data.mv_polynomial.comapMathlib.Data.MvPolynomial.Comap

This file has been ported!

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

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -3,7 +3,7 @@ Copyright (c) 2020 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
 -/
-import Data.MvPolynomial.Rename
+import Algebra.MvPolynomial.Rename
 
 #align_import data.mv_polynomial.comap from "leanprover-community/mathlib"@"932872382355f00112641d305ba0619305dc8642"
 
Diff
@@ -3,7 +3,7 @@ Copyright (c) 2020 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
 -/
-import Mathbin.Data.MvPolynomial.Rename
+import Data.MvPolynomial.Rename
 
 #align_import data.mv_polynomial.comap from "leanprover-community/mathlib"@"932872382355f00112641d305ba0619305dc8642"
 
Diff
@@ -2,14 +2,11 @@
 Copyright (c) 2020 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
-
-! This file was ported from Lean 3 source module data.mv_polynomial.comap
-! leanprover-community/mathlib commit 932872382355f00112641d305ba0619305dc8642
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Data.MvPolynomial.Rename
 
+#align_import data.mv_polynomial.comap from "leanprover-community/mathlib"@"932872382355f00112641d305ba0619305dc8642"
+
 /-!
 # `comap` operation on `mv_polynomial`
 
Diff
@@ -46,25 +46,32 @@ noncomputable def comap (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) : (
 #align mv_polynomial.comap MvPolynomial.comap
 -/
 
+#print MvPolynomial.comap_apply /-
 @[simp]
 theorem comap_apply (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) (x : τ → R) (i : σ) :
     comap f x i = aeval x (f (X i)) :=
   rfl
 #align mv_polynomial.comap_apply MvPolynomial.comap_apply
+-/
 
+#print MvPolynomial.comap_id_apply /-
 @[simp]
 theorem comap_id_apply (x : σ → R) : comap (AlgHom.id R (MvPolynomial σ R)) x = x := by funext i;
   simp only [comap, AlgHom.id_apply, id.def, aeval_X]
 #align mv_polynomial.comap_id_apply MvPolynomial.comap_id_apply
+-/
 
 variable (σ R)
 
+#print MvPolynomial.comap_id /-
 theorem comap_id : comap (AlgHom.id R (MvPolynomial σ R)) = id := by funext x;
   exact comap_id_apply x
 #align mv_polynomial.comap_id MvPolynomial.comap_id
+-/
 
 variable {σ R}
 
+#print MvPolynomial.comap_comp_apply /-
 theorem comap_comp_apply (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R)
     (g : MvPolynomial τ R →ₐ[R] MvPolynomial υ R) (x : υ → R) :
     comap (g.comp f) x = comap f (comap g x) :=
@@ -79,19 +86,26 @@ theorem comap_comp_apply (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R)
     refine' eval₂_hom_congr _ rfl rfl
     ext r; apply aeval_C
 #align mv_polynomial.comap_comp_apply MvPolynomial.comap_comp_apply
+-/
 
+#print MvPolynomial.comap_comp /-
 theorem comap_comp (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R)
     (g : MvPolynomial τ R →ₐ[R] MvPolynomial υ R) : comap (g.comp f) = comap f ∘ comap g := by
   funext x; exact comap_comp_apply _ _ _
 #align mv_polynomial.comap_comp MvPolynomial.comap_comp
+-/
 
+#print MvPolynomial.comap_eq_id_of_eq_id /-
 theorem comap_eq_id_of_eq_id (f : MvPolynomial σ R →ₐ[R] MvPolynomial σ R) (hf : ∀ φ, f φ = φ)
     (x : σ → R) : comap f x = x := by convert comap_id_apply x; ext1 φ; rw [hf, AlgHom.id_apply]
 #align mv_polynomial.comap_eq_id_of_eq_id MvPolynomial.comap_eq_id_of_eq_id
+-/
 
+#print MvPolynomial.comap_rename /-
 theorem comap_rename (f : σ → τ) (x : τ → R) : comap (rename f) x = x ∘ f := by ext i;
   simp only [rename_X, comap_apply, aeval_X]
 #align mv_polynomial.comap_rename MvPolynomial.comap_rename
+-/
 
 #print MvPolynomial.comapEquiv /-
 /-- If two polynomial types over the same coefficient ring `R` are equivalent,
@@ -110,17 +124,21 @@ noncomputable def comapEquiv (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R)
 #align mv_polynomial.comap_equiv MvPolynomial.comapEquiv
 -/
 
+#print MvPolynomial.comapEquiv_coe /-
 @[simp]
 theorem comapEquiv_coe (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R) :
     (comapEquiv f : (τ → R) → σ → R) = comap f :=
   rfl
 #align mv_polynomial.comap_equiv_coe MvPolynomial.comapEquiv_coe
+-/
 
+#print MvPolynomial.comapEquiv_symm_coe /-
 @[simp]
 theorem comapEquiv_symm_coe (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R) :
     ((comapEquiv f).symm : (σ → R) → τ → R) = comap f.symm :=
   rfl
 #align mv_polynomial.comap_equiv_symm_coe MvPolynomial.comapEquiv_symm_coe
+-/
 
 end MvPolynomial
 
Diff
@@ -85,11 +85,9 @@ theorem comap_comp (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R)
   funext x; exact comap_comp_apply _ _ _
 #align mv_polynomial.comap_comp MvPolynomial.comap_comp
 
