Theorems · Theorem · ring theory
StarSubalgebra.map_id
∀ {R : Type u_2} {A : Type u_3} [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 : StarSubalgebra R A),
StarSubalgebra.map (StarAlgHom.id R A) S = S- Defined in
- Mathlib.Algebra.Star.Subalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 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.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- SetLike.coeproof · cited by 8,199
- StarRingstatement and proof · cited by 1,686
- StarModulestatement and proof · cited by 570
- SetLike.coe_injectiveproof · cited by 374
- StarSubalgebrastatement and proof · cited by 194
- Subalgebra.toSubsemiringproof · cited by 115
- Set.image_idproof · cited by 60
- StarSubalgebra.toSubalgebraproof · cited by 58
- StarSubalgebra.mapstatement and proof · cited by 24
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