Theorems · Theorem · field theory
IsGalois.integral
∀ (F : Type u_1) [inst : Field F] {E : Type u_2} [inst_1 : Field E] [inst_2 : Algebra F E] [IsGalois F E] (x : E),
IsIntegral F x- Defined in
- Mathlib.FieldTheory.Galois.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- IsIntegralstatement · cited by 427
- IsGaloisstatement and proof · cited by 149
- Normal.isIntegralproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- IsGalois.card_aut_eq_finrankproof · cited by 16
- IsGalois.is_separable_splitting_fieldproof · cited by 2