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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 |
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Ref | Expression |
---|---|
reximdv2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | reximdv2.1 |
. . 3
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2 | 1 | eximdv 1853 |
. 2
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3 | df-rex 2423 |
. 2
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4 | df-rex 2423 |
. 2
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5 | 2, 3, 4 | 3imtr4g 204 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
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 1424 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 ax-17 1507 ax-ial 1515 |
This theorem depends on definitions: df-bi 116 df-rex 2423 |
This theorem is referenced by: reximssdv 2539 ssrexv 3167 ssimaex 5490 ico0 10070 ioc0 10071 r19.2uz 10797 trilpolemlt1 13409 |
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