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Mirrors > Home > MPE Home > Th. List > funforn | Structured version Visualization version Unicode version |
Description: A function maps its domain onto its range. (Contributed by NM, 23-Jul-2004.) |
Ref | Expression |
---|---|
funforn |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | funfn 5918 | . 2 | |
2 | dffn4 6121 | . 2 | |
3 | 1, 2 | bitri 264 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wb 196 cdm 5114 crn 5115 wfun 5882 wfn 5883 wfo 5886 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-9 1999 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-an 386 df-ex 1705 df-cleq 2615 df-fn 5891 df-fo 5894 |
This theorem is referenced by: fimacnvinrn 6348 imacosupp 7335 ordtypelem8 8430 wdomima2g 8491 imadomg 9356 gruima 9624 oppglsm 18057 1stcrestlem 21255 dfac14 21421 qtoptop2 21502 |
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