Detailed syntax breakdown of Definition df-rrh
Step | Hyp | Ref
| Expression |
1 | | crrh 30037 |
. 2
class
ℝHom |
2 | | vr |
. . 3
setvar 𝑟 |
3 | | cvv 3200 |
. . 3
class
V |
4 | 2 | cv 1482 |
. . . . 5
class 𝑟 |
5 | | cqqh 30016 |
. . . . 5
class
ℚHom |
6 | 4, 5 | cfv 5888 |
. . . 4
class
(ℚHom‘𝑟) |
7 | | cioo 12175 |
. . . . . . 7
class
(,) |
8 | 7 | crn 5115 |
. . . . . 6
class ran
(,) |
9 | | ctg 16098 |
. . . . . 6
class
topGen |
10 | 8, 9 | cfv 5888 |
. . . . 5
class
(topGen‘ran (,)) |
11 | | ctopn 16082 |
. . . . . 6
class
TopOpen |
12 | 4, 11 | cfv 5888 |
. . . . 5
class
(TopOpen‘𝑟) |
13 | | ccnext 21863 |
. . . . 5
class
CnExt |
14 | 10, 12, 13 | co 6650 |
. . . 4
class
((topGen‘ran (,))CnExt(TopOpen‘𝑟)) |
15 | 6, 14 | cfv 5888 |
. . 3
class
(((topGen‘ran (,))CnExt(TopOpen‘𝑟))‘(ℚHom‘𝑟)) |
16 | 2, 3, 15 | cmpt 4729 |
. 2
class (𝑟 ∈ V ↦
(((topGen‘ran (,))CnExt(TopOpen‘𝑟))‘(ℚHom‘𝑟))) |
17 | 1, 16 | wceq 1483 |
1
wff ℝHom
= (𝑟 ∈ V ↦
(((topGen‘ran (,))CnExt(TopOpen‘𝑟))‘(ℚHom‘𝑟))) |