Theorems · Definition · commutative algebra

IsAdjoinRoot.casesOn

{R : Type u} →
  {S : Type v} →
    [inst : CommSemiring R] →
      [inst_1 : Semiring S] →
        [inst_2 : Algebra R S] →
          {f : Polynomial R} →
            {motive : IsAdjoinRoot S f → Sort u_1} →
              (t : IsAdjoinRoot S f) →
                ((map : Polynomial R →ₐ[R] S) →
                    (map_surjective : Function.Surjective ⇑map) →
                      (ker_map : RingHom.ker map = Ideal.span {f}) →
                        motive { map := map, map_surjective := map_surjective, ker_map := ker_map }) →
                  motive t

Defined in

Mathlib.RingTheory.IsAdjoinRoot

Cited by

1 results in Mathlib

Foundations

Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebra