Theorems · Theorem · field theory
Polynomial.eraseLead_C_mul_X
∀ {R : Type u_1} [inst : Semiring R] (r : R), (Polynomial.C r * Polynomial.X).eraseLead = 0- Defined in
- Mathlib.Algebra.Polynomial.EraseLead
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.Cstatement and proof · cited by 1,598
- pow_oneproof · cited by 894
- Polynomial.eraseLeadstatement and proof · cited by 65
- Polynomial.eraseLead_C_mul_X_powproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.two_le_natDegree_of_nextCoeff_eraseLeadproof · cited by 1