Detailed syntax breakdown of Definition df-cnvrefs
Step | Hyp | Ref
| Expression |
1 | | ccnvrefs 36077 |
. 2
class
CnvRefs |
2 | | cid 5454 |
. . . . 5
class
I |
3 | | vx |
. . . . . . . 8
setvar 𝑥 |
4 | 3 | cv 1542 |
. . . . . . 7
class 𝑥 |
5 | 4 | cdm 5551 |
. . . . . 6
class dom 𝑥 |
6 | 4 | crn 5552 |
. . . . . 6
class ran 𝑥 |
7 | 5, 6 | cxp 5549 |
. . . . 5
class (dom
𝑥 × ran 𝑥) |
8 | 2, 7 | cin 3865 |
. . . 4
class ( I ∩
(dom 𝑥 × ran 𝑥)) |
9 | 4, 7 | cin 3865 |
. . . 4
class (𝑥 ∩ (dom 𝑥 × ran 𝑥)) |
10 | | cssr 36073 |
. . . . 5
class
S |
11 | 10 | ccnv 5550 |
. . . 4
class ◡ S |
12 | 8, 9, 11 | wbr 5053 |
. . 3
wff ( I ∩
(dom 𝑥 × ran 𝑥))◡ S (𝑥 ∩ (dom 𝑥 × ran 𝑥)) |
13 | 12, 3 | cab 2714 |
. 2
class {𝑥 ∣ ( I ∩ (dom 𝑥 × ran 𝑥))◡ S
(𝑥 ∩ (dom 𝑥 × ran 𝑥))} |
14 | 1, 13 | wceq 1543 |
1
