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Mirrors > Home > ILE Home > Th. List > 19.9h | Unicode version |
Description: A wff may be existentially quantified with a variable not free in it. Theorem 19.9 of [Margaris] p. 89. (Contributed by FL, 24-Mar-2007.) |
Ref | Expression |
---|---|
19.9h.1 |
Ref | Expression |
---|---|
19.9h |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.9ht 1532 | . . 3 | |
2 | 19.9h.1 | . . 3 | |
3 | 1, 2 | mpg 1340 | . 2 |
4 | 19.8a 1482 | . 2 | |
5 | 3, 4 | impbii 117 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 98 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-ia3 101 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-4 1400 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: 19.9 1535 excomim 1553 exdistrfor 1681 sbcof2 1691 ax11ev 1709 19.9v 1751 exists1 1996 |
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