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Theorems · Theorem · order theory

Set.exists_subset_bijOn

∀ {α : Type u_1} {β : Type u_2} (s : Set α) (f : α → β), ∃ s' ⊆ s, Set.BijOn f s' (f '' s)
Defined in
Mathlib.Data.Set.Function
Cited by
3 results in Mathlib
Foundations
Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Set.BijOn.exists_extend_of_subset · cited by 2BijOn.exists_extend_of_su…Set.exists_image_eq_and_injOn · cited by 1Set.exists_image_eq_and_i…Matroid.cRk_comap_lift · cited by 1Matroid.cRk_comap_liftSet · cited by 53352SetSet.image · cited by 5609Set.imageSet.BijOn · cited by 168Set.BijOnSet.surjOn_image · cited by 15Set.surjOn_imageSet.surjOn_iff_exists_bijOn_subset · cited by 2Set.surjOn_iff_exists_bij…Set.exists_subset_bijOnCITED BYCITES

Cites5

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Cited by3

Results whose statement or proof uses this declaration.