Theorems · Definition · logic and foundations
Set.LeftInvOn
{α : Type u} → {β : Type v} → (β → α) → (α → β) → Set α → Propg is a left inverse to f on s means that g (f x) = x for all x ∈ s.
- Defined in
- Mathlib.Data.Set.Operations
- Cited by
- 42 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
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 by44
Results whose statement or proof uses this declaration.
- Set.RightInvOnproof · cited by 47
- Set.InvOnproof · cited by 26
- Set.LeftInvOn.injOnstatement and proof · cited by 15
- PartialEquiv.leftInvOnstatement · cited by 9
- Finset.card_nbij'statement and proof · cited by 7
- Set.LeftInvOn.monostatement and proof · cited by 6
- OpenPartialHomeomorph.leftInvOnstatement · cited by 5
- Set.InjOn.leftInvOn_invFunOnstatement · cited by 4
- Function.LeftInverse.leftInvOnstatement · cited by 4
- Set.InjOn.rightInvOn_of_leftInvOnstatement and proof · cited by 3
- Set.LeftInvOn.eqOnstatement and proof · cited by 3
- Set.LeftInvOn.image_imagestatement and proof · cited by 3