-#print MvPolynomial.comap_eq_id_of_eq_id /-
 theorem comap_eq_id_of_eq_id (f : MvPolynomial σ R →ₐ[R] MvPolynomial σ R) (hf : ∀ φ, f φ = φ)
     (x : σ → R) : comap f x = x := by convert comap_id_apply x; ext1 φ; rw [hf, AlgHom.id_apply]
 #align mv_polynomial.comap_eq_id_of_eq_id MvPolynomial.comap_eq_id_of_eq_id
--/
 
 theorem comap_rename (f : σ → τ) (x : τ → R) : comap (rename f) x = x ∘ f := by ext i;
   simp only [rename_X, comap_apply, aeval_X]
Diff
@@ -46,21 +46,12 @@ noncomputable def comap (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) : (
 #align mv_polynomial.comap MvPolynomial.comap
 -/
 
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 @[simp]
 theorem comap_apply (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) (x : τ → R) (i : σ) :
     comap f x i = aeval x (f (X i)) :=
   rfl
 #align mv_polynomial.comap_apply MvPolynomial.comap_apply
 
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 @[simp]
 theorem comap_id_apply (x : σ → R) : comap (AlgHom.id R (MvPolynomial σ R)) x = x := by funext i;
   simp only [comap, AlgHom.id_apply, id.def, aeval_X]
@@ -68,24 +59,12 @@ theorem comap_id_apply (x : σ → R) : comap (AlgHom.id R (MvPolynomial σ R))
 
 variable (σ R)
 
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 theorem comap_id : comap (AlgHom.id R (MvPolynomial σ R)) = id := by funext x;
   exact comap_id_apply x
 #align mv_polynomial.comap_id MvPolynomial.comap_id
 
 variable {σ R}
 
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 theorem comap_comp_apply (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R)
     (g : MvPolynomial τ R →ₐ[R] MvPolynomial υ R) (x : υ → R) :
     comap (g.comp f) x = comap f (comap g x) :=
@@ -101,12 +80,6 @@ theorem comap_comp_apply (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R)
     ext r; apply aeval_C
 #align mv_polynomial.comap_comp_apply MvPolynomial.comap_comp_apply
 
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 theorem comap_comp (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R)
     (g : MvPolynomial τ R →ₐ[R] MvPolynomial υ R) : comap (g.comp f) = comap f ∘ comap g := by
   funext x; exact comap_comp_apply _ _ _
@@ -118,12 +91,6 @@ theorem comap_eq_id_of_eq_id (f : MvPolynomial σ R →ₐ[R] MvPolynomial σ R)
 #align mv_polynomial.comap_eq_id_of_eq_id MvPolynomial.comap_eq_id_of_eq_id
 -/
 
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 theorem comap_rename (f : σ → τ) (x : τ → R) : comap (rename f) x = x ∘ f := by ext i;
   simp only [rename_X, comap_apply, aeval_X]
 #align mv_polynomial.comap_rename MvPolynomial.comap_rename
@@ -145,18 +112,12 @@ noncomputable def comapEquiv (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R)
 #align mv_polynomial.comap_equiv MvPolynomial.comapEquiv
 -/
 
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 @[simp]
 theorem comapEquiv_coe (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R) :
     (comapEquiv f : (τ → R) → σ → R) = comap f :=
   rfl
 #align mv_polynomial.comap_equiv_coe MvPolynomial.comapEquiv_coe
 
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 @[simp]
 theorem comapEquiv_symm_coe (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R) :
     ((comapEquiv f).symm : (σ → R) → τ → R) = comap f.symm :=
Diff
@@ -62,9 +62,7 @@ but is expected to have type
   forall {σ : Type.{u2}} {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] (x : σ -> R), Eq.{max (succ u2) (succ u1)} (σ -> R) (MvPolynomial.comap.{u2, u2, u1} σ σ R _inst_1 (AlgHom.id.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1))) x) x
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.comap_id_apply MvPolynomial.comap_id_applyₓ'. -/
 @[simp]
-theorem comap_id_apply (x : σ → R) : comap (AlgHom.id R (MvPolynomial σ R)) x = x :=
-  by
-  funext i
+theorem comap_id_apply (x : σ → R) : comap (AlgHom.id R (MvPolynomial σ R)) x = x := by funext i;
   simp only [comap, AlgHom.id_apply, id.def, aeval_X]
 #align mv_polynomial.comap_id_apply MvPolynomial.comap_id_apply
 
@@ -76,9 +74,7 @@ lean 3 declaration is
 but is expected to have type
   forall (σ : Type.{u2}) (R : Type.{u1}) [_inst_1 : CommSemiring.{u1} R], Eq.{max (succ u2) (succ u1)} ((σ -> R) -> σ -> R) (MvPolynomial.comap.{u2, u2, u1} σ σ R _inst_1 (AlgHom.id.{u1, max u1 u2} R (MvPolynomial.{u2, u1} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u1} (MvPolynomial.{u2, u1} σ R _inst_1) (MvPolynomial.commSemiring.{u1, u2} R σ _inst_1)) (MvPolynomial.algebra.{u1, u1, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u1} R _inst_1)))) (id.{max (succ u2) (succ u1)} (σ -> R))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.comap_id MvPolynomial.comap_idₓ'. -/
-theorem comap_id : comap (AlgHom.id R (MvPolynomial σ R)) = id :=
-  by
-  funext x
+theorem comap_id : comap (AlgHom.id R (MvPolynomial σ R)) = id := by funext x;
   exact comap_id_apply x
 #align mv_polynomial.comap_id MvPolynomial.comap_id
 
@@ -102,8 +98,7 @@ theorem comap_comp_apply (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R)
     exact aeval_unique g
   · simp only [comap, aeval_eq_eval₂_hom, map_eval₂_hom, AlgHom.comp_apply]
     refine' eval₂_hom_congr _ rfl rfl
-    ext r
-    apply aeval_C
+    ext r; apply aeval_C
 #align mv_polynomial.comap_comp_apply MvPolynomial.comap_comp_apply
 
