Theorems · Definition · field theory
Polynomial.Monic
{R : Type u} → [inst : Semiring R] → Polynomial R → Propa polynomial is Monic if its leading coefficient is 1
- Defined in
- Mathlib.Algebra.Polynomial.Degree.Defs
- Cited by
- 461 results in Mathlib
- Foundations
- Depth 61 from the axioms, rests on 961 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- Polynomial.leadingCoeffproof · cited by 498
Cited by497
Results whose statement or proof uses this declaration.
- minpolyproof · cited by 439
- Polynomial.Monic.leadingCoeffstatement and proof · cited by 101
- minpoly.aevalproof · cited by 91
- Polynomial.modByMonicproof · cited by 82
- minpoly.monicstatement and proof · cited by 81
- Polynomial.divByMonicproof · cited by 77
- Polynomial.Monic.ne_zerostatement and proof · cited by 63
- Polynomial.Monic.mapstatement and proof · cited by 52
- Polynomial.monic_X_sub_Cstatement and proof · cited by 41
- RingHom.IsIntegralElemproof · cited by 33
- IsIntegral.tower_topproof · cited by 30
- Polynomial.degree_modByMonic_ltstatement and proof · cited by 27
Showing the 200 most cited of 497.