linear_algebra.free_module.finite.matrix ⟷ Mathlib.LinearAlgebra.FreeModule.Finite.Matrix

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

@@ -3,7 +3,7 @@ Copyright (c) 2021 Riccardo Brasca. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Riccardo Brasca
 -/
-import LinearAlgebra.Finrank
+import LinearAlgebra.Dimension.Finrank
 import LinearAlgebra.FreeModule.Finite.Rank
 import LinearAlgebra.Matrix.ToLin
 

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

@@ -46,7 +46,8 @@ instance Module.Free.linearMap [Module.Finite R M] [Module.Finite R N] :
   by
   cases subsingleton_or_nontrivial R
   · apply Module.Free.of_subsingleton'
-  classical
+  classical exact
+    Module.Free.of_equiv (LinearMap.toMatrix (choose_basis R M) (choose_basis R N)).symm
 #align module.free.linear_map Module.Free.linearMap
 -/
 
@@ -59,6 +60,8 @@ instance Module.Finite.linearMap [Module.Finite R M] [Module.Finite R N] :
   cases subsingleton_or_nontrivial R
   · infer_instance
   classical
+  have f := (LinearMap.toMatrix (choose_basis R M) (choose_basis R N)).symm
+  exact Module.Finite.of_surjective f.to_linear_map (LinearEquiv.surjective f)
 #align module.finite.linear_map Module.Finite.linearMap
 -/
 
@@ -96,7 +99,12 @@ variable [AddCommGroup N] [Module R N] [Module.Free R N] [Module.Finite R N]
 #print FiniteDimensional.finrank_linearMap /-
 /-- The finrank of `M →ₗ[R] N` is `(finrank R M) * (finrank R N)`. -/
 theorem FiniteDimensional.finrank_linearMap : finrank R (M →ₗ[R] N) = finrank R M * finrank R N :=
-  by classical
+  by
+  classical
+  letI := nontrivial_of_invariantBasisNumber R
+  have h := LinearMap.toMatrix (choose_basis R M) (choose_basis R N)
+  simp_rw [h.finrank_eq, FiniteDimensional.finrank_matrix,
+    FiniteDimensional.finrank_eq_card_chooseBasisIndex, mul_comm]
 #align finite_dimensional.finrank_linear_map FiniteDimensional.finrank_linearMap
 -/
 

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

@@ -46,8 +46,7 @@ instance Module.Free.linearMap [Module.Finite R M] [Module.Finite R N] :
   by
   cases subsingleton_or_nontrivial R
   · apply Module.Free.of_subsingleton'
-  classical exact
-    Module.Free.of_equiv (LinearMap.toMatrix (choose_basis R M) (choose_basis R N)).symm
+  classical
 #align module.free.linear_map Module.Free.linearMap
 -/
 
@@ -60,8 +59,6 @@ instance Module.Finite.linearMap [Module.Finite R M] [Module.Finite R N] :
   cases subsingleton_or_nontrivial R
   · infer_instance
   classical
-  have f := (LinearMap.toMatrix (choose_basis R M) (choose_basis R N)).symm
-  exact Module.Finite.of_surjective f.to_linear_map (LinearEquiv.surjective f)
 #align module.finite.linear_map Module.Finite.linearMap
 -/
 
@@ -99,12 +96,7 @@ variable [AddCommGroup N] [Module R N] [Module.Free R N] [Module.Finite R N]
 #print FiniteDimensional.finrank_linearMap /-
 /-- The finrank of `M →ₗ[R] N` is `(finrank R M) * (finrank R N)`. -/
 theorem FiniteDimensional.finrank_linearMap : finrank R (M →ₗ[R] N) = finrank R M * finrank R N :=
-  by
-  classical
-  letI := nontrivial_of_invariantBasisNumber R
-  have h := LinearMap.toMatrix (choose_basis R M) (choose_basis R N)
-  simp_rw [h.finrank_eq, FiniteDimensional.finrank_matrix,
-    FiniteDimensional.finrank_eq_card_chooseBasisIndex, mul_comm]
+  by classical
 #align finite_dimensional.finrank_linear_map FiniteDimensional.finrank_linearMap
 -/
 

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

@@ -3,9 +3,9 @@ Copyright (c) 2021 Riccardo Brasca. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Riccardo Brasca
 -/
-import Mathbin.LinearAlgebra.Finrank
-import Mathbin.LinearAlgebra.FreeModule.Finite.Rank
-import Mathbin.LinearAlgebra.Matrix.ToLin
+import LinearAlgebra.Finrank
+import LinearAlgebra.FreeModule.Finite.Rank
+import LinearAlgebra.Matrix.ToLin
 
 #align_import linear_algebra.free_module.finite.matrix from "leanprover-community/mathlib"@"f2b757fc5c341d88741b9c4630b1e8ba973c5726"
 

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

@@ -2,16 +2,13 @@
 Copyright (c) 2021 Riccardo Brasca. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Riccardo Brasca
-
-! This file was ported from Lean 3 source module linear_algebra.free_module.finite.matrix
-! leanprover-community/mathlib commit f2b757fc5c341d88741b9c4630b1e8ba973c5726
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.LinearAlgebra.Finrank
 import Mathbin.LinearAlgebra.FreeModule.Finite.Rank
 import Mathbin.LinearAlgebra.Matrix.ToLin
 
+#align_import linear_algebra.free_module.finite.matrix from "leanprover-community/mathlib"@"f2b757fc5c341d88741b9c4630b1e8ba973c5726"
+
 /-!
 # Finite and free modules using matrices
 

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

@@ -43,6 +43,7 @@ variable [CommRing R] [AddCommGroup M] [Module R M] [Module.Free R M]
 
 variable [AddCommGroup N] [Module R N] [Module.Free R N]
 
+#print Module.Free.linearMap /-
 instance Module.Free.linearMap [Module.Finite R M] [Module.Finite R N] :
     Module.Free R (M →ₗ[R] N) :=
   by
@@ -51,6 +52,7 @@ instance Module.Free.linearMap [Module.Finite R M] [Module.Finite R N] :
   classical exact
     Module.Free.of_equiv (LinearMap.toMatrix (choose_basis R M) (choose_basis R N)).symm
 #align module.free.linear_map Module.Free.linearMap
+-/
 
 variable {R}
 
@@ -74,14 +76,18 @@ variable [AddCommGroup M] [Module.Finite ℤ M] [Module.Free ℤ M]
 
 variable [AddCommGroup N] [Module.Finite ℤ N] [Module.Free ℤ N]
 
+#print Module.Finite.addMonoidHom /-
 instance Module.Finite.addMonoidHom : Module.Finite ℤ (M →+ N) :=
   Module.Finite.equiv (addMonoidHomLequivInt ℤ).symm
 #align module.finite.add_monoid_hom Module.Finite.addMonoidHom
+-/
 
+#print Module.Free.addMonoidHom /-
 instance Module.Free.addMonoidHom : Module.Free ℤ (M →+ N) :=
   letI : Module.Free ℤ (M →ₗ[ℤ] N) := Module.Free.linearMap _ _ _
   Module.Free.of_equiv (addMonoidHomLequivInt ℤ).symm
 #align module.free.add_monoid_hom Module.Free.addMonoidHom
+-/
 
 end Integer
 
@@ -107,6 +113,7 @@ theorem FiniteDimensional.finrank_linearMap : finrank R (M →ₗ[R] N) = finran
 
 end CommRing
 
+#print Matrix.rank_vecMulVec /-
 theorem Matrix.rank_vecMulVec {K m n : Type u} [CommRing K] [StrongRankCondition K] [Fintype n]
     [DecidableEq n] (w : m → K) (v : n → K) : (Matrix.vecMulVec w v).toLin'.rank ≤ 1 :=
   by
@@ -115,4 +122,5 @@ theorem Matrix.rank_vecMulVec {K m n : Type u} [CommRing K] [StrongRankCondition
   refine' (LinearMap.rank_le_domain _).trans_eq _
   rw [rank_fun', Fintype.card_unit, Nat.cast_one]
 #align matrix.rank_vec_mul_vec Matrix.rank_vecMulVec
+-/
 

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

@@ -49,7 +49,7 @@ instance Module.Free.linearMap [Module.Finite R M] [Module.Finite R N] :
   cases subsingleton_or_nontrivial R
   · apply Module.Free.of_subsingleton'
   classical exact
-      Module.Free.of_equiv (LinearMap.toMatrix (choose_basis R M) (choose_basis R N)).symm
+    Module.Free.of_equiv (LinearMap.toMatrix (choose_basis R M) (choose_basis R N)).symm
 #align module.free.linear_map Module.Free.linearMap
 
 variable {R}
@@ -61,8 +61,8 @@ instance Module.Finite.linearMap [Module.Finite R M] [Module.Finite R N] :
   cases subsingleton_or_nontrivial R
   · infer_instance
   classical
-    have f := (LinearMap.toMatrix (choose_basis R M) (choose_basis R N)).symm
-    exact Module.Finite.of_surjective f.to_linear_map (LinearEquiv.surjective f)
+  have f := (LinearMap.toMatrix (choose_basis R M) (choose_basis R N)).symm
+  exact Module.Finite.of_surjective f.to_linear_map (LinearEquiv.surjective f)
 #align module.finite.linear_map Module.Finite.linearMap
 -/
 
@@ -98,10 +98,10 @@ variable [AddCommGroup N] [Module R N] [Module.Free R N] [Module.Finite R N]
 theorem FiniteDimensional.finrank_linearMap : finrank R (M →ₗ[R] N) = finrank R M * finrank R N :=
   by
   classical
-    letI := nontrivial_of_invariantBasisNumber R
-    have h := LinearMap.toMatrix (choose_basis R M) (choose_basis R N)
-    simp_rw [h.finrank_eq, FiniteDimensional.finrank_matrix,
-      FiniteDimensional.finrank_eq_card_chooseBasisIndex, mul_comm]
+  letI := nontrivial_of_invariantBasisNumber R
+  have h := LinearMap.toMatrix (choose_basis R M) (choose_basis R N)
+  simp_rw [h.finrank_eq, FiniteDimensional.finrank_matrix,
+    FiniteDimensional.finrank_eq_card_chooseBasisIndex, mul_comm]
 #align finite_dimensional.finrank_linear_map FiniteDimensional.finrank_linearMap
 -/
 

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

@@ -43,12 +43,6 @@ variable [CommRing R] [AddCommGroup M] [Module R M] [Module.Free R M]
 
 variable [AddCommGroup N] [Module R N] [Module.Free R N]
 
