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Mirrors > Home > ILE Home > Th. List > elexi | Unicode version |
Description: If a class is a member of another class, it is a set. (Contributed by NM, 11-Jun-1994.) |
Ref | Expression |
---|---|
elisseti.1 |
Ref | Expression |
---|---|
elexi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elisseti.1 | . 2 | |
2 | elex 2566 | . 2 | |
3 | 1, 2 | ax-mp 7 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 1393 cvv 2557 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-v 2559 |
This theorem is referenced by: onunisuci 4169 ordsoexmid 4286 fnoei 6032 oeiexg 6033 endisj 6298 indpi 6440 prarloclemarch2 6517 prarloclemlt 6591 opelreal 6904 elreal 6905 elreal2 6907 eqresr 6912 c0ex 7021 1ex 7022 2ex 7987 3ex 7991 pnfex 8693 elxr 8696 |
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