Theorems · Theorem · order theory
Finset.disjSups_empty_right
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : SemilatticeSup α] [inst_2 : OrderBot α]
[inst_3 : DecidableRel Disjoint] {s : Finset α}, s.disjSups ∅ = ∅- Defined in
- Mathlib.Data.Finset.Sups
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Disjointstatement and proof · cited by 2,201
- SProd.sprodproof · cited by 1,750
- OrderBotstatement and proof · cited by 1,055
- Finset.imageproof · cited by 910
- SemilatticeSupstatement and proof · cited by 785
- Finset.filter.congr_simpproof · cited by 47
- Finset.filter_emptyproof · cited by 23
- Finset.disjSupsstatement · cited by 22
- Finset.product_emptyproof · cited by 7
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