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Theorems · Theorem · order theory

Set.biInter_range

∀ {α : Type u_1} {β : Type u_2} {ι : Sort u_5} {f : ι → α} {g : α → Set β}, ⋂ x ∈ Set.range f, g x = ⋂ y, g (f y)
Defined in
Mathlib.Data.Set.Lattice.Image
Cited by
17 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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Set.iInter_iInter_eq' · cited by 22Set.iInter_iInter_eq'Subgroup.coe_iInf · cited by 3Subgroup.coe_iInfTopology.IsLower.isTopologicalBasis · cited by 3IsLower.isTopologicalBasisAddSubgroup.coe_iInf · cited by 2AddSubgroup.coe_iInfSubring.coe_iInf · cited by 2Subring.coe_iInfinterior_iInter_of_finite · cited by 2interior_iInter_of_finiteSubsemiring.coe_iInf · cited by 1Subsemiring.coe_iInfSubfield.coe_iInf · cited by 1Subfield.coe_iInfNonUnitalSubring.coe_iInf · cited by 1NonUnitalSubring.coe_iInfAddSubmonoid.coe_iInf · cited by 1AddSubmonoid.coe_iInfAddSubsemigroup.coe_iInf · cited by 1AddSubsemigroup.coe_iInfNonUnitalSubsemiring.coe_iInf · cited by 1NonUnitalSubsemiring.coe_…Subsemigroup.coe_iInf · cited by 1Subsemigroup.coe_iInfSubmonoid.coe_iInf · cited by 1Submonoid.coe_iInfAffineSubspace.coe_iInf · cited by 0AffineSubspace.coe_iInfSet · cited by 53352SetSet.range · cited by 4705Set.rangeSet.iInter · cited by 1084Set.iInteriInf_range · cited by 27iInf_rangeSet.biInter_rangeCITED BYCITES

Cites4

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Cited by17

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