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Theorems · Theorem · field theory

Polynomial.IsMonicOfDegree.monic

∀ {R : Type u_1} [inst : Semiring R] {p : Polynomial R} {n : ℕ}, p.IsMonicOfDegree n → p.Monic
Defined in
Mathlib.Algebra.Polynomial.Degree.IsMonicOfDegree
Cited by
5 results in Mathlib
Foundations
Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Semiring
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Polynomial.IsMonicOfDegree.leadingCoeff_eq · cited by 5IsMonicOfDegree.leadingCo…Polynomial.IsMonicOfDegree.mul · cited by 2IsMonicOfDegree.mulPolynomial.IsMonicOfDegree.of_mul_left · cited by 2IsMonicOfDegree.of_mul_le…Polynomial.IsMonicOfDegree.of_mul_right · cited by 1IsMonicOfDegree.of_mul_ri…Polynomial.IsMonicOfDegree.ne_zero · cited by 1IsMonicOfDegree.ne_zeroSemiring · cited by 13802SemiringPolynomial · cited by 5681PolynomialPolynomial.Monic · cited by 461Polynomial.MonicPolynomial.IsMonicOfDegree · cited by 39Polynomial.IsMonicOfDegreeIsMonicOfDegree.monicCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.