Theorems · Theorem · order theory
disjoint_disjointed_of_lt
∀ {α : Type u_1} {ι : Type u_2} [inst : GeneralizedBooleanAlgebra α] [inst_1 : Preorder ι]
[inst_2 : LocallyFiniteOrderBot ι] (f : ι → α) {i j : ι}, i < j → Disjoint (disjointed f i) (disjointed f j)- Defined in
- Mathlib.Order.Disjointed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Disjointstatement · cited by 2,201
- LocallyFiniteOrderBotstatement and proof · cited by 286
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- Finset.le_supproof · cited by 112
- disjointedstatement · cited by 64
- Disjoint.mono_leftproof · cited by 50
- disjoint_sdiff_self_rightproof · cited by 22
- Finset.mem_Iioproof · cited by 20
- disjointed_leproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- disjoint_disjointedproof · cited by 25