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Mirrors > Home > MPE Home > Th. List > ceqsexg | Structured version Visualization version Unicode version |
Description: A representation of explicit substitution of a class for a variable, inferred from an implicit substitution hypothesis. (Contributed by NM, 11-Oct-2004.) |
Ref | Expression |
---|---|
ceqsexg.1 |
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ceqsexg.2 |
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Ref | Expression |
---|---|
ceqsexg |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfe1 1928 |
. . 3
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2 | ceqsexg.1 |
. . 3
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3 | 1, 2 | nfbi 2027 |
. 2
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4 | ceqex 3180 |
. . 3
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5 | ceqsexg.2 |
. . 3
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6 | 4, 5 | bibi12d 327 |
. 2
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7 | biid 244 |
. 2
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8 | 3, 6, 7 | vtoclg1f 3117 |
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 1679 ax-4 1692 ax-5 1768 ax-6 1815 ax-7 1861 ax-10 1925 ax-12 1943 ax-ext 2441 |
This theorem depends on definitions: df-bi 190 df-an 377 df-tru 1457 df-ex 1674 df-nf 1678 df-sb 1808 df-clab 2448 df-cleq 2454 df-clel 2457 df-v 3058 |
This theorem is referenced by: ceqsexgv 3182 |
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