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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 1522 |
. . 3
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2 | nfcr 2324 |
. . . 4
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3 | 2 | nfrd 1531 |
. . 3
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4 | 1, 3 | impbid2 143 |
. 2
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5 | 4 | abbi1dv 2309 |
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-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-11 1517 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 |
This theorem is referenced by: dedhb 2921 nfopd 3810 nfimad 4997 nffvd 5546 |
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