Theorems · Theorem · ring theory
NonUnitalStarSubalgebra.toNonUnitalSubalgebra_injective
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : Module R A]
[inst_3 : Star A], Function.Injective NonUnitalStarSubalgebra.toNonUnitalSubalgebra- Defined in
- Mathlib.Algebra.Star.NonUnitalSubalgebra
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Starstatement and proof · cited by 496
- NonUnitalSubalgebrastatement and proof · cited by 215
- NonUnitalStarSubalgebrastatement and proof · cited by 196
- NonUnitalStarSubalgebra.toNonUnitalSubalgebrastatement and proof · cited by 37
- NonUnitalStarSubalgebra.extproof · cited by 7
- NonUnitalStarSubalgebra.mem_toNonUnitalSubalgebraproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- NonUnitalStarSubalgebra.toNonUnitalSubalgebra_injproof · cited by 0
- NonUnitalStarAlgebra.adjoin_eq_starClosure_adjoinproof · cited by 0
- NonUnitalStarAlgebra.toNonUnitalSubalgebra_eq_topproof · cited by 0