Theorems · Theorem · commutative algebra

IsGaloisGroup.algebraMap_ringEquivFixedPoints_symm_apply

∀ (G : Type u_1) (A : Type u_2) (B : Type u_4) [inst : Group G] [inst_1 : CommSemiring A] [inst_2 : Semiring B]
  [inst_3 : Algebra A B] [inst_4 : MulSemiringAction G B] [hA : IsGaloisGroup G A B] [inst_5 : FaithfulSMul A B]
  (x : ↥(FixedPoints.subsemiring B G)), (algebraMap A B) ((IsGaloisGroup.ringEquivFixedPoints G A B).symm x) = ↑x

Defined in

Mathlib.RingTheory.IsGaloisGroup.Defs

Cited by

6 results in Mathlib

Foundations

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

Assumes

GroupCommSemiringSemiringAlgebraMulSemiringActionIsGaloisGroupFaithfulSMul