data.complex.determinant | 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

65ec5990

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

fe8d0ff4

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) 2022 Joseph Myers. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joseph Myers
 -/
-import Mathbin.Data.Complex.Module
-import Mathbin.LinearAlgebra.Determinant
+import Data.Complex.Module
+import LinearAlgebra.Determinant
 
 #align_import data.complex.determinant from "leanprover-community/mathlib"@"fe8d0ff42c3c24d789f491dc2622b6cac3d61564"

fe8d0ff4

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) 2022 Joseph Myers. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joseph Myers
-
-! This file was ported from Lean 3 source module data.complex.determinant
-! leanprover-community/mathlib commit fe8d0ff42c3c24d789f491dc2622b6cac3d61564
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Data.Complex.Module
 import Mathbin.LinearAlgebra.Determinant
 
+#align_import data.complex.determinant from "leanprover-community/mathlib"@"fe8d0ff42c3c24d789f491dc2622b6cac3d61564"
+
 /-!
 # Determinants of maps in the complex numbers as a vector space over `ℝ`

fe8d0ff4

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -25,6 +25,7 @@ space over `ℝ`.
 
 namespace Complex
 
+#print Complex.det_conjAe /-
 /-- The determinant of `conj_ae`, as a linear map. -/
 @[simp]
 theorem det_conjAe : conjAe.toLinearMap.det = -1 :=
@@ -32,13 +33,16 @@ theorem det_conjAe : conjAe.toLinearMap.det = -1 :=
   rw [← LinearMap.det_toMatrix basis_one_I, to_matrix_conj_ae, Matrix.det_fin_two_of]
   simp
 #align complex.det_conj_ae Complex.det_conjAe
+-/
 
+#print Complex.linearEquiv_det_conjAe /-
 /-- The determinant of `conj_ae`, as a linear equiv. -/
 @[simp]
 theorem linearEquiv_det_conjAe : conjAe.toLinearEquiv.det = -1 := by
   rw [← Units.eq_iff, LinearEquiv.coe_det, ← LinearEquiv.toLinearMap_eq_coe,
     AlgEquiv.toLinearEquiv_toLinearMap, det_conj_ae, Units.coe_neg_one]
 #align complex.linear_equiv_det_conj_ae Complex.linearEquiv_det_conjAe
+-/
 
 end Complex

fe8d0ff4

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -25,9 +25,6 @@ space over `ℝ`.
 
 namespace Complex
 
-/- warning: complex.det_conj_ae -> Complex.det_conjAe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align complex.det_conj_ae Complex.det_conjAeₓ'. -/
 /-- The determinant of `conj_ae`, as a linear map. -/
 @[simp]
 theorem det_conjAe : conjAe.toLinearMap.det = -1 :=
@@ -36,9 +33,6 @@ theorem det_conjAe : conjAe.toLinearMap.det = -1 :=
   simp
 #align complex.det_conj_ae Complex.det_conjAe
 
-/- warning: complex.linear_equiv_det_conj_ae -> Complex.linearEquiv_det_conjAe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align complex.linear_equiv_det_conj_ae Complex.linearEquiv_det_conjAeₓ'. -/
 /-- The determinant of `conj_ae`, as a linear equiv. -/
 @[simp]
 theorem linearEquiv_det_conjAe : conjAe.toLinearEquiv.det = -1 := by

fe8d0ff4

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -26,10 +26,7 @@ space over `ℝ`.
 namespace Complex
 
 /- warning: complex.det_conj_ae -> Complex.det_conjAe is a dubious translation:
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-but is expected to have type
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=> Real) (AlgEquiv.toLinearMap.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (FunLike.coe.{1, 1, 1} (MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex 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Real.commRing)))))) (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (fun (_x : LinearMap.{0, 0, 0, 0} Real 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(CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Real) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real 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(AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) Real (MulOneClass.toMul.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Semiring.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Module.End.semiring.{0, 0} Real Complex (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))))))) (MulOneClass.toMul.{0} Real (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex 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(LinearMap.det.{0, 0} Complex Complex.addCommGroup Real Real.commRing (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (AlgEquiv.toLinearMap.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (Neg.neg.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real 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Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) Real.instOneReal)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align complex.det_conj_ae Complex.det_conjAeₓ'. -/
 /-- The determinant of `conj_ae`, as a linear map. -/
 @[simp]
@@ -40,10 +37,7 @@ theorem det_conjAe : conjAe.toLinearMap.det = -1 :=
 #align complex.det_conj_ae Complex.det_conjAe
 
