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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 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-opab 4080 |
. 2
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2 | nfe1 1507 |
. . . 4
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3 | 2 | nfex 1648 |
. . 3
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4 | 3 | nfab 2337 |
. 2
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5 | 1, 4 | nfcxfr 2329 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-opab 4080 |
This theorem is referenced by: opelopabsb 4275 ssopab2b 4291 dmopab 4853 rnopab 4889 funopab 5267 0neqopab 5937 |
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