Theorems · Theorem · field theory
Polynomial.aeval_subalgebra_coe
∀ {R : Type u} [inst : CommSemiring R] (g : Polynomial R) {A : Type u_3} [inst_1 : Semiring A] [inst_2 : Algebra R A]
(s : Subalgebra R A) (f : ↥s), ↑((Polynomial.aeval f) g) = (Polynomial.aeval ↑f) g- Defined in
- Mathlib.Algebra.Polynomial.AlgebraMap
- Cited by
- 2 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- AlgHomstatement · cited by 3,236
- Subalgebrastatement and proof · cited by 1,353
- Polynomial.aevalstatement · cited by 615
- Subalgebra.valproof · cited by 104
- Polynomial.aeval_algHom_applyproof · cited by 31
Cited by2
Results whose statement or proof uses this declaration.
- ContinuousMap.polynomial_comp_attachBoundproof · cited by 1