Theorems · Definition · field theory

Polynomial.aevalTower

{R : Type u} →
  {S : Type v} →
    {A' : Type u_1} →
      [inst : CommSemiring R] →
        [inst_1 : CommSemiring A'] →
          [inst_2 : CommSemiring S] →
            [inst_3 : Algebra S R] → [inst_4 : Algebra S A'] → (R →ₐ[S] A') → A' → Polynomial R →ₐ[S] A'

Version of aeval for defining algebra homs out of R[X] over a smaller base ring than R.

Defined in

Mathlib.Algebra.Polynomial.AlgebraMap

Cited by

14 results in Mathlib

Foundations

Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringCommSemiringCommSemiringAlgebraAlgebra