Users' Mathboxes Mathbox for Frédéric Liné < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  df-dia Unicode version

Definition df-dia 25083
Description:  ph eventually holds iff it is not true that  -.  ph always holds. (Contributed by FL, 22-Feb-2011.)
Assertion
Ref Expression
df-dia  |-  ( <> ph  <->  -. 
[.]  -.  ph )

Detailed syntax breakdown of Definition df-dia
StepHypRef Expression
1 wph . . 3  wff  ph
21wdia 25074 . 2  wff  <> ph
31wn 3 . . . 4  wff  -.  ph
43wbox 25073 . . 3  wff  [.]  -.  ph
54wn 3 . 2  wff  -.  [.]  -. 
ph
62, 5wb 176 1  wff  ( <> ph  <->  -. 
[.]  -.  ph )
Colors of variables: wff set class
This definition is referenced by:  boxeq  25090  diaimi  25091  notev  25093  ltl4ev  25095  diaimd  25113  evevifev  25117
  Copyright terms: Public domain W3C validator