Theorems · Theorem · field theory
Polynomial.le_trailingDegree_mul
∀ {R : Type u} [inst : Semiring R] {p q : Polynomial R}, p.trailingDegree + q.trailingDegree ≤ (p * q).trailingDegree- Cited by
- 2 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.
Cites21
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
- ENatstatement · cited by 4,985
- WithTopproof · cited by 3,754
- WithTop.someproof · cited by 1,128
- Polynomial.coeffproof · cited by 1,045
- add_le_addproof · cited by 666
- LE.le.trans_eqproof · cited by 328
- Polynomial.supportproof · cited by 237
- Finset.HasAntidiagonal.antidiagonalproof · cited by 218
- Finset.HasAntidiagonal.mem_antidiagonalproof · cited by 51
- Polynomial.trailingDegreestatement · cited by 39
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.trailingDegree_mul'proof · cited by 1
- Polynomial.le_natTrailingDegree_mulproof · cited by 0