Theorems · Theorem · commutative algebra
IsGaloisGroup.top_iff
∀ {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], IsGaloisGroup (↥⊤) A B ↔ IsGaloisGroup G A B- Defined in
- Mathlib.RingTheory.IsGaloisGroup.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
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Cites10
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
- Top.topstatement and proof · cited by 9,680
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- MulSemiringActionstatement and proof · cited by 423
- IsGaloisGroupstatement · cited by 96
- Subgroup.topEquivproof · cited by 10
- IsGaloisGroup.iff_of_mulEquivproof · cited by 1
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