Metamath Proof Explorer
Table of Contents - 10.1.9.22. Monoid of endofunctions
According to Wikipedia ("Endomorphism", 25-Jan-2024,
https://en.wikipedia.org/wiki/Endomorphism) "An endofunction is a function
whose domain is equal to its codomain.". An endofunction is sometimes also
called "self-mapping" (see https://www.wikidata.org/wiki/Q1691962) or
"self-map" (see https://mathworld.wolfram.com/Self-Map.html), in German
"Selbstabbildung" (see https://de.wikipedia.org/wiki/Selbstabbildung).
- cefmnd
- df-efmnd
- efmnd
- efmndbas
- efmndbasabf
- elefmndbas
- elefmndbas2
- efmndbasf
- efmndhash
- efmndbasfi
- efmndfv
- efmndtset
- efmndplusg
- efmndov
- efmndcl
- efmndtopn
- symggrplem
- efmndmgm
- efmndsgrp
- ielefmnd
- efmndid
- efmndmnd
- efmnd0nmnd
- efmndbas0
- efmnd1hash
- efmnd1bas
- efmnd2hash
- submefmnd
- sursubmefmnd
- injsubmefmnd
- idressubmefmnd
- idresefmnd
- smndex1ibas
- smndex1iidm
- smndex1gbas
- smndex1gbasOLD
- smndex1gid
- smndex1gidOLD
- smndex1igid
- smndex1igidOLD
- smndex1basss
- smndex1bas
- smndex1mgm
- smndex1sgrp
- smndex1mndlem
- smndex1mnd
- smndex1id
- smndex1n0mnd
- nsmndex1
- smndex2dbas
- smndex2dnrinv
- smndex2hbas
- smndex2dlinvh