Users' Mathboxes Mathbox for Alan Sare < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  notnotrALT Structured version   Visualization version   Unicode version

Theorem notnotrALT 38735
Description: Converse of double negation. Alternate proof of notnotr 125. This proof is notnotrALTVD 39151 automatically translated and minimized. (Contributed by Alan Sare, 21-Apr-2013.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
notnotrALT  |-  ( -. 
-.  ph  ->  ph )

Proof of Theorem notnotrALT
StepHypRef Expression
1 id 22 . 2  |-  ( -. 
-.  ph  ->  -.  -.  ph )
2 pm2.21 120 . 2  |-  ( -. 
-.  ph  ->  ( -. 
ph  ->  -.  -.  -.  ph ) )
31, 2mt4d 152 1  |-  ( -. 
-.  ph  ->  ph )
Colors of variables: wff setvar class
Syntax hints:   -. wn 3    -> wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator