Theorems · Definition · order theory
Function.invFunOn
{α : Type u_1} → {β : Type u_2} → [Nonempty α] → (α → β) → Set α → β → αConstruct the inverse for a function f on domain s. This function is a right inverse of f
on f '' s. For a computable version, see Function.Embedding.invOfMemRange.
- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 35 results in Mathlib
- Foundations
- Depth 12 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.
Cites1
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
Cited by37
Results whose statement or proof uses this declaration.
- Set.SurjOn.rightInvOn_invFunOnstatement · cited by 9
- Set.SurjOn.mapsTo_invFunOnstatement · cited by 7
- Function.invFunOn_injOn_imagestatement and proof · cited by 6
- Function.invFunOn_eqstatement · cited by 5
- Function.invFunOn_memstatement · cited by 5
- Set.BijOn.invOn_invFunOnstatement · cited by 5
- Set.BijOn.toPartialEquivproof · cited by 5
- Set.InjOn.leftInvOn_invFunOnstatement and proof · cited by 4
- Function.invFunOn_apply_eqstatement · cited by 3
- Function.invFunOn_posstatement · cited by 3
- Set.SurjOn.bijOn_subsetstatement and proof · cited by 3
- countable_image_lt_image_Ioi_withinproof · cited by 3