-/- warning: module.free.linear_map -> Module.Free.linearMap is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u}) (M : Type.{v}) (N : Type.{w}) [_inst_1 : CommRing.{u} R] [_inst_2 : AddCommGroup.{v} M] [_inst_3 : Module.{u, v} R M (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2)] [_inst_4 : Module.Free.{u, v} R M (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) _inst_3] [_inst_5 : AddCommGroup.{w} N] [_inst_6 : Module.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5)] [_inst_7 : Module.Free.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6] [_inst_8 : Module.Finite.{u, v} R M (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) _inst_3] [_inst_9 : Module.Finite.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6], Module.Free.{u, max v w} R (LinearMap.{u, u, v, w} R R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (RingHom.id.{u} R (Semiring.toNonAssocSemiring.{u} R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (LinearMap.addCommMonoid.{u, u, v, w} R R M N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6 (RingHom.id.{u} R (Semiring.toNonAssocSemiring.{u} R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1))))) (LinearMap.module.{u, u, u, v, w} R R R M N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6 (RingHom.id.{u} R (Semiring.toNonAssocSemiring.{u} R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)))) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) _inst_6 (smulCommClass_self.{u, w} R N (CommRing.toCommMonoid.{u} R _inst_1) (MulActionWithZero.toMulAction.{u, w} R N (Semiring.toMonoidWithZero.{u} R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1))) (AddZeroClass.toHasZero.{w} N (AddMonoid.toAddZeroClass.{w} N (AddCommMonoid.toAddMonoid.{w} N (AddCommGroup.toAddCommMonoid.{w} N _inst_5)))) (Module.toMulActionWithZero.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6))))
-but is expected to have type
-  forall (R : Type.{u}) (M : Type.{v}) (N : Type.{w}) [_inst_1 : CommRing.{u} R] [_inst_2 : AddCommGroup.{v} M] [_inst_3 : Module.{u, v} R M (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2)] [_inst_4 : Module.Free.{u, v} R M (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) _inst_3] [_inst_5 : AddCommGroup.{w} N] [_inst_6 : Module.{u, w} R N (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5)] [_inst_7 : Module.Free.{u, w} R N (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6] [_inst_8 : Module.Finite.{u, v} R M (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) _inst_3] [_inst_9 : Module.Finite.{u, w} R N (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6], Module.Free.{u, max w v} R (LinearMap.{u, u, v, w} R R (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (RingHom.id.{u} R (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6) (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (LinearMap.addCommMonoid.{u, u, v, w} R R M N (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6 (RingHom.id.{u} R (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u, u, u, v, w} R R R M N (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6 (RingHom.id.{u} R (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)))) (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) _inst_6 (smulCommClass_self.{u, w} R N (CommRing.toCommMonoid.{u} R _inst_1) (MulActionWithZero.toMulAction.{u, w} R N (Semiring.toMonoidWithZero.{u} R (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1))) (NegZeroClass.toZero.{w} N (SubNegZeroMonoid.toNegZeroClass.{w} N (SubtractionMonoid.toSubNegZeroMonoid.{w} N (SubtractionCommMonoid.toSubtractionMonoid.{w} N (AddCommGroup.toDivisionAddCommMonoid.{w} N _inst_5))))) (Module.toMulActionWithZero.{u, w} R N (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6))))
-Case conversion may be inaccurate. Consider using '#align module.free.linear_map Module.Free.linearMapₓ'. -/
 instance Module.Free.linearMap [Module.Finite R M] [Module.Finite R N] :
     Module.Free R (M →ₗ[R] N) :=
   by
@@ -80,22 +74,10 @@ variable [AddCommGroup M] [Module.Finite ℤ M] [Module.Free ℤ M]
 
 variable [AddCommGroup N] [Module.Finite ℤ N] [Module.Free ℤ N]
 
-/- warning: module.finite.add_monoid_hom -> Module.Finite.addMonoidHom is a dubious translation:
-lean 3 declaration is
-  forall (M : Type.{u1}) (N : Type.{u2}) [_inst_1 : AddCommGroup.{u1} M] [_inst_2 : Module.Finite.{0, u1} Int M Int.semiring (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.intModule.{u1} M _inst_1)] [_inst_3 : Module.Free.{0, u1} Int M Int.semiring (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.intModule.{u1} M _inst_1)] [_inst_4 : AddCommGroup.{u2} N] [_inst_5 : Module.Finite.{0, u2} Int N Int.semiring (AddCommGroup.toAddCommMonoid.{u2} N _inst_4) (AddCommGroup.intModule.{u2} N _inst_4)] [_inst_6 : Module.Free.{0, u2} Int N Int.semiring (AddCommGroup.toAddCommMonoid.{u2} N _inst_4) (AddCommGroup.intModule.{u2} N _inst_4)], Module.Finite.{0, max u2 u1} Int (AddMonoidHom.{u1, u2} M N (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1)))) (AddMonoid.toAddZeroClass.{u2} N (SubNegMonoid.toAddMonoid.{u2} N (AddGroup.toSubNegMonoid.{u2} N (AddCommGroup.toAddGroup.{u2} N _inst_4))))) Int.semiring (AddMonoidHom.addCommMonoid.{u1, u2} M N (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} N _inst_4)) (AddMonoidHom.module.{0, u1, u2} Int M N Int.semiring (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} N _inst_4) (AddCommGroup.intModule.{u2} N _inst_4))
-but is expected to have type
-  forall (M : Type.{u1}) (N : Type.{u2}) [_inst_1 : AddCommGroup.{u1} M] [_inst_2 : Module.Finite.{0, u1} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.intModule.{u1} M _inst_1)] [_inst_3 : Module.Free.{0, u1} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.intModule.{u1} M _inst_1)] [_inst_4 : AddCommGroup.{u2} N] [_inst_5 : Module.Finite.{0, u2} Int N Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} N _inst_4) (AddCommGroup.intModule.{u2} N _inst_4)] [_inst_6 : Module.Free.{0, u2} Int N Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} N _inst_4) (AddCommGroup.intModule.{u2} N _inst_4)], Module.Finite.{0, max u2 u1} Int (AddMonoidHom.{u1, u2} M N (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1)))) (AddMonoid.toAddZeroClass.{u2} N (SubNegMonoid.toAddMonoid.{u2} N (AddGroup.toSubNegMonoid.{u2} N (AddCommGroup.toAddGroup.{u2} N _inst_4))))) Int.instSemiringInt (AddMonoidHom.addCommMonoid.{u1, u2} M N (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} N _inst_4)) (AddCommGroup.intModule.{max u1 u2} (AddMonoidHom.{u1, u2} M N (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1)))) (AddMonoid.toAddZeroClass.{u2} N (SubNegMonoid.toAddMonoid.{u2} N (AddGroup.toSubNegMonoid.{u2} N (AddCommGroup.toAddGroup.{u2} N _inst_4))))) (AddMonoidHom.addCommGroup.{u1, u2} M N (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1)))) _inst_4))
-Case conversion may be inaccurate. Consider using '#align module.finite.add_monoid_hom Module.Finite.addMonoidHomₓ'. -/
 instance Module.Finite.addMonoidHom : Module.Finite ℤ (M →+ N) :=
   Module.Finite.equiv (addMonoidHomLequivInt ℤ).symm
 #align module.finite.add_monoid_hom Module.Finite.addMonoidHom
 
-/- warning: module.free.add_monoid_hom -> Module.Free.addMonoidHom is a dubious translation:
-lean 3 declaration is
-  forall (M : Type.{v}) (N : Type.{w}) [_inst_1 : AddCommGroup.{v} M] [_inst_2 : Module.Finite.{0, v} Int M Int.semiring (AddCommGroup.toAddCommMonoid.{v} M _inst_1) (AddCommGroup.intModule.{v} M _inst_1)] [_inst_3 : Module.Free.{0, v} Int M Int.semiring (AddCommGroup.toAddCommMonoid.{v} M _inst_1) (AddCommGroup.intModule.{v} M _inst_1)] [_inst_4 : AddCommGroup.{w} N] [_inst_5 : Module.Finite.{0, w} Int N Int.semiring (AddCommGroup.toAddCommMonoid.{w} N _inst_4) (AddCommGroup.intModule.{w} N _inst_4)] [_inst_6 : Module.Free.{0, w} Int N Int.semiring (AddCommGroup.toAddCommMonoid.{w} N _inst_4) (AddCommGroup.intModule.{w} N _inst_4)], Module.Free.{0, max w v} Int (AddMonoidHom.{v, w} M N (AddMonoid.toAddZeroClass.{v} M (SubNegMonoid.toAddMonoid.{v} M (AddGroup.toSubNegMonoid.{v} M (AddCommGroup.toAddGroup.{v} M _inst_1)))) (AddMonoid.toAddZeroClass.{w} N (SubNegMonoid.toAddMonoid.{w} N (AddGroup.toSubNegMonoid.{w} N (AddCommGroup.toAddGroup.{w} N _inst_4))))) Int.semiring (AddMonoidHom.addCommMonoid.{v, w} M N (AddMonoid.toAddZeroClass.{v} M (SubNegMonoid.toAddMonoid.{v} M (AddGroup.toSubNegMonoid.{v} M (AddCommGroup.toAddGroup.{v} M _inst_1)))) (AddCommGroup.toAddCommMonoid.{w} N _inst_4)) (AddMonoidHom.module.{0, v, w} Int M N Int.semiring (SubNegMonoid.toAddMonoid.{v} M (AddGroup.toSubNegMonoid.{v} M (AddCommGroup.toAddGroup.{v} M _inst_1))) (AddCommGroup.toAddCommMonoid.{w} N _inst_4) (AddCommGroup.intModule.{w} N _inst_4))
-but is expected to have type
-  forall (M : Type.{v}) (N : Type.{w}) [_inst_1 : AddCommGroup.{v} M] [_inst_2 : Module.Finite.{0, v} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{v} M _inst_1) (AddCommGroup.intModule.{v} M _inst_1)] [_inst_3 : Module.Free.{0, v} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{v} M _inst_1) (AddCommGroup.intModule.{v} M _inst_1)] [_inst_4 : AddCommGroup.{w} N] [_inst_5 : Module.Finite.{0, w} Int N Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{w} N _inst_4) (AddCommGroup.intModule.{w} N _inst_4)] [_inst_6 : Module.Free.{0, w} Int N Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{w} N _inst_4) (AddCommGroup.intModule.{w} N _inst_4)], Module.Free.{0, max w v} Int (AddMonoidHom.{v, w} M N (AddMonoid.toAddZeroClass.{v} M (SubNegMonoid.toAddMonoid.{v} M (AddGroup.toSubNegMonoid.{v} M (AddCommGroup.toAddGroup.{v} M _inst_1)))) (AddMonoid.toAddZeroClass.{w} N (SubNegMonoid.toAddMonoid.{w} N (AddGroup.toSubNegMonoid.{w} N (AddCommGroup.toAddGroup.{w} N _inst_4))))) Int.instSemiringInt (AddMonoidHom.addCommMonoid.{v, w} M N (AddMonoid.toAddZeroClass.{v} M (SubNegMonoid.toAddMonoid.{v} M (AddGroup.toSubNegMonoid.{v} M (AddCommGroup.toAddGroup.{v} M _inst_1)))) (AddCommGroup.toAddCommMonoid.{w} N _inst_4)) (AddCommGroup.intModule.{max v w} (AddMonoidHom.{v, w} M N (AddMonoid.toAddZeroClass.{v} M (SubNegMonoid.toAddMonoid.{v} M (AddGroup.toSubNegMonoid.{v} M (AddCommGroup.toAddGroup.{v} M _inst_1)))) (AddMonoid.toAddZeroClass.{w} N (SubNegMonoid.toAddMonoid.{w} N (AddGroup.toSubNegMonoid.{w} N (AddCommGroup.toAddGroup.{w} N _inst_4))))) (AddMonoidHom.addCommGroup.{v, w} M N (AddMonoid.toAddZeroClass.{v} M (SubNegMonoid.toAddMonoid.{v} M (AddGroup.toSubNegMonoid.{v} M (AddCommGroup.toAddGroup.{v} M _inst_1)))) _inst_4))
-Case conversion may be inaccurate. Consider using '#align module.free.add_monoid_hom Module.Free.addMonoidHomₓ'. -/
 instance Module.Free.addMonoidHom : Module.Free ℤ (M →+ N) :=
   letI : Module.Free ℤ (M →ₗ[ℤ] N) := Module.Free.linearMap _ _ _
   Module.Free.of_equiv (addMonoidHomLequivInt ℤ).symm
@@ -125,9 +107,6 @@ theorem FiniteDimensional.finrank_linearMap : finrank R (M →ₗ[R] N) = finran
 
 end CommRing
 
-/- warning: matrix.rank_vec_mul_vec -> Matrix.rank_vecMulVec is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.rank_vec_mul_vec Matrix.rank_vecMulVecₓ'. -/
 theorem Matrix.rank_vecMulVec {K m n : Type u} [CommRing K] [StrongRankCondition K] [Fintype n]
     [DecidableEq n] (w : m → K) (v : n → K) : (Matrix.vecMulVec w v).toLin'.rank ≤ 1 :=
   by

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

@@ -126,10 +126,7 @@ theorem FiniteDimensional.finrank_linearMap : finrank R (M →ₗ[R] N) = finran
 end CommRing
 
