Theorems · Theorem · field theory
Polynomial.natSepDegree_map
∀ {E : Type v} [inst : Field E] (K : Type w) [inst_1 : Field K] (f : Polynomial E) (i : E →+* K),
(Polynomial.map i f).natSepDegree = f.natSepDegree- Defined in
- Mathlib.FieldTheory.SeparableDegree
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebraproof · cited by 11,388
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Algebra.algebraMapproof · cited by 4,706
- Finset.cardproof · cited by 2,327
- RingHom.compproof · cited by 899
- Polynomial.mapstatement and proof · cited by 806
- RingHom.toAlgebraproof · cited by 337
- Polynomial.rootsproof · cited by 264
- Multiset.toFinsetproof · cited by 230
- IsAlgClosedproof · cited by 150
Cited by1
Results whose statement or proof uses this declaration.
- PerfectField.splits_of_natSepDegree_eq_oneproof · cited by 0