Theorems · Theorem · order theory
iSupIndep_fin_three
∀ {α : Type u_5} [inst : CompleteLattice α] {f : Fin 3 → α},
iSupIndep f ↔ Disjoint (f 0) (f 1 ⊔ f 2) ∧ Disjoint (f 1) (f 2 ⊔ f 0) ∧ Disjoint (f 2) (f 0 ⊔ f 1)- Defined in
- Mathlib.Order.SupIndep
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLattice
Around this declaration
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- iSupproof · cited by 2,415
- Disjointstatement and proof · cited by 2,201
- CompleteLatticestatement and proof · cited by 1,048
- iSup_congr_Propproof · cited by 247
- sup_of_le_leftproof · cited by 218
- Fintype.elemsproof · cited by 194
- Fintype.completeproof · cited by 192
- sup_commproof · cited by 165
- sup_of_le_rightproof · cited by 143
- iSupIndepstatement · cited by 100
- iSup_posproof · cited by 61
- iSup_negproof · cited by 49
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