Theorems · Theorem · field theory
Normal.out
∀ {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 ∧ (Polynomial.map (algebraMap F K) (minpoly F x)).Splits- Defined in
- Mathlib.FieldTheory.Normal.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Algebra.algebraMapstatement · cited by 4,706
- Polynomial.mapstatement · cited by 806
- minpolystatement · cited by 439
- IsIntegralstatement · cited by 427
- Polynomial.Splitsstatement · cited by 290
- Normalstatement · cited by 92
- normal_iffproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Normal.tower_top_of_normalproof · cited by 0