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Mirrors > Home > MPE Home > Th. List > Mathboxes > in3 | Structured version Visualization 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 |
Ref | Expression |
---|---|
in3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | in3.1 | . . 3 | |
2 | 1 | dfvd3i 38808 | . 2 |
3 | 2 | dfvd2ir 38802 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wvd2 38793 wvd3 38803 |
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 197 df-an 386 df-3an 1039 df-vd2 38794 df-vd3 38806 |
This theorem is referenced by: e223 38860 suctrALT2VD 39071 en3lplem2VD 39079 exbirVD 39088 exbiriVD 39089 rspsbc2VD 39090 tratrbVD 39097 ssralv2VD 39102 imbi12VD 39109 imbi13VD 39110 truniALTVD 39114 trintALTVD 39116 onfrALTlem2VD 39125 |
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