Theorems · Theorem · order theory
Set.SurjOn.rightInvOn_invFunOn
∀ {α : Type u_1} {β : Type u_2} {s : Set α} {t : Set β} {f : α → β} [inst : Nonempty α],
Set.SurjOn f s t → Set.RightInvOn (Function.invFunOn f s) f t- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nonempty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.SurjOnstatement and proof · cited by 186
- Set.RightInvOnstatement · cited by 47
- Function.invFunOnstatement · cited by 35
- Function.invFunOn_eqproof · cited by 5
Cited by9
Results whose statement or proof uses this declaration.
- Set.BijOn.invOn_invFunOnproof · cited by 5
- Set.SurjOn.bijOn_subsetproof · cited by 3
- IsMulFreimanIso.invFunOnproof · cited by 2
- IsAddFreimanIso.invFunOnproof · cited by 2
- Set.SurjOn.invOn_invFunOnproof · cited by 1
- eVariationOn.comp_eq_of_antitoneOnproof · cited by 1
- eVariationOn.comp_eq_of_monotoneOnproof · cited by 1
- Set.SurjOn.image_invFunOn_imageproof · cited by 0
- Set.SurjOn.image_invFunOn_image_of_subsetproof · cited by 0