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Mirrors > Home > ILE Home > Th. List > fnrel | Unicode version |
Description: A function with domain is a relation. (Contributed by NM, 1-Aug-1994.) |
Ref | Expression |
---|---|
fnrel |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fnfun 5215 | . 2 | |
2 | funrel 5135 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wrel 4539 wfun 5112 wfn 5113 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 |
This theorem depends on definitions: df-bi 116 df-fun 5120 df-fn 5121 |
This theorem is referenced by: fnbr 5220 fnresdm 5227 fn0 5237 frel 5272 fcoi2 5299 f1rel 5327 f1ocnv 5373 dffn5im 5460 fnex 5635 fnexALT 6004 istps 12188 topontopn 12193 cldrcl 12260 neiss2 12300 |
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