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Mirrors > Home > ILE Home > Th. List > cbv3h | Unicode version |
Description: Rule used to change bound variables, using implicit substitution. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.) (Proof shortened by Wolf Lammen, 12-May-2018.) |
Ref | Expression |
---|---|
cbv3h.1 |
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cbv3h.2 |
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cbv3h.3 |
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Ref | Expression |
---|---|
cbv3h |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbv3h.1 |
. . 3
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2 | 1 | nfi 1462 |
. 2
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3 | cbv3h.2 |
. . 3
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4 | 3 | nfi 1462 |
. 2
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5 | cbv3h.3 |
. 2
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6 | 2, 4, 5 | cbv3 1742 |
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-4 1510 ax-i9 1530 ax-ial 1534 |
This theorem depends on definitions: df-bi 117 df-nf 1461 |
This theorem is referenced by: cbvalh 1753 ax16 1813 ax16i 1858 cleqh 2277 |
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