 /- warning: matrix.rank_vec_mul_vec -> Matrix.rank_vecMulVec is a dubious translation:
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K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_1.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.toLin'._proof_2.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.toLin'.{u1, u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m n _inst_3 (fun (a : n) (b : n) => _inst_4 a b)) (Matrix.vecMulVec.{u1, u1, u1} m n K (Distrib.toHasMul.{u1} K (Ring.toDistrib.{u1} K (CommRing.toRing.{u1} K _inst_1))) w v))) (OfNat.ofNat.{succ u1} Cardinal.{u1} 1 (OfNat.mk.{succ u1} Cardinal.{u1} 1 (One.one.{succ u1} Cardinal.{u1} Cardinal.hasOne.{u1})))
-but is expected to have type
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(CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.addCommGroup.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => Ring.toAddCommGroup.{u1} K (CommRing.toRing.{u1} K _inst_1))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (Matrix.{u1, u1, u1} m n K) (fun (_x : Matrix.{u1, u1, u1} m n K) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{u1, u1, u1} m n K) => LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (SMulZeroClass.toSMul.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (AddMonoid.toZero.{u1} (Matrix.{u1, u1, u1} m n K) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (DistribSMul.toSMulZeroClass.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (AddMonoid.toAddZeroClass.{u1} (Matrix.{u1, u1, u1} m n K) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (DistribMulAction.toDistribSMul.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (Module.toDistribMulAction.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (SMulZeroClass.toSMul.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Module.toDistribMulAction.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Module.toDistribMulAction.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Module.toDistribMulAction.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (Matrix.toLin'.{u1, u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m n _inst_3 (fun (a : n) (b : n) => _inst_4 a b)) (Matrix.vecMulVec.{u1, u1, u1} m n K (NonUnitalNonAssocRing.toMul.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (CommRing.toRing.{u1} K _inst_1)))) w v))) (OfNat.ofNat.{succ u1} Cardinal.{u1} 1 (One.toOfNat1.{succ u1} Cardinal.{u1} Cardinal.instOneCardinal.{u1}))
+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.rank_vec_mul_vec Matrix.rank_vecMulVecₓ'. -/
 theorem Matrix.rank_vecMulVec {K m n : Type u} [CommRing K] [StrongRankCondition K] [Fintype n]
     [DecidableEq n] (w : m → K) (v : n → K) : (Matrix.vecMulVec w v).toLin'.rank ≤ 1 :=

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

@@ -129,7 +129,7 @@ end CommRing
 lean 3 declaration is
   forall {K : Type.{u1}} {m : Type.{u1}} {n : Type.{u1}} [_inst_1 : CommRing.{u1} K] [_inst_2 : StrongRankCondition.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_1))] [_inst_3 : Fintype.{u1} n] [_inst_4 : DecidableEq.{succ u1} n] (w : m -> K) (v : n -> K), LE.le.{succ u1} Cardinal.{u1} Cardinal.hasLe.{u1} (LinearMap.rank.{u1, u1, u1} K (n -> K) (m -> K) (CommRing.toRing.{u1} K _inst_1) (Pi.addCommGroup.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocRing.toAddCommGroup.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (CommRing.toRing.{u1} K _inst_1))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.addCommGroup.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocRing.toAddCommGroup.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (CommRing.toRing.{u1} K _inst_1))))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (coeFn.{succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_1.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.toLin'._proof_2.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.module.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_3.{u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m))) (fun (_x : LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_1.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.toLin'._proof_2.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.module.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_3.{u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m))) => (Matrix.{u1, u1, u1} m n K) -> (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearEquiv.hasCoeToFun.{u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.module.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_3.{u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_1.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.toLin'._proof_2.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.toLin'.{u1, u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m n _inst_3 (fun (a : n) (b : n) => _inst_4 a b)) (Matrix.vecMulVec.{u1, u1, u1} m n K (Distrib.toHasMul.{u1} K (Ring.toDistrib.{u1} K (CommRing.toRing.{u1} K _inst_1))) w v))) (OfNat.ofNat.{succ u1} Cardinal.{u1} 1 (OfNat.mk.{succ u1} Cardinal.{u1} 1 (One.one.{succ u1} Cardinal.{u1} Cardinal.hasOne.{u1})))
 but is expected to have type
-  forall {K : Type.{u1}} {m : Type.{u1}} {n : Type.{u1}} [_inst_1 : CommRing.{u1} K] [_inst_2 : StrongRankCondition.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))] [_inst_3 : Fintype.{u1} n] [_inst_4 : DecidableEq.{succ u1} n] (w : m -> K) (v : n -> K), LE.le.{succ u1} Cardinal.{u1} Cardinal.instLECardinal.{u1} (LinearMap.rank.{u1, u1, u1} K (n -> K) (m -> K) (CommRing.toRing.{u1} K _inst_1) (Pi.addCommGroup.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => Ring.toAddCommGroup.{u1} K (CommRing.toRing.{u1} K _inst_1))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.addCommGroup.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => Ring.toAddCommGroup.{u1} K (CommRing.toRing.{u1} K _inst_1))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (Matrix.{u1, u1, u1} m n K) (fun (_x : Matrix.{u1, u1, u1} m n K) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u1, u1, u1} m n K) => LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (SMulZeroClass.toSMul.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (AddMonoid.toZero.{u1} (Matrix.{u1, u1, u1} m n K) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (DistribSMul.toSMulZeroClass.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (AddMonoid.toAddZeroClass.{u1} (Matrix.{u1, u1, u1} m n K) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (DistribMulAction.toDistribSMul.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (Module.toDistribMulAction.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (SMulZeroClass.toSMul.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Module.toDistribMulAction.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Module.toDistribMulAction.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Module.toDistribMulAction.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (Matrix.toLin'.{u1, u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m n _inst_3 (fun (a : n) (b : n) => _inst_4 a b)) (Matrix.vecMulVec.{u1, u1, u1} m n K (NonUnitalNonAssocRing.toMul.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (CommRing.toRing.{u1} K _inst_1)))) w v))) (OfNat.ofNat.{succ u1} Cardinal.{u1} 1 (One.toOfNat1.{succ u1} Cardinal.{u1} Cardinal.instOneCardinal.{u1}))
+  forall {K : Type.{u1}} {m : Type.{u1}} {n : Type.{u1}} [_inst_1 : CommRing.{u1} K] [_inst_2 : StrongRankCondition.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))] [_inst_3 : Fintype.{u1} n] [_inst_4 : DecidableEq.{succ u1} n] (w : m -> K) (v : n -> K), LE.le.{succ u1} Cardinal.{u1} Cardinal.instLECardinal.{u1} (LinearMap.rank.{u1, u1, u1} K (n -> K) (m -> K) (CommRing.toRing.{u1} K _inst_1) (Pi.addCommGroup.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => Ring.toAddCommGroup.{u1} K (CommRing.toRing.{u1} K _inst_1))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.addCommGroup.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => Ring.toAddCommGroup.{u1} K (CommRing.toRing.{u1} K _inst_1))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (Matrix.{u1, u1, u1} m n K) (fun (_x : Matrix.{u1, u1, u1} m n K) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{u1, u1, u1} m n K) => LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (SMulZeroClass.toSMul.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (AddMonoid.toZero.{u1} (Matrix.{u1, u1, u1} m n K) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (DistribSMul.toSMulZeroClass.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (AddMonoid.toAddZeroClass.{u1} (Matrix.{u1, u1, u1} m n K) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (DistribMulAction.toDistribSMul.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (Module.toDistribMulAction.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (SMulZeroClass.toSMul.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Module.toDistribMulAction.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Module.toDistribMulAction.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Module.toDistribMulAction.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (Matrix.toLin'.{u1, u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m n _inst_3 (fun (a : n) (b : n) => _inst_4 a b)) (Matrix.vecMulVec.{u1, u1, u1} m n K (NonUnitalNonAssocRing.toMul.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (CommRing.toRing.{u1} K _inst_1)))) w v))) (OfNat.ofNat.{succ u1} Cardinal.{u1} 1 (One.toOfNat1.{succ u1} Cardinal.{u1} Cardinal.instOneCardinal.{u1}))
 Case conversion may be inaccurate. Consider using '#align matrix.rank_vec_mul_vec Matrix.rank_vecMulVecₓ'. -/
 theorem Matrix.rank_vecMulVec {K m n : Type u} [CommRing K] [StrongRankCondition K] [Fintype n]
     [DecidableEq n] (w : m → K) (v : n → K) : (Matrix.vecMulVec w v).toLin'.rank ≤ 1 :=