 /- warning: complex.linear_equiv_det_conj_ae -> Complex.linearEquiv_det_conjAe is a dubious translation:
-lean 3 declaration is
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(Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (DivInvMonoid.toMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Group.toDivInvMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex 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(CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) -> (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real 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(Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (DivInvMonoid.toMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Group.toDivInvMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (LinearEquiv.automorphismGroup.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))))))) (Units.mulOneClass.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det.{0, 0} Real Real.commRing Complex Complex.addCommGroup (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)) Complex.conjAe)) (Neg.neg.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (Units.hasNeg.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (NonUnitalNonAssocRing.toHasDistribNeg.{0} Real (NonAssocRing.toNonUnitalNonAssocRing.{0} Real (Ring.toNonAssocRing.{0} Real Real.ring)))) (OfNat.ofNat.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) 1 (OfNat.mk.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) 1 (One.one.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (MulOneClass.toHasOne.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (Units.mulOneClass.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))))))))
-but is expected to have type
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(Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) 1 (One.toOfNat1.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (InvOneClass.toOne.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (DivInvOneMonoid.toInvOneClass.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (DivisionMonoid.toDivInvOneMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (DivisionCommMonoid.toDivisionMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (CommGroup.toDivisionCommMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (Units.instCommGroupUnitsToMonoid.{0} Real Real.instCommMonoidReal)))))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align complex.linear_equiv_det_conj_ae Complex.linearEquiv_det_conjAeₓ'. -/
 /-- The determinant of `conj_ae`, as a linear equiv. -/
 @[simp]

fe8d0ff4

bump to nightly-2023-05-19-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

a31df521

Diff

@@ -29,7 +29,7 @@ namespace Complex
 lean 3 declaration is
   Eq.{1} Real (coeFn.{1, 1} (MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocRing.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Ring.toNonAssocRing.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) (fun (_x : MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocRing.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Ring.toNonAssocRing.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) => (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) -> Real) (MonoidHom.hasCoeToFun.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocRing.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Ring.toNonAssocRing.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) (LinearMap.det.{0, 0} Complex Complex.addCommGroup Real Real.commRing (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (AlgEquiv.toLinearMap.{0, 0, 0} Real Complex Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)) Complex.conjAe)) (Neg.neg.{0} Real Real.hasNeg (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))
 but is expected to have type
-  Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Real) (AlgEquiv.toLinearMap.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (FunLike.coe.{1, 1, 1} (MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Semiring.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Module.End.semiring.{0, 0} Real Complex (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))))) (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (fun (_x : LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Real) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Semiring.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Module.End.semiring.{0, 0} Real Complex (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))))) (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) Real (MulOneClass.toMul.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) 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Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) Real.instOneReal)))
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(CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Real) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real 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(AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) 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(AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Module.End.semiring.{0, 0} Real Complex (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))))))) (MulOneClass.toMul.{0} Real (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))))) (MonoidHomClass.toMulHomClass.{0, 0, 0} (MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex 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Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Semiring.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Module.End.semiring.{0, 0} Real Complex (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))))) (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Semiring.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Module.End.semiring.{0, 0} Real Complex (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (MonoidHom.monoidHomClass.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Semiring.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Module.End.semiring.{0, 0} Real Complex (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))))))) (LinearMap.det.{0, 0} Complex Complex.addCommGroup Real Real.commRing (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (AlgEquiv.toLinearMap.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (Neg.neg.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Real) (AlgEquiv.toLinearMap.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) Real.instNegReal (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Real) (AlgEquiv.toLinearMap.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) 1 (One.toOfNat1.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Real) (AlgEquiv.toLinearMap.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) Real.instOneReal)))
 Case conversion may be inaccurate. Consider using '#align complex.det_conj_ae Complex.det_conjAeₓ'. -/
 /-- The determinant of `conj_ae`, as a linear map. -/
 @[simp]
@@ -43,7 +43,7 @@ theorem det_conjAe : conjAe.toLinearMap.det = -1 :=
 lean 3 declaration is
   Eq.{1} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (coeFn.{1, 1} (MonoidHom.{0, 0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (Monoid.toMulOneClass.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (DivInvMonoid.toMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Group.toDivInvMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (LinearEquiv.automorphismGroup.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))))))) (Units.mulOneClass.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (fun (_x : MonoidHom.{0, 0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (Monoid.toMulOneClass.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (DivInvMonoid.toMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Group.toDivInvMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (LinearEquiv.automorphismGroup.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))))))) (Units.mulOneClass.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) => (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) -> (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (MonoidHom.hasCoeToFun.{0, 0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (Monoid.toMulOneClass.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (DivInvMonoid.toMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Group.toDivInvMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (LinearEquiv.automorphismGroup.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))))))) (Units.mulOneClass.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det.{0, 0} Real Real.commRing Complex Complex.addCommGroup (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)) Complex.conjAe)) (Neg.neg.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (Units.hasNeg.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (NonUnitalNonAssocRing.toHasDistribNeg.{0} Real (NonAssocRing.toNonUnitalNonAssocRing.{0} Real (Ring.toNonAssocRing.{0} Real Real.ring)))) (OfNat.ofNat.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) 1 (OfNat.mk.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) 1 (One.one.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (MulOneClass.toHasOne.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (Units.mulOneClass.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))))))))
 but is expected to have type
-  Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (FunLike.coe.{1, 1, 1} (MonoidHom.{0, 0} (LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (Monoid.toMulOneClass.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (DivInvMonoid.toMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} 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(AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real 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(NonUnitalNonAssocRing.toHasDistribNeg.{0} Real (NonAssocRing.toNonUnitalNonAssocRing.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal)))) (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) 1 (One.toOfNat1.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (InvOneClass.toOne.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (DivInvOneMonoid.toInvOneClass.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (DivisionMonoid.toDivInvOneMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (DivisionCommMonoid.toDivisionMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (CommGroup.toDivisionCommMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (Units.instCommGroupUnitsToMonoid.{0} Real Real.instCommMonoidReal)))))))))
 Case conversion may be inaccurate. Consider using '#align complex.linear_equiv_det_conj_ae Complex.linearEquiv_det_conjAeₓ'. -/
 /-- The determinant of `conj_ae`, as a linear equiv. -/
 @[simp]

