Theorems · Theorem · order theory
Finset.disjSups_inter_subset_right
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : SemilatticeSup α] [inst_2 : OrderBot α]
[inst_3 : DecidableRel Disjoint] {s t₁ t₂ : Finset α}, s.disjSups (t₁ ∩ t₂) ⊆ s.disjSups t₁ ∩ s.disjSups t₂- Defined in
- Mathlib.Data.Finset.Sups
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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.filterproof · cited by 949
- Finset.imageproof · cited by 910
- SemilatticeSupstatement and proof · cited by 785
- Finset.filter.congr_simpproof · cited by 47
- Finset.disjSupsstatement · cited by 22
- Finset.filter_inter_distribproof · cited by 4
- Finset.image_inter_subsetproof · cited by 4
- Finset.product_interproof · cited by 1
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