Theorems · Theorem · commutative algebra

IsGaloisGroup.mulSemiringActionQuotient_smul_def

∀ (G : Type u_1) [inst : Group G] (B : Type u_3) (C : Type u_4) [inst_1 : Semiring C] [inst_2 : MulSemiringAction G C]
  (N : Subgroup G) [inst_3 : CommSemiring B] [inst_4 : Algebra B C] [inst_5 : FaithfulSMul B C]
  [inst_6 : MulSemiringAction G B] [SMulDistribClass G B C] [inst_8 : IsGaloisGroup (↥N) B C] [inst_9 : N.Normal]
  (g : G) (b : B), ↑g • b = g • b

Defined in

Mathlib.RingTheory.IsGaloisGroup.Basic

Cited by

0 results in Mathlib

Foundations

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

Assumes

GroupSemiringMulSemiringActionCommSemiringAlgebraFaithfulSMulMulSemiringActionSMulDistribClassIsGaloisGroupSubgroup.Normal