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

@@ -47,7 +47,7 @@ variable [AddCommGroup N] [Module R N] [Module.Free R N]
 lean 3 declaration is
   forall (R : Type.{u}) (M : Type.{v}) (N : Type.{w}) [_inst_1 : CommRing.{u} R] [_inst_2 : AddCommGroup.{v} M] [_inst_3 : Module.{u, v} R M (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2)] [_inst_4 : Module.Free.{u, v} R M (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) _inst_3] [_inst_5 : AddCommGroup.{w} N] [_inst_6 : Module.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5)] [_inst_7 : Module.Free.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6] [_inst_8 : Module.Finite.{u, v} R M (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) _inst_3] [_inst_9 : Module.Finite.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6], Module.Free.{u, max v w} R (LinearMap.{u, u, v, w} R R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (RingHom.id.{u} R (Semiring.toNonAssocSemiring.{u} R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (LinearMap.addCommMonoid.{u, u, v, w} R R M N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6 (RingHom.id.{u} R (Semiring.toNonAssocSemiring.{u} R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1))))) (LinearMap.module.{u, u, u, v, w} R R R M N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6 (RingHom.id.{u} R (Semiring.toNonAssocSemiring.{u} R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)))) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) _inst_6 (smulCommClass_self.{u, w} R N (CommRing.toCommMonoid.{u} R _inst_1) (MulActionWithZero.toMulAction.{u, w} R N (Semiring.toMonoidWithZero.{u} R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1))) (AddZeroClass.toHasZero.{w} N (AddMonoid.toAddZeroClass.{w} N (AddCommMonoid.toAddMonoid.{w} N (AddCommGroup.toAddCommMonoid.{w} N _inst_5)))) (Module.toMulActionWithZero.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6))))
 but is expected to have type
-  forall (R : Type.{u}) (M : Type.{v}) (N : Type.{w}) [_inst_1 : CommRing.{u} R] [_inst_2 : AddCommGroup.{v} M] [_inst_3 : Module.{u, v} R M (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2)] [_inst_4 : Module.Free.{u, v} R M (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) _inst_3] [_inst_5 : AddCommGroup.{w} N] [_inst_6 : Module.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5)] [_inst_7 : Module.Free.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6] [_inst_8 : Module.Finite.{u, v} R M (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) _inst_3] [_inst_9 : Module.Finite.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6], Module.Free.{u, max w v} R (LinearMap.{u, u, v, w} R R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (RingHom.id.{u} R (NonAssocRing.toNonAssocSemiring.{u} R (Ring.toNonAssocRing.{u} R (CommRing.toRing.{u} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (LinearMap.addCommMonoid.{u, u, v, w} R R M N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6 (RingHom.id.{u} R (NonAssocRing.toNonAssocSemiring.{u} R (Ring.toNonAssocRing.{u} R (CommRing.toRing.{u} R _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u, u, u, v, w} R R R M N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6 (RingHom.id.{u} R (NonAssocRing.toNonAssocSemiring.{u} R (Ring.toNonAssocRing.{u} R (CommRing.toRing.{u} R _inst_1)))) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) _inst_6 (smulCommClass_self.{u, w} R N (CommRing.toCommMonoid.{u} R _inst_1) (MulActionWithZero.toMulAction.{u, w} R N (Semiring.toMonoidWithZero.{u} R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1))) (NegZeroClass.toZero.{w} N (SubNegZeroMonoid.toNegZeroClass.{w} N (SubtractionMonoid.toSubNegZeroMonoid.{w} N (SubtractionCommMonoid.toSubtractionMonoid.{w} N (AddCommGroup.toDivisionAddCommMonoid.{w} N _inst_5))))) (Module.toMulActionWithZero.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6))))
+  forall (R : Type.{u}) (M : Type.{v}) (N : Type.{w}) [_inst_1 : CommRing.{u} R] [_inst_2 : AddCommGroup.{v} M] [_inst_3 : Module.{u, v} R M (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2)] [_inst_4 : Module.Free.{u, v} R M (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) _inst_3] [_inst_5 : AddCommGroup.{w} N] [_inst_6 : Module.{u, w} R N (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5)] [_inst_7 : Module.Free.{u, w} R N (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6] [_inst_8 : Module.Finite.{u, v} R M (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) _inst_3] [_inst_9 : Module.Finite.{u, w} R N (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6], Module.Free.{u, max w v} R (LinearMap.{u, u, v, w} R R (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (RingHom.id.{u} R (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6) (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (LinearMap.addCommMonoid.{u, u, v, w} R R M N (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6 (RingHom.id.{u} R (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u, u, u, v, w} R R R M N (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6 (RingHom.id.{u} R (Semiring.toNonAssocSemiring.{u} R (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)))) (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) _inst_6 (smulCommClass_self.{u, w} R N (CommRing.toCommMonoid.{u} R _inst_1) (MulActionWithZero.toMulAction.{u, w} R N (Semiring.toMonoidWithZero.{u} R (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1))) (NegZeroClass.toZero.{w} N (SubNegZeroMonoid.toNegZeroClass.{w} N (SubtractionMonoid.toSubNegZeroMonoid.{w} N (SubtractionCommMonoid.toSubtractionMonoid.{w} N (AddCommGroup.toDivisionAddCommMonoid.{w} N _inst_5))))) (Module.toMulActionWithZero.{u, w} R N (CommSemiring.toSemiring.{u} R (CommRing.toCommSemiring.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6))))
 Case conversion may be inaccurate. Consider using '#align module.free.linear_map Module.Free.linearMapₓ'. -/
 instance Module.Free.linearMap [Module.Finite R M] [Module.Finite R N] :
     Module.Free R (M →ₗ[R] N) :=
@@ -129,7 +129,7 @@ end CommRing
 lean 3 declaration is
   forall {K : Type.{u1}} {m : Type.{u1}} {n : Type.{u1}} [_inst_1 : CommRing.{u1} K] [_inst_2 : StrongRankCondition.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_1))] [_inst_3 : Fintype.{u1} n] [_inst_4 : DecidableEq.{succ u1} n] (w : m -> K) (v : n -> K), LE.le.{succ u1} Cardinal.{u1} Cardinal.hasLe.{u1} (LinearMap.rank.{u1, u1, u1} K (n -> K) (m -> K) (CommRing.toRing.{u1} K _inst_1) (Pi.addCommGroup.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocRing.toAddCommGroup.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (CommRing.toRing.{u1} K _inst_1))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.addCommGroup.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocRing.toAddCommGroup.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (CommRing.toRing.{u1} K _inst_1))))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (coeFn.{succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_1.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.toLin'._proof_2.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.module.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_3.{u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m))) (fun (_x : LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_1.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.toLin'._proof_2.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => 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(CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.module.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_3.{u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m))) => (Matrix.{u1, u1, u1} m n K) -> (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearEquiv.hasCoeToFun.{u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.module.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_3.{u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_1.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.toLin'._proof_2.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.toLin'.{u1, u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m n _inst_3 (fun (a : n) (b : n) => _inst_4 a b)) (Matrix.vecMulVec.{u1, u1, u1} m n K (Distrib.toHasMul.{u1} K (Ring.toDistrib.{u1} K (CommRing.toRing.{u1} K _inst_1))) w v))) (OfNat.ofNat.{succ u1} Cardinal.{u1} 1 (OfNat.mk.{succ u1} Cardinal.{u1} 1 (One.one.{succ u1} Cardinal.{u1} Cardinal.hasOne.{u1})))
 but is expected to have type
-  forall {K : Type.{u1}} {m : Type.{u1}} {n : Type.{u1}} [_inst_1 : CommRing.{u1} K] [_inst_2 : StrongRankCondition.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_1))] [_inst_3 : Fintype.{u1} n] [_inst_4 : DecidableEq.{succ u1} n] (w : m -> K) (v : n -> K), LE.le.{succ u1} Cardinal.{u1} Cardinal.instLECardinal.{u1} (LinearMap.rank.{u1, u1, u1} K (n -> K) (m -> K) (CommRing.toRing.{u1} K _inst_1) (Pi.addCommGroup.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => Ring.toAddCommGroup.{u1} K (CommRing.toRing.{u1} K _inst_1))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.addCommGroup.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => Ring.toAddCommGroup.{u1} K (CommRing.toRing.{u1} K _inst_1))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (Matrix.{u1, u1, u1} m n K) (fun (_x : Matrix.{u1, u1, u1} m n K) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u1, u1, u1} m n K) => LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (SMulZeroClass.toSMul.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (AddMonoid.toZero.{u1} (Matrix.{u1, u1, u1} m n K) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (DistribSMul.toSMulZeroClass.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (AddMonoid.toAddZeroClass.{u1} (Matrix.{u1, u1, u1} m n K) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (DistribMulAction.toDistribSMul.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (Module.toDistribMulAction.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (SMulZeroClass.toSMul.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Module.toDistribMulAction.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Module.toDistribMulAction.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Module.toDistribMulAction.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (Matrix.toLin'.{u1, u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m n _inst_3 (fun (a : n) (b : n) => _inst_4 a b)) (Matrix.vecMulVec.{u1, u1, u1} m n K (NonUnitalNonAssocRing.toMul.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (CommRing.toRing.{u1} K _inst_1)))) w v))) (OfNat.ofNat.{succ u1} Cardinal.{u1} 1 (One.toOfNat1.{succ u1} Cardinal.{u1} Cardinal.instOneCardinal.{u1}))
+  forall {K : Type.{u1}} {m : Type.{u1}} {n : Type.{u1}} [_inst_1 : CommRing.{u1} K] [_inst_2 : StrongRankCondition.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))] [_inst_3 : Fintype.{u1} n] [_inst_4 : DecidableEq.{succ u1} n] (w : m -> K) (v : n -> K), LE.le.{succ u1} Cardinal.{u1} Cardinal.instLECardinal.{u1} (LinearMap.rank.{u1, u1, u1} K (n -> K) (m -> K) (CommRing.toRing.{u1} K _inst_1) (Pi.addCommGroup.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => Ring.toAddCommGroup.{u1} K (CommRing.toRing.{u1} K _inst_1))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.addCommGroup.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => Ring.toAddCommGroup.{u1} K (CommRing.toRing.{u1} K _inst_1))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (Matrix.{u1, u1, u1} m n K) (fun (_x : Matrix.{u1, u1, u1} m n K) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u1, u1, u1} m n K) => LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (SMulZeroClass.toSMul.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (AddMonoid.toZero.{u1} (Matrix.{u1, u1, u1} m n K) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (DistribSMul.toSMulZeroClass.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (AddMonoid.toAddZeroClass.{u1} (Matrix.{u1, u1, u1} m n K) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (DistribMulAction.toDistribSMul.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (Module.toDistribMulAction.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (SMulZeroClass.toSMul.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Module.toDistribMulAction.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Module.toDistribMulAction.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Module.toDistribMulAction.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (Matrix.toLin'.{u1, u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m n _inst_3 (fun (a : n) (b : n) => _inst_4 a b)) (Matrix.vecMulVec.{u1, u1, u1} m n K (NonUnitalNonAssocRing.toMul.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (CommRing.toRing.{u1} K _inst_1)))) w v))) (OfNat.ofNat.{succ u1} Cardinal.{u1} 1 (One.toOfNat1.{succ u1} Cardinal.{u1} Cardinal.instOneCardinal.{u1}))
 Case conversion may be inaccurate. Consider using '#align matrix.rank_vec_mul_vec Matrix.rank_vecMulVecₓ'. -/
 theorem Matrix.rank_vecMulVec {K m n : Type u} [CommRing K] [StrongRankCondition K] [Fintype n]
     [DecidableEq n] (w : m → K) (v : n → K) : (Matrix.vecMulVec w v).toLin'.rank ≤ 1 :=

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

@@ -129,7 +129,7 @@ end CommRing
 lean 3 declaration is
   forall {K : Type.{u1}} {m : Type.{u1}} {n : Type.{u1}} [_inst_1 : CommRing.{u1} K] [_inst_2 : StrongRankCondition.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_1))] [_inst_3 : Fintype.{u1} n] [_inst_4 : DecidableEq.{succ u1} n] (w : m -> K) (v : n -> K), LE.le.{succ u1} Cardinal.{u1} Cardinal.hasLe.{u1} (LinearMap.rank.{u1, u1, u1} K (n -> K) (m -> K) (CommRing.toRing.{u1} K _inst_1) (Pi.addCommGroup.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocRing.toAddCommGroup.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (CommRing.toRing.{u1} K _inst_1))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.addCommGroup.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocRing.toAddCommGroup.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (CommRing.toRing.{u1} K _inst_1))))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (coeFn.{succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_1.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.toLin'._proof_2.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.module.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_3.{u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m))) (fun (_x : LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_1.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.toLin'._proof_2.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.module.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_3.{u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m))) => (Matrix.{u1, u1, u1} m n K) -> (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearEquiv.hasCoeToFun.{u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.module.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_3.{u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_1.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.toLin'._proof_2.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.toLin'.{u1, u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m n _inst_3 (fun (a : n) (b : n) => _inst_4 a b)) (Matrix.vecMulVec.{u1, u1, u1} m n K (Distrib.toHasMul.{u1} K (Ring.toDistrib.{u1} K (CommRing.toRing.{u1} K _inst_1))) w v))) (OfNat.ofNat.{succ u1} Cardinal.{u1} 1 (OfNat.mk.{succ u1} Cardinal.{u1} 1 (One.one.{succ u1} Cardinal.{u1} Cardinal.hasOne.{u1})))
 but is expected to have type
-  forall {K : Type.{u1}} {m : Type.{u1}} {n : Type.{u1}} [_inst_1 : CommRing.{u1} K] [_inst_2 : StrongRankCondition.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_1))] [_inst_3 : Fintype.{u1} n] [_inst_4 : DecidableEq.{succ u1} n] (w : m -> K) (v : n -> K), LE.le.{succ u1} Cardinal.{u1} Cardinal.instLECardinal.{u1} (LinearMap.rank.{u1, u1, u1} K (n -> K) (m -> K) (CommRing.toRing.{u1} K _inst_1) (Pi.addCommGroup.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => Ring.toAddCommGroup.{u1} K (CommRing.toRing.{u1} K _inst_1))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.addCommGroup.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => Ring.toAddCommGroup.{u1} K (CommRing.toRing.{u1} K _inst_1))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (Matrix.{u1, u1, u1} m n K) (fun (_x : Matrix.{u1, u1, u1} m n K) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u1, u1, u1} m n K) => LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (SMulZeroClass.toSMul.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (AddMonoid.toZero.{u1} (Matrix.{u1, u1, u1} m n K) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (DistribSMul.toSMulZeroClass.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (AddMonoid.toAddZeroClass.{u1} (Matrix.{u1, u1, u1} m n K) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (DistribMulAction.toDistribSMul.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (Module.toDistribMulAction.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (SMulZeroClass.toSMul.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Module.toDistribMulAction.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Module.toDistribMulAction.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Module.toDistribMulAction.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (Matrix.toLin'.{u1, u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m n _inst_3 (fun (a : n) (b : n) => _inst_4 a b)) (Matrix.vecMulVec.{u1, u1, u1} m n K (NonUnitalNonAssocRing.toMul.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (CommRing.toRing.{u1} K _inst_1)))) w v))) (OfNat.ofNat.{succ u1} Cardinal.{u1} 1 (One.toOfNat1.{succ u1} Cardinal.{u1} Cardinal.instOneCardinal.{u1}))
+  forall {K : Type.{u1}} {m : Type.{u1}} {n : Type.{u1}} [_inst_1 : CommRing.{u1} K] [_inst_2 : StrongRankCondition.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_1))] [_inst_3 : Fintype.{u1} n] [_inst_4 : DecidableEq.{succ u1} n] (w : m -> K) (v : n -> K), LE.le.{succ u1} Cardinal.{u1} Cardinal.instLECardinal.{u1} (LinearMap.rank.{u1, u1, u1} K (n -> K) (m -> K) (CommRing.toRing.{u1} K _inst_1) (Pi.addCommGroup.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => Ring.toAddCommGroup.{u1} K (CommRing.toRing.{u1} K _inst_1))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.addCommGroup.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => Ring.toAddCommGroup.{u1} K (CommRing.toRing.{u1} K _inst_1))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (Matrix.{u1, u1, u1} m n K) (fun (_x : Matrix.{u1, u1, u1} m n K) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u1, u1, u1} m n K) => LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (SMulZeroClass.toSMul.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (AddMonoid.toZero.{u1} (Matrix.{u1, u1, u1} m n K) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (DistribSMul.toSMulZeroClass.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (AddMonoid.toAddZeroClass.{u1} (Matrix.{u1, u1, u1} m n K) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (DistribMulAction.toDistribSMul.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (Module.toDistribMulAction.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (SMulZeroClass.toSMul.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Module.toDistribMulAction.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Module.toDistribMulAction.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Module.toDistribMulAction.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (Matrix.toLin'.{u1, u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m n _inst_3 (fun (a : n) (b : n) => _inst_4 a b)) (Matrix.vecMulVec.{u1, u1, u1} m n K (NonUnitalNonAssocRing.toMul.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (CommRing.toRing.{u1} K _inst_1)))) w v))) (OfNat.ofNat.{succ u1} Cardinal.{u1} 1 (One.toOfNat1.{succ u1} Cardinal.{u1} Cardinal.instOneCardinal.{u1}))
 Case conversion may be inaccurate. Consider using '#align matrix.rank_vec_mul_vec Matrix.rank_vecMulVecₓ'. -/
 theorem Matrix.rank_vecMulVec {K m n : Type u} [CommRing K] [StrongRankCondition K] [Fintype n]
     [DecidableEq n] (w : m → K) (v : n → K) : (Matrix.vecMulVec w v).toLin'.rank ≤ 1 :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/86d04064ca33ee3d3405fbfc497d494fd2dd4796

