Theorems · Theorem · ring theory

NonUnitalStarAlgHom.mk.inj

∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} {inst : Monoid R} {inst_1 : NonUnitalNonAssocSemiring A}
  {inst_2 : DistribMulAction R A} {inst_3 : Star A} {inst_4 : NonUnitalNonAssocSemiring B}
  {inst_5 : DistribMulAction R B} {inst_6 : Star B} {toNonUnitalAlgHom : A →ₙₐ[R] B}
  {map_star' : ∀ (a : A), toNonUnitalAlgHom.toFun (star a) = star (toNonUnitalAlgHom.toFun a)}
  {toNonUnitalAlgHom_1 : A →ₙₐ[R] B}
  {map_star'_1 : ∀ (a : A), toNonUnitalAlgHom_1.toFun (star a) = star (toNonUnitalAlgHom_1.toFun a)},
  { toNonUnitalAlgHom := toNonUnitalAlgHom, map_star' := map_star' } =
      { toNonUnitalAlgHom := toNonUnitalAlgHom_1, map_star' := map_star'_1 } →
    toNonUnitalAlgHom = toNonUnitalAlgHom_1

Defined in

Mathlib.Algebra.Star.StarAlgHom

Cited by

1 results in Mathlib

Foundations

Depth 18 from the axioms · uses no axioms