fe8d0ff4

bump to nightly-2023-05-08-22

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

63e712c6

Diff

@@ -29,7 +29,7 @@ namespace Complex
 lean 3 declaration is
   Eq.{1} Real (coeFn.{1, 1} (MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocRing.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Ring.toNonAssocRing.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) (fun (_x : MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocRing.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Ring.toNonAssocRing.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) => (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) -> Real) (MonoidHom.hasCoeToFun.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocRing.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Ring.toNonAssocRing.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) (LinearMap.det.{0, 0} Complex Complex.addCommGroup Real Real.commRing (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (AlgEquiv.toLinearMap.{0, 0, 0} Real Complex Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)) Complex.conjAe)) (Neg.neg.{0} Real Real.hasNeg (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))
 but is expected to have type
-  Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Real) (AlgEquiv.toLinearMap.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (FunLike.coe.{1, 1, 1} (MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (NonAssocRing.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Ring.toNonAssocRing.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (fun (_x : LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Real) _x) (MulHomClass.toFunLike.{0, 0, 0} (MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex 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(Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real 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Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (AlgEquiv.toLinearMap.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (Neg.neg.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex 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(Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (MonoidHom.monoidHomClass.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex 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(LinearMap.det.{0, 0} Complex Complex.addCommGroup Real Real.commRing (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (AlgEquiv.toLinearMap.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (Neg.neg.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Real) (AlgEquiv.toLinearMap.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) Real.instNegReal (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Real) (AlgEquiv.toLinearMap.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) 1 (One.toOfNat1.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearMap.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Real) (AlgEquiv.toLinearMap.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) Real.instOneReal)))
 Case conversion may be inaccurate. Consider using '#align complex.det_conj_ae Complex.det_conjAeₓ'. -/
 /-- The determinant of `conj_ae`, as a linear map. -/
 @[simp]
@@ -43,7 +43,7 @@ theorem det_conjAe : conjAe.toLinearMap.det = -1 :=
 lean 3 declaration is
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(CommRing.toRing.{0} Real Real.commRing))) 1 (One.one.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (MulOneClass.toHasOne.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (Units.mulOneClass.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))))))))
 but is expected to have type
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(Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (Units.instNegUnits.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (NonUnitalNonAssocRing.toHasDistribNeg.{0} Real (NonAssocRing.toNonUnitalNonAssocRing.{0} Real (Ring.toNonAssocRing.{0} Real Real.instRingReal)))) (OfNat.ofNat.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) 1 (One.toOfNat1.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (InvOneClass.toOne.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (DivInvOneMonoid.toInvOneClass.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (DivisionMonoid.toDivInvOneMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (DivisionCommMonoid.toDivisionMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (CommGroup.toDivisionCommMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (CommSemiring.toSemiring.{0} Real (CommRing.toCommSemiring.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (Units.instCommGroupUnitsToMonoid.{0} Real Real.instCommMonoidReal)))))))))
 Case conversion may be inaccurate. Consider using '#align complex.linear_equiv_det_conj_ae Complex.linearEquiv_det_conjAeₓ'. -/
 /-- The determinant of `conj_ae`, as a linear equiv. -/
 @[simp]

