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Theorems · Theorem · order theory

Set.mapsTo_iInter

∀ {α : Type u_1} {β : Type u_2} {ι : Sort u_5} {s : Set α} {t : ι → Set β} {f : α → β},
  Set.MapsTo f s (⋂ i, t i) ↔ ∀ (i : ι), Set.MapsTo f s (t i)
Defined in
Mathlib.Data.Set.Lattice.Image
Cited by
1 results in Mathlib
Foundations
Depth 11 from the axioms · uses propext, Quot.sound
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Around this declaration

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Set.mapsTo_iInter_iInter · cited by 3Set.mapsTo_iInter_iInterSet · cited by 53352SetSet.iInter · cited by 1084Set.iInterSet.MapsTo · cited by 732Set.MapsToSet.forall_mem_range · cited by 135Set.forall_mem_rangeSet.mapsTo_sInter · cited by 1Set.mapsTo_sInterSet.mapsTo_iInterCITED BYCITES

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Cited by1

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