Theorems · Theorem · order theory
Set.SurjOn.invOn_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.InvOn (Function.invFunOn f s) f (Function.invFunOn f s '' t) t- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 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.
Cites6
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.imagestatement and proof · cited by 5,609
- Set.SurjOnstatement and proof · cited by 186
- Function.invFunOnstatement and proof · cited by 35
- Set.InvOnstatement · cited by 26
- Set.SurjOn.rightInvOn_invFunOnproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Set.SurjOn.bijOn_subsetproof · cited by 3