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Mirrors > Home > ILE Home > Th. List > feq1i | Unicode version |
Description: Equality inference for functions. (Contributed by Paul Chapman, 22-Jun-2011.) |
Ref | Expression |
---|---|
feq1i.1 |
Ref | Expression |
---|---|
feq1i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | feq1i.1 | . 2 | |
2 | feq1 5250 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 104 wceq 1331 wf 5114 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-3an 964 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-v 2683 df-un 3070 df-in 3072 df-ss 3079 df-sn 3528 df-pr 3529 df-op 3531 df-br 3925 df-opab 3985 df-rel 4541 df-cnv 4542 df-co 4543 df-dm 4544 df-rn 4545 df-fun 5120 df-fn 5121 df-f 5122 |
This theorem is referenced by: ftpg 5597 frecfcllem 6294 frecsuclem 6296 omp1eomlem 6972 frecuzrdgrcl 10176 frecuzrdgrclt 10181 fxnn0nninf 10204 resqrexlemf 10772 algrf 11715 ennnfonelemh 11906 limcmpted 12790 dvexp 12833 efcn 12846 subctctexmid 13185 |
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