Theorems · Theorem · linear algebra

Module.Basis.toDualEquiv.congr_simp

∀ {R : Type uR} {M : Type uM} {ι : Type uι} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  {inst_3 : DecidableEq ι} [inst_4 : DecidableEq ι] (b b_1 : Module.Basis ι R M),
  b = b_1 → ∀ [inst_5 : Finite ι], b.toDualEquiv = b_1.toDualEquiv

Defined in: Mathlib.LinearAlgebra.Dual.Basis
Cited by: 0 results in Mathlib
Foundations: Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommSemiring AddCommMonoid Module DecidableEq Finite

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Modulestatement and proof · cited by 20,661
RingHom.idstatement · cited by 18,349
AddCommMonoidstatement and proof · cited by 12,281
CommSemiringstatement and proof · cited by 10,911
LinearEquivstatement · cited by 3,317
Finitestatement and proof · cited by 3,029
Module.Basisstatement and proof · cited by 1,477
Module.Dualstatement · cited by 583
Module.Basis.toDualEquivstatement and proof · cited by 9

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