Theorems · Theorem · ring theory
NonUnitalStarSubalgebra.inclusion_self
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalSemiring A] [inst_2 : StarRing A]
[inst_3 : Module R A] {S : NonUnitalStarSubalgebra R A},
NonUnitalAlgHomClass.toNonUnitalAlgHom (NonUnitalStarSubalgebra.inclusion ⋯) = NonUnitalAlgHom.id R ↥S- Defined in
- Mathlib.Algebra.Star.NonUnitalSubalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
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Cites13
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
- le_reflstatement · cited by 2,061
- StarRingstatement and proof · cited by 1,686
- NonUnitalSemiringstatement and proof · cited by 339
- MonoidHom.idstatement · cited by 323
- NonUnitalStarAlgHomstatement · cited by 208
- NonUnitalStarSubalgebrastatement and proof · cited by 196
- NonUnitalAlgHomstatement · cited by 148
- NonUnitalStarSubalgebra.inclusionstatement · cited by 12
- NonUnitalAlgHomClass.toNonUnitalAlgHomstatement · cited by 9
- NonUnitalAlgHom.extproof · cited by 7
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