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Theorems · Theorem · order theory

Set.image_iInter_subset

∀ {α : Type u_1} {β : Type u_2} {ι : Sort u_5} (s : ι → Set α) (f : α → β), f '' ⋂ i, s i ⊆ ⋂ i, f '' s i
Defined in
Mathlib.Data.Set.Lattice.Image
Cited by
3 results in Mathlib
Foundations
Depth 62 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.InjOn.image_iInter_eq · cited by 22InjOn.image_iInter_eqSet.smul_set_iInter_subset · cited by 1Set.smul_set_iInter_subsetSet.vadd_set_iInter_subset · cited by 0Set.vadd_set_iInter_subsetSet · cited by 53352SetSet.image · cited by 5609Set.imageSet.iInter · cited by 1084Set.iInterSet.mapsTo_image · cited by 71Set.mapsTo_imageSet.MapsTo.image_subset · cited by 49MapsTo.image_subsetSet.mapsTo_iInter_iInter · cited by 3Set.mapsTo_iInter_iInterSet.image_iInter_subsetCITED BYCITES

Cites6

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Cited by3

Results whose statement or proof uses this declaration.