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Riccardo Brasca
 
 ! This file was ported from Lean 3 source module linear_algebra.free_module.finite.matrix
-! leanprover-community/mathlib commit b1c23399f01266afe392a0d8f71f599a0dad4f7b
+! leanprover-community/mathlib commit f2b757fc5c341d88741b9c4630b1e8ba973c5726
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.LinearAlgebra.Matrix.ToLin
 /-!
 # Finite and free modules using matrices
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We provide some instances for finite and free modules involving matrices.
 
 ## Main results

mathlib commit https://github.com/leanprover-community/mathlib/commit/fa78268d4d77cb2b2fbc89f0527e2e7807763780

@@ -40,6 +40,12 @@ variable [CommRing R] [AddCommGroup M] [Module R M] [Module.Free R M]
 
 variable [AddCommGroup N] [Module R N] [Module.Free R N]
 
+/- warning: module.free.linear_map -> Module.Free.linearMap is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u}) (M : Type.{v}) (N : Type.{w}) [_inst_1 : CommRing.{u} R] [_inst_2 : AddCommGroup.{v} M] [_inst_3 : Module.{u, v} R M (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2)] [_inst_4 : Module.Free.{u, v} R M (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) _inst_3] [_inst_5 : AddCommGroup.{w} N] [_inst_6 : Module.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5)] [_inst_7 : Module.Free.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6] [_inst_8 : Module.Finite.{u, v} R M (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) _inst_3] [_inst_9 : Module.Finite.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6], Module.Free.{u, max v w} R (LinearMap.{u, u, v, w} R R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (RingHom.id.{u} R (Semiring.toNonAssocSemiring.{u} R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (LinearMap.addCommMonoid.{u, u, v, w} R R M N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6 (RingHom.id.{u} R (Semiring.toNonAssocSemiring.{u} R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1))))) (LinearMap.module.{u, u, u, v, w} R R R M N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6 (RingHom.id.{u} R (Semiring.toNonAssocSemiring.{u} R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)))) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) _inst_6 (smulCommClass_self.{u, w} R N (CommRing.toCommMonoid.{u} R _inst_1) (MulActionWithZero.toMulAction.{u, w} R N (Semiring.toMonoidWithZero.{u} R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1))) (AddZeroClass.toHasZero.{w} N (AddMonoid.toAddZeroClass.{w} N (AddCommMonoid.toAddMonoid.{w} N (AddCommGroup.toAddCommMonoid.{w} N _inst_5)))) (Module.toMulActionWithZero.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6))))
+but is expected to have type
+  forall (R : Type.{u}) (M : Type.{v}) (N : Type.{w}) [_inst_1 : CommRing.{u} R] [_inst_2 : AddCommGroup.{v} M] [_inst_3 : Module.{u, v} R M (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2)] [_inst_4 : Module.Free.{u, v} R M (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) _inst_3] [_inst_5 : AddCommGroup.{w} N] [_inst_6 : Module.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5)] [_inst_7 : Module.Free.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6] [_inst_8 : Module.Finite.{u, v} R M (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) _inst_3] [_inst_9 : Module.Finite.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6], Module.Free.{u, max w v} R (LinearMap.{u, u, v, w} R R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (RingHom.id.{u} R (NonAssocRing.toNonAssocSemiring.{u} R (Ring.toNonAssocRing.{u} R (CommRing.toRing.{u} R _inst_1)))) M N (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (LinearMap.addCommMonoid.{u, u, v, w} R R M N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6 (RingHom.id.{u} R (NonAssocRing.toNonAssocSemiring.{u} R (Ring.toNonAssocRing.{u} R (CommRing.toRing.{u} R _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u, u, u, v, w} R R R M N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{v} M _inst_2) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_3 _inst_6 (RingHom.id.{u} R (NonAssocRing.toNonAssocSemiring.{u} R (Ring.toNonAssocRing.{u} R (CommRing.toRing.{u} R _inst_1)))) (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) _inst_6 (smulCommClass_self.{u, w} R N (CommRing.toCommMonoid.{u} R _inst_1) (MulActionWithZero.toMulAction.{u, w} R N (Semiring.toMonoidWithZero.{u} R (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1))) (NegZeroClass.toZero.{w} N (SubNegZeroMonoid.toNegZeroClass.{w} N (SubtractionMonoid.toSubNegZeroMonoid.{w} N (SubtractionCommMonoid.toSubtractionMonoid.{w} N (AddCommGroup.toDivisionAddCommMonoid.{w} N _inst_5))))) (Module.toMulActionWithZero.{u, w} R N (Ring.toSemiring.{u} R (CommRing.toRing.{u} R _inst_1)) (AddCommGroup.toAddCommMonoid.{w} N _inst_5) _inst_6))))
+Case conversion may be inaccurate. Consider using '#align module.free.linear_map Module.Free.linearMapₓ'. -/
 instance Module.Free.linearMap [Module.Finite R M] [Module.Finite R N] :
     Module.Free R (M →ₗ[R] N) :=
   by
@@ -51,6 +57,7 @@ instance Module.Free.linearMap [Module.Finite R M] [Module.Finite R N] :
 
 variable {R}
 
+#print Module.Finite.linearMap /-
 instance Module.Finite.linearMap [Module.Finite R M] [Module.Finite R N] :
     Module.Finite R (M →ₗ[R] N) :=
   by
@@ -60,6 +67,7 @@ instance Module.Finite.linearMap [Module.Finite R M] [Module.Finite R N] :
     have f := (LinearMap.toMatrix (choose_basis R M) (choose_basis R N)).symm
     exact Module.Finite.of_surjective f.to_linear_map (LinearEquiv.surjective f)
 #align module.finite.linear_map Module.Finite.linearMap
+-/
 
 end CommRing
 
@@ -69,10 +77,22 @@ variable [AddCommGroup M] [Module.Finite ℤ M] [Module.Free ℤ M]
 
 variable [AddCommGroup N] [Module.Finite ℤ N] [Module.Free ℤ N]
 
+/- warning: module.finite.add_monoid_hom -> Module.Finite.addMonoidHom is a dubious translation:
+lean 3 declaration is
+  forall (M : Type.{u1}) (N : Type.{u2}) [_inst_1 : AddCommGroup.{u1} M] [_inst_2 : Module.Finite.{0, u1} Int M Int.semiring (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.intModule.{u1} M _inst_1)] [_inst_3 : Module.Free.{0, u1} Int M Int.semiring (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.intModule.{u1} M _inst_1)] [_inst_4 : AddCommGroup.{u2} N] [_inst_5 : Module.Finite.{0, u2} Int N Int.semiring (AddCommGroup.toAddCommMonoid.{u2} N _inst_4) (AddCommGroup.intModule.{u2} N _inst_4)] [_inst_6 : Module.Free.{0, u2} Int N Int.semiring (AddCommGroup.toAddCommMonoid.{u2} N _inst_4) (AddCommGroup.intModule.{u2} N _inst_4)], Module.Finite.{0, max u2 u1} Int (AddMonoidHom.{u1, u2} M N (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1)))) (AddMonoid.toAddZeroClass.{u2} N (SubNegMonoid.toAddMonoid.{u2} N (AddGroup.toSubNegMonoid.{u2} N (AddCommGroup.toAddGroup.{u2} N _inst_4))))) Int.semiring (AddMonoidHom.addCommMonoid.{u1, u2} M N (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} N _inst_4)) (AddMonoidHom.module.{0, u1, u2} Int M N Int.semiring (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1))) (AddCommGroup.toAddCommMonoid.{u2} N _inst_4) (AddCommGroup.intModule.{u2} N _inst_4))
+but is expected to have type
+  forall (M : Type.{u1}) (N : Type.{u2}) [_inst_1 : AddCommGroup.{u1} M] [_inst_2 : Module.Finite.{0, u1} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.intModule.{u1} M _inst_1)] [_inst_3 : Module.Free.{0, u1} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u1} M _inst_1) (AddCommGroup.intModule.{u1} M _inst_1)] [_inst_4 : AddCommGroup.{u2} N] [_inst_5 : Module.Finite.{0, u2} Int N Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} N _inst_4) (AddCommGroup.intModule.{u2} N _inst_4)] [_inst_6 : Module.Free.{0, u2} Int N Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{u2} N _inst_4) (AddCommGroup.intModule.{u2} N _inst_4)], Module.Finite.{0, max u2 u1} Int (AddMonoidHom.{u1, u2} M N (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1)))) (AddMonoid.toAddZeroClass.{u2} N (SubNegMonoid.toAddMonoid.{u2} N (AddGroup.toSubNegMonoid.{u2} N (AddCommGroup.toAddGroup.{u2} N _inst_4))))) Int.instSemiringInt (AddMonoidHom.addCommMonoid.{u1, u2} M N (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} N _inst_4)) (AddCommGroup.intModule.{max u1 u2} (AddMonoidHom.{u1, u2} M N (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1)))) (AddMonoid.toAddZeroClass.{u2} N (SubNegMonoid.toAddMonoid.{u2} N (AddGroup.toSubNegMonoid.{u2} N (AddCommGroup.toAddGroup.{u2} N _inst_4))))) (AddMonoidHom.addCommGroup.{u1, u2} M N (AddMonoid.toAddZeroClass.{u1} M (SubNegMonoid.toAddMonoid.{u1} M (AddGroup.toSubNegMonoid.{u1} M (AddCommGroup.toAddGroup.{u1} M _inst_1)))) _inst_4))
+Case conversion may be inaccurate. Consider using '#align module.finite.add_monoid_hom Module.Finite.addMonoidHomₓ'. -/
 instance Module.Finite.addMonoidHom : Module.Finite ℤ (M →+ N) :=
   Module.Finite.equiv (addMonoidHomLequivInt ℤ).symm
 #align module.finite.add_monoid_hom Module.Finite.addMonoidHom
 
