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Theorems · Theorem · order theory

Set.surjOn_iUnion_iUnion

∀ {α : Type u_1} {β : Type u_2} {ι : Sort u_5} {s : ι → Set α} {t : ι → Set β} {f : α → β},
  (∀ (i : ι), Set.SurjOn f (s i) (t i)) → Set.SurjOn f (⋃ i, s i) (⋃ i, t i)
Defined in
Mathlib.Data.Set.Lattice.Image
Cited by
2 results in Mathlib
Foundations
Depth 61 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.bijOn_iUnion · cited by 2Set.bijOn_iUnionSet.surjOn_iUnion₂_iUnion₂ · cited by 0Set.surjOn_iUnion₂_iUnion₂Set · cited by 53352SetSet.iUnion · cited by 2483Set.iUnionSet.SurjOn · cited by 186Set.SurjOnSet.subset_iUnion · cited by 81Set.subset_iUnionSet.Subset.refl · cited by 66Subset.reflSet.SurjOn.mono · cited by 13SurjOn.monoSet.surjOn_iUnion · cited by 2Set.surjOn_iUnionSet.surjOn_iUnion_iUnionCITED BYCITES

Cites7

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Cited by2

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