Theorems · Theorem · field theory

Polynomial.coe_aeval_mk_apply

∀ {R : Type u} {A : Type z} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] {p : Polynomial R}
  (x : A) {S : Subalgebra R A} (h : x ∈ S), ↑((Polynomial.aeval ⟨x, h⟩) p) = (Polynomial.aeval x) p

Defined in

Mathlib.Algebra.Polynomial.AlgebraMap

Cited by

6 results in Mathlib

Foundations

Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebra