Theorems · Theorem · order theory
sSupIndep_iff_pairwiseDisjoint
∀ {α : Type u_1} [inst : Order.Frame α] {s : Set α}, sSupIndep s ↔ s.PairwiseDisjoint id- Defined in
- Mathlib.Order.SupIndep
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- Order.Frame
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.PairwiseDisjointstatement and proof · cited by 275
- Order.Framestatement and proof · cited by 88
- sSupIndepstatement · cited by 39
- sSupIndep.pairwiseDisjointproof · cited by 4
- disjoint_sSup_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Set.PairwiseDisjoint.sSupIndepproof · cited by 0