = slope f :=
   by
@@ -81,30 +131,66 @@ theorem slope_vadd_const (f : k → E) (c : PE) : (slope fun x => f x +ᵥ c) =
   simp only [slope, vadd_vsub_vadd_cancel_right, vsub_eq_sub]
 #align slope_vadd_const slope_vadd_const
 
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+Case conversion may be inaccurate. Consider using '#align slope_sub_smul slope_sub_smulₓ'. -/
 @[simp]
 theorem slope_sub_smul (f : k → E) {a b : k} (h : a ≠ b) :
     slope (fun x => (x - a) • f x) a b = f b := by
   simp [slope, inv_smul_smul₀ (sub_ne_zero.2 h.symm)]
 #align slope_sub_smul slope_sub_smul
 
+/- warning: eq_of_slope_eq_zero -> eq_of_slope_eq_zero is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align eq_of_slope_eq_zero eq_of_slope_eq_zeroₓ'. -/
 theorem eq_of_slope_eq_zero {f : k → PE} {a b : k} (h : slope f a b = (0 : E)) : f a = f b := by
   rw [← sub_smul_slope_vadd f a b, h, smul_zero, zero_vadd]
 #align eq_of_slope_eq_zero eq_of_slope_eq_zero
 
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 theorem AffineMap.slope_comp {F PF : Type _} [AddCommGroup F] [Module k F] [AddTorsor F PF]
     (f : PE →ᵃ[k] PF) (g : k → PE) (a b : k) : slope (f ∘ g) a b = f.linear (slope g a b) := by
   simp only [slope, (· ∘ ·), f.linear.map_smul, f.linear_map_vsub]
 #align affine_map.slope_comp AffineMap.slope_comp
 
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+Case conversion may be inaccurate. Consider using '#align linear_map.slope_comp LinearMap.slope_compₓ'. -/
 theorem LinearMap.slope_comp {F : Type _} [AddCommGroup F] [Module k F] (f : E →ₗ[k] F) (g : k → E)
     (a b : k) : slope (f ∘ g) a b = f (slope g a b) :=
   f.toAffineMap.slope_comp g a b
 #align linear_map.slope_comp LinearMap.slope_comp
 
+/- warning: slope_comm -> slope_comm is a dubious translation:
+lean 3 declaration is
+  forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k), Eq.{succ u2} E (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f b a)
+but is expected to have type
+  forall {k : Type.{u2}} {E : Type.{u3}} {PE : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : AddTorsor.{u3, u1} E PE (AddCommGroup.toAddGroup.{u3} E _inst_2)] (f : k -> PE) (a : k) (b : k), Eq.{succ u3} E (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f b a)
+Case conversion may be inaccurate. Consider using '#align slope_comm slope_commₓ'. -/
 theorem slope_comm (f : k → PE) (a b : k) : slope f a b = slope f b a := by
   rw [slope, slope, ← neg_vsub_eq_vsub_rev, smul_neg, ← neg_smul, neg_inv, neg_sub]
 #align slope_comm slope_comm
 
+/- warning: sub_div_sub_smul_slope_add_sub_div_sub_smul_slope -> sub_div_sub_smul_slope_add_sub_div_sub_smul_slope is a dubious translation:
+lean 3 declaration is
+  forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k) (c : k), Eq.{succ u2} E (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) (SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (DivInvMonoid.toHasDiv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) b a) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) c a)) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)) (SMul.smul.{u1, u2} k E (SMulZeroClass.toHasSmul.{u1, u2} k E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} k E (MulZeroClass.toHasZero.{u1} k (MulZeroOneClass.toMulZeroClass.{u1} k (MonoidWithZero.toMulZeroOneClass.{u1} k (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} k E (Semiring.toMonoidWithZero.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (HDiv.hDiv.{u1, u1, u1} k k k (instHDiv.{u1} k (DivInvMonoid.toHasDiv.{u1} k (DivisionRing.toDivInvMonoid.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) c b) (HSub.hSub.{u1, u1, u1} k k k (instHSub.{u1} k (SubNegMonoid.toHasSub.{u1} k (AddGroup.toSubNegMonoid.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))))) c a)) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f b c))) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a c)
+but is expected to have type
+  forall {k : Type.{u2}} {E : Type.{u3}} {PE : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : AddTorsor.{u3, u1} E PE (AddCommGroup.toAddGroup.{u3} E _inst_2)] (f : k -> PE) (a : k) (b : k) (c : k), Eq.{succ u3} E (HAdd.hAdd.{u3, u3, u3} E E E (instHAdd.{u3} E (AddZeroClass.toAdd.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)))))) (HSMul.hSMul.{u2, u3, u3} k E E (instHSMul.{u2, u3} k E (SMulZeroClass.toSMul.{u2, u3} k E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u3} k E (CommMonoidWithZero.toZero.{u2} k (CommGroupWithZero.toCommMonoidWithZero.{u2} k (Semifield.toCommGroupWithZero.{u2} k (Field.toSemifield.{u2} k _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} k E (Semiring.toMonoidWithZero.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (HDiv.hDiv.{u2, u2, u2} k k k (instHDiv.{u2} k (Field.toDiv.{u2} k _inst_1)) (HSub.hSub.{u2, u2, u2} k k k (instHSub.{u2} k (Ring.toSub.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) b a) (HSub.hSub.{u2, u2, u2} k k k (instHSub.{u2} k (Ring.toSub.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) c a)) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)) (HSMul.hSMul.{u2, u3, u3} k E E (instHSMul.{u2, u3} k E (SMulZeroClass.toSMul.{u2, u3} k E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u3} k E (CommMonoidWithZero.toZero.{u2} k (CommGroupWithZero.toCommMonoidWithZero.{u2} k (Semifield.toCommGroupWithZero.{u2} k (Field.toSemifield.{u2} k _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u3} k E (Semiring.toMonoidWithZero.{u2} k (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_2))))) (Module.toMulActionWithZero.{u2, u3} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (HDiv.hDiv.{u2, u2, u2} k k k (instHDiv.{u2} k (Field.toDiv.{u2} k _inst_1)) (HSub.hSub.{u2, u2, u2} k k k (instHSub.{u2} k (Ring.toSub.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) c b) (HSub.hSub.{u2, u2, u2} k k k (instHSub.{u2} k (Ring.toSub.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)))) c a)) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f b c))) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a c)
+Case conversion may be inaccurate. Consider using '#align sub_div_sub_smul_slope_add_sub_div_sub_smul_slope sub_div_sub_smul_slope_add_sub_div_sub_smul_slopeₓ'. -/
 /-- `slope f a c` is a linear combination of `slope f a b` and `slope f b c`. This version
 explicitly provides coefficients. If `a ≠ c`, then the sum of the coefficients is `1`, so it is
 actually an affine combination, see `line_map_slope_slope_sub_div_sub`. -/
@@ -126,6 +212,12 @@ theorem sub_div_sub_smul_slope_add_sub_div_sub_smul_slope (f : k → PE) (a b c
     vsub_add_vsub_cancel]
 #align sub_div_sub_smul_slope_add_sub_div_sub_smul_slope sub_div_sub_smul_slope_add_sub_div_sub_smul_slope
 
+/- warning: line_map_slope_slope_sub_div_sub -> lineMap_slope_slope_sub_div_sub is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align line_map_slope_slope_sub_div_sub lineMap_slope_slope_sub_div_subₓ'. -/
 /-- `slope f a c` is an affine combination of `slope f a b` and `slope f b c`. This version uses
 `line_map` to express this property. -/
 theorem lineMap_slope_slope_sub_div_sub (f : k → PE) (a b c : k) (h : a ≠ c) :
@@ -134,6 +226,12 @@ theorem lineMap_slope_slope_sub_div_sub (f : k → PE) (a b c : k) (h : a ≠ c)
     line_map_apply_module]
 #align line_map_slope_slope_sub_div_sub lineMap_slope_slope_sub_div_sub
 
