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Mirrors > Home > ILE Home > Th. List > rexim | Unicode version |
Description: Theorem 19.22 of [Margaris] p. 90. (Restricted quantifier version.) (Contributed by NM, 22-Nov-1994.) (Proof shortened by Andrew Salmon, 30-May-2011.) |
Ref | Expression |
---|---|
rexim |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ral 2447 | . . . 4 | |
2 | simpl 108 | . . . . . . 7 | |
3 | 2 | a1i 9 | . . . . . 6 |
4 | pm3.31 260 | . . . . . 6 | |
5 | 3, 4 | jcad 305 | . . . . 5 |
6 | 5 | alimi 1442 | . . . 4 |
7 | 1, 6 | sylbi 120 | . . 3 |
8 | exim 1586 | . . 3 | |
9 | 7, 8 | syl 14 | . 2 |
10 | df-rex 2448 | . 2 | |
11 | df-rex 2448 | . 2 | |
12 | 9, 10, 11 | 3imtr4g 204 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wal 1340 wex 1479 wcel 2135 wral 2442 wrex 2443 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1434 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-4 1497 ax-ial 1521 |
This theorem depends on definitions: df-bi 116 df-ral 2447 df-rex 2448 |
This theorem is referenced by: reximia 2559 reximdai 2562 r19.29 2601 reupick2 3403 ss2iun 3875 chfnrn 5590 |
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