Theorems · Theorem · field theory
Polynomial.eval_mul_C_of_commute
∀ {R : Type u} {a : R} [inst : Semiring R] {p : Polynomial R} {x : R},
Commute a x → Polynomial.eval x (p * Polynomial.C a) = Polynomial.eval x p * a- Defined in
- Mathlib.Algebra.Polynomial.Eval.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 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
- RingHom.idproof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Cstatement and proof · cited by 1,598
- Polynomial.evalstatement and proof · cited by 796
- Commutestatement and proof · cited by 639
- Polynomial.eval₂_mul_C'proof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.eval_mul_X_sub_Cproof · cited by 2