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Mirrors > Home > ILE Home > Th. List > cbvral | Unicode version |
Description: Rule used to change bound variables, using implicit substitution. (Contributed by NM, 31-Jul-2003.) |
Ref | Expression |
---|---|
cbvral.1 |
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cbvral.2 |
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cbvral.3 |
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Ref | Expression |
---|---|
cbvral |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2319 |
. 2
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2 | nfcv 2319 |
. 2
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3 | cbvral.1 |
. 2
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4 | cbvral.2 |
. 2
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5 | cbvral.3 |
. 2
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6 | 1, 2, 3, 4, 5 | cbvralf 2696 |
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-cleq 2170 df-clel 2173 df-nfc 2308 df-ral 2460 |
This theorem is referenced by: cbvralv 2703 cbvralsv 2719 cbviin 3922 frind 4348 ralxpf 4768 eqfnfv2f 5612 ralrnmpt 5653 dff13f 5764 ofrfval2 6092 fmpox 6194 cbvixp 6708 mptelixpg 6727 xpf1o 6837 indstr 9569 fsum3 11366 fsum00 11441 mertenslem2 11515 fprodcl2lem 11584 fprodle 11619 ctiunctal 12412 cnmpt11 13416 cnmpt21 13424 bj-bdfindes 14323 bj-findes 14355 |
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