Theorems · Theorem · field theory
IntermediateField.fixingSubgroup_bot
∀ {F : Type u_1} [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E], ⊥.fixingSubgroup = ⊤- Defined in
- Mathlib.FieldTheory.Galois.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- 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
- Algebra.algebraMapproof · cited by 4,706
- Subgroupstatement · cited by 3,593
- AlgEquivstatement and proof · cited by 1,681
- IntermediateFieldstatement · cited by 988
- Subgroup.extproof · cited by 108
- AlgEquiv.commutesproof · cited by 49
- IntermediateField.fixingSubgroupstatement · cited by 41
Cited by4
Results whose statement or proof uses this declaration.
- IsGalois.fixedField_topproof · cited by 2
- top_fixedByFiniteproof · cited by 0
- IntermediateField.restrictRestrictAlgEquivMapHom_surjectiveproof · cited by 0
- InfiniteGalois.fixedField_botproof · cited by 0