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Mirrors > Home > ILE Home > Th. List > cbvald | Unicode version |
Description: Deduction used to change bound variables, using implicit substitution, particularly useful in conjunction with dvelim 2017. (Contributed by NM, 2-Jan-2002.) (Revised by Mario Carneiro, 6-Oct-2016.) (Revised by Wolf Lammen, 13-May-2018.) |
Ref | Expression |
---|---|
cbvald.1 |
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cbvald.2 |
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cbvald.3 |
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Ref | Expression |
---|---|
cbvald |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1528 |
. 2
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2 | cbvald.1 |
. 2
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3 | cbvald.2 |
. 2
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4 | nfv 1528 |
. . 3
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5 | 4 | a1i 9 |
. 2
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6 | cbvald.3 |
. 2
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7 | 1, 2, 3, 5, 6 | cbv2 1749 |
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 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 |
This theorem depends on definitions: df-bi 117 df-nf 1461 |
This theorem is referenced by: cbvaldva 1928 |
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