Theorems · Theorem · field theory
isGalois_iff_isGalois_bot
∀ {F : Type u_1} {E : Type u_3} [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E],
IsGalois (↥⊥) E ↔ IsGalois F E- Defined in
- Mathlib.FieldTheory.Galois.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Fieldstatement and proof · cited by 7,404
- Bot.botstatement and proof · cited by 4,720
- IntermediateFieldstatement · cited by 988
- IsGaloisstatement and proof · cited by 149
- IsGalois.tower_top_of_isGaloisproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- IsGalois.of_fixedField_eq_botproof · cited by 2
- IsGaloisGroup.isGaloisproof · cited by 1