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Theorems · Theorem · order theory

Function.Surjective.restrictPreimage

∀ {α : Type u_1} {β : Type u_2} (t : Set β) {f : α → β},
  Function.Surjective f → Function.Surjective (t.restrictPreimage f)

Alias of Set.restrictPreimage_surjective.

Defined in
Mathlib.Data.Set.Restrict
Cited by
3 results in Mathlib
Foundations
Depth 11 from the axioms · uses Classical.choice
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Around this declaration

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

isQuotientCoveringMap_npow · cited by 2isQuotientCoveringMap_npowIsOpenQuotientMap.restrictPreimage · cited by 1IsOpenQuotientMap.restric…Topology.IsQuotientMap.restrictPreimage_isOpen · cited by 1IsQuotientMap.restrictPre…Set · cited by 53352SetSet.Elem · cited by 7166Set.ElemSet.preimage · cited by 4946Set.preimageSet.restrictPreimage · cited by 84Set.restrictPreimageSet.restrictPreimage_surjective · cited by 4Set.restrictPreimage_surj…Surjective.restrictPreimageCITED BYCITES

Cites5

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Cited by3

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