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Mirrors > Home > MPE Home > Th. List > df-rag | Structured version Visualization version Unicode version |
Description: Define the class of right angles. Definition 8.1 of [Schwabhauser] p. 57. See israg 25592. (Contributed by Thierry Arnoux, 25-Aug-2019.) |
Ref | Expression |
---|---|
df-rag | ∟G Word pInvG |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | crag 25588 | . 2 ∟G | |
2 | vg | . . 3 | |
3 | cvv 3200 | . . 3 | |
4 | vw | . . . . . . . 8 | |
5 | 4 | cv 1482 | . . . . . . 7 |
6 | chash 13117 | . . . . . . 7 | |
7 | 5, 6 | cfv 5888 | . . . . . 6 |
8 | c3 11071 | . . . . . 6 | |
9 | 7, 8 | wceq 1483 | . . . . 5 |
10 | cc0 9936 | . . . . . . . 8 | |
11 | 10, 5 | cfv 5888 | . . . . . . 7 |
12 | c2 11070 | . . . . . . . 8 | |
13 | 12, 5 | cfv 5888 | . . . . . . 7 |
14 | 2 | cv 1482 | . . . . . . . 8 |
15 | cds 15950 | . . . . . . . 8 | |
16 | 14, 15 | cfv 5888 | . . . . . . 7 |
17 | 11, 13, 16 | co 6650 | . . . . . 6 |
18 | c1 9937 | . . . . . . . . . 10 | |
19 | 18, 5 | cfv 5888 | . . . . . . . . 9 |
20 | cmir 25547 | . . . . . . . . . 10 pInvG | |
21 | 14, 20 | cfv 5888 | . . . . . . . . 9 pInvG |
22 | 19, 21 | cfv 5888 | . . . . . . . 8 pInvG |
23 | 13, 22 | cfv 5888 | . . . . . . 7 pInvG |
24 | 11, 23, 16 | co 6650 | . . . . . 6 pInvG |
25 | 17, 24 | wceq 1483 | . . . . 5 pInvG |
26 | 9, 25 | wa 384 | . . . 4 pInvG |
27 | cbs 15857 | . . . . . 6 | |
28 | 14, 27 | cfv 5888 | . . . . 5 |
29 | 28 | cword 13291 | . . . 4 Word |
30 | 26, 4, 29 | crab 2916 | . . 3 Word pInvG |
31 | 2, 3, 30 | cmpt 4729 | . 2 Word pInvG |
32 | 1, 31 | wceq 1483 | 1 ∟G Word pInvG |
Colors of variables: wff setvar class |
This definition is referenced by: israg 25592 |
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