Theorems · Theorem · order theory
iSup_disjointed
∀ {α : Type u_1} {ι : Type u_2} [inst : CompleteBooleanAlgebra α] [inst_1 : PartialOrder ι]
[inst_2 : LocallyFiniteOrderBot ι] (f : ι → α), ⨆ i, disjointed f i = ⨆ i, f i- Defined in
- Mathlib.Order.Disjointed
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- iSupstatement · cited by 2,415
- LocallyFiniteOrderBotstatement and proof · cited by 286
- disjointedstatement · cited by 64
- CompleteBooleanAlgebrastatement and proof · cited by 32
- partialSups_disjointedproof · cited by 5
- iSup_eq_iSup_of_partialSups_eq_partialSupsproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- iUnion_disjointedproof · cited by 16
- MeasureTheory.IsSetSemiring.sUnion_disjointOfUnionproof · cited by 1