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Mirrors > Home > ILE Home > Th. List > vtoclf | Unicode version |
Description: Implicit substitution of a class for a setvar variable. This is a generalization of chvar 1768. (Contributed by NM, 30-Aug-1993.) |
Ref | Expression |
---|---|
vtoclf.1 |
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vtoclf.2 |
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vtoclf.3 |
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vtoclf.4 |
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Ref | Expression |
---|---|
vtoclf |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vtoclf.1 |
. . 3
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2 | vtoclf.2 |
. . . . 5
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3 | 2 | isseti 2760 |
. . . 4
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4 | vtoclf.3 |
. . . . 5
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5 | 4 | biimpd 144 |
. . . 4
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6 | 3, 5 | eximii 1613 |
. . 3
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7 | 1, 6 | 19.36i 1683 |
. 2
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8 | vtoclf.4 |
. 2
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9 | 7, 8 | mpg 1462 |
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 2171 |
This theorem depends on definitions: df-bi 117 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-v 2754 |
This theorem is referenced by: vtocl 2806 |
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