# left inverse

> English word · Noun

## Definitions
1. A related function that, given the output of the original function, returns the input that produced that output.
2. For a given morphism f : X → Y, its right inverse (if it has one) is a morphism s : Y → X such that s∘f= mbox id_X.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/left-inverse