Theorems · Theorem · ring theory
mem_of_star_mem
∀ {S : Type u_1} {R : Type u_2} [inst : InvolutiveStar R] [inst_1 : SetLike S R] [StarMemClass S R] {s : S} {r : R},
star r ∈ s → r ∈ s- Defined in
- Mathlib.Algebra.Star.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
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Cites6
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 and proof · cited by 1,082
- star_starproof · cited by 135
- InvolutiveStarstatement and proof · cited by 52
- StarMemClassstatement and proof · cited by 21
- StarMemClass.star_memproof · cited by 16
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