Metamath Proof Explorer


Definition df-lines2

Description: Define the set of all lines. Definition 6.14, part 2 of Schwabhauser p. 45. See ellines for membership. (Contributed by Scott Fenton, 28-Oct-2013)

Ref Expression
Assertion df-lines2 LinesEE = ran Line

Detailed syntax breakdown

Step Hyp Ref Expression
0 clines2 ⊢ LinesEE
1 cline2 ⊢ Line
2 1 crn ⊢ ran Line
3 0 2 wceq ⊢ LinesEE = ran Line