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Definition df-dia 24980
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 24971 . 2  wff  <> ph
31wn 3 . . . 4  wff  -.  ph
43wbox 24970 . . 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  24987  diaimi  24988  notev  24990  ltl4ev  24992  diaimd  25010  evevifev  25014
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