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Theorems · Theorem · order theory

Set.InjOn.rightInvOn_of_leftInvOn

∀ {α : Type u_1} {β : Type u_2} {s : Set α} {t : Set β} {f : α → β} {f' : β → α},
  Set.InjOn f s → Set.LeftInvOn f f' t → Set.MapsTo f s t → Set.MapsTo f' t s → Set.RightInvOn f f' s
Defined in
Mathlib.Data.Set.Function
Cited by
3 results in Mathlib
Foundations
Depth 6 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.image_eq_preimage_of_leftInvOn_injOn · cited by 2Set.image_eq_preimage_of_…IsAddFreimanIso.symm · cited by 1IsAddFreimanIso.symmIsMulFreimanIso.symm · cited by 1IsMulFreimanIso.symmSet · cited by 53352SetSet.MapsTo · cited by 732Set.MapsToSet.InjOn · cited by 543Set.InjOnSet.RightInvOn · cited by 47Set.RightInvOnSet.LeftInvOn · cited by 42Set.LeftInvOnInjOn.rightInvOn_of_leftInvOnCITED BYCITES

Cites5

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Cited by3

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