Theorems · Definition · ring theory

NonUnitalStarAlgHom.rangeRestrict

{F : Type v'} →
  {R : Type u} →
    {A : Type v} →
      {B : Type w} →
        [inst : CommSemiring R] →
          [inst_1 : NonUnitalNonAssocSemiring A] →
            [inst_2 : Module R A] →
              [inst_3 : Star A] →
                [inst_4 : NonUnitalNonAssocSemiring B] →
                  [inst_5 : Module R B] →
                    [inst_6 : Star B] →
                      [inst_7 : FunLike F A B] →
                        [inst_8 : NonUnitalAlgHomClass F R A B] →
                          [inst_9 : StarHomClass F A B] → (f : F) → A →⋆ₙₐ[R] ↥(NonUnitalStarAlgHom.range f)

Restrict the codomain of a non-unital star algebra homomorphism f to f.range. This is the bundled version of Set.rangeFactorization.

Defined in

Mathlib.Algebra.Star.NonUnitalSubalgebra

Cited by

0 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringNonUnitalNonAssocSemiringModuleStarNonUnitalNonAssocSemiringModuleStarFunLikeNonUnitalAlgHomClassStarHomClass