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Mirrors > Home > ILE Home > Th. List > cbv2h | Unicode version |
Description: Rule used to change bound variables, using implicit substitution. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
cbv2h.1 |
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cbv2h.2 |
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cbv2h.3 |
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Ref | Expression |
---|---|
cbv2h |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbv2h.1 |
. . 3
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2 | cbv2h.2 |
. . 3
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3 | cbv2h.3 |
. . . 4
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4 | bi1 117 |
. . . 4
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5 | 3, 4 | syl6 33 |
. . 3
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6 | 1, 2, 5 | cbv1h 1704 |
. 2
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7 | equcomi 1661 |
. . . . 5
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8 | bi2 129 |
. . . . 5
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9 | 7, 3, 8 | syl56 34 |
. . . 4
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10 | 2, 1, 9 | cbv1h 1704 |
. . 3
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11 | 10 | a7s 1411 |
. 2
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12 | 6, 11 | impbid 128 |
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 1404 ax-7 1405 ax-gen 1406 ax-ie1 1450 ax-ie2 1451 ax-8 1463 ax-4 1468 ax-17 1487 ax-i9 1491 ax-ial 1495 ax-i5r 1496 |
This theorem depends on definitions: df-bi 116 df-nf 1418 |
This theorem is referenced by: cbv2 1706 |
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