Users' Mathboxes Mathbox for Frédéric Liné < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  df-con2 Unicode version

Definition df-con2 26096
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 26095 . 2  class con
2 vf . . 3  set  f
3 cig 26060 . . 3  class Ig
4 vx . . . . . . 7  set  x
54cv 1622 . . . . . 6  class  x
65cint 3862 . . . . 5  class  |^| x
7 c0 3455 . . . . 5  class  (/)
86, 7wne 2446 . . . 4  wff  |^| x  =/=  (/)
92cv 1622 . . . . . 6  class  f
10 cplines 26058 . . . . . 6  class PLines
119, 10cfv 5255 . . . . 5  class  (PLines `  f )
1211cpw 3625 . . . 4  class  ~P (PLines `  f )
138, 4, 12crab 2547 . . 3  class  { x  e.  ~P (PLines `  f
)  |  |^| x  =/=  (/) }
142, 3, 13cmpt 4077 . 2  class  ( f  e. Ig  |->  { x  e. 
~P (PLines `  f )  |  |^| x  =/=  (/) } )
151, 14wceq 1623 1  wff con  =  ( f  e. Ig  |->  { x  e.  ~P (PLines `  f
)  |  |^| x  =/=  (/) } )
Colors of variables: wff set class
This definition is referenced by:  isconcl1b  26097
  Copyright terms: Public domain W3C validator