Theorems · Definition · logic and foundations
Set.RightInvOn
{α : Type u} → {β : Type v} → (β → α) → (α → β) → Set β → Propg is a right inverse to f on t if f (g x) = x for all x ∈ t.
- Defined in
- Mathlib.Data.Set.Operations
- Cited by
- 47 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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.LeftInvOnproof · cited by 42
Cited by50
Results whose statement or proof uses this declaration.
- Set.InvOnproof · cited by 26
- Set.SurjOn.rightInvOn_invFunOnstatement · cited by 9
- Finset.card_nbij'statement and proof · cited by 7
- QuasispectrumRestricts.rightInvOnstatement · cited by 6
- PartialEquiv.EqOnSource.symm'proof · cited by 4
- SpectrumRestricts.rightInvOnstatement · cited by 4
- PartialEquiv.rightInvOnstatement · cited by 3
- Commute.mul_nonnegproof · cited by 3
- Set.InjOn.rightInvOn_of_leftInvOnstatement · cited by 3
- Set.RightInvOn.eqOnstatement and proof · cited by 3
- ModelWithCorners.rightInvOnstatement · cited by 3
- Set.RightInvOn.surjOnstatement and proof · cited by 3