 /- warning: mv_polynomial.comap_comp -> MvPolynomial.comap_comp is a dubious translation:
@@ -113,18 +108,13 @@ but is expected to have type
   forall {σ : Type.{u3}} {τ : Type.{u2}} {υ : Type.{u1}} {R : Type.{u4}} [_inst_1 : CommSemiring.{u4} R] (f : AlgHom.{u4, max u4 u3, max u4 u2} R (MvPolynomial.{u3, u4} σ R _inst_1) (MvPolynomial.{u2, u4} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u4} (MvPolynomial.{u3, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u2, u4} τ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R τ _inst_1)) (MvPolynomial.algebra.{u4, u4, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u4, u4, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1))) (g : AlgHom.{u4, max u4 u2, max u4 u1} R (MvPolynomial.{u2, u4} τ R _inst_1) (MvPolynomial.{u1, u4} υ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u2, u4} τ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u1, u4} υ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R υ _inst_1)) (MvPolynomial.algebra.{u4, u4, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u4, u4, u1} R R υ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1))), Eq.{max (max (succ u3) (succ u1)) (succ u4)} ((υ -> R) -> σ -> R) (MvPolynomial.comap.{u3, u1, u4} σ υ R _inst_1 (AlgHom.comp.{u4, max u4 u3, max u2 u4, max u1 u4} R (MvPolynomial.{u3, u4} σ R _inst_1) (MvPolynomial.{u2, u4} τ R _inst_1) (MvPolynomial.{u1, u4} υ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u3 u4} (MvPolynomial.{u3, u4} σ R _inst_1) (MvPolynomial.commSemiring.{u4, u3} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u4} (MvPolynomial.{u2, u4} τ R _inst_1) (MvPolynomial.commSemiring.{u4, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u1 u4} (MvPolynomial.{u1, u4} υ R _inst_1) (MvPolynomial.commSemiring.{u4, u1} R υ _inst_1)) (MvPolynomial.algebra.{u4, u4, u3} R R σ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u4, u4, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) (MvPolynomial.algebra.{u4, u4, u1} R R υ _inst_1 _inst_1 (Algebra.id.{u4} R _inst_1)) g f)) (Function.comp.{max (succ u4) (succ u1), max (succ u4) (succ u2), max (succ u4) (succ u3)} (υ -> R) (τ -> R) (σ -> R) (MvPolynomial.comap.{u3, u2, u4} σ τ R _inst_1 f) (MvPolynomial.comap.{u2, u1, u4} τ υ R _inst_1 g))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.comap_comp MvPolynomial.comap_compₓ'. -/
 theorem comap_comp (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R)
-    (g : MvPolynomial τ R →ₐ[R] MvPolynomial υ R) : comap (g.comp f) = comap f ∘ comap g :=
-  by
-  funext x
-  exact comap_comp_apply _ _ _
+    (g : MvPolynomial τ R →ₐ[R] MvPolynomial υ R) : comap (g.comp f) = comap f ∘ comap g := by
+  funext x; exact comap_comp_apply _ _ _
 #align mv_polynomial.comap_comp MvPolynomial.comap_comp
 
 #print MvPolynomial.comap_eq_id_of_eq_id /-
 theorem comap_eq_id_of_eq_id (f : MvPolynomial σ R →ₐ[R] MvPolynomial σ R) (hf : ∀ φ, f φ = φ)
-    (x : σ → R) : comap f x = x := by
-  convert comap_id_apply x
-  ext1 φ
-  rw [hf, AlgHom.id_apply]
+    (x : σ → R) : comap f x = x := by convert comap_id_apply x; ext1 φ; rw [hf, AlgHom.id_apply]
 #align mv_polynomial.comap_eq_id_of_eq_id MvPolynomial.comap_eq_id_of_eq_id
 -/
 
@@ -134,9 +124,7 @@ lean 3 declaration is
 but is expected to have type
   forall {σ : Type.{u3}} {τ : Type.{u1}} {R : Type.{u2}} [_inst_1 : CommSemiring.{u2} R] (f : σ -> τ) (x : τ -> R), Eq.{max (succ u3) (succ u2)} (σ -> R) (MvPolynomial.comap.{u3, u1, u2} σ τ R _inst_1 (MvPolynomial.rename.{u3, u1, u2} σ τ R _inst_1 f) x) (Function.comp.{succ u3, succ u1, succ u2} σ τ R x f)
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.comap_rename MvPolynomial.comap_renameₓ'. -/
-theorem comap_rename (f : σ → τ) (x : τ → R) : comap (rename f) x = x ∘ f :=
-  by
-  ext i
+theorem comap_rename (f : σ → τ) (x : τ → R) : comap (rename f) x = x ∘ f := by ext i;
   simp only [rename_X, comap_apply, aeval_X]
 #align mv_polynomial.comap_rename MvPolynomial.comap_rename
 
@@ -149,16 +137,10 @@ noncomputable def comapEquiv (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R)
   toFun := comap f
   invFun := comap f.symm
   left_inv := by
-    intro x
-    rw [← comap_comp_apply]
-    apply comap_eq_id_of_eq_id
-    intro
+    intro x; rw [← comap_comp_apply]; apply comap_eq_id_of_eq_id; intro
     simp only [AlgHom.id_apply, AlgEquiv.comp_symm]
   right_inv := by
-    intro x
-    rw [← comap_comp_apply]
-    apply comap_eq_id_of_eq_id
-    intro
+    intro x; rw [← comap_comp_apply]; apply comap_eq_id_of_eq_id; intro
     simp only [AlgHom.id_apply, AlgEquiv.symm_comp]
 #align mv_polynomial.comap_equiv MvPolynomial.comapEquiv
 -/
Diff
@@ -47,10 +47,7 @@ noncomputable def comap (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) : (
 -/
 
