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Definition df-con2 25495
Description: Definition of concurrent lines. Definition 6 of [AitkenIBG] p. 3. (For my private use only. Don't use.) (Contributed by FL, 25-Feb-2016.)
Assertion
Ref Expression
df-con2  |- con  =  ( f  e. Ig  |->  { x  e.  ~P (PLines `  f
)  |  |^| x  =/=  (/) } )
Distinct variable group:    x, f

Detailed syntax breakdown of Definition df-con2
StepHypRef Expression
1 ccon2 25494 . 2  class con
2 vf . . 3  set  f
3 cig 25459 . . 3  class Ig
4 vx . . . . . . 7  set  x
54cv 1623 . . . . . 6  class  x
65cint 3863 . . . . 5  class  |^| x
7 c0 3456 . . . . 5  class  (/)
86, 7wne 2447 . . . 4  wff  |^| x  =/=  (/)
92cv 1623 . . . . . 6  class  f
10 cplines 25457 . . . . . 6  class PLines
119, 10cfv 5221 . . . . 5  class  (PLines `  f )
1211cpw 3626 . . . 4  class  ~P (PLines `  f )
138, 4, 12crab 2548 . . 3  class  { x  e.  ~P (PLines `  f
)  |  |^| x  =/=  (/) }
142, 3, 13cmpt 4078 . 2  class  ( f  e. Ig  |->  { x  e. 
~P (PLines `  f )  |  |^| x  =/=  (/) } )
151, 14wceq 1624 1  wff con  =  ( f  e. Ig  |->  { x  e.  ~P (PLines `  f
)  |  |^| x  =/=  (/) } )
Colors of variables: wff set class
This definition is referenced by:  isconcl1b  25496
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