Theorems · Theorem · nonassociative algebras

NonUnitalAlgHom.ext

∀ {R : Type u} {S : Type u₁} [inst : Monoid R] [inst_1 : Monoid S] {φ : R →* S} {A : Type v} {B : Type w}
  [inst_2 : NonUnitalNonAssocSemiring A] [inst_3 : DistribMulAction R A] [inst_4 : NonUnitalNonAssocSemiring B]
  [inst_5 : DistribMulAction S B] {f g : A →ₛₙₐ[φ] B}, (∀ (x : A), f x = g x) → f = g

Defined in

Mathlib.Algebra.Algebra.NonUnitalHom

Cited by

7 results in Mathlib

Foundations

Depth 19 from the axioms · uses Quot.sound

Assumes

MonoidMonoidNonUnitalNonAssocSemiringDistribMulActionNonUnitalNonAssocSemiringDistribMulAction