Theorems · Theorem · field theory
Polynomial.trailingDegree_mul
∀ {R : Type u} [inst : Semiring R] [NoZeroDivisors R] {p q : Polynomial R},
(p * q).trailingDegree = p.trailingDegree + q.trailingDegree- Defined in
- Mathlib.Algebra.Polynomial.RingDivision
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringNoZeroDivisors
Around this declaration
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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
- Top.topproof · cited by 9,680
- Polynomialstatement and proof · cited by 5,681
- ENatstatement and proof · cited by 4,985
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClass.zero_mulproof · cited by 1,625
- NoZeroDivisorsstatement and proof · cited by 545
- mul_ne_zeroproof · cited by 178
- Polynomial.natTrailingDegreeproof · cited by 87
- top_addproof · cited by 55
- add_topproof · cited by 49
- Polynomial.trailingDegreestatement and proof · cited by 39
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