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Mathbox for Alan Sare |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > in3 | Structured version Unicode version |
Description: The virtual deduction introduction rule of converting the end virtual hypothesis of 3 virtual hypotheses into an antecedent. (Contributed by Alan Sare, 12-Jun-2011.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
in3.1 |
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Ref | Expression |
---|---|
in3 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | in3.1 |
. . 3
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2 | 1 | dfvd3i 31602 |
. 2
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3 | 2 | dfvd2ir 31596 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 185 df-an 371 df-3an 967 df-vd2 31588 df-vd3 31600 |
This theorem is referenced by: e223 31654 suctrALT2VD 31869 en3lplem2VD 31877 exbirVD 31886 exbiriVD 31887 rspsbc2VD 31888 tratrbVD 31894 ssralv2VD 31899 imbi12VD 31906 imbi13VD 31907 truniALTVD 31911 trintALTVD 31913 onfrALTlem2VD 31922 |
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