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Mirrors > Home > ILE Home > Th. List > equs5a | Unicode version |
Description: A property related to substitution that unlike equs5 1710 doesn't require a distinctor antecedent. (Contributed by NM, 2-Feb-2007.) |
Ref | Expression |
---|---|
equs5a |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hba1 1433 | . 2 | |
2 | ax-11 1397 | . . 3 | |
3 | 2 | imp 115 | . 2 |
4 | 1, 3 | exlimih 1484 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wal 1241 wex 1381 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-gen 1338 ax-ie2 1383 ax-11 1397 ax-ial 1427 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: equs5e 1676 sb4a 1682 equs45f 1683 |
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