fe8d0ff4

bump to nightly-2023-05-05-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/738054fa93d43512da144ec45ce799d18fd44248

c17f6f14

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joseph Myers
 
 ! This file was ported from Lean 3 source module data.complex.determinant
-! leanprover-community/mathlib commit 65ec59902eb17e4ab7da8d7e3d0bd9774d1b8b99
+! leanprover-community/mathlib commit fe8d0ff42c3c24d789f491dc2622b6cac3d61564
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.LinearAlgebra.Determinant
 /-!
 # Determinants of maps in the complex numbers as a vector space over `ℝ`
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file provides results about the determinants of maps in the complex numbers as a vector
 space over `ℝ`.

65ec5990

bump to nightly-2023-05-03-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/36b8aa61ea7c05727161f96a0532897bd72aedab

fde4375d

Diff

@@ -22,6 +22,12 @@ space over `ℝ`.
 
 namespace Complex
 
+/- warning: complex.det_conj_ae -> Complex.det_conjAe is a dubious translation:
+lean 3 declaration is
+  Eq.{1} Real (coeFn.{1, 1} (MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocRing.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Ring.toNonAssocRing.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) (fun (_x : MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocRing.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Ring.toNonAssocRing.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) => (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) -> Real) (MonoidHom.hasCoeToFun.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (NonAssocRing.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Ring.toNonAssocRing.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) (LinearMap.det.{0, 0} Complex Complex.addCommGroup Real Real.commRing (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (AlgEquiv.toLinearMap.{0, 0, 0} Real Complex Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)) Complex.conjAe)) (Neg.neg.{0} Real Real.hasNeg (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))
+but is expected to have type
+  Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Real) (AlgEquiv.toLinearMap.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (FunLike.coe.{1, 1, 1} (MonoidHom.{0, 0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) Real (MulZeroOneClass.toMulOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (NonAssocSemiring.toMulZeroOneClass.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (NonAssocRing.toNonAssocSemiring.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Ring.toNonAssocRing.{0} (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Module.End.ring.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) Complex.addCommGroup (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))))))) (MulZeroOneClass.toMulOneClass.{0} Real (NonAssocSemiring.toMulZeroOneClass.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) (LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (fun (_x : LinearMap.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) 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+Case conversion may be inaccurate. Consider using '#align complex.det_conj_ae Complex.det_conjAeₓ'. -/
 /-- The determinant of `conj_ae`, as a linear map. -/
 @[simp]
 theorem det_conjAe : conjAe.toLinearMap.det = -1 :=
@@ -30,6 +36,12 @@ theorem det_conjAe : conjAe.toLinearMap.det = -1 :=
   simp
 #align complex.det_conj_ae Complex.det_conjAe
 
