Theorems · Theorem · field theory
Polynomial.leval_apply
∀ {R : Type u_1} [inst : Semiring R] (r : R) (f : Polynomial R), (Polynomial.leval r) f = Polynomial.eval r f- Defined in
- Mathlib.Algebra.Polynomial.Eval.SMul
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 97 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.
Cites7
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
- Polynomialstatement and proof · cited by 5,681
- Polynomial.evalstatement · cited by 796
- Polynomial.levalstatement and proof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Polynomial.taylor_coeffproof · cited by 4
- Polynomial.leval_coe_eq_smevalproof · cited by 0
- Polynomial.leval_eq_smeval.linearMapproof · cited by 0