Theorems · Theorem · order theory

Set.SurjOn.image_invFunOn_image

∀ {α : Type u_1} {β : Type u_2} {s : Set α} {t : Set β} {f : α → β} [inst : Nonempty α],
  Set.SurjOn f s t → f '' Function.invFunOn f s '' t = t

This lemma is a special case of rightInvOn_invFunOn.image_image; it may make more sense to use the other lemma directly in an application.

Defined in

Mathlib.Data.Set.Function

Cited by

0 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Nonempty