Theorems · Theorem · combinatorics
Finset.truncatedSup_of_notMem
∀ {α : Type u_1} [inst : SemilatticeSup α] {s : Finset α} {a : α} [inst_1 : DecidableLE α] [inst_2 : OrderTop α],
a ∉ lowerClosure ↑s → s.truncatedSup a = ⊤- Cited by
- 4 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Top.topstatement · cited by 9,680
- SetLike.coestatement and proof · cited by 8,199
- SemilatticeSupstatement and proof · cited by 785
- OrderTopstatement and proof · cited by 493
- LowerSetstatement · cited by 230
- lowerClosurestatement and proof · cited by 83
- Finset.truncatedSupstatement · cited by 19
Cited by4
Results whose statement or proof uses this declaration.
- Finset.card_truncatedSup_union_add_card_truncatedSup_infsproof · cited by 1
- Finset.truncatedSup_infs_of_notMemproof · cited by 1
- Finset.truncatedSup_union_of_notMemproof · cited by 1
- Finset.truncatedSup_emptyproof · cited by 0