+/- warning: module.free.add_monoid_hom -> Module.Free.addMonoidHom is a dubious translation:
+lean 3 declaration is
+  forall (M : Type.{v}) (N : Type.{w}) [_inst_1 : AddCommGroup.{v} M] [_inst_2 : Module.Finite.{0, v} Int M Int.semiring (AddCommGroup.toAddCommMonoid.{v} M _inst_1) (AddCommGroup.intModule.{v} M _inst_1)] [_inst_3 : Module.Free.{0, v} Int M Int.semiring (AddCommGroup.toAddCommMonoid.{v} M _inst_1) (AddCommGroup.intModule.{v} M _inst_1)] [_inst_4 : AddCommGroup.{w} N] [_inst_5 : Module.Finite.{0, w} Int N Int.semiring (AddCommGroup.toAddCommMonoid.{w} N _inst_4) (AddCommGroup.intModule.{w} N _inst_4)] [_inst_6 : Module.Free.{0, w} Int N Int.semiring (AddCommGroup.toAddCommMonoid.{w} N _inst_4) (AddCommGroup.intModule.{w} N _inst_4)], Module.Free.{0, max w v} Int (AddMonoidHom.{v, w} M N (AddMonoid.toAddZeroClass.{v} M (SubNegMonoid.toAddMonoid.{v} M (AddGroup.toSubNegMonoid.{v} M (AddCommGroup.toAddGroup.{v} M _inst_1)))) (AddMonoid.toAddZeroClass.{w} N (SubNegMonoid.toAddMonoid.{w} N (AddGroup.toSubNegMonoid.{w} N (AddCommGroup.toAddGroup.{w} N _inst_4))))) Int.semiring (AddMonoidHom.addCommMonoid.{v, w} M N (AddMonoid.toAddZeroClass.{v} M (SubNegMonoid.toAddMonoid.{v} M (AddGroup.toSubNegMonoid.{v} M (AddCommGroup.toAddGroup.{v} M _inst_1)))) (AddCommGroup.toAddCommMonoid.{w} N _inst_4)) (AddMonoidHom.module.{0, v, w} Int M N Int.semiring (SubNegMonoid.toAddMonoid.{v} M (AddGroup.toSubNegMonoid.{v} M (AddCommGroup.toAddGroup.{v} M _inst_1))) (AddCommGroup.toAddCommMonoid.{w} N _inst_4) (AddCommGroup.intModule.{w} N _inst_4))
+but is expected to have type
+  forall (M : Type.{v}) (N : Type.{w}) [_inst_1 : AddCommGroup.{v} M] [_inst_2 : Module.Finite.{0, v} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{v} M _inst_1) (AddCommGroup.intModule.{v} M _inst_1)] [_inst_3 : Module.Free.{0, v} Int M Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{v} M _inst_1) (AddCommGroup.intModule.{v} M _inst_1)] [_inst_4 : AddCommGroup.{w} N] [_inst_5 : Module.Finite.{0, w} Int N Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{w} N _inst_4) (AddCommGroup.intModule.{w} N _inst_4)] [_inst_6 : Module.Free.{0, w} Int N Int.instSemiringInt (AddCommGroup.toAddCommMonoid.{w} N _inst_4) (AddCommGroup.intModule.{w} N _inst_4)], Module.Free.{0, max w v} Int (AddMonoidHom.{v, w} M N (AddMonoid.toAddZeroClass.{v} M (SubNegMonoid.toAddMonoid.{v} M (AddGroup.toSubNegMonoid.{v} M (AddCommGroup.toAddGroup.{v} M _inst_1)))) (AddMonoid.toAddZeroClass.{w} N (SubNegMonoid.toAddMonoid.{w} N (AddGroup.toSubNegMonoid.{w} N (AddCommGroup.toAddGroup.{w} N _inst_4))))) Int.instSemiringInt (AddMonoidHom.addCommMonoid.{v, w} M N (AddMonoid.toAddZeroClass.{v} M (SubNegMonoid.toAddMonoid.{v} M (AddGroup.toSubNegMonoid.{v} M (AddCommGroup.toAddGroup.{v} M _inst_1)))) (AddCommGroup.toAddCommMonoid.{w} N _inst_4)) (AddCommGroup.intModule.{max v w} (AddMonoidHom.{v, w} M N (AddMonoid.toAddZeroClass.{v} M (SubNegMonoid.toAddMonoid.{v} M (AddGroup.toSubNegMonoid.{v} M (AddCommGroup.toAddGroup.{v} M _inst_1)))) (AddMonoid.toAddZeroClass.{w} N (SubNegMonoid.toAddMonoid.{w} N (AddGroup.toSubNegMonoid.{w} N (AddCommGroup.toAddGroup.{w} N _inst_4))))) (AddMonoidHom.addCommGroup.{v, w} M N (AddMonoid.toAddZeroClass.{v} M (SubNegMonoid.toAddMonoid.{v} M (AddGroup.toSubNegMonoid.{v} M (AddCommGroup.toAddGroup.{v} M _inst_1)))) _inst_4))
+Case conversion may be inaccurate. Consider using '#align module.free.add_monoid_hom Module.Free.addMonoidHomₓ'. -/
 instance Module.Free.addMonoidHom : Module.Free ℤ (M →+ N) :=
   letI : Module.Free ℤ (M →ₗ[ℤ] N) := Module.Free.linearMap _ _ _
   Module.Free.of_equiv (addMonoidHomLequivInt ℤ).symm
@@ -88,6 +108,7 @@ variable [AddCommGroup M] [Module R M] [Module.Free R M] [Module.Finite R M]
 
 variable [AddCommGroup N] [Module R N] [Module.Free R N] [Module.Finite R N]
 
+#print FiniteDimensional.finrank_linearMap /-
 /-- The finrank of `M →ₗ[R] N` is `(finrank R M) * (finrank R N)`. -/
 theorem FiniteDimensional.finrank_linearMap : finrank R (M →ₗ[R] N) = finrank R M * finrank R N :=
   by
@@ -97,9 +118,16 @@ theorem FiniteDimensional.finrank_linearMap : finrank R (M →ₗ[R] N) = finran
     simp_rw [h.finrank_eq, FiniteDimensional.finrank_matrix,
       FiniteDimensional.finrank_eq_card_chooseBasisIndex, mul_comm]
 #align finite_dimensional.finrank_linear_map FiniteDimensional.finrank_linearMap
+-/
 
 end CommRing
 
+/- warning: matrix.rank_vec_mul_vec -> Matrix.rank_vecMulVec is a dubious translation:
+lean 3 declaration is
+  forall {K : Type.{u1}} {m : Type.{u1}} {n : Type.{u1}} [_inst_1 : CommRing.{u1} K] [_inst_2 : StrongRankCondition.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_1))] [_inst_3 : Fintype.{u1} n] [_inst_4 : DecidableEq.{succ u1} n] (w : m -> K) (v : n -> K), LE.le.{succ u1} Cardinal.{u1} Cardinal.hasLe.{u1} (LinearMap.rank.{u1, u1, u1} K (n -> K) (m -> K) (CommRing.toRing.{u1} K _inst_1) (Pi.addCommGroup.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocRing.toAddCommGroup.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (CommRing.toRing.{u1} K _inst_1))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K 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(CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.module.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_3.{u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m))) => (Matrix.{u1, u1, u1} m n K) -> (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearEquiv.hasCoeToFun.{u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.module.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.Function.module.{u1, u1, u1} n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.Function.module.{u1, u1, u1} m K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_3.{u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Matrix.toLin'._proof_1.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.toLin'._proof_2.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.toLin'.{u1, u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m n _inst_3 (fun (a : n) (b : n) => _inst_4 a b)) (Matrix.vecMulVec.{u1, u1, u1} m n K (Distrib.toHasMul.{u1} K (Ring.toDistrib.{u1} K (CommRing.toRing.{u1} K _inst_1))) w v))) (OfNat.ofNat.{succ u1} Cardinal.{u1} 1 (OfNat.mk.{succ u1} Cardinal.{u1} 1 (One.one.{succ u1} Cardinal.{u1} Cardinal.hasOne.{u1})))
+but is expected to have type
+  forall {K : Type.{u1}} {m : Type.{u1}} {n : Type.{u1}} [_inst_1 : CommRing.{u1} K] [_inst_2 : StrongRankCondition.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_1))] [_inst_3 : Fintype.{u1} n] [_inst_4 : DecidableEq.{succ u1} n] (w : m -> K) (v : n -> K), LE.le.{succ u1} Cardinal.{u1} Cardinal.instLECardinal.{u1} (LinearMap.rank.{u1, u1, u1} K (n -> K) (m -> K) (CommRing.toRing.{u1} K _inst_1) (Pi.addCommGroup.{u1, u1} n (fun (ᾰ : n) => K) (fun (i : n) => Ring.toAddCommGroup.{u1} K (CommRing.toRing.{u1} K _inst_1))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.addCommGroup.{u1, u1} m (fun (ᾰ : m) => K) (fun (i : m) => Ring.toAddCommGroup.{u1} K (CommRing.toRing.{u1} K _inst_1))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (Matrix.{u1, u1, u1} m n K) (fun (_x : Matrix.{u1, u1, u1} m n K) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u1, u1, u1} m n K) => LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) _x) (SMulHomClass.toFunLike.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (SMulZeroClass.toSMul.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (AddMonoid.toZero.{u1} (Matrix.{u1, u1, u1} m n K) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (DistribSMul.toSMulZeroClass.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (AddMonoid.toAddZeroClass.{u1} (Matrix.{u1, u1, u1} m n K) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (DistribMulAction.toDistribSMul.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (Module.toDistribMulAction.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (SMulZeroClass.toSMul.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddMonoid.toZero.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (DistribSMul.toSMulZeroClass.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddMonoid.toAddZeroClass.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (DistribMulAction.toDistribSMul.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Module.toDistribMulAction.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{u1, u1, u1, u1} (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (MonoidWithZero.toMonoid.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} (Matrix.{u1, u1, u1} m n K) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))) (AddCommMonoid.toAddMonoid.{u1} (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Module.toDistribMulAction.{u1, u1} K (Matrix.{u1, u1, u1} m n K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Module.toDistribMulAction.{u1, u1} K (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (SemilinearMapClass.distribMulActionHomClass.{u1, u1, u1, u1} K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u1, u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (LinearEquiv.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u1, u1, u1, u1} K K (Matrix.{u1, u1, u1} m n K) (LinearMap.{u1, u1, u1, u1} K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (n -> K) (m -> K) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Matrix.addCommMonoid.{u1, u1, u1} m n K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (LinearMap.addCommMonoid.{u1, u1, u1, u1} K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Matrix.module.{u1, u1, u1, u1} m n K K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u1, u1} K K K (n -> K) (m -> K) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.addCommMonoid.{u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.addCommMonoid.{u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))) (Pi.module.{u1, u1, u1} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2103 : n) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : n) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Pi.module.{u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (fun (i : m) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))))) (fun (i : m) => Semiring.toModule.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (Pi.smulCommClass.{u1, u1, u1, u1} m (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2106 : m) => K) K K (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => Algebra.toSMul.{u1, u1} K K (CommRing.toCommSemiring.{u1} K _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (Algebra.id.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (fun (i : m) => smulCommClass_self.{u1, u1} K K (CommSemiring.toCommMonoid.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)) (MulActionWithZero.toMulAction.{u1, u1} K K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (CommMonoidWithZero.toZero.{u1} K (CommSemiring.toCommMonoidWithZero.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (MonoidWithZero.toMulActionWithZero.{u1} K (Semiring.toMonoidWithZero.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHom.id.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1))) (RingHomInvPair.ids.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_1)))))))) (Matrix.toLin'.{u1, u1, u1} K (CommRing.toCommSemiring.{u1} K _inst_1) m n _inst_3 (fun (a : n) (b : n) => _inst_4 a b)) (Matrix.vecMulVec.{u1, u1, u1} m n K (NonUnitalNonAssocRing.toMul.{u1} K (NonAssocRing.toNonUnitalNonAssocRing.{u1} K (Ring.toNonAssocRing.{u1} K (CommRing.toRing.{u1} K _inst_1)))) w v))) (OfNat.ofNat.{succ u1} Cardinal.{u1} 1 (One.toOfNat1.{succ u1} Cardinal.{u1} Cardinal.instOneCardinal.{u1}))
+Case conversion may be inaccurate. Consider using '#align matrix.rank_vec_mul_vec Matrix.rank_vecMulVecₓ'. -/
 theorem Matrix.rank_vecMulVec {K m n : Type u} [CommRing K] [StrongRankCondition K] [Fintype n]
     [DecidableEq n] (w : m → K) (v : n → K) : (Matrix.vecMulVec w v).toLin'.rank ≤ 1 :=
   by

mathlib commit https://github.com/leanprover-community/mathlib/commit/e05ead7993520a432bec94ac504842d90707ad63