 /- warning: mv_polynomial.comap_apply -> MvPolynomial.comap_apply is a dubious translation:
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_inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) f (MvPolynomial.X.{u3, u2} R σ _inst_1 i)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.comap_apply MvPolynomial.comap_applyₓ'. -/
 @[simp]
 theorem comap_apply (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) (x : τ → R) (i : σ) :
@@ -167,10 +164,7 @@ noncomputable def comapEquiv (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R)
 -/
 
 /- warning: mv_polynomial.comap_equiv_coe -> MvPolynomial.comapEquiv_coe is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align mv_polynomial.comap_equiv_coe MvPolynomial.comapEquiv_coeₓ'. -/
 @[simp]
 theorem comapEquiv_coe (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R) :
@@ -179,10 +173,7 @@ theorem comapEquiv_coe (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R) :
 #align mv_polynomial.comap_equiv_coe MvPolynomial.comapEquiv_coe
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.comap_equiv_symm_coe MvPolynomial.comapEquiv_symm_coeₓ'. -/
 @[simp]
 theorem comapEquiv_symm_coe (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R) :
Diff
@@ -50,7 +50,7 @@ noncomputable def comap (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) : (
 lean 3 declaration is
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 but is expected to have type
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(CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u2 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u2 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u3} 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_inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u1) u3, u3, max u2 u3, max u1 u3} (AlgHom.{u3, max u3 u2, max u3 u1} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)))))) (Module.toDistribMulAction.{u3, max u2 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (Algebra.toModule.{u3, max u2 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u2 u1) u3, u3, max u2 u3, max u1 u3} (AlgHom.{u3, max u3 u2, max u3 u1} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)))) (Module.toDistribMulAction.{u3, max u2 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (Algebra.toModule.{u3, max u2 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u2 u3, max u1 u3, max (max u2 u1) u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (AlgHom.{u3, max u3 u2, max u3 u1} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (AlgHom.algHomClass.{u3, max u2 u3, max u1 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) f (MvPolynomial.X.{u3, u2} R σ _inst_1 i)))
+  forall {σ : Type.{u2}} {τ : Type.{u1}} {R : Type.{u3}} [_inst_1 : CommSemiring.{u3} R] (f : AlgHom.{u3, max u3 u2, max u3 u1} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (x : τ -> R) (i : σ), Eq.{succ u3} R (MvPolynomial.comap.{u2, u1, u3} σ τ R _inst_1 f x i) (FunLike.coe.{max (succ u1) (succ u3), max (succ u1) (succ u3), succ u3} (AlgHom.{u3, max u3 u1, u3} R (MvPolynomial.{u1, u3} τ R _inst_1) R _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (CommSemiring.toSemiring.{u3} R _inst_1) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (Algebra.id.{u3} R _inst_1)) (MvPolynomial.{u1, u3} τ R _inst_1) (fun (_x : MvPolynomial.{u1, u3} τ R _inst_1) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : MvPolynomial.{u1, u3} τ R _inst_1) => R) _x) (SMulHomClass.toFunLike.{max u1 u3, u3, max u1 u3, u3} (AlgHom.{u3, max u3 u1, u3} R (MvPolynomial.{u1, u3} τ R _inst_1) R _inst_1 (CommSemiring.toSemiring.{max u3 u1} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (CommSemiring.toSemiring.{u3} R _inst_1) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (Algebra.id.{u3} R _inst_1)) R (MvPolynomial.{u1, u3} τ R _inst_1) R (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R 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(CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u2 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (AddMonoid.toAddZeroClass.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u2 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u3} 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_inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (SMulZeroClass.toSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (AddMonoid.toZero.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1))))))) (DistribSMul.toSMulZeroClass.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (AddMonoid.toAddZeroClass.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1))))))) (DistribMulAction.toDistribSMul.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)))))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (DistribMulActionHomClass.toSMulHomClass.{max (max u2 u1) u3, u3, max u2 u3, max u1 u3} (AlgHom.{u3, max u3 u2, max u3 u1} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (AddCommMonoid.toAddMonoid.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)))))) (AddCommMonoid.toAddMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)))))) (Module.toDistribMulAction.{u3, max u2 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (Algebra.toModule.{u3, max u2 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max (max u2 u1) u3, u3, max u2 u3, max u1 u3} (AlgHom.{u3, max u3 u2, max u3 u1} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) (MonoidWithZero.toMonoid.{u3} R (Semiring.toMonoidWithZero.{u3} R (CommSemiring.toSemiring.{u3} R _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)))) (Module.toDistribMulAction.