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Mirrors > Home > ILE Home > Th. List > cbv3 | Unicode version |
Description: Rule used to change bound variables, using implicit substitution. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Wolf Lammen, 12-May-2018.) |
Ref | Expression |
---|---|
cbv3.1 |
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cbv3.2 |
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cbv3.3 |
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Ref | Expression |
---|---|
cbv3 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbv3.1 |
. . 3
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2 | 1 | nfal 1556 |
. 2
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3 | cbv3.2 |
. . 3
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4 | cbv3.3 |
. . 3
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5 | 3, 4 | spim 1717 |
. 2
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6 | 2, 5 | alrimi 1503 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 ax-i9 1511 ax-ial 1515 |
This theorem depends on definitions: df-bi 116 df-nf 1438 |
This theorem is referenced by: cbv3h 1722 cbv1 1723 mo2n 2028 mo23 2041 setindis 13336 bdsetindis 13338 |
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