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Mirrors > Home > ILE Home > Th. List > cbvex4v | Unicode version |
Description: Rule used to change bound variables, using implicit substitition. (Contributed by NM, 26-Jul-1995.) |
Ref | Expression |
---|---|
cbvex4v.1 |
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cbvex4v.2 |
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Ref | Expression |
---|---|
cbvex4v |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbvex4v.1 |
. . . 4
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2 | 1 | 2exbidv 1841 |
. . 3
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3 | 2 | cbvex2v 1897 |
. 2
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4 | cbvex4v.2 |
. . . 4
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5 | 4 | cbvex2v 1897 |
. . 3
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6 | 5 | 2exbii 1586 |
. 2
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7 | 3, 6 | bitri 183 |
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-8 1483 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 |
This theorem depends on definitions: df-bi 116 df-nf 1438 |
This theorem is referenced by: enq0sym 7264 addnq0mo 7279 mulnq0mo 7280 addsrmo 7575 mulsrmo 7576 |
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