{u3, max u2 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (Semiring.toNonAssocSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1))))) (Algebra.toModule.{u3, max u2 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (Module.toDistribMulAction.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{u3} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (Semiring.toNonAssocSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1))))) (Algebra.toModule.{u3, max u1 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u3, max u2 u3, max u1 u3, max (max u2 u1) u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (AlgHom.{u3, max u3 u2, max u3 u1} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (AlgHom.algHomClass.{u3, max u2 u3, max u1 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) f (MvPolynomial.X.{u3, u2} R σ _inst_1 i)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.comap_apply MvPolynomial.comap_applyₓ'. -/
 @[simp]
 theorem comap_apply (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) (x : τ → R) (i : σ) :
Diff
@@ -170,7 +170,7 @@ noncomputable def comapEquiv (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R)
 lean 3 declaration is
   forall {σ : Type.{u1}} {τ : Type.{u2}} {R : Type.{u3}} [_inst_1 : CommSemiring.{u3} R] (f : AlgEquiv.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))), Eq.{max (max (succ u2) (succ u3)) (succ u1) (succ u3)} ((fun (_x : Equiv.{max (succ u2) (succ u3), max (succ u1) (succ u3)} (τ -> R) (σ -> R)) => (τ -> R) -> σ -> R) (MvPolynomial.comapEquiv.{u1, u2, u3} σ τ R _inst_1 f)) (coeFn.{max 1 (max (max (succ u2) (succ u3)) (succ u1) (succ u3)) (max (succ u1) (succ u3)) (succ u2) (succ u3), max (max (succ u2) (succ u3)) (succ u1) (succ u3)} (Equiv.{max (succ u2) (succ u3), max (succ u1) (succ u3)} (τ -> R) (σ -> R)) (fun (_x : Equiv.{max (succ u2) (succ u3), max (succ u1) (succ u3)} (τ -> R) (σ -> R)) => (τ -> R) -> σ -> R) (Equiv.hasCoeToFun.{max (succ u2) (succ u3), max (succ u1) (succ u3)} (τ -> R) (σ -> R)) (MvPolynomial.comapEquiv.{u1, u2, u3} σ τ R _inst_1 f)) (MvPolynomial.comap.{u1, u2, u3} σ τ R _inst_1 ((fun (a : Sort.{max (succ (max u1 u3)) (succ (max u2 u3))}) (b : Sort.{max (succ (max u1 u3)) (succ (max u2 u3))}) [self : HasLiftT.{max (succ (max u1 u3)) (succ (max u2 u3)), max (succ (max u1 u3)) (succ (max u2 u3))} a b] => self.0) (AlgEquiv.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) 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 but is expected to have type
-  forall {σ : Type.{u2}} {τ : Type.{u1}} {R : Type.{u3}} [_inst_1 : CommSemiring.{u3} R] (f : AlgEquiv.{u3, max u3 u2, max u3 u1} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))), Eq.{max (max (succ u2) (succ u1)) (succ u3)} (forall (a : τ -> R), (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : τ -> R) => σ -> R) a) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), max (succ u1) (succ u3), max (succ u2) (succ u3)} (Equiv.{max (succ u1) (succ u3), max (succ u2) (succ u3)} (τ -> R) (σ -> R)) (τ -> R) (fun (_x : τ -> R) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : τ -> R) => σ -> R) _x) (Equiv.instFunLikeEquiv.{max (succ u1) (succ u3), max (succ u2) (succ u3)} (τ -> R) (σ -> R)) (MvPolynomial.comapEquiv.{u2, u1, u3} σ τ R _inst_1 f)) (MvPolynomial.comap.{u2, u1, u3} σ τ R _inst_1 (AlgHomClass.toAlgHom.{u3, max u2 u3, max u1 u3, max (max u2 u1) u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (AlgEquiv.{u3, max u3 u2, max u3 u1} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (AlgEquivClass.toAlgHomClass.{max (max u2 u1) u3, u3, max u2 u3, max u1 u3} (AlgEquiv.{u3, max u3 u2, max u3 u1} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (AlgEquiv.instAlgEquivClassAlgEquiv.{u3, max u2 u3, max u1 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) f))
+  forall {σ : Type.{u2}} {τ : Type.{u1}} {R : Type.{u3}} [_inst_1 : CommSemiring.{u3} R] (f : AlgEquiv.{u3, max u3 u2, max u3 u1} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))), Eq.{max (max (succ u2) (succ u1)) (succ u3)} (forall (a : τ -> R), (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : τ -> R) => σ -> R) a) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), max (succ u1) (succ u3), max (succ u2) (succ u3)} (Equiv.{max (succ u1) (succ u3), max (succ u2) (succ u3)} (τ -> R) (σ -> R)) (τ -> R) (fun (_x : τ -> R) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : τ -> R) => σ -> R) _x) (Equiv.instFunLikeEquiv.{max (succ u1) (succ u3), max (succ u2) (succ u3)} (τ -> R) (σ -> R)) (MvPolynomial.comapEquiv.{u2, u1, u3} σ τ R _inst_1 f)) (MvPolynomial.comap.{u2, u1, u3} σ τ R _inst_1 (AlgHomClass.toAlgHom.{u3, max u2 u3, max u1 u3, max (max u2 u1) u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (AlgEquiv.{u3, max u3 u2, max u3 u1} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (AlgEquivClass.toAlgHomClass.{max (max u2 u1) u3, u3, max u2 u3, max u1 u3} (AlgEquiv.{u3, max u3 u2, max u3 u1} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (AlgEquiv.instAlgEquivClassAlgEquiv.{u3, max u2 u3, max u1 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) f))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.comap_equiv_coe MvPolynomial.comapEquiv_coeₓ'. -/
 @[simp]
 theorem comapEquiv_coe (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R) :
@@ -182,7 +182,7 @@ theorem comapEquiv_coe (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R) :
 lean 3 declaration is
