Detailed syntax breakdown of Definition df-ii
| Step | Hyp | Ref
| Expression |
| 1 | | cii 24901 |
. 2
class
II |
| 2 | | cabs 15273 |
. . . . 5
class
abs |
| 3 | | cmin 11492 |
. . . . 5
class
− |
| 4 | 2, 3 | ccom 5689 |
. . . 4
class (abs
∘ − ) |
| 5 | | cc0 11155 |
. . . . . 6
class
0 |
| 6 | | c1 11156 |
. . . . . 6
class
1 |
| 7 | | cicc 13390 |
. . . . . 6
class
[,] |
| 8 | 5, 6, 7 | co 7431 |
. . . . 5
class
(0[,]1) |
| 9 | 8, 8 | cxp 5683 |
. . . 4
class ((0[,]1)
× (0[,]1)) |
| 10 | 4, 9 | cres 5687 |
. . 3
class ((abs
∘ − ) ↾ ((0[,]1) × (0[,]1))) |
| 11 | | cmopn 21354 |
. . 3
class
MetOpen |
| 12 | 10, 11 | cfv 6561 |
. 2
class
(MetOpen‘((abs ∘ − ) ↾ ((0[,]1) ×
(0[,]1)))) |
| 13 | 1, 12 | wceq 1540 |
1
wff II =
(MetOpen‘((abs ∘ − ) ↾ ((0[,]1) ×
(0[,]1)))) |