Theorems · Theorem · ring theory
NonUnitalStarSubalgebra.toStarSubalgebra_toNonUnitalStarSubalgebra
∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : StarRing R] [inst_2 : Semiring A]
[inst_3 : StarRing A] [inst_4 : Algebra R A] [inst_5 : StarModule R A] (S : NonUnitalStarSubalgebra R A) (h1 : 1 ∈ S),
(S.toStarSubalgebra h1).toNonUnitalStarSubalgebra = S- Defined in
- Mathlib.Algebra.Star.Subalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- StarRingstatement and proof · cited by 1,686
- Star.starproof · cited by 1,082
- StarModulestatement and proof · cited by 570
- NonUnitalSubalgebraproof · cited by 215
- AddSubmonoid.toAddSubsemigroupproof · cited by 198
- AddSubsemigroup.carrierproof · cited by 198
- NonUnitalStarSubalgebrastatement and proof · cited by 196
- NonUnitalSubsemiring.toAddSubmonoidproof · cited by 56
- NonUnitalSubalgebra.toNonUnitalSubsemiringproof · cited by 33
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