+/- warning: complex.linear_equiv_det_conj_ae -> Complex.linearEquiv_det_conjAe is a dubious translation:
+lean 3 declaration is
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(Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Group.toDivInvMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (LinearEquiv.automorphismGroup.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))))))) (Units.mulOneClass.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) => (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) -> (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (MonoidHom.hasCoeToFun.{0, 0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (Monoid.toMulOneClass.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (DivInvMonoid.toMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (Group.toDivInvMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det._proof_1.{0} Real Real.commRing) (LinearEquiv.det._proof_2.{0} Real Real.commRing) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (LinearEquiv.automorphismGroup.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring))))))) (Units.mulOneClass.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (LinearEquiv.det.{0, 0} Real Real.commRing Complex Complex.addCommGroup (Algebra.toModule.{0, 0} Real Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.commSemiring (Ring.toSemiring.{0} Complex Complex.ring) (Ring.toSemiring.{0} Complex Complex.ring) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)) (Complex.algebra.{0} Real Real.commSemiring (Algebra.id.{0} Real Real.commSemiring)) Complex.conjAe)) (Neg.neg.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (Units.hasNeg.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (NonUnitalNonAssocRing.toHasDistribNeg.{0} Real (NonAssocRing.toNonUnitalNonAssocRing.{0} Real (Ring.toNonAssocRing.{0} Real Real.ring)))) (OfNat.ofNat.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) 1 (OfNat.mk.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) 1 (One.one.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (MulOneClass.toHasOne.{0} (Units.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (Units.mulOneClass.{0} Real (Ring.toMonoid.{0} Real (CommRing.toRing.{0} Real Real.commRing))))))))
+but is expected to have type
+  Eq.{1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (FunLike.coe.{1, 1, 1} (MonoidHom.{0, 0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} 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Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))))) (Monoid.toMulOneClass.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (DivInvMonoid.toMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (Group.toDivInvMonoid.{0} (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (LinearEquiv.automorphismGroup.{0, 0} Real Complex (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))))))) (Units.instMulOneClassUnits.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))))) (LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) (fun (_x : LinearEquiv.{0, 0, 0, 0} 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Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (DivInvOneMonoid.toInvOneClass.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (DivisionMonoid.toDivInvOneMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (DivisionCommMonoid.toDivisionMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (CommGroup.toDivisionCommMonoid.{0} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : LinearEquiv.{0, 0, 0, 0} Real Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)) (RingHom.id.{0} Real (NonAssocRing.toNonAssocSemiring.{0} Real (Ring.toNonAssocRing.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHom.id.{0} Real (Semiring.toNonAssocSemiring.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing)))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) (RingHomInvPair.ids.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))) Complex Complex (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (AddCommGroup.toAddCommMonoid.{0} Complex Complex.addCommGroup) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal))) (Algebra.toModule.{0, 0} Real Complex Real.instCommSemiringReal Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)))) => Units.{0} Real (MonoidWithZero.toMonoid.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (CommRing.toRing.{0} Real Real.commRing))))) (AlgEquiv.toLinearEquiv.{0, 0, 0} Real Complex Complex Real.instCommSemiringReal Complex.instSemiringComplex Complex.instSemiringComplex (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) (Complex.instAlgebraComplexInstSemiringComplex.{0} Real Real.instCommSemiringReal (Algebra.id.{0} Real Real.instCommSemiringReal)) Complex.conjAe)) (Units.instCommGroupUnitsToMonoid.{0} Real Real.instCommMonoidReal)))))))))
+Case conversion may be inaccurate. Consider using '#align complex.linear_equiv_det_conj_ae Complex.linearEquiv_det_conjAeₓ'. -/
 /-- The determinant of `conj_ae`, as a linear equiv. -/
 @[simp]
 theorem linearEquiv_det_conjAe : conjAe.toLinearEquiv.det = -1 := by

65ec5990

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

65ec5990

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) 2022 Joseph Myers. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Joseph Myers
-
-! This file was ported from Lean 3 source module data.complex.determinant
-! leanprover-community/mathlib commit 65ec59902eb17e4ab7da8d7e3d0bd9774d1b8b99
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Data.Complex.Module
 import Mathlib.LinearAlgebra.Determinant
 
+#align_import data.complex.determinant from "leanprover-community/mathlib"@"65ec59902eb17e4ab7da8d7e3d0bd9774d1b8b99"
+
 /-!
 # Determinants of maps in the complex numbers as a vector space over `ℝ`

65ec5990

chore: reenable eta, bump to nightly 2023-05-16 (#3414)

Now that leanprover/lean4#2210 has been merged, this PR:

removes all the set_option synthInstance.etaExperiment true commands (and some etaExperiment% term elaborators)
removes many but not quite all set_option maxHeartbeats commands
makes various other changes required to cope with leanprover/lean4#2210.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Matthew Ballard <matt@mrb.email>

a6e1045f

Diff

@@ -19,7 +19,6 @@ space over `ℝ`.
 
 -/
 
-set_option synthInstance.etaExperiment true
 
 namespace Complex

65ec5990

feat: port Data.Complex.Determinant (#3765)

775b745f

`data.complex.determinant` ⟷ `Mathlib.Data.Complex.Determinant`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 737

data.complex.determinant ⟷ Mathlib.Data.Complex.Determinant

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 12 + 737

`data.complex.determinant` ⟷ `Mathlib.Data.Complex.Determinant`