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Mirrors > Home > ILE Home > Th. List > vtocl | Unicode version |
Description: Implicit substitution of a class for a setvar variable. (Contributed by NM, 30-Aug-1993.) |
Ref | Expression |
---|---|
vtocl.1 |
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vtocl.2 |
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vtocl.3 |
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Ref | Expression |
---|---|
vtocl |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1509 |
. 2
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2 | vtocl.1 |
. 2
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3 | vtocl.2 |
. 2
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4 | vtocl.3 |
. 2
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5 | 1, 2, 3, 4 | vtoclf 2742 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-v 2691 |
This theorem is referenced by: vtoclb 2746 zfauscl 4056 bnd2 4105 uniex 4367 ordtriexmid 4445 onsucsssucexmid 4450 regexmid 4458 ordsoexmid 4485 onintexmid 4495 reg3exmid 4502 nnregexmid 4542 acexmidlemv 5780 caovcan 5943 findcard2 6791 findcard2s 6792 inffiexmid 6808 sup3exmid 8739 bj-uniex 13286 bj-omtrans 13325 |
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