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Mirrors > Home > ILE Home > Th. List > reximi2 | Unicode version |
Description: Inference quantifying both antecedent and consequent, based on Theorem 19.22 of [Margaris] p. 90. (Contributed by NM, 8-Nov-2004.) |
Ref | Expression |
---|---|
reximi2.1 |
Ref | Expression |
---|---|
reximi2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | reximi2.1 | . . 3 | |
2 | 1 | eximi 1580 | . 2 |
3 | df-rex 2441 | . 2 | |
4 | df-rex 2441 | . 2 | |
5 | 2, 3, 4 | 3imtr4i 200 | 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-ial 1514 |
This theorem depends on definitions: df-bi 116 df-rex 2441 |
This theorem is referenced by: btwnz 9288 ioo0 10168 |
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