   forall {σ : Type.{u1}} {τ : Type.{u2}} {R : Type.{u3}} [_inst_1 : CommSemiring.{u3} R] (f : AlgEquiv.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))), Eq.{max (max (succ u1) (succ u3)) (succ u2) (succ u3)} ((fun (_x : Equiv.{max (succ u1) (succ u3), max (succ u2) (succ u3)} (σ -> R) (τ -> R)) => (σ -> R) -> τ -> R) (Equiv.symm.{max (succ u2) (succ u3), max (succ u1) (succ u3)} (τ -> R) (σ -> R) (MvPolynomial.comapEquiv.{u1, u2, u3} σ τ R _inst_1 f))) (coeFn.{max 1 (max (max (succ u1) (succ u3)) (succ u2) (succ u3)) (max (succ u2) (succ u3)) (succ u1) (succ u3), max (max (succ u1) (succ u3)) (succ u2) (succ u3)} (Equiv.{max (succ u1) (succ u3), max (succ u2) (succ u3)} (σ -> R) (τ -> R)) (fun (_x : Equiv.{max (succ u1) (succ u3), max (succ u2) (succ u3)} (σ -> R) (τ -> R)) => (σ -> R) -> τ -> R) (Equiv.hasCoeToFun.{max (succ u1) (succ u3), max (succ u2) (succ u3)} (σ -> R) (τ -> R)) (Equiv.symm.{max (succ u2) (succ u3), max (succ u1) (succ u3)} (τ -> R) (σ -> R) (MvPolynomial.comapEquiv.{u1, u2, u3} σ τ R _inst_1 f))) (MvPolynomial.comap.{u2, u1, u3} τ σ R _inst_1 ((fun (a : Sort.{max (succ (max u2 u3)) (succ (max u1 u3))}) (b : Sort.{max (succ (max u2 u3)) (succ (max u1 u3))}) [self : HasLiftT.{max (succ (max u2 u3)) (succ (max u1 u3)), max (succ (max u2 u3)) (succ (max u1 u3))} a b] => self.0) (AlgEquiv.{u3, max u2 u3, max u1 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (AlgHom.{u3, max u2 u3, max u1 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (HasLiftT.mk.{max (succ (max u2 u3)) (succ (max u1 u3)), max (succ (max u2 u3)) (succ (max u1 u3))} (AlgEquiv.{u3, max 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u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (CoeTCₓ.coe.{max (succ (max u2 u3)) (succ (max u1 u3)), max (succ (max u2 u3)) (succ (max u1 u3))} (AlgEquiv.{u3, max u2 u3, max u1 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (AlgHom.{u3, max u2 u3, max u1 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (AlgHomClass.coeTC.{u3, max u2 u3, max u1 u3, max (max u2 u3) u1 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (AlgEquiv.{u3, max u2 u3, max u1 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (AlgEquivClass.toAlgHomClass.{max (max u2 u3) u1 u3, u3, max u2 u3, max u1 u3} (AlgEquiv.{u3, max u2 u3, max u1 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (AlgEquiv.algEquivClass.{u3, max u2 u3, max u1 u3} R (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.{u1, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))))))) (AlgEquiv.symm.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.{u2, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R σ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) f)))
 but is expected to have type
-  forall {σ : Type.{u2}} {τ : Type.{u1}} {R : Type.{u3}} [_inst_1 : CommSemiring.{u3} R] (f : AlgEquiv.{u3, max u3 u2, max u3 u1} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))), Eq.{max (max (succ u2) (succ u1)) (succ u3)} (forall (a : σ -> R), (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : σ -> R) => τ -> R) a) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), max (succ u2) (succ u3), max (succ u1) (succ u3)} (Equiv.{max (succ u2) (succ u3), max (succ u1) (succ u3)} (σ -> R) (τ -> R)) (σ -> R) (fun (_x : σ -> R) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : σ -> R) => τ -> R) _x) (Equiv.instFunLikeEquiv.{max (succ u2) (succ u3), max (succ u1) (succ u3)} (σ -> R) (τ -> R)) (Equiv.symm.{max (succ u1) (succ u3), max (succ u2) (succ u3)} (τ -> R) (σ -> R) (MvPolynomial.comapEquiv.{u2, u1, u3} σ τ R _inst_1 f))) (MvPolynomial.comap.{u1, u2, u3} τ σ R _inst_1 (AlgHomClass.toAlgHom.{u3, max u1 u3, max u2 u3, max (max u2 u1) u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (AlgEquiv.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (AlgEquivClass.toAlgHomClass.{max (max u2 u1) u3, u3, max u1 u3, max u2 u3} (AlgEquiv.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (AlgEquiv.instAlgEquivClassAlgEquiv.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (AlgEquiv.symm.{u3, max u2 u3, max u1 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) f)))
+  forall {σ : Type.{u2}} {τ : Type.{u1}} {R : Type.{u3}} [_inst_1 : CommSemiring.{u3} R] (f : AlgEquiv.{u3, max u3 u2, max u3 u1} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))), Eq.{max (max (succ u2) (succ u1)) (succ u3)} (forall (a : σ -> R), (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : σ -> R) => τ -> R) a) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), max (succ u2) (succ u3), max (succ u1) (succ u3)} (Equiv.{max (succ u2) (succ u3), max (succ u1) (succ u3)} (σ -> R) (τ -> R)) (σ -> R) (fun (_x : σ -> R) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : σ -> R) => τ -> R) _x) (Equiv.instFunLikeEquiv.{max (succ u2) (succ u3), max (succ u1) (succ u3)} (σ -> R) (τ -> R)) (Equiv.symm.{max (succ u1) (succ u3), max (succ u2) (succ u3)} (τ -> R) (σ -> R) (MvPolynomial.comapEquiv.{u2, u1, u3} σ τ R _inst_1 f))) (MvPolynomial.comap.{u1, u2, u3} τ σ R _inst_1 (AlgHomClass.toAlgHom.{u3, max u1 u3, max u2 u3, max (max u2 u1) u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (AlgEquiv.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (AlgEquivClass.toAlgHomClass.{max (max u2 u1) u3, u3, max u1 u3, max u2 u3} (AlgEquiv.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (AlgEquiv.instAlgEquivClassAlgEquiv.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (AlgEquiv.symm.{u3, max u2 u3, max u1 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) f)))
 Case conversion may be inaccurate. Consider using '#align mv_polynomial.comap_equiv_symm_coe MvPolynomial.comapEquiv_symm_coeₓ'. -/
 @[simp]
 theorem comapEquiv_symm_coe (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R) :
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
 
