NFE Home New Foundations Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  simp2d Unicode version

Theorem simp2d 968
Description: Deduce a conjunct from a triple conjunction. (Contributed by NM, 4-Sep-2005.)
Hypothesis
Ref Expression
3simp1d.1
Assertion
Ref Expression
simp2d

Proof of Theorem simp2d
StepHypRef Expression
1 3simp1d.1 . 2
2 simp2 956 . 2
31, 2syl 15 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   w3a 934
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 177  df-an 360  df-3an 936
This theorem is referenced by:  simp2bi  971
  Copyright terms: Public domain W3C validator