Theorems · Theorem · field theory
Normal.isIntegral
∀ {F : Type u_1} {K : Type u_2} [inst : Field F] [inst_1 : Field K] [inst_2 : Algebra F K],
Normal F K → ∀ (x : K), IsIntegral F x- Defined in
- Mathlib.FieldTheory.Normal.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 118 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
- Normalstatement and proof · cited by 92
- Algebra.IsIntegral.isIntegralproof · cited by 86
Cited by6
Results whose statement or proof uses this declaration.
- normal_iffproof · cited by 7
- IsGalois.integralproof · cited by 2
- spectralNorm_eq_iSup_of_finiteDimensional_normalproof · cited by 2
- gal_X_pow_sub_C_isSolvable_auxproof · cited by 1
- Polynomial.Gal.splits_in_splittingField_of_compproof · cited by 1
- Normal.exists_isSplittingFieldproof · cited by 0