Theorems · Theorem · order theory

Set.image_diff_of_injOn

Deprecated since 2026-06-03Use Set.image_sdiff_of_injOn instead.

∀ {α : Type u_1} {β : Type u_2} {s : Set α} {f : α → β} {t : Set α},
  Set.InjOn f s → t ⊆ s → f '' (s \ t) = f '' s \ f '' t

Alias of Set.image_sdiff_of_injOn. Alias of Set.InjOn.image_sdiff_subset.

Defined in

Mathlib.Data.Set.Function

Cited by

0 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound