Theorems · Definition · logic and foundations
Set.InjOn
{α : Type u} → {β : Type v} → (α → β) → Set α → Propf is injective on s if the restriction of f to s is injective.
- Defined in
- Mathlib.Data.Set.Operations
- Cited by
- 543 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 8 definitions · 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 by555
Results whose statement or proof uses this declaration.
- Function.Injective.injOnstatement · cited by 280
- Set.BijOnproof · cited by 168
- Finset.preimagestatement and proof · cited by 108
- Set.InjOn.monostatement and proof · cited by 61
- Set.BijOn.injOnstatement · cited by 42
- Finsupp.comapDomainstatement and proof · cited by 40
- Finset.card_image_of_injOnstatement and proof · cited by 36
- Matroid.mapstatement and proof · cited by 32
- Finset.coe_preimagestatement and proof · cited by 28
- Set.injOn_of_injectivestatement · cited by 28
- Finset.sum_imagestatement · cited by 26
- Set.InjOn.eq_iffstatement and proof · cited by 25
Showing the 200 most cited of 555.