 ! This file was ported from Lean 3 source module data.mv_polynomial.comap
-! leanprover-community/mathlib commit aba31c938d3243cc671be7091b28a1e0814647ee
+! leanprover-community/mathlib commit 932872382355f00112641d305ba0619305dc8642
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Data.MvPolynomial.Rename
 /-!
 # `comap` operation on `mv_polynomial`
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file defines the `comap` function on `mv_polynomial`.
 
 `mv_polynomial.comap` is a low-tech example of a map of "algebraic varieties," modulo the fact that
Diff
@@ -33,6 +33,7 @@ namespace MvPolynomial
 
 variable {σ : Type _} {τ : Type _} {υ : Type _} {R : Type _} [CommSemiring R]
 
+#print MvPolynomial.comap /-
 /-- Given an algebra hom `f : mv_polynomial σ R →ₐ[R] mv_polynomial τ R`
 and a variable evaluation `v : τ → R`,
 `comap f v` produces a variable evaluation `σ → R`.
@@ -40,13 +41,26 @@ and a variable evaluation `v : τ → R`,
 noncomputable def comap (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) : (τ → R) → σ → R :=
   fun x i => aeval x (f (X i))
 #align mv_polynomial.comap MvPolynomial.comap
+-/
 
+/- warning: mv_polynomial.comap_apply -> MvPolynomial.comap_apply is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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 @[simp]
 theorem comap_apply (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) (x : τ → R) (i : σ) :
     comap f x i = aeval x (f (X i)) :=
   rfl
 #align mv_polynomial.comap_apply MvPolynomial.comap_apply
 
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 @[simp]
 theorem comap_id_apply (x : σ → R) : comap (AlgHom.id R (MvPolynomial σ R)) x = x :=
   by
@@ -56,6 +70,12 @@ theorem comap_id_apply (x : σ → R) : comap (AlgHom.id R (MvPolynomial σ R))
 
 variable (σ R)
 
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 theorem comap_id : comap (AlgHom.id R (MvPolynomial σ R)) = id :=
   by
   funext x
@@ -64,6 +84,12 @@ theorem comap_id : comap (AlgHom.id R (MvPolynomial σ R)) = id :=
 
 variable {σ R}
 
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 theorem comap_comp_apply (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R)
     (g : MvPolynomial τ R →ₐ[R] MvPolynomial υ R) (x : υ → R) :
     comap (g.comp f) x = comap f (comap g x) :=
@@ -80,6 +106,12 @@ theorem comap_comp_apply (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R)
     apply aeval_C
 #align mv_polynomial.comap_comp_apply MvPolynomial.comap_comp_apply
 
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.comap_comp MvPolynomial.comap_compₓ'. -/
 theorem comap_comp (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R)
     (g : MvPolynomial τ R →ₐ[R] MvPolynomial υ R) : comap (g.comp f) = comap f ∘ comap g :=
   by
@@ -87,19 +119,28 @@ theorem comap_comp (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R)
   exact comap_comp_apply _ _ _
 #align mv_polynomial.comap_comp MvPolynomial.comap_comp
 
+#print MvPolynomial.comap_eq_id_of_eq_id /-
 theorem comap_eq_id_of_eq_id (f : MvPolynomial σ R →ₐ[R] MvPolynomial σ R) (hf : ∀ φ, f φ = φ)
     (x : σ → R) : comap f x = x := by
   convert comap_id_apply x
   ext1 φ
   rw [hf, AlgHom.id_apply]
 #align mv_polynomial.comap_eq_id_of_eq_id MvPolynomial.comap_eq_id_of_eq_id
+-/
 
+/- warning: mv_polynomial.comap_rename -> MvPolynomial.comap_rename is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.comap_rename MvPolynomial.comap_renameₓ'. -/
 theorem comap_rename (f : σ → τ) (x : τ → R) : comap (rename f) x = x ∘ f :=
   by
   ext i
   simp only [rename_X, comap_apply, aeval_X]
 #align mv_polynomial.comap_rename MvPolynomial.comap_rename
 
+#print MvPolynomial.comapEquiv /-
 /-- If two polynomial types over the same coefficient ring `R` are equivalent,
 there is a bijection between the types of functions from their variable types to `R`.
 -/
@@ -120,13 +161,26 @@ noncomputable def comapEquiv (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R)
     intro
     simp only [AlgHom.id_apply, AlgEquiv.symm_comp]
 #align mv_polynomial.comap_equiv MvPolynomial.comapEquiv
+-/
 
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+Case conversion may be inaccurate. Consider using '#align mv_polynomial.comap_equiv_coe MvPolynomial.comapEquiv_coeₓ'. -/
 @[simp]
 theorem comapEquiv_coe (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R) :
     (comapEquiv f : (τ → R) → σ → R) = comap f :=
   rfl
 #align mv_polynomial.comap_equiv_coe MvPolynomial.comapEquiv_coe
 
