Theorems · Theorem · field theory
Polynomial.degree_div_le
∀ {R : Type u} [inst : Field R] (p q : Polynomial R), (p / q).degree ≤ p.degree- Defined in
- Mathlib.Algebra.Polynomial.FieldDivision
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- mul_commproof · cited by 2,262
- Polynomial.Cproof · cited by 1,598
- WithBotstatement and proof · cited by 1,498
- Polynomial.degreestatement and proof · cited by 643
- Polynomial.leadingCoeffproof · cited by 498
- Polynomial.divByMonicproof · cited by 77
- EuclideanDomain.div_zeroproof · cited by 17
- Polynomial.degree_mul_leadingCoeff_invproof · cited by 8
- Polynomial.div_defproof · cited by 5
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