Theorems · Theorem · commutative algebra

DistribMulAction.toLinearEquiv_symm_apply

∀ (R : Type u_1) {S : Type u_4} (M : Type u_5) [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  [inst_3 : Group S] [inst_4 : DistribMulAction S M] [inst_5 : SMulCommClass S R M] (s : S) (a : M),
  (DistribMulAction.toLinearEquiv R M s).symm a = s⁻¹ • a

Defined in

Mathlib.Algebra.Module.Equiv.Basic

Cited by

2 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModuleGroupDistribMulActionSMulCommClass