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Mirrors > Home > ILE Home > Th. List > cbvabv | Unicode version |
Description: Rule used to change bound variables, using implicit substitution. (Contributed by NM, 26-May-1999.) |
Ref | Expression |
---|---|
cbvabv.1 |
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Ref | Expression |
---|---|
cbvabv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1528 |
. 2
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2 | nfv 1528 |
. 2
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3 | cbvabv.1 |
. 2
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4 | 1, 2, 3 | cbvab 2301 |
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-io 709 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 |
This theorem is referenced by: cdeqab1 2955 difjust 3131 unjust 3133 injust 3135 uniiunlem 3245 dfif3 3548 pwjust 3577 snjust 3598 intab 3874 iotajust 5178 tfrlemi1 6333 tfr1onlemaccex 6349 tfrcllemaccex 6362 frecsuc 6408 isbth 6966 nqprlu 7546 recexpr 7637 caucvgprprlemval 7687 caucvgprprlemnbj 7692 caucvgprprlemaddq 7707 caucvgprprlem1 7708 caucvgprprlem2 7709 axcaucvg 7899 mertensabs 11545 bds 14606 |
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