Detailed syntax breakdown of Definition df-topsp
Step | Hyp | Ref
| Expression |
1 | | ctps 12822 |
. 2
class
TopSp |
2 | | vf |
. . . . . 6
setvar 𝑓 |
3 | 2 | cv 1347 |
. . . . 5
class 𝑓 |
4 | | ctopn 12580 |
. . . . 5
class
TopOpen |
5 | 3, 4 | cfv 5198 |
. . . 4
class
(TopOpen‘𝑓) |
6 | | cbs 12416 |
. . . . . 6
class
Base |
7 | 3, 6 | cfv 5198 |
. . . . 5
class
(Base‘𝑓) |
8 | | ctopon 12802 |
. . . . 5
class
TopOn |
9 | 7, 8 | cfv 5198 |
. . . 4
class
(TopOn‘(Base‘𝑓)) |
10 | 5, 9 | wcel 2141 |
. . 3
wff
(TopOpen‘𝑓)
∈ (TopOn‘(Base‘𝑓)) |
11 | 10, 2 | cab 2156 |
. 2
class {𝑓 ∣ (TopOpen‘𝑓) ∈
(TopOn‘(Base‘𝑓))} |
12 | 1, 11 | wceq 1348 |
1
wff TopSp =
{𝑓 ∣
(TopOpen‘𝑓) ∈
(TopOn‘(Base‘𝑓))} |