Theorems · Theorem · order theory
Function.Injective.injOn
∀ {α : Type u_1} {β : Type u_2} {f : α → β}, Function.Injective f → ∀ {s : Set α}, Set.InjOn f sAlias of Set.injOn_of_injective.
- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 280 results in Mathlib
- Foundations
- Depth 6 from the axioms, rests on 9 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.InjOnstatement · cited by 543
- Set.injOn_of_injectiveproof · cited by 28
Cited by282
Results whose statement or proof uses this declaration.
- Finset.sum_attachproof · cited by 54
- Finset.prod_attachproof · cited by 22
- Equiv.Set.imageproof · cited by 15
- Function.Injective.encard_imageproof · cited by 14
- Set.ncard_image_of_injectiveproof · cited by 11
- Multiset.count_map_eq_count'proof · cited by 9
- AddMonoidHom.map_finsumproof · cited by 9
- Function.Injective.tendsto_cofiniteproof · cited by 9
- Set.infinite_range_of_injectiveproof · cited by 9
- HasSum.sigmaproof · cited by 8
- LocallyFinite.comp_injectiveproof · cited by 8
- Set.Countable.preimageproof · cited by 7
Showing the 200 most cited of 282.