Theorems · Theorem · commutative algebra

LinearMap.ringLmapEquivSelf_symm_apply

∀ (R : Type u_1) (S : Type u_4) (M : Type u_5) [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : AddCommMonoid M]
  [inst_3 : Module R M] [inst_4 : Module S M] [inst_5 : SMulCommClass R S M] (x : M),
  (LinearMap.ringLmapEquivSelf R S M).symm x = LinearMap.smulRight 1 x

Defined in

Mathlib.Algebra.Module.Equiv.Basic

Cited by

8 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Quot.sound

Assumes

SemiringSemiringAddCommMonoidModuleModuleSMulCommClass