+/- warning: line_map_slope_line_map_slope_line_map -> lineMap_slope_lineMap_slope_lineMap is a dubious translation:
+lean 3 declaration is
+  forall {k : Type.{u1}} {E : Type.{u2}} {PE : Type.{u3}} [_inst_1 : Field.{u1} k] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} k E (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_4 : AddTorsor.{u2, u3} E PE (AddCommGroup.toAddGroup.{u2} E _inst_2)] (f : k -> PE) (a : k) (b : k) (r : k), Eq.{succ u2} E (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (fun (_x : AffineMap.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) => k -> E) (AffineMap.hasCoeToFun.{u1, u1, u1, u2, u2} k k k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) (AffineMap.lineMap.{u1, u2, u2} k E E (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f (coeFn.{succ u1, succ u1} (AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k 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(DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (fun (_x : AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) => k -> k) (AffineMap.hasCoeToFun.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AffineMap.lineMap.{u1, u1, u1} k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) a b) r) b) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a (coeFn.{succ u1, succ u1} (AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (fun (_x : AffineMap.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) => k -> k) (AffineMap.hasCoeToFun.{u1, u1, u1, u1, u1} k k k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))))) (AffineMap.lineMap.{u1, u1, u1} k k k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)) (NonUnitalNonAssocRing.toAddCommGroup.{u1} k (NonAssocRing.toNonUnitalNonAssocRing.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1))))) (Semiring.toModule.{u1} k (Ring.toSemiring.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))) (addGroupIsAddTorsor.{u1} k (AddGroupWithOne.toAddGroup.{u1} k (NonAssocRing.toAddGroupWithOne.{u1} k (Ring.toNonAssocRing.{u1} k (DivisionRing.toRing.{u1} k (Field.toDivisionRing.{u1} k _inst_1)))))) a b) r))) r) (slope.{u1, u2, u3} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)
+but is expected to have type
+  forall {k : Type.{u2}} {E : Type.{u3}} {PE : Type.{u1}} [_inst_1 : Field.{u2} k] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} k E (DivisionSemiring.toSemiring.{u2} k (Semifield.toDivisionSemiring.{u2} k (Field.toSemifield.{u2} k _inst_1))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : AddTorsor.{u3, u1} E PE (AddCommGroup.toAddGroup.{u3} E _inst_2)] (f : k -> PE) (a : k) (b : k) (r : k), Eq.{succ u3} E (AffineMap.toFun.{u2, u2, u2, u3, u3} k k k E E (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)) (AffineMap.lineMap.{u2, u3, u3} k E E (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) _inst_2 _inst_3 (addGroupIsAddTorsor.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_2)) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f (AffineMap.toFun.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (AffineMap.lineMap.{u2, u2, u2} k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) a b) r) b) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a (AffineMap.toFun.{u2, u2, u2, u2, u2} k k k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) (AffineMap.lineMap.{u2, u2, u2} k k k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1)) (Ring.toAddCommGroup.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (AffineMap.instModuleToSemiringToAddCommMonoidToNonUnitalNonAssocSemiringToNonUnitalNonAssocRingToNonUnitalRing.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))) (addGroupIsAddTorsor.{u2} k (AddGroupWithOne.toAddGroup.{u2} k (Ring.toAddGroupWithOne.{u2} k (DivisionRing.toRing.{u2} k (Field.toDivisionRing.{u2} k _inst_1))))) a b) r))) r) (slope.{u2, u3, u1} k E PE _inst_1 _inst_2 _inst_3 _inst_4 f a b)
+Case conversion may be inaccurate. Consider using '#align line_map_slope_line_map_slope_line_map lineMap_slope_lineMap_slope_lineMapₓ'. -/
 /-- `slope f a b` is an affine combination of `slope f a (line_map a b r)` and
 `slope f (line_map a b r) b`. We use `line_map` to express this property. -/
 theorem lineMap_slope_lineMap_slope_lineMap (f : k → PE) (a b r : k) :

70fd9563

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

70fd9563

feat(Analysis/Convex/Deriv): convex implies monotone deriv (#11602)

The derivative of a convex function is monotone (variations on a theme)

372a08fe

Diff

@@ -93,6 +93,9 @@ theorem slope_comm (f : k → PE) (a b : k) : slope f a b = slope f b a := by
   rw [slope, slope, ← neg_vsub_eq_vsub_rev, smul_neg, ← neg_smul, neg_inv, neg_sub]
 #align slope_comm slope_comm
 
+@[simp] lemma slope_neg (f : k → E) (x y : k) : slope (fun t ↦ -f t) x y = -slope f x y := by
+  simp only [slope_def_module, neg_sub_neg, ← smul_neg, neg_sub]
+
 /-- `slope f a c` is a linear combination of `slope f a b` and `slope f b c`. This version
 explicitly provides coefficients. If `a ≠ c`, then the sum of the coefficients is `1`, so it is
 actually an affine combination, see `lineMap_slope_slope_sub_div_sub`. -/

70fd9563

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

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

This has nice performance benefits.

