Theorems · Theorem · field theory
finGaloisGroupMap.map_id
∀ {k : Type u_1} {K : Type u_2} [inst : Field k] [inst_1 : Field K] [inst_2 : Algebra k K]
(L : (FiniteGaloisIntermediateField k K)ᵒᵖ),
finGaloisGroupMap (CategoryTheory.CategoryStruct.id L) =
CategoryTheory.CategoryStruct.id (Opposite.unop L).finGaloisGroup- Defined in
- Mathlib.FieldTheory.Galois.Profinite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- Algebrastatement and proof · cited by 11,388
- Oppositestatement and proof · cited by 8,081
- Fieldstatement and proof · cited by 7,404
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- Opposite.unopstatement and proof · cited by 2,231
- CategoryTheory.ConcreteCategory.extproof · cited by 107
- FiniteGaloisIntermediateFieldstatement and proof · cited by 32
- FiniteGaloisIntermediateField.toIntermediateFieldproof · cited by 25
- FiniteGrpstatement · cited by 11
- FiniteGaloisIntermediateField.finGaloisGroupstatement · cited by 2
- finGaloisGroupMapstatement · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- finGaloisGroupFunctorproof · cited by 2