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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-line2 | Structured version Visualization version Unicode version |
Description: Define the Line function. This function generates the line passing through the distinct points and . Adapted from definition 6.14 of [Schwabhauser] p. 45. (Contributed by Scott Fenton, 25-Oct-2013.) |
Ref | Expression |
---|---|
df-line2 | Line |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cline2 32241 | . 2 Line | |
2 | va | . . . . . . . 8 | |
3 | 2 | cv 1482 | . . . . . . 7 |
4 | vn | . . . . . . . . 9 | |
5 | 4 | cv 1482 | . . . . . . . 8 |
6 | cee 25768 | . . . . . . . 8 | |
7 | 5, 6 | cfv 5888 | . . . . . . 7 |
8 | 3, 7 | wcel 1990 | . . . . . 6 |
9 | vb | . . . . . . . 8 | |
10 | 9 | cv 1482 | . . . . . . 7 |
11 | 10, 7 | wcel 1990 | . . . . . 6 |
12 | 3, 10 | wne 2794 | . . . . . 6 |
13 | 8, 11, 12 | w3a 1037 | . . . . 5 |
14 | vl | . . . . . . 7 | |
15 | 14 | cv 1482 | . . . . . 6 |
16 | 3, 10 | cop 4183 | . . . . . . 7 |
17 | ccolin 32144 | . . . . . . . 8 | |
18 | 17 | ccnv 5113 | . . . . . . 7 |
19 | 16, 18 | cec 7740 | . . . . . 6 |
20 | 15, 19 | wceq 1483 | . . . . 5 |
21 | 13, 20 | wa 384 | . . . 4 |
22 | cn 11020 | . . . 4 | |
23 | 21, 4, 22 | wrex 2913 | . . 3 |
24 | 23, 2, 9, 14 | coprab 6651 | . 2 |
25 | 1, 24 | wceq 1483 | 1 Line |
Colors of variables: wff setvar class |
This definition is referenced by: funline 32249 linedegen 32250 fvline 32251 ellines 32259 |
Copyright terms: Public domain | W3C validator |