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Theorems · Theorem · logic and foundations

Set.Finite.exists_bijOn_of_encard_eq

∀ {α : Type u_1} {β : Type u_2} {s : Set α} {t : Set β} [Nonempty β],
  s.Finite → s.encard = t.encard → ∃ f, Set.BijOn f s t
Defined in
Mathlib.Data.Set.Card
Cited by
0 results in Mathlib
Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Nonempty
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Set · cited by 53352SetSet.image · cited by 5609Set.imageENat · cited by 4985ENatSet.preimage · cited by 4946Set.preimageSet.Finite · cited by 1814Set.FiniteEq.le · cited by 605Eq.leSet.InjOn · cited by 543Set.InjOnSet.encard · cited by 327Set.encardSet.image_subset_iff · cited by 203Set.image_subset_iffSet.BijOn · cited by 168Set.BijOnSet.Finite.image · cited by 96Finite.imageSet.InjOn.bijOn_image · cited by 20InjOn.bijOn_imageSet.InjOn.encard_image · cited by 13InjOn.encard_imageSet.Finite.eq_of_subset_of_encard_le · cited by 8Finite.eq_of_subset_of_en…Set.Finite.exists_injOn_of_encard_le · cited by 1Finite.exists_injOn_of_en…Finite.exists_bijOn_of_encard…CITED BYCITES

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