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Mirrors > Home > ILE Home > Th. List > cbvreuv | Unicode version |
Description: Change the bound variable of a restricted unique existential quantifier using implicit substitution. (Contributed by NM, 5-Apr-2004.) (Revised by Mario Carneiro, 15-Oct-2016.) |
Ref | Expression |
---|---|
cbvralv.1 |
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Ref | Expression |
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cbvreuv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1466 |
. 2
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2 | nfv 1466 |
. 2
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3 | cbvralv.1 |
. 2
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4 | 1, 2, 3 | cbvreu 2588 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-io 665 ax-5 1381 ax-7 1382 ax-gen 1383 ax-ie1 1427 ax-ie2 1428 ax-8 1440 ax-10 1441 ax-11 1442 ax-i12 1443 ax-bndl 1444 ax-4 1445 ax-17 1464 ax-i9 1468 ax-ial 1472 ax-i5r 1473 ax-ext 2070 |
This theorem depends on definitions: df-bi 115 df-tru 1292 df-nf 1395 df-sb 1693 df-eu 1951 df-cleq 2081 df-clel 2084 df-reu 2366 |
This theorem is referenced by: reu8 2811 |
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