Theorems · Theorem · field theory
Polynomial.eval_unique
∀ {R : Type u} {A : Type z} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
(φ : Polynomial R →ₐ[R] A) (p : Polynomial R), φ p = Polynomial.eval₂ (algebraMap R A) (φ Polynomial.X) p- Defined in
- Mathlib.Algebra.Polynomial.AlgebraMap
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement and proof · cited by 5,681
- Algebra.algebraMapstatement · cited by 4,706
- AlgHomstatement and proof · cited by 3,236
- Polynomial.Xstatement and proof · cited by 1,639
- AlgHom.compproof · cited by 501
- Polynomial.eval₂statement · cited by 267
- Polynomial.aeval_defproof · cited by 51
- Polynomial.aeval_algHomproof · cited by 14
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