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Mirrors > Home > MPE Home > Th. List > vtoclef | Structured version Visualization version Unicode version |
Description: Implicit substitution of a class for a setvar variable. (Contributed by NM, 18-Aug-1993.) |
Ref | Expression |
---|---|
vtoclef.1 |
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vtoclef.2 |
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vtoclef.3 |
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Ref | Expression |
---|---|
vtoclef |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vtoclef.2 |
. . 3
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2 | 1 | isseti 3051 |
. 2
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3 | vtoclef.1 |
. . 3
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4 | vtoclef.3 |
. . 3
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5 | 3, 4 | exlimi 1995 |
. 2
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6 | 2, 5 | ax-mp 5 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1669 ax-4 1682 ax-5 1758 ax-6 1805 ax-7 1851 ax-10 1915 ax-12 1933 ax-ext 2431 |
This theorem depends on definitions: df-bi 189 df-an 373 df-tru 1447 df-ex 1664 df-nf 1668 df-sb 1798 df-clab 2438 df-cleq 2444 df-clel 2447 df-v 3047 |
This theorem is referenced by: nn0ind-raph 11035 finxpreclem2 31782 |
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