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Definition df-Seg 26149
Description: The non-degenerated segments. (For my private use only. Don't use.) (Contributed by FL, 7-Mar-2016.)
Assertion
Ref Expression
df-Seg  |- Segments  =  ( f  e. Ibg  |->  ( ( seg `  f )
" ( ( (PPoints `  f )  X.  (PPoints `  f ) )  \  _I  ) ) )

Detailed syntax breakdown of Definition df-Seg
StepHypRef Expression
1 cSeg 26148 . 2  class Segments
2 vf . . 3  set  f
3 cibg 26107 . . 3  class Ibg
42cv 1622 . . . . 5  class  f
5 cseg 26130 . . . . 5  class  seg
64, 5cfv 5255 . . . 4  class  ( seg `  f )
7 cpoints 26056 . . . . . . 7  class PPoints
84, 7cfv 5255 . . . . . 6  class  (PPoints `  f
)
98, 8cxp 4687 . . . . 5  class  ( (PPoints `  f )  X.  (PPoints `  f ) )
10 cid 4304 . . . . 5  class  _I
119, 10cdif 3149 . . . 4  class  ( ( (PPoints `  f )  X.  (PPoints `  f )
)  \  _I  )
126, 11cima 4692 . . 3  class  ( ( seg `  f )
" ( ( (PPoints `  f )  X.  (PPoints `  f ) )  \  _I  ) )
132, 3, 12cmpt 4077 . 2  class  ( f  e. Ibg  |->  ( ( seg `  f ) " (
( (PPoints `  f
)  X.  (PPoints `  f
) )  \  _I  ) ) )
141, 13wceq 1623 1  wff Segments  =  ( f  e. Ibg  |->  ( ( seg `  f )
" ( ( (PPoints `  f )  X.  (PPoints `  f ) )  \  _I  ) ) )
Colors of variables: wff set class
This definition is referenced by:  nds  26150
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