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Theorems · Theorem · order theory

Set.BijOn.bijective

∀ {α : Type u_1} {β : Type u_2} {s : Set α} {t : Set β} {f : α → β} (h : Set.BijOn f s t),
  Function.Bijective (Set.MapsTo.restrict f s t ⋯)
Defined in
Mathlib.Data.Set.Function
Cited by
2 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
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Around this declaration

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

Set.Finite.of_finite_image · cited by 20Finite.of_finite_imageSet.BijOn.equiv · cited by 5BijOn.equivFinite.Set.finite_of_finite_image · cited by 0Set.finite_of_finite_imageSet · cited by 53352SetSet.Elem · cited by 7166Set.ElemSet.image · cited by 5609Set.imageFunction.Bijective · cited by 863Function.BijectiveSet.BijOn · cited by 168Set.BijOnSet.MapsTo.restrict · cited by 57MapsTo.restrictSet.BijOn.injOn · cited by 42BijOn.injOnSet.BijOn.mapsTo · cited by 42BijOn.mapsToSet.BijOn.surjOn · cited by 31BijOn.surjOnBijOn.bijectiveCITED BYCITES

Cites9

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Cited by3

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