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Theorems · Theorem · order theory

Set.infinite_of_injOn_mapsTo

∀ {α : Type u} {β : Type v} {s : Set α} {t : Set β} {f : α → β},
  Set.InjOn f s → Set.MapsTo f s t → s.Infinite → t.Infinite
Defined in
Mathlib.Data.Set.Finite.Basic
Cited by
1 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Set.Infinite.exists_ne_map_eq_of_mapsTo · cited by 4Infinite.exists_ne_map_eq…Set · cited by 53352SetSet.MapsTo · cited by 732Set.MapsToSet.InjOn · cited by 543Set.InjOnSet.Infinite · cited by 263Set.InfiniteSet.Infinite.mono · cited by 25Infinite.monoSet.mapsTo_iff_image_subset · cited by 18Set.mapsTo_iff_image_subs…Set.infinite_image_iff · cited by 7Set.infinite_image_iffSet.infinite_of_injOn_mapsToCITED BYCITES

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