Theorems · Theorem · order theory
disjointed_le
∀ {α : Type u_1} {ι : Type u_2} [inst : GeneralizedBooleanAlgebra α] [inst_1 : Preorder ι]
[inst_2 : LocallyFiniteOrderBot ι] (f : ι → α), disjointed f ≤ f- Defined in
- Mathlib.Order.Disjointed
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- LocallyFiniteOrderBotstatement and proof · cited by 286
- GeneralizedBooleanAlgebrastatement and proof · cited by 204
- disjointedstatement · cited by 64
- disjointed_le_idproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- disjointed_subsetproof · cited by 14
- MeasureTheory.extend_iUnion_le_tsum_natproof · cited by 1
- disjoint_disjointed_of_ltproof · cited by 1
- Monotone.disjointed_succ_supproof · cited by 1
- Fintype.exists_disjointed_leproof · cited by 1
- MeasureTheory.Measure.measure_toMeasurable_inter_of_coverproof · cited by 1