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Mirrors > Home > ILE Home > Th. List > nfopab2 | Unicode version |
Description: The second abstraction variable in an ordered-pair class abstraction (class builder) is effectively not free. (Contributed by NM, 16-May-1995.) (Revised by Mario Carneiro, 14-Oct-2016.) |
Ref | Expression |
---|---|
nfopab2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-opab 4049 | . 2 | |
2 | nfe1 1489 | . . . 4 | |
3 | 2 | nfex 1630 | . . 3 |
4 | 3 | nfab 2317 | . 2 |
5 | 1, 4 | nfcxfr 2309 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 103 wceq 1348 wex 1485 cab 2156 wnfc 2299 cop 3584 copab 4047 |
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 704 ax-5 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-10 1498 ax-11 1499 ax-i12 1500 ax-bndl 1502 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-i5r 1528 ax-ext 2152 |
This theorem depends on definitions: df-bi 116 df-nf 1454 df-sb 1756 df-clab 2157 df-cleq 2163 df-clel 2166 df-nfc 2301 df-opab 4049 |
This theorem is referenced by: opelopabsb 4243 ssopab2b 4259 dmopab 4820 rnopab 4856 funopab 5231 0neqopab 5895 |
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