Theorems · Theorem · order theory
Finset.disjSups_subset
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : SemilatticeSup α] [inst_2 : OrderBot α]
[inst_3 : DecidableRel Disjoint] {s₁ s₂ t₁ t₂ : Finset α}, s₁ ⊆ s₂ → t₁ ⊆ t₂ → s₁.disjSups t₁ ⊆ s₂.disjSups t₂- Defined in
- Mathlib.Data.Finset.Sups
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 76 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
- Disjointstatement and proof · cited by 2,201
- OrderBotstatement and proof · cited by 1,055
- SemilatticeSupstatement and proof · cited by 785
- Finset.disjSupsstatement · cited by 22
- Finset.filter_subset_filterproof · cited by 11
- Finset.product_subset_productproof · cited by 11
- Finset.image_subset_imageproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- Finset.disjSups_subset_leftproof · cited by 0
- Finset.disjSups_subset_rightproof · cited by 0