Theorems · Theorem · linear algebra

LinearMap.detAux.congr_simp

∀ {M : Type u_7} [inst : AddCommGroup M] {ι : Type u_8} {inst_1 : DecidableEq ι} [inst_2 : DecidableEq ι]
  [inst_3 : Fintype ι] {A : Type u_9} [inst_4 : CommRing A] [inst_5 : Module A M] (a a_1 : Trunc (Module.Basis ι A M)),
  a = a_1 → LinearMap.detAux a = LinearMap.detAux a_1

Defined in: Mathlib.LinearAlgebra.Determinant
Cited by: 0 results in Mathlib
Foundations: Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddCommGroup DecidableEq Fintype CommRing Module

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Modulestatement and proof · cited by 20,661
RingHom.idstatement · cited by 18,349
CommRingstatement and proof · cited by 17,173
AddCommGroupstatement and proof · cited by 12,871
LinearMapstatement · cited by 10,215
Fintypestatement and proof · cited by 7,736
MonoidHomstatement · cited by 3,629
Module.Basisstatement and proof · cited by 1,477
Truncstatement and proof · cited by 39
LinearMap.detAuxstatement and proof · cited by 10

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