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Theorems · Theorem · order theory

Set.image_val_iInter

∀ {ι : Sort u_1} {α : Type u_2} {A : Set α} {t : ι → Set ↑A} [Nonempty ι],
  Subtype.val '' ⋂ i, t i = ⋂ i, Subtype.val '' t i
Defined in
Mathlib.Data.Set.Subset
Cited by
0 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Nonempty
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Set · cited by 53352SetSet.Elem · cited by 7166Set.ElemSet.image · cited by 5609Set.imageSet.iInter · cited by 1084Set.iInterFunction.Injective.injOn · cited by 280Injective.injOnSubtype.val_injective · cited by 232Subtype.val_injectiveSet.InjOn.image_iInter_eq · cited by 22InjOn.image_iInter_eqSet.image_val_iInterCITED BYCITES

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