Theorems · Theorem · field theory
Polynomial.C_mul_X_eq_monomial
∀ {R : Type u} {a : R} [inst : Semiring R], Polynomial.C a * Polynomial.X = (Polynomial.monomial 1) a- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 103 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.
Cites11
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
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · 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.monomialstatement · cited by 256
- Polynomial.C_mul_X_pow_eq_monomialproof · cited by 53
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.support_C_mul_X_subsetproof · cited by 1
- Polynomial.toFinsupp_C_mul_Xproof · cited by 0
- Polynomial.derivative_C_mul_Xproof · cited by 0
- Polynomial.support_C_mul_Xproof · cited by 0