Theorems · Theorem · commutative algebra

Ideal.stabilizerEquiv_symm_apply_smul

∀ {M : Type u_1} {R : Type u_3} [inst : Group M] [inst_1 : Semiring R] [inst_2 : MulSemiringAction M R] {N : Type u_4}
  [inst_3 : Group N] [inst_4 : MulSemiringAction N R] (I : Ideal R) (e : M ≃* N)
  (he : ∀ (m : M) (x : R), e m • x = m • x) (n : ↥(MulAction.stabilizer N I)) (x : R),
  (I.stabilizerEquiv e he).symm n • x = n • x

Defined in

Mathlib.RingTheory.Ideal.Pointwise

Cited by

1 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupSemiringMulSemiringActionGroupMulSemiringAction