MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  3an1rs Unicode version

Theorem 3an1rs 1208
Description: Swap conjuncts. (Contributed by NM, 16-Dec-2007.)
Hypothesis
Ref Expression
3an1rs.1
Assertion
Ref Expression
3an1rs

Proof of Theorem 3an1rs
StepHypRef Expression
1 3an1rs.1 . . . . . 6
21ex 434 . . . . 5
323exp 1195 . . . 4
43com34 83 . . 3
543imp 1190 . 2
65imp 429 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  /\wa 369  /\w3a 973
This theorem is referenced by:  odf1o2  16593  neiptopnei  19633  cnextcn  20567
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