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).

  1. cefmnd
  2. df-efmnd
  3. efmnd
  4. efmndbas
  5. efmndbasabf
  6. elefmndbas
  7. elefmndbas2
  8. efmndbasf
  9. efmndhash
  10. efmndbasfi
  11. efmndfv
  12. efmndtset
  13. efmndplusg
  14. efmndov
  15. efmndcl
  16. efmndtopn
  17. symggrplem
  18. efmndmgm
  19. efmndsgrp
  20. ielefmnd
  21. efmndid
  22. efmndmnd
  23. efmnd0nmnd
  24. efmndbas0
  25. efmnd1hash
  26. efmnd1bas
  27. efmnd2hash
  28. submefmnd
  29. sursubmefmnd
  30. injsubmefmnd
  31. idressubmefmnd
  32. idresefmnd
  33. smndex1ibas
  34. smndex1iidm
  35. smndex1gbas
  36. smndex1gbasOLD
  37. smndex1gid
  38. smndex1gidOLD
  39. smndex1igid
  40. smndex1igidOLD
  41. smndex1basss
  42. smndex1bas
  43. smndex1mgm
  44. smndex1sgrp
  45. smndex1mndlem
  46. smndex1mnd
  47. smndex1id
  48. smndex1n0mnd
  49. nsmndex1
  50. smndex2dbas
  51. smndex2dnrinv
  52. smndex2hbas
  53. smndex2dlinvh