Theorems · Theorem · order theory
Finset.sups_subset_self
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : SemilatticeSup α] {s : Finset α}, s ⊻ s ⊆ s ↔ SupClosed ↑s- Defined in
- Mathlib.Data.Finset.Sups
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqSemilatticeSup
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement · cited by 8,199
- SemilatticeSupstatement and proof · cited by 785
- HasSups.supsstatement · cited by 103
- Finset.hasSupsstatement · cited by 61
- SupClosedstatement · cited by 57
- Finset.sups_subset_iffproof · cited by 1
Cited by0
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