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Theorems · Theorem · order theory

Set.union_iInter

∀ {β : Type u_2} {ι : Sort u_5} (s : Set β) (t : ι → Set β), s ∪ ⋂ i, t i = ⋂ i, s ∪ t i
Defined in
Mathlib.Data.Set.Lattice
Cited by
4 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Filter.mem_iInf · cited by 1Filter.mem_iInfSet.iInter₂_union_iInter₂ · cited by 0Set.iInter₂_union_iInter₂Set.iInter_union_iInter · cited by 0Set.iInter_union_iInterSet.union_iInter₂ · cited by 0Set.union_iInter₂Set · cited by 53352SetSet.iInter · cited by 1084Set.iIntersup_iInf_eq · cited by 6sup_iInf_eqSet.union_iInterCITED BYCITES

Cites3

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Cited by4

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