Theorems · Theorem · field theory
Polynomial.Monic.normalize_eq_self
∀ {R : Type u} [inst : CommRing R] [inst_1 : NoZeroDivisors R] [inst_2 : NormalizationMonoid R] {p : Polynomial R},
p.Monic → normalize p = p- Defined in
- Mathlib.Algebra.Polynomial.FieldDivision
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Semiringproof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- mul_oneproof · cited by 3,885
- Units.valproof · cited by 1,966
- Polynomial.Cproof · cited by 1,598
- NoZeroDivisorsstatement and proof · cited by 545
- Polynomial.Monicstatement and proof · cited by 461
- NormalizationMonoidstatement and proof · cited by 165
- normalizestatement · cited by 137
- Polynomial.Monic.leadingCoeffproof · cited by 101
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.normalize_eq_self_iff_monicproof · cited by 2