Theorems · Theorem · linear algebra

Module.Dual.eval_comp_comp_evalEquiv_eq

∀ (R : Type u_3) (M : Type u_4) [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  [inst_3 : Module.IsReflexive R M] {M' : Type u_6} [inst_4 : AddCommMonoid M'] [inst_5 : Module R M'] {f : M →ₗ[R] M'},
  Module.Dual.eval R M' ∘ₗ f ∘ₗ ↑(Module.evalEquiv R M).symm = f.dualMap.dualMap

Defined in

Mathlib.LinearAlgebra.Dual.Defs

Cited by

0 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleModule.IsReflexiveAddCommMonoidModule