Theorems · Theorem · field theory
Polynomial.degree_normalize
∀ {R : Type u} [inst : Field R] {p : Polynomial R} [inst_1 : DecidableEq R], (normalize p).degree = p.degree- Defined in
- Mathlib.Algebra.Polynomial.FieldDivision
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- add_zeroproof · cited by 2,707
- WithBotstatement · cited by 1,498
- Polynomial.degreestatement and proof · cited by 643
- Polynomial.leadingCoeffproof · cited by 498
- normalizestatement · cited by 137
- NormalizationMonoid.normUnitproof · cited by 33
- Polynomial.degree_mulproof · cited by 25
- Polynomial.degree_Cproof · cited by 20
- Polynomial.coe_normUnitproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.prime_of_degree_eq_oneproof · cited by 1