ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  2th Structured version   Unicode version

Theorem 2th 163
Description: Two truths are equivalent. (Contributed by NM, 18-Aug-1993.)
Hypotheses
Ref Expression
2th.1
2th.2
Assertion
Ref Expression
2th

Proof of Theorem 2th
StepHypRef Expression
1 2th.2 . . 3
21a1i 9 . 2
3 2th.1 . . 3
43a1i 9 . 2
52, 4impbii 117 1
Colors of variables: wff set class
Syntax hints:   wb 98
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia2 100  ax-ia3 101
This theorem depends on definitions:  df-bi 110
This theorem is referenced by:  trujust  1230  dftru2  1236  bitru  1240  vjust  2536  pwv  3553  int0  3603  0iin  3689  snnex  4131  ruv  4212  fo1st  5707  fo2nd  5708  eqer  6049  bdth  7058
  Copyright terms: Public domain W3C validator