Theorems · Definition

Function.invFun

{α : Sort u} → {β : Sort u_3} → [Nonempty α] → (α → β) → β → α

The inverse of a function (which is a left inverse if f is injective and a right inverse if f is surjective).

Defined in: Mathlib.Logic.Function.Basic
Cited by: 60 results in Mathlib
Foundations: Depth 12 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Nonempty

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.