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Definition df-col 25458
Description: Definition of collinear points. Definition 5 of [AitkenIBG] p. 3. (Contributed by FL, 1-Apr-2016.)
Assertion
Ref Expression
df-col  |- coln  =  ( f  e. Ig  |->  { x  |  E. l  e.  (PLines `  f ) x  C_  l } )
Distinct variable group:    x, f, l

Detailed syntax breakdown of Definition df-col
StepHypRef Expression
1 ccol 25457 . 2  class coln
2 vf . . 3  set  f
3 cig 25427 . . 3  class Ig
4 vx . . . . . . 7  set  x
54cv 1618 . . . . . 6  class  x
6 vl . . . . . . 7  set  l
76cv 1618 . . . . . 6  class  l
85, 7wss 3127 . . . . 5  wff  x  C_  l
92cv 1618 . . . . . 6  class  f
10 cplines 25425 . . . . . 6  class PLines
119, 10cfv 4673 . . . . 5  class  (PLines `  f )
128, 6, 11wrex 2519 . . . 4  wff  E. l  e.  (PLines `  f )
x  C_  l
1312, 4cab 2244 . . 3  class  { x  |  E. l  e.  (PLines `  f ) x  C_  l }
142, 3, 13cmpt 4051 . 2  class  ( f  e. Ig  |->  { x  |  E. l  e.  (PLines `  f ) x  C_  l } )
151, 14wceq 1619 1  wff coln  =  ( f  e. Ig  |->  { x  |  E. l  e.  (PLines `  f ) x  C_  l } )
Colors of variables: wff set class
This definition is referenced by:  iscola2  25459
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