Theorems · Theorem · ring theory

NonUnitalStarAlgHom.mem_range

∀ {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] (φ : F) {y : B},
  y ∈ NonUnitalStarAlgHom.range φ ↔ ∃ x, φ x = y

Defined in

Mathlib.Algebra.Star.NonUnitalSubalgebra

Cited by

0 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringNonUnitalNonAssocSemiringModuleStarNonUnitalNonAssocSemiringModuleStarFunLikeNonUnitalAlgHomClassStarHomClass