Theorems · Theorem · field theory
InfiniteGalois.fixedField_bot
∀ {k : Type u_1} {K : Type u_2} [inst : Field k] [inst_1 : Field K] [inst_2 : Algebra k K] [IsGalois k K],
IntermediateField.fixedField ⊤ = ⊥- Defined in
- Mathlib.FieldTheory.Galois.Infinite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Top.topstatement · cited by 9,680
- Fieldstatement and proof · cited by 7,404
- Bot.botstatement and proof · cited by 4,720
- Subgroupstatement and proof · cited by 3,593
- AlgEquivstatement and proof · cited by 1,681
- IntermediateFieldstatement and proof · cited by 988
- IsGaloisstatement and proof · cited by 149
- IntermediateField.fixedFieldstatement and proof · cited by 25
- IntermediateField.fixingSubgroup_botproof · cited by 4
- InfiniteGalois.fixedField_fixingSubgroupproof · cited by 3
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