Theorems · Theorem · commutative algebra

Ideal.Quotient.stabilizerHom_apply

∀ {A : Type u_3} {B : Type u_4} [inst : CommRing A] [inst_1 : CommRing B] [inst_2 : Algebra A B] (P : Ideal B)
  (p : Ideal A) [inst_3 : P.LiesOver p] (G : Type u_6) [inst_4 : Group G] [inst_5 : MulSemiringAction G B]
  [inst_6 : SMulCommClass G A B] (g : ↥(MulAction.stabilizer G P)) (b : B),
  ((Ideal.Quotient.stabilizerHom P p G) g) ((Ideal.Quotient.mk P) b) = (Ideal.Quotient.mk P) (g • b)

Defined in

Mathlib.RingTheory.Ideal.Over

Cited by

0 results in Mathlib

Foundations

Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraIdeal.LiesOverGroupMulSemiringActionSMulCommClass