Theorems · Theorem · order theory
disjointed_subset
∀ {α : Type u_1} {ι : Type u_2} [inst : Preorder ι] [inst_1 : LocallyFiniteOrderBot ι] (f : ι → Set α) (i : ι),
disjointed f i ⊆ f i- Defined in
- Mathlib.Order.Disjointed
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 57 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.
- Setstatement and proof · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- LocallyFiniteOrderBotstatement and proof · cited by 286
- disjointedstatement · cited by 64
- disjointed_leproof · cited by 6
Cited by14
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_iUnion_leproof · cited by 39
- MeasureTheory.mem_spanningSetsIndexproof · cited by 6
- exists_partition_approximatesLinearOn_of_hasFDerivWithinAtproof · cited by 5
- Directed.measure_iUnionproof · cited by 5
- MeasureTheory.VectorMeasure.restrict_le_restrict_iUnionproof · cited by 3
- MeasureTheory.IsSetSemiring.disjointOfUnion_subset_of_memproof · cited by 2
- MeasureTheory.lintegral_abs_det_fderiv_le_addHaar_imageproof · cited by 1
- MeasureTheory.SeparableSpace.exists_measurable_partition_diam_leproof · cited by 1
- MeasureTheory.Measure.OuterRegular.of_restrictproof · cited by 1
- MeasureTheory.addContent_le_sum_of_subset_sUnionproof · cited by 1
- MeasureTheory.Measure.measure_isHaarMeasure_eq_smul_of_isEverywherePosproof · cited by 1