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Theorems · Theorem · order theory

Set.iInter_comm

∀ {α : Type u_1} {ι : Sort u_5} {ι' : Sort u_6} (s : ι → ι' → Set α), ⋂ i, ⋂ i', s i i' = ⋂ i', ⋂ i, s i i'
Defined in
Mathlib.Data.Set.Lattice
Cited by
6 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.

Set.biInter_and' · cited by 17Set.biInter_and'MeasureTheory.measure_iInter_eq_iInf_measure_iInter_le · cited by 1MeasureTheory.measure_iIn…Filter.sInter_lift_sets · cited by 1Filter.sInter_lift_setsSet.biInter_iUnion · cited by 1Set.biInter_iUnionSet.biInter_and · cited by 0Set.biInter_andAlgebraicGeometry.Scheme.zeroLocus_iUnion · cited by 0Scheme.zeroLocus_iUnionSet · cited by 53352SetSet.iInter · cited by 1084Set.iInteriInf_comm · cited by 12iInf_commSet.iInter_commCITED BYCITES

Cites3

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Cited by6

Results whose statement or proof uses this declaration.