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Mirrors > Home > ILE Home > Th. List > abidnf | Unicode version |
Description: Identity used to create closed-form versions of bound-variable hypothesis builders for class expressions. (Contributed by NM, 10-Nov-2005.) (Proof shortened by Mario Carneiro, 12-Oct-2016.) |
Ref | Expression |
---|---|
abidnf |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sp 1471 |
. . 3
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2 | nfcr 2247 |
. . . 4
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3 | 2 | nfrd 1483 |
. . 3
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4 | 1, 3 | impbid2 142 |
. 2
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5 | 4 | abbi1dv 2234 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1406 ax-7 1407 ax-gen 1408 ax-ie1 1452 ax-ie2 1453 ax-8 1465 ax-11 1467 ax-4 1470 ax-17 1489 ax-i9 1493 ax-ial 1497 ax-i5r 1498 ax-ext 2097 |
This theorem depends on definitions: df-bi 116 df-nf 1420 df-sb 1719 df-clab 2102 df-cleq 2108 df-clel 2111 df-nfc 2244 |
This theorem is referenced by: dedhb 2822 nfopd 3688 nfimad 4848 nffvd 5387 |
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