Theorems · Theorem · ring theory

NonUnitalStarSubalgebra.map.congr_simp

∀ {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_1 : F),
  f = f_1 →
    ∀ (S S_1 : NonUnitalStarSubalgebra R A),
      S = S_1 → NonUnitalStarSubalgebra.map f S = NonUnitalStarSubalgebra.map f_1 S_1

Defined in

Mathlib.Algebra.Star.NonUnitalSubalgebra

Cited by

0 results in Mathlib

Foundations

Depth 22 from the axioms · uses no axioms

Assumes

CommSemiringNonUnitalNonAssocSemiringModuleStarNonUnitalNonAssocSemiringModuleStarFunLikeNonUnitalAlgHomClassStarHomClass