Theorems · Theorem · linear algebra

LinearEquiv.flip_flip

∀ {R : Type u_1} {M : Type u_2} {N : Type u_3} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
  [inst_3 : AddCommGroup N] [inst_4 : Module R N] [inst_5 : Module.IsReflexive R M] (e : N ≃ₗ[R] Module.Dual R M)
  (h : optParam (Module.IsReflexive R N) ⋯), e.flip.flip = e

Defined in

Mathlib.LinearAlgebra.PerfectPairing.Basic

Cited by

3 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommGroupModuleModule.IsReflexive