Theorems · Theorem · commutative algebra
IsGaloisGroup.ringEquivFixedPoints.congr_simp
∀ (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], IsGaloisGroup.ringEquivFixedPoints G A B = IsGaloisGroup.ringEquivFixedPoints G A B
- Defined in
- Mathlib.RingTheory.IsGaloisGroup.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Groupstatement and proof · cited by 6,238
- RingEquivstatement · cited by 1,147
- Subsemiringstatement · cited by 456
- MulSemiringActionstatement and proof · cited by 423
- FaithfulSMulstatement and proof · cited by 340
- IsGaloisGroupstatement and proof · cited by 96
- IsGaloisGroup.ringEquivFixedPointsstatement and proof · cited by 9
- FixedPoints.subsemiringstatement · cited by 3
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