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Mirrors > Home > ILE Home > Th. List > nfoprab3 | Unicode version |
Description: The abstraction variables in an operation class abstraction are not free. (Contributed by NM, 22-Aug-2013.) |
Ref | Expression |
---|---|
nfoprab3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-oprab 5771 | . 2 | |
2 | nfe1 1472 | . . . . 5 | |
3 | 2 | nfex 1616 | . . . 4 |
4 | 3 | nfex 1616 | . . 3 |
5 | 4 | nfab 2284 | . 2 |
6 | 1, 5 | nfcxfr 2276 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wceq 1331 wex 1468 cab 2123 wnfc 2266 cop 3525 coprab 5768 |
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-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-oprab 5771 |
This theorem is referenced by: ssoprab2b 5821 ovi3 5900 tposoprab 6170 |
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