32de3f67

Diff

@@ -23,7 +23,7 @@ affine space, slope
 
 open AffineMap
 
-variable {k E PE : Type _} [Field k] [AddCommGroup E] [Module k E] [AddTorsor E PE]
+variable {k E PE : Type*} [Field k] [AddCommGroup E] [Module k E] [AddTorsor E PE]
 
 /-- `slope f a b = (b - a)⁻¹ • (f b -ᵥ f a)` is the slope of a function `f` on the interval
 `[a, b]`. Note that `slope f a a = 0`, not the derivative of `f` at `a`. -/
@@ -79,12 +79,12 @@ theorem eq_of_slope_eq_zero {f : k → PE} {a b : k} (h : slope f a b = (0 : E))
   rw [← sub_smul_slope_vadd f a b, h, smul_zero, zero_vadd]
 #align eq_of_slope_eq_zero eq_of_slope_eq_zero
 
-theorem AffineMap.slope_comp {F PF : Type _} [AddCommGroup F] [Module k F] [AddTorsor F PF]
+theorem AffineMap.slope_comp {F PF : Type*} [AddCommGroup F] [Module k F] [AddTorsor F PF]
     (f : PE →ᵃ[k] PF) (g : k → PE) (a b : k) : slope (f ∘ g) a b = f.linear (slope g a b) := by
   simp only [slope, (· ∘ ·), f.linear.map_smul, f.linearMap_vsub]
 #align affine_map.slope_comp AffineMap.slope_comp
 
-theorem LinearMap.slope_comp {F : Type _} [AddCommGroup F] [Module k F] (f : E →ₗ[k] F) (g : k → E)
+theorem LinearMap.slope_comp {F : Type*} [AddCommGroup F] [Module k F] (f : E →ₗ[k] F) (g : k → E)
     (a b : k) : slope (f ∘ g) a b = f (slope g a b) :=
   f.toAffineMap.slope_comp g a b
 #align linear_map.slope_comp LinearMap.slope_comp

70fd9563

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

depends on: #5966

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

89aa3a3b

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury G. Kudryashov
-
-! This file was ported from Lean 3 source module linear_algebra.affine_space.slope
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.LinearAlgebra.AffineSpace.AffineMap
 import Mathlib.Tactic.FieldSimp
 
+#align_import linear_algebra.affine_space.slope from "leanprover-community/mathlib"@"70fd9563a21e7b963887c9360bd29b2393e6225a"
+
 /-!
 # Slope of a function

70fd9563

chore: remove superfluous parentheses in calls to ext (#5258)

Co-authored-by: Xavier Roblot <46200072+xroblot@users.noreply.github.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr> Co-authored-by: Riccardo Brasca <riccardo.brasca@gmail.com> Co-authored-by: Yury G. Kudryashov <urkud@urkud.name> Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: Pol'tta / Miyahara Kō <pol_tta@outlook.jp> Co-authored-by: Jason Yuen <jason_yuen2007@hotmail.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com> Co-authored-by: Jireh Loreaux <loreaujy@gmail.com> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: Heather Macbeth <25316162+hrmacbeth@users.noreply.github.com> Co-authored-by: Jujian Zhang <jujian.zhang1998@outlook.com> Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>

3d6731dc

Diff

@@ -68,7 +68,7 @@ theorem sub_smul_slope_vadd (f : k → PE) (a b : k) : (b - a) • slope f a b +
 
 @[simp]
 theorem slope_vadd_const (f : k → E) (c : PE) : (slope fun x => f x +ᵥ c) = slope f := by
-  ext (a b)
+  ext a b
   simp only [slope, vadd_vsub_vadd_cancel_right, vsub_eq_sub]
 #align slope_vadd_const slope_vadd_const

70fd9563

chore: delete 2074 references (#4030)

1877b122

Diff

@@ -24,9 +24,6 @@ interval is convex on this interval.
 affine space, slope
 -/
 
--- Porting note: Workaround for lean4#2074
-attribute [-instance] Ring.toNonAssocRing
-
 open AffineMap
 
 variable {k E PE : Type _} [Field k] [AddCommGroup E] [Module k E] [AddTorsor E PE]

70fd9563

feat: port LinearAlgebra.AffineSpace.Slope (#2728)

Co-authored-by: Johan Commelin <johan@commelin.net>

d1716a32

`linear_algebra.affine_space.slope` ⟷ `Mathlib.LinearAlgebra.AffineSpace.Slope`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 380

linear_algebra.affine_space.slope ⟷ Mathlib.LinearAlgebra.AffineSpace.Slope

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 380

`linear_algebra.affine_space.slope` ⟷ `Mathlib.LinearAlgebra.AffineSpace.Slope`