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Theorems · Theorem · order theory

Set.surjOn_iUnion

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

Dashed lines are statement dependencies; solid lines are citations in proofs.

Set.surjOn_iUnion_iUnion · cited by 2Set.surjOn_iUnion_iUnionSet.surjOn_iUnion₂ · cited by 0Set.surjOn_iUnion₂Set · cited by 53352SetSet.iUnion · cited by 2483Set.iUnionSet.SurjOn · cited by 186Set.SurjOnSet.forall_mem_range · cited by 135Set.forall_mem_rangeSet.surjOn_sUnion · cited by 1Set.surjOn_sUnionSet.surjOn_iUnionCITED BYCITES

Cites5

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Cited by2

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