Theorems · Theorem · field theory
Polynomial.card_support_mul_le
∀ {R : Type u} [inst : Semiring R] {p q : Polynomial R}, (p * q).support.card ≤ p.support.card * q.support.card- Defined in
- Mathlib.Algebra.Polynomial.Coeff
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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.
- Semiringstatement and proof · cited by 13,802
- Finsetproof · cited by 13,712
- Polynomialstatement and proof · cited by 5,681
- Finset.cardstatement and proof · cited by 2,327
- le_reflproof · cited by 2,061
- Finsupp.supportproof · cited by 828
- AddMonoidAlgebraproof · cited by 649
- le_imp_le_of_le_of_leproof · cited by 576
- AddMonoidAlgebra.coeffproof · cited by 365
- Polynomial.supportstatement · cited by 237
- Finset.card_le_cardproof · cited by 118
- Polynomial.toFinsuppproof · cited by 64
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.eraseLead_mul_eq_mul_eraseLead_of_nextCoeff_zeroproof · cited by 1