@@ -4,12 +4,12 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Riccardo Brasca
 
 ! This file was ported from Lean 3 source module linear_algebra.free_module.finite.matrix
-! leanprover-community/mathlib commit 039a089d2a4b93c761b234f3e5f5aeb752bac60f
+! leanprover-community/mathlib commit b1c23399f01266afe392a0d8f71f599a0dad4f7b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.LinearAlgebra.Finrank
-import Mathbin.LinearAlgebra.FreeModule.Finite.Basic
+import Mathbin.LinearAlgebra.FreeModule.Finite.Rank
 import Mathbin.LinearAlgebra.Matrix.ToLin
 
 /-!
@@ -30,7 +30,9 @@ universe u v w
 
 variable (R : Type u) (M : Type v) (N : Type w)
 
-namespace Module.Free
+open Module.Free (chooseBasis)
+
+open FiniteDimensional (finrank)
 
 section CommRing
 
@@ -38,12 +40,13 @@ variable [CommRing R] [AddCommGroup M] [Module R M] [Module.Free R M]
 
 variable [AddCommGroup N] [Module R N] [Module.Free R N]
 
-instance linearMap [Module.Finite R M] [Module.Finite R N] : Module.Free R (M →ₗ[R] N) :=
+instance Module.Free.linearMap [Module.Finite R M] [Module.Finite R N] :
+    Module.Free R (M →ₗ[R] N) :=
   by
   cases subsingleton_or_nontrivial R
   · apply Module.Free.of_subsingleton'
   classical exact
-      of_equiv (LinearMap.toMatrix (Module.Free.chooseBasis R M) (Module.Free.chooseBasis R N)).symm
+      Module.Free.of_equiv (LinearMap.toMatrix (choose_basis R M) (choose_basis R N)).symm
 #align module.free.linear_map Module.Free.linearMap
 
 variable {R}
@@ -70,7 +73,7 @@ instance Module.Finite.addMonoidHom : Module.Finite ℤ (M →+ N) :=
   Module.Finite.equiv (addMonoidHomLequivInt ℤ).symm
 #align module.finite.add_monoid_hom Module.Finite.addMonoidHom
 
-instance addMonoidHom : Module.Free ℤ (M →+ N) :=
+instance Module.Free.addMonoidHom : Module.Free ℤ (M →+ N) :=
   letI : Module.Free ℤ (M →ₗ[ℤ] N) := Module.Free.linearMap _ _ _
   Module.Free.of_equiv (addMonoidHomLequivInt ℤ).symm
 #align module.free.add_monoid_hom Module.Free.addMonoidHom
@@ -79,27 +82,30 @@ end Integer
 
 section CommRing
 
-open FiniteDimensional
-
 variable [CommRing R] [StrongRankCondition R]
 
 variable [AddCommGroup M] [Module R M] [Module.Free R M] [Module.Finite R M]
 
 variable [AddCommGroup N] [Module R N] [Module.Free R N] [Module.Finite R N]
 
---TODO: this should follow from `linear_equiv.finrank_eq`, that is over a field.
 /-- The finrank of `M →ₗ[R] N` is `(finrank R M) * (finrank R N)`. -/
-theorem finrank_linear_hom : finrank R (M →ₗ[R] N) = finrank R M * finrank R N := by
+theorem FiniteDimensional.finrank_linearMap : finrank R (M →ₗ[R] N) = finrank R M * finrank R N :=
+  by
   classical
     letI := nontrivial_of_invariantBasisNumber R
     have h := LinearMap.toMatrix (choose_basis R M) (choose_basis R N)
-    let b := (Matrix.stdBasis _ _ _).map h.symm
-    rw [finrank, rank_eq_card_basis b, ← Cardinal.mk_fintype, Cardinal.mk_toNat_eq_card, finrank,
-      finrank, rank_eq_card_choose_basis_index, rank_eq_card_choose_basis_index,
-      Cardinal.mk_toNat_eq_card, Cardinal.mk_toNat_eq_card, Fintype.card_prod, mul_comm]
-#align module.free.finrank_linear_hom Module.Free.finrank_linear_hom
+    simp_rw [h.finrank_eq, FiniteDimensional.finrank_matrix,
+      FiniteDimensional.finrank_eq_card_chooseBasisIndex, mul_comm]
+#align finite_dimensional.finrank_linear_map FiniteDimensional.finrank_linearMap
 
 end CommRing
 
-end Module.Free
+theorem Matrix.rank_vecMulVec {K m n : Type u} [CommRing K] [StrongRankCondition K] [Fintype n]
+    [DecidableEq n] (w : m → K) (v : n → K) : (Matrix.vecMulVec w v).toLin'.rank ≤ 1 :=
+  by
+  rw [Matrix.vecMulVec_eq, Matrix.toLin'_mul]
+  refine' le_trans (LinearMap.rank_comp_le_left _ _) _
+  refine' (LinearMap.rank_le_domain _).trans_eq _
+  rw [rank_fun', Fintype.card_unit, Nat.cast_one]
+#align matrix.rank_vec_mul_vec Matrix.rank_vecMulVec
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/06a655b5fcfbda03502f9158bbf6c0f1400886f9

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Riccardo Brasca
 
 ! This file was ported from Lean 3 source module linear_algebra.free_module.finite.matrix
-! leanprover-community/mathlib commit bf2a9e0156cc11bf44893ea1b4b2da8ae655c901
+! leanprover-community/mathlib commit 039a089d2a4b93c761b234f3e5f5aeb752bac60f
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -94,7 +94,7 @@ theorem finrank_linear_hom : finrank R (M →ₗ[R] N) = finrank R M * finrank R
     letI := nontrivial_of_invariantBasisNumber R
     have h := LinearMap.toMatrix (choose_basis R M) (choose_basis R N)
     let b := (Matrix.stdBasis _ _ _).map h.symm
-    rw [finrank, dim_eq_card_basis b, ← Cardinal.mk_fintype, Cardinal.mk_toNat_eq_card, finrank,
+    rw [finrank, rank_eq_card_basis b, ← Cardinal.mk_fintype, Cardinal.mk_toNat_eq_card, finrank,
       finrank, rank_eq_card_choose_basis_index, rank_eq_card_choose_basis_index,
       Cardinal.mk_toNat_eq_card, Cardinal.mk_toNat_eq_card, Fintype.card_prod, mul_comm]
 #align module.free.finrank_linear_hom Module.Free.finrank_linear_hom

mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211

@@ -41,7 +41,7 @@ variable [AddCommGroup N] [Module R N] [Module.Free R N]
 instance linearMap [Module.Finite R M] [Module.Finite R N] : Module.Free R (M →ₗ[R] N) :=
   by
   cases subsingleton_or_nontrivial R
-  · apply Module.Free.ofSubsingleton'
+  · apply Module.Free.of_subsingleton'
   classical exact
       of_equiv (LinearMap.toMatrix (Module.Free.chooseBasis R M) (Module.Free.chooseBasis R N)).symm
 #align module.free.linear_map Module.Free.linearMap
@@ -72,7 +72,7 @@ instance Module.Finite.addMonoidHom : Module.Finite ℤ (M →+ N) :=
 
 instance addMonoidHom : Module.Free ℤ (M →+ N) :=
   letI : Module.Free ℤ (M →ₗ[ℤ] N) := Module.Free.linearMap _ _ _
-  Module.Free.ofEquiv (addMonoidHomLequivInt ℤ).symm
+  Module.Free.of_equiv (addMonoidHomLequivInt ℤ).symm
 #align module.free.add_monoid_hom Module.Free.addMonoidHom
 
 end Integer

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

Redefine these operations in terms of toENat.

@@ -89,7 +89,7 @@ theorem cardinal_mk_algHom_le_rank : #(M →ₐ[K] L) ≤ lift.{v} (Module.rank
     rw [lift_id, FiniteDimensional.rank_linearMap_self]
 
 theorem card_algHom_le_finrank : Nat.card (M →ₐ[K] L) ≤ finrank K M := by
-  convert toNat_le_of_le_of_lt_aleph0 ?_ (cardinal_mk_algHom_le_rank K M L)
+  convert toNat_le_toNat (cardinal_mk_algHom_le_rank K M L) ?_
   · rw [toNat_lift, finrank]
   · rw [lift_lt_aleph0]; have := Module.nontrivial K L; apply rank_lt_aleph0
 

LinearAlgebra/LinearIndependent: generalize linearIndependent_algHom_toLinearMap(') to allow different domain and codomain of the AlgHom.

LinearAlgebra/Basic: add LinearEquiv.congrLeft that works for two rings with commuting actions on the codomain.

LinearAlgebra/FreeModule/Finite/Matrix: generalize Module.Free.linearMap, Module.Finite.linearMap, and FiniteDimensional.finrank_linearMap to work with two different rings that may be noncommutative. Add FiniteDimensional.rank_linearMap, FiniteDimensional.(fin)rank_linearMap_self, and card/cardinal_mk_algHom_le_rank.

FieldTheory/Tower: remove the instance LinearMap.finite_dimensional'' which becomes redundant; mark finrank_linear_map' as deprecated (superseded by finrank_linearMap_self.

Co-authored-by: Junyan Xu <junyanxu.math@gmail.com>

@@ -4,6 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Riccardo Brasca
 -/
 import Mathlib.LinearAlgebra.Dimension.LinearMap
+import Mathlib.LinearAlgebra.FreeModule.StrongRankCondition
 
 #align_import linear_algebra.free_module.finite.matrix from "leanprover-community/mathlib"@"b1c23399f01266afe392a0d8f71f599a0dad4f7b"
 
@@ -21,80 +22,97 @@ We provide some instances for finite and free modules involving matrices.
 -/
 
 
-universe u v w
+universe u u' v w
 
-variable (R : Type u) (M : Type v) (N : Type w)
+variable (R : Type u) (S : Type u') (M : Type v) (N : Type w)
 
-open Module.Free (chooseBasis)
+open Module.Free (chooseBasis ChooseBasisIndex)
 
 open FiniteDimensional (finrank)
 
-section CommRing
+section Ring
 
-variable [CommRing R] [AddCommGroup M] [Module R M] [Module.Free R M]
+variable [Ring R] [Ring S] [AddCommGroup M] [Module R M] [Module.Free R M] [Module.Finite R M]
+variable [AddCommGroup N] [Module R N] [Module S N] [SMulCommClass R S N]
 
-variable [AddCommGroup N] [Module R N] [Module.Free R N]
+private noncomputable def linearMapEquivFun : (M →ₗ[R] N) ≃ₗ[S] ChooseBasisIndex R M → N :=
+  (chooseBasis R M).repr.congrLeft N S ≪≫ₗ (Finsupp.lsum S).symm ≪≫ₗ
+    LinearEquiv.piCongrRight fun _ ↦ LinearMap.ringLmapEquivSelf R S N
 
-instance Module.Free.linearMap [Module.Finite R M] [Module.Finite R N] :
-    Module.Free R (M →ₗ[R] N) := by
-  cases subsingleton_or_nontrivial R
-  · apply Module.Free.of_subsingleton'
-  classical exact
-      Module.Free.of_equiv (LinearMap.toMatrix (chooseBasis R M) (chooseBasis R N)).symm
+instance Module.Free.linearMap [Module.Free S N] : Module.Free S (M →ₗ[R] N) :=
+  Module.Free.of_equiv (linearMapEquivFun R S M N).symm
 #align module.free.linear_map Module.Free.linearMap
 
