Mathlib Map

Theorems · Theorem · field theory

Polynomial.mirror_eq_zero

∀ {R : Type u_1} [inst : Semiring R] {p : Polynomial R}, p.mirror = 0 ↔ p = 0
Defined in
Mathlib.Algebra.Polynomial.Mirror
Cited by
2 results in Mathlib
Foundations
Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Semiring
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Polynomial.natTrailingDegree_mul_mirror · cited by 2Polynomial.natTrailingDeg…Polynomial.natDegree_mul_mirror · cited by 2Polynomial.natDegree_mul_…Semiring · cited by 13802SemiringPolynomial · cited by 5681PolynomialPolynomial.mirror · cited by 32Polynomial.mirrorPolynomial.mirror_zero · cited by 5Polynomial.mirror_zeroPolynomial.mirror_mirror · cited by 5Polynomial.mirror_mirrorPolynomial.mirror_eq_zeroCITED BYCITES

Cites5

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

Cited by2

Results whose statement or proof uses this declaration.