Theorems · Theorem · ring theory
StarMemClass.coe_star
∀ {R : Type u} {S : Type w} [inst : Star R] [inst_1 : SetLike S R] [hS : StarMemClass S R] (s : S) (x : ↥s),
↑(star x) = star ↑x- Defined in
- Mathlib.Algebra.Star.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- StarSetLikeStarMemClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLikestatement and proof · cited by 1,084
- Star.starstatement · cited by 1,082
- Starstatement and proof · cited by 496
- StarMemClassstatement and proof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- StarSubalgebra.coe_isUnitproof · cited by 1