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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 2332 |
. 2
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2 | nfcv 2332 |
. 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 2710 |
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 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-nf 1472 df-sb 1774 df-cleq 2182 df-clel 2185 df-nfc 2321 df-ral 2473 |
This theorem is referenced by: cbvralv 2718 cbvralsv 2734 cbviin 3939 frind 4370 ralxpf 4791 eqfnfv2f 5638 ralrnmpt 5679 dff13f 5792 ofrfval2 6124 fmpox 6226 cbvixp 6742 mptelixpg 6761 xpf1o 6873 indstr 9625 fsum3 11430 fsum00 11505 mertenslem2 11579 fprodcl2lem 11648 fprodle 11683 ctiunctal 12495 cnmpt11 14260 cnmpt21 14268 bj-bdfindes 15179 bj-findes 15211 |
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