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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 1539 |
. 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 2814 |
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-5 1458 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-ext 2175 |
This theorem depends on definitions: df-bi 117 df-nf 1472 df-sb 1774 df-clab 2180 df-cleq 2186 df-clel 2189 df-v 2762 |
This theorem is referenced by: vtoclb 2818 zfauscl 4150 bnd2 4203 uniex 4469 ordtriexmid 4554 onsucsssucexmid 4560 regexmid 4568 ordsoexmid 4595 onintexmid 4606 reg3exmid 4613 nnregexmid 4654 acexmidlemv 5917 caovcan 6085 findcard2 6947 findcard2s 6948 inffiexmid 6964 sup3exmid 8978 bj-uniex 15479 bj-omtrans 15518 |
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