Theorems · Definition · order theory
Finset.disjSups
{α : Type u_2} →
[DecidableEq α] →
[inst : SemilatticeSup α] → [inst_1 : OrderBot α] → [DecidableRel Disjoint] → Finset α → Finset α → Finset αThe finset of elements of the form a ⊔ b where a ∈ s, b ∈ t and a and b are disjoint.
- Defined in
- Mathlib.Data.Finset.Sups
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- 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
Cited by22
Results whose statement or proof uses this declaration.
- Finset.disjSups_subsetstatement · cited by 2
- Finset.disjSups_commstatement · cited by 2
- Finset.disjSups_right_commstatement and proof · cited by 1
- Finset.disjSups_subset_supsstatement and proof · cited by 1
- Finset.forall_disjSups_iffstatement · cited by 1
- Finset.disjSups_assocstatement · cited by 1
- Finset.disjSups_empty_rightstatement · cited by 0
- Finset.card_disjSups_lestatement · cited by 0
- Finset.disjSups_inter_subset_leftstatement · cited by 0
- Finset.disjSups_inter_subset_rightstatement · cited by 0
- Finset.disjSups_left_commstatement and proof · cited by 0
- Finset.disjSups_singletonstatement and proof · cited by 0