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Theorems · Theorem · order theory

Set.iInter_univ

∀ {α : Type u_1} {ι : Sort u_5}, ⋂ x, Set.univ = Set.univ
Defined in
Mathlib.Data.Set.Lattice
Cited by
24 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.biInter_mem · cited by 22Filter.biInter_memProbabilityTheory.iIndepFun.isProbabilityMeasure · cited by 14iIndepFun.isProbabilityMe…ProbabilityTheory.iIndepFun_iff_map_fun_eq_pi_map · cited by 6ProbabilityTheory.iIndepF…Set.Finite.interior_biInter · cited by 5Finite.interior_biInterProbabilityTheory.Kernel.iIndepSets.iIndep · cited by 4iIndepSets.iIndepFilter.iInf_principal_finset · cited by 3Filter.iInf_principal_fin…ProbabilityTheory.Kernel.iIndepSets.ae_isProbabilityMeasure · cited by 3iIndepSets.ae_isProbabili…Dynamics.dynEntourage_univ · cited by 2Dynamics.dynEntourage_univDynamics.dynEntourage_zero · cited by 2Dynamics.dynEntourage_zeroisGδ_iff_eq_iInter_nat · cited by 2isGδ_iff_eq_iInter_natIsCompactSystem.insert_univ · cited by 2IsCompactSystem.insert_un…TopCat.isTopologicalBasis_cofiltered_limit · cited by 1TopCat.isTopologicalBasis…Finset.indicator_biUnion_eq_sum_powerset · cited by 1Finset.indicator_biUnion_…Submodule.coe_finsetInf · cited by 1Submodule.coe_finsetInfMulAction.IsBlock.of_subset · cited by 1IsBlock.of_subsetSet · cited by 53352SetSet.univ · cited by 3945Set.univSet.iInter · cited by 1084Set.iInteriInf_top · cited by 21iInf_topSet.iInter_univCITED BYCITES

Cites4

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Cited by24

Results whose statement or proof uses this declaration.