Mathbox for Alan Sare 
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Mirrors > Home > MPE Home > Th. List > Mathboxes > com3rgbi  Structured version Unicode version 
Description: The following User's Proof is a Virtual Deduction proof completed
automatically by the tools program completeusersproof.cmd, which invokes
Mel O'Cat's mmj2 and Norm Megill's Metamath Proof Assistant. The
completed Virtual Deduction Proof (not shown) was minimized. The
minimized proof is shown.
(Contributed by Alan Sare, 18Mar2012.)
(Proof modification is discouraged.) (New usage is discouraged.)

Ref  Expression 

com3rgbi 
Step  Hyp  Ref  Expression 

1  pm2.04 78  . . 3  
2  1  com24 83  . 2 
3  pm2.04 78  . . 3  
4  3  com34 79  . 2 
5  2, 4  impbii 181  1 
Colors of variables: wff set class 
Syntax hints: wi 4 wb 177 
This theorem is referenced by: impexp3acom3r 28598 
This theorem was proved from axioms: ax1 5 ax2 6 ax3 7 axmp 8 
This theorem depends on definitions: dfbi 178 
Copyright terms: Public domain  W3C validator 