Theorems · Theorem · ring theory
NonUnitalStarSubalgebraClass.subtype_apply
∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocSemiring A] [inst_2 : Star A]
[inst_3 : Module R A] {S : Type w''} [inst_4 : SetLike S A] [inst_5 : NonUnitalSubsemiringClass S A]
[hSR : SMulMemClass S R A] [inst_6 : StarMemClass S A] {s : S} (x : ↥s),
(NonUnitalStarSubalgebraClass.subtype s) x = ↑x- Defined in
- Mathlib.Algebra.Star.NonUnitalSubalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- SetLikestatement and proof · cited by 1,084
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Starstatement and proof · cited by 496
- NonUnitalStarAlgHomstatement · cited by 208
- SMulMemClassstatement and proof · cited by 77
- NonUnitalSubsemiringClassstatement and proof · cited by 22
- StarMemClassstatement and proof · cited by 21
- NonUnitalStarSubalgebraClass.subtypestatement · cited by 8
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.