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Theorems · Theorem · order theory

Set.InjOn.ne_iff

∀ {α : Type u_1} {β : Type u_2} {s : Set α} {f : α → β} {x y : α}, Set.InjOn f s → x ∈ s → y ∈ s → (f x ≠ f y ↔ x ≠ y)
Defined in
Mathlib.Data.Set.Function
Cited by
3 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
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Around this declaration

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Set.InjOn.ne · cited by 9InjOn.neReal.log_lt_sub_one_of_pos · cited by 4Real.log_lt_sub_one_of_posSet.InjOn.sbtw_map_iff · cited by 1InjOn.sbtw_map_iffSet · cited by 53352SetSet.InjOn · cited by 543Set.InjOnIff.not · cited by 489Iff.notSet.InjOn.eq_iff · cited by 25InjOn.eq_iffInjOn.ne_iffCITED BYCITES

Cites4

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Cited by3

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