MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  pm5.74ri Unicode version

Theorem pm5.74ri 246
Description: Distribution of implication over biconditional (reverse inference rule). (Contributed by NM, 1-Aug-1994.)
Hypothesis
Ref Expression
pm5.74ri.1
Assertion
Ref Expression
pm5.74ri

Proof of Theorem pm5.74ri
StepHypRef Expression
1 pm5.74ri.1 . 2
2 pm5.74 244 . 2
31, 2mpbir 209 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  <->wb 184
This theorem is referenced by:  bitrd  253  bibi2d  318  tbt  344  cbval2  2027  sbied  2151  sbco2d  2159  axgroth6  9227  isprm2  14225  ufileu  20420  bj-cbval2v  34302
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
  Copyright terms: Public domain W3C validator