Theorems · Theorem · field theory
Polynomial.eraseLead_zero
∀ {R : Type u_1} [inst : Semiring R], Polynomial.eraseLead 0 = 0- Defined in
- Mathlib.Algebra.Polynomial.EraseLead
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 84 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.
Cites5
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 · cited by 5,681
- Polynomial.natDegreeproof · cited by 1,105
- Polynomial.eraseLeadstatement · cited by 65
- Polynomial.erase_zeroproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- Polynomial.eraseLead_monomialproof · cited by 6
- Polynomial.signVariations_eraseLead_leproof · cited by 1
- Polynomial.content_eq_gcd_leadingCoeff_content_eraseLeadproof · cited by 1
- Polynomial.card_support_eraseLeadproof · cited by 1
- Polynomial.eraseLead_mul_eq_mul_eraseLead_of_nextCoeff_zeroproof · cited by 1
- Polynomial.signVariations_eraseLeadproof · cited by 0
- Polynomial.signVariations_le_eraseLead_succproof · cited by 0