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Mirrors > Home > ILE Home > Th. List > nfpr | Unicode version |
Description: Bound-variable hypothesis builder for unordered pairs. (Contributed by NM, 14-Nov-1995.) |
Ref | Expression |
---|---|
nfpr.1 |
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nfpr.2 |
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Ref | Expression |
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nfpr |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfpr2 3441 |
. 2
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2 | nfpr.1 |
. . . . 5
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3 | 2 | nfeq2 2234 |
. . . 4
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4 | nfpr.2 |
. . . . 5
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5 | 4 | nfeq2 2234 |
. . . 4
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6 | 3, 5 | nfor 1507 |
. . 3
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7 | 6 | nfab 2227 |
. 2
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8 | 1, 7 | nfcxfr 2220 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-io 663 ax-5 1377 ax-7 1378 ax-gen 1379 ax-ie1 1423 ax-ie2 1424 ax-8 1436 ax-10 1437 ax-11 1438 ax-i12 1439 ax-bndl 1440 ax-4 1441 ax-17 1460 ax-i9 1464 ax-ial 1468 ax-i5r 1469 ax-ext 2065 |
This theorem depends on definitions: df-bi 115 df-tru 1288 df-nf 1391 df-sb 1688 df-clab 2070 df-cleq 2076 df-clel 2079 df-nfc 2212 df-v 2614 df-un 2988 df-sn 3428 df-pr 3429 |
This theorem is referenced by: nfsn 3476 nfop 3612 |
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