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Mirrors > Home > ILE Home > Th. List > cbvex | Unicode version |
Description: Rule used to change bound variables, using implicit substitution. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
cbvex.1 |
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cbvex.2 |
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cbvex.3 |
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Ref | Expression |
---|---|
cbvex |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbvex.1 |
. . 3
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2 | 1 | nfri 1519 |
. 2
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3 | cbvex.2 |
. . 3
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4 | 3 | nfri 1519 |
. 2
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5 | cbvex.3 |
. 2
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6 | 2, 4, 5 | cbvexh 1755 |
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 |
This theorem depends on definitions: df-bi 117 df-nf 1461 |
This theorem is referenced by: sb8e 1857 cbvex2 1922 cbvmo 2066 mo23 2067 clelab 2303 cbvrexf 2697 issetf 2744 eqvincf 2862 rexab2 2903 cbvrexcsf 3120 abn0m 3448 rabn0m 3450 euabsn 3662 eluniab 3821 cbvopab1 4075 cbvopab2 4076 cbvopab1s 4077 intexabim 4151 iinexgm 4153 opeliunxp 4680 dfdmf 4818 dfrnf 4866 elrnmpt1 4876 cbvoprab1 5943 cbvoprab2 5944 opabex3d 6118 opabex3 6119 seq3f1olemp 10496 fsum2dlemstep 11434 bdsepnfALT 14492 strcollnfALT 14589 |
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