Theorems · Theorem · ring theory

NonUnitalStarAlgebra.map_top

∀ {F : Type v'} {R : Type u} {A : Type v} {B : Type w} [inst : CommSemiring R] [inst_1 : StarRing R]
  [inst_2 : NonUnitalSemiring A] [inst_3 : StarRing A] [inst_4 : Module R A] [inst_5 : NonUnitalSemiring B]
  [inst_6 : StarRing B] [inst_7 : Module R B] [inst_8 : FunLike F A B] [inst_9 : NonUnitalAlgHomClass F R A B]
  [inst_10 : StarHomClass F A B] [inst_11 : IsScalarTower R A A] [inst_12 : SMulCommClass R A A]
  [inst_13 : StarModule R A] (f : F), NonUnitalStarSubalgebra.map f ⊤ = NonUnitalStarAlgHom.range f

Defined in

Mathlib.Algebra.Star.NonUnitalSubalgebra

Cited by

2 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringStarRingNonUnitalSemiringStarRingModuleNonUnitalSemiringStarRingModuleFunLikeNonUnitalAlgHomClassStarHomClassIsScalarTowerSMulCommClassStarModule