MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  simp311 Unicode version

Theorem simp311 1143
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp311

Proof of Theorem simp311
StepHypRef Expression
1 simp11 1026 . 2
213ad2ant3 1019 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  /\w3a 973
This theorem is referenced by:  dalem-clpjq  35361  dath2  35461  cdleme26e  36085  cdleme38m  36189  cdleme38n  36190  cdleme39n  36192  cdlemg28b  36429  cdlemk7  36574  cdlemk11  36575  cdlemk12  36576  cdlemk7u  36596  cdlemk11u  36597  cdlemk12u  36598  cdlemk22  36619  cdlemk23-3  36628  cdlemk25-3  36630
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 975
  Copyright terms: Public domain W3C validator