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+but is expected to have type
+  forall {σ : Type.{u2}} {τ : Type.{u1}} {R : Type.{u3}} [_inst_1 : CommSemiring.{u3} R] (f : AlgEquiv.{u3, max u3 u2, max u3 u1} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))), Eq.{max (max (succ u2) (succ u1)) (succ u3)} (forall (a : σ -> R), (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : σ -> R) => τ -> R) a) (FunLike.coe.{max (max (succ u2) (succ u1)) (succ u3), max (succ u2) (succ u3), max (succ u1) (succ u3)} (Equiv.{max (succ u2) (succ u3), max (succ u1) (succ u3)} (σ -> R) (τ -> R)) (σ -> R) (fun (_x : σ -> R) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : σ -> R) => τ -> R) _x) (Equiv.instFunLikeEquiv.{max (succ u2) (succ u3), max (succ u1) (succ u3)} (σ -> R) (τ -> R)) (Equiv.symm.{max (succ u1) (succ u3), max (succ u2) (succ u3)} (τ -> R) (σ -> R) (MvPolynomial.comapEquiv.{u2, u1, u3} σ τ R _inst_1 f))) (MvPolynomial.comap.{u1, u2, u3} τ σ R _inst_1 (AlgHomClass.toAlgHom.{u3, max u1 u3, max u2 u3, max (max u2 u1) u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (AlgEquiv.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) (AlgEquivClass.toAlgHomClass.{max (max u2 u1) u3, u3, max u1 u3, max u2 u3} (AlgEquiv.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1))) R (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (AlgEquiv.instAlgEquivClassAlgEquiv.{u3, max u1 u3, max u2 u3} R (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.{u2, u3} σ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)))) (AlgEquiv.symm.{u3, max u2 u3, max u1 u3} R (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.{u1, u3} τ R _inst_1) _inst_1 (CommSemiring.toSemiring.{max u2 u3} (MvPolynomial.{u2, u3} σ R _inst_1) (MvPolynomial.commSemiring.{u3, u2} R σ _inst_1)) (CommSemiring.toSemiring.{max u1 u3} (MvPolynomial.{u1, u3} τ R _inst_1) (MvPolynomial.commSemiring.{u3, u1} R τ _inst_1)) (MvPolynomial.algebra.{u3, u3, u2} R R σ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) (MvPolynomial.algebra.{u3, u3, u1} R R τ _inst_1 _inst_1 (Algebra.id.{u3} R _inst_1)) f)))
+Case conversion may be inaccurate. Consider using '#align mv_polynomial.comap_equiv_symm_coe MvPolynomial.comapEquiv_symm_coeₓ'. -/
 @[simp]
 theorem comapEquiv_symm_coe (f : MvPolynomial σ R ≃ₐ[R] MvPolynomial τ R) :
     ((comapEquiv f).symm : (σ → R) → τ → R) = comap f.symm :=
Diff
@@ -38,12 +38,12 @@ and a variable evaluation `v : τ → R`,
 `comap f v` produces a variable evaluation `σ → R`.
 -/
 noncomputable def comap (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) : (τ → R) → σ → R :=
-  fun x i => aeval x (f (x i))
+  fun x i => aeval x (f (X i))
 #align mv_polynomial.comap MvPolynomial.comap
 
 @[simp]
 theorem comap_apply (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) (x : τ → R) (i : σ) :
-    comap f x i = aeval x (f (x i)) :=
+    comap f x i = aeval x (f (X i)) :=
   rfl
 #align mv_polynomial.comap_apply MvPolynomial.comap_apply
 

Changes in mathlib4

mathlib3
mathlib4
chore: avoid id.def (adaptation for nightly-2024-03-27) (#11829)

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

Diff
@@ -47,7 +47,7 @@ theorem comap_apply (f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R) (x : τ
 @[simp]
 theorem comap_id_apply (x : σ → R) : comap (AlgHom.id R (MvPolynomial σ R)) x = x := by
   funext i
-  simp only [comap, AlgHom.id_apply, id.def, aeval_X]
+  simp only [comap, AlgHom.id_apply, id, aeval_X]
 #align mv_polynomial.comap_id_apply MvPolynomial.comap_id_apply
 
 variable (σ R)
move(Polynomial): Move out of Data (#11751)

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

Diff
@@ -3,7 +3,7 @@ Copyright (c) 2020 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
 -/
-import Mathlib.Data.MvPolynomial.Rename
+import Mathlib.Algebra.MvPolynomial.Rename
 
 #align_import data.mv_polynomial.comap from "leanprover-community/mathlib"@"aba31c938d3243cc671be7091b28a1e0814647ee"
 
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.

Diff
@@ -19,16 +19,16 @@ This file defines the `comap` function on `MvPolynomial`.
 
 As in other polynomial files, we typically use the notation:
 
-+ `σ : Type _` (indexing the variables)
++ `σ : Type*` (indexing the variables)
 
-+ `R : Type _` `[CommSemiring R]` (the coefficients)
++ `R : Type*` `[CommSemiring R]` (the coefficients)
 
 -/
 
 
 namespace MvPolynomial
 
-variable {σ : Type _} {τ : Type _} {υ : Type _} {R : Type _} [CommSemiring R]
+variable {σ : Type*} {τ : Type*} {υ : Type*} {R : Type*} [CommSemiring R]
 
 /-- Given an algebra hom `f : MvPolynomial σ R →ₐ[R] MvPolynomial τ R`
 and a variable evaluation `v : τ → R`,
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

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

Diff
@@ -2,14 +2,11 @@
 Copyright (c) 2020 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
-
-! This file was ported from Lean 3 source module data.mv_polynomial.comap
-! leanprover-community/mathlib commit aba31c938d3243cc671be7091b28a1e0814647ee
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Data.MvPolynomial.Rename
 
+#align_import data.mv_polynomial.comap from "leanprover-community/mathlib"@"aba31c938d3243cc671be7091b28a1e0814647ee"
+
 /-!
 # `comap` operation on `MvPolynomial`
 
chore: tidy various files (#2950)
Diff
@@ -22,9 +22,9 @@ This file defines the `comap` function on `MvPolynomial`.
 
 As in other polynomial files, we typically use the notation:
 
-+ `σ : Type*` (indexing the variables)
++ `σ : Type _` (indexing the variables)
 
-+ `R : Type*` `[CommSemiring R]` (the coefficients)
++ `R : Type _` `[CommSemiring R]` (the coefficients)
 
 -/
 
feat: port Data.MvPolynomial.Comap (#2904)

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

Dependencies 8 + 465

466 files ported (98.3%)
192453 lines ported (98.4%)
Show graph

The unported dependencies are