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Mirrors > Home > ILE Home > Th. List > reximdv2 | Unicode version |
Description: Deduction quantifying both antecedent and consequent, based on Theorem 19.22 of [Margaris] p. 90. (Contributed by NM, 17-Sep-2003.) |
Ref | Expression |
---|---|
reximdv2.1 |
Ref | Expression |
---|---|
reximdv2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | reximdv2.1 | . . 3 | |
2 | 1 | eximdv 1860 | . 2 |
3 | df-rex 2441 | . 2 | |
4 | df-rex 2441 | . 2 | |
5 | 2, 3, 4 | 3imtr4g 204 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wex 1472 wcel 2128 wrex 2436 |
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 1427 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-4 1490 ax-17 1506 ax-ial 1514 |
This theorem depends on definitions: df-bi 116 df-rex 2441 |
This theorem is referenced by: reximssdv 2561 ssrexv 3193 ssimaex 5529 ico0 10161 ioc0 10162 r19.2uz 10893 trilpolemlt1 13612 |
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