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Mirrors > Home > ILE Home > Th. List > exan | Unicode version |
Description: Place a conjunct in the scope of an existential quantifier. (Contributed by NM, 18-Aug-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.) |
Ref | Expression |
---|---|
exan.1 |
Ref | Expression |
---|---|
exan |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbe1 1424 | . . . 4 | |
2 | 1 | 19.28h 1494 | . . 3 |
3 | exan.1 | . . 3 | |
4 | 2, 3 | mpgbi 1381 | . 2 |
5 | 19.29r 1552 | . 2 | |
6 | 4, 5 | ax-mp 7 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 102 wal 1282 wex 1421 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-4 1440 ax-ial 1467 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: bm1.3ii 3899 bdbm1.3ii 10682 |
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