Theorems · Theorem · ring theory
NonUnitalStarSubalgebra.inclusion_injective
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalSemiring A] [inst_2 : StarRing A]
[inst_3 : Module R A] {S T : NonUnitalStarSubalgebra R A} (h : S ≤ T),
Function.Injective ⇑(NonUnitalStarSubalgebra.inclusion h)- Defined in
- Mathlib.Algebra.Star.NonUnitalSubalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- StarRingstatement and proof · cited by 1,686
- NonUnitalSemiringstatement and proof · cited by 339
- NonUnitalStarAlgHomstatement · cited by 208
- NonUnitalStarSubalgebrastatement and proof · cited by 196
- NonUnitalStarSubalgebra.inclusionstatement · cited by 12
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.