-variable {R}
-
-instance Module.Finite.linearMap [Module.Finite R M] [Module.Finite R N] :
-    Module.Finite R (M →ₗ[R] N) := by
-  cases subsingleton_or_nontrivial R
-  · infer_instance
-  classical
-    have f := (LinearMap.toMatrix (chooseBasis R M) (chooseBasis R N)).symm
-    exact Module.Finite.of_surjective f.toLinearMap (LinearEquiv.surjective f)
+instance Module.Finite.linearMap [Module.Finite S N] : Module.Finite S (M →ₗ[R] N) :=
+  Module.Finite.equiv (linearMapEquivFun R S M N).symm
 #align module.finite.linear_map Module.Finite.linearMap
 
-end CommRing
+variable [StrongRankCondition R] [StrongRankCondition S] [Module.Free S N]
 
-section Integer
+open Cardinal
+theorem FiniteDimensional.rank_linearMap :
+    Module.rank S (M →ₗ[R] N) = lift.{w} (Module.rank R M) * lift.{v} (Module.rank S N) := by
+  rw [(linearMapEquivFun R S M N).rank_eq, rank_fun_eq_lift_mul,
+    ← finrank_eq_card_chooseBasisIndex, ← finrank_eq_rank R, lift_natCast]
 
-variable [AddCommGroup M] [Module.Finite ℤ M] [Module.Free ℤ M]
+/-- The finrank of `M →ₗ[R] N` as an `S`-module is `(finrank R M) * (finrank S N)`. -/
+theorem FiniteDimensional.finrank_linearMap :
+    finrank S (M →ₗ[R] N) = finrank R M * finrank S N := by
+  simp_rw [finrank, rank_linearMap, toNat_mul, toNat_lift]
+#align finite_dimensional.finrank_linear_map FiniteDimensional.finrank_linearMap
 
-variable [AddCommGroup N] [Module.Finite ℤ N] [Module.Free ℤ N]
+variable [Module R S] [SMulCommClass R S S]
 
-instance Module.Finite.addMonoidHom : Module.Finite ℤ (M →+ N) :=
-  Module.Finite.equiv (addMonoidHomLequivInt ℤ).symm
-#align module.finite.add_monoid_hom Module.Finite.addMonoidHom
+theorem FiniteDimensional.rank_linearMap_self :
+    Module.rank S (M →ₗ[R] S) = lift.{u'} (Module.rank R M) := by
+  rw [rank_linearMap, rank_self, lift_one, mul_one]
 
-instance Module.Free.addMonoidHom : Module.Free ℤ (M →+ N) :=
-  letI : Module.Free ℤ (M →ₗ[ℤ] N) := Module.Free.linearMap _ _ _
-  Module.Free.of_equiv (addMonoidHomLequivInt ℤ).symm
-#align module.free.add_monoid_hom Module.Free.addMonoidHom
+theorem FiniteDimensional.finrank_linearMap_self : finrank S (M →ₗ[R] S) = finrank R M := by
+  rw [finrank_linearMap, finrank_self, mul_one]
 
-end Integer
+end Ring
 
-section CommRing
+section AlgHom
 
-variable [CommRing R] [StrongRankCondition R]
+variable (K M : Type*) (L : Type v) [CommRing K] [Ring M] [Algebra K M]
+  [Module.Free K M] [Module.Finite K M] [CommRing L] [IsDomain L] [Algebra K L]
 
-variable [AddCommGroup M] [Module R M] [Module.Free R M] [Module.Finite R M]
+instance Finite.algHom : Finite (M →ₐ[K] L) :=
+  (linearIndependent_algHom_toLinearMap K M L).finite
 
-variable [AddCommGroup N] [Module R N] [Module.Free R N] [Module.Finite R N]
+open Cardinal
 
-/-- The finrank of `M →ₗ[R] N` is `(finrank R M) * (finrank R N)`. -/
-theorem FiniteDimensional.finrank_linearMap :
-    finrank R (M →ₗ[R] N) = finrank R M * finrank R N := by
-  classical
-    letI := nontrivial_of_invariantBasisNumber R
-    have h := LinearMap.toMatrix (chooseBasis R M) (chooseBasis R N)
-    simp_rw [h.finrank_eq, FiniteDimensional.finrank_matrix,
-      FiniteDimensional.finrank_eq_card_chooseBasisIndex, mul_comm]
-#align finite_dimensional.finrank_linear_map FiniteDimensional.finrank_linearMap
+theorem cardinal_mk_algHom_le_rank : #(M →ₐ[K] L) ≤ lift.{v} (Module.rank K M) := by
+  convert (linearIndependent_algHom_toLinearMap K M L).cardinal_lift_le_rank
+  · rw [lift_id]
+  · have := Module.nontrivial K L
+    rw [lift_id, FiniteDimensional.rank_linearMap_self]
+
+theorem card_algHom_le_finrank : Nat.card (M →ₐ[K] L) ≤ finrank K M := by
+  convert toNat_le_of_le_of_lt_aleph0 ?_ (cardinal_mk_algHom_le_rank K M L)
+  · rw [toNat_lift, finrank]
+  · rw [lift_lt_aleph0]; have := Module.nontrivial K L; apply rank_lt_aleph0
 
-end CommRing
+end AlgHom
+
+section Integer
+
+variable [AddCommGroup M] [Module.Finite ℤ M] [Module.Free ℤ M] [AddCommGroup N]
+
+instance Module.Finite.addMonoidHom [Module.Finite ℤ N] : Module.Finite ℤ (M →+ N) :=
+  Module.Finite.equiv (addMonoidHomLequivInt ℤ).symm
+#align module.finite.add_monoid_hom Module.Finite.addMonoidHom
+
+instance Module.Free.addMonoidHom [Module.Free ℤ N] : Module.Free ℤ (M →+ N) :=
+  letI : Module.Free ℤ (M →ₗ[ℤ] N) := Module.Free.linearMap _ _ _ _
+  Module.Free.of_equiv (addMonoidHomLequivInt ℤ).symm
+#align module.free.add_monoid_hom Module.Free.addMonoidHom
+
+end Integer
 
-theorem Matrix.rank_vecMulVec {K m n : Type u} [CommRing K] [StrongRankCondition K] [Fintype n]
+theorem Matrix.rank_vecMulVec {K m n : Type u} [CommRing K] [Fintype n]
     [DecidableEq n] (w : m → K) (v : n → K) : (Matrix.vecMulVec w v).toLin'.rank ≤ 1 := by
+  nontriviality K
   rw [Matrix.vecMulVec_eq, Matrix.toLin'_mul]
   refine' le_trans (LinearMap.rank_comp_le_left _ _) _
   refine' (LinearMap.rank_le_domain _).trans_eq _

The files Mathlib.LinearAlgebra.FreeModule.Rank, Mathlib.LinearAlgebra.FreeModule.Finite.Rank, Mathlib.LinearAlgebra.Dimension and Mathlib.LinearAlgebra.Finrank were reorganized into a folder Mathlib.LinearAlgebra.Dimension, containing the following files

• Basic.lean: Contains the definition of Module.rank.
• Finrank.lean: Contains the definition of FiniteDimensional.finrank.
• StrongRankCondition.lean: Contains results about rank and finrank over rings satisfying strong rank condition
• Free.lean: Contains results about rank and finrank of free modules
• Finite.lean: Contains conditions or consequences for rank to be finite or zero
• Constructions.lean: Contains the calculation of the rank of various constructions.
• DivisionRing.lean: Contains results about rank and finrank of spaces over division rings.
• LinearMap.lean: Contains results about LinearMap.rank

API changes: IsNoetherian.rank_lt_aleph0 and FiniteDimensional.rank_lt_aleph0 are replaced with rank_lt_aleph0. Module.Free.finite_basis was renamed to Module.Finite.finite_basis. FiniteDimensional.finrank_eq_rank was renamed to finrank_eq_rank. rank_eq_cardinal_basis and rank_eq_cardinal_basis' were removed in favour of Basis.mk_eq_mk and Basis.mk_eq_mk''.

Co-authored-by: Andrew Yang <36414270+erdOne@users.noreply.github.com>

@@ -3,9 +3,7 @@ Copyright (c) 2021 Riccardo Brasca. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Riccardo Brasca
 -/
-import Mathlib.LinearAlgebra.Finrank
-import Mathlib.LinearAlgebra.FreeModule.Finite.Rank
-import Mathlib.LinearAlgebra.Matrix.ToLin
+import Mathlib.LinearAlgebra.Dimension.LinearMap
 
 #align_import linear_algebra.free_module.finite.matrix from "leanprover-community/mathlib"@"b1c23399f01266afe392a0d8f71f599a0dad4f7b"
 

• depends on: #5966

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

@@ -2,16 +2,13 @@
 Copyright (c) 2021 Riccardo Brasca. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Riccardo Brasca
-
-! This file was ported from Lean 3 source module linear_algebra.free_module.finite.matrix
-! leanprover-community/mathlib commit b1c23399f01266afe392a0d8f71f599a0dad4f7b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.LinearAlgebra.Finrank
 import Mathlib.LinearAlgebra.FreeModule.Finite.Rank
 import Mathlib.LinearAlgebra.Matrix.ToLin
 
+#align_import linear_algebra.free_module.finite.matrix from "leanprover-community/mathlib"@"b1c23399f01266afe392a0d8f71f599a0dad4f7b"
+
 /-!
 # Finite and free modules using matrices
 

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>

@@ -40,7 +40,6 @@ variable [CommRing R] [AddCommGroup M] [Module R M] [Module.Free R M]
 
 variable [AddCommGroup N] [Module R N] [Module.Free R N]
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 instance Module.Free.linearMap [Module.Finite R M] [Module.Finite R N] :
     Module.Free R (M →ₗ[R] N) := by
   cases subsingleton_or_nontrivial R
@@ -51,7 +50,6 @@ instance Module.Free.linearMap [Module.Finite R M] [Module.Finite R N] :
 
 variable {R}
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 instance Module.Finite.linearMap [Module.Finite R M] [Module.Finite R N] :
     Module.Finite R (M →ₗ[R] N) := by
   cases subsingleton_or_nontrivial R
@@ -88,7 +86,6 @@ variable [AddCommGroup M] [Module R M] [Module.Free R M] [Module.Finite R M]
 
 variable [AddCommGroup N] [Module R N] [Module.Free R N] [Module.Finite R N]
 
-set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 /-- The finrank of `M →ₗ[R] N` is `(finrank R M) * (finrank R N)`. -/
 theorem FiniteDimensional.finrank_linearMap :
     finrank R (M →ₗ[R] N) = finrank R M * finrank R N := by

This PR puts, with one exception, every single remaining by that lies all by itself on its own line to the previous line, thus matching the current behaviour of start-port.sh. The exception is when the by begins the second or later argument to a tuple or anonymous constructor; see https://github.com/leanprover-community/mathlib4/pull/3825#discussion_r1186702599.

Essentially this is s/\n *by$/ by/g, but with manual editing to satisfy the linter's max-100-char-line requirement. The Python style linter is also modified to catch these "isolated bys".

@@ -90,8 +90,8 @@ variable [AddCommGroup N] [Module R N] [Module.Free R N] [Module.Finite R N]
 
 set_option synthInstance.etaExperiment true in -- Porting note: gets around lean4#2074
 /-- The finrank of `M →ₗ[R] N` is `(finrank R M) * (finrank R N)`. -/
-theorem FiniteDimensional.finrank_linearMap : finrank R (M →ₗ[R] N) = finrank R M * finrank R N :=
-  by
+theorem FiniteDimensional.finrank_linearMap :
+    finrank R (M →ₗ[R] N) = finrank R M * finrank R N := by
   classical
     letI := nontrivial_of_invariantBasisNumber R
     have h := LinearMap.toMatrix (chooseBasis R M) (chooseBasis R N)

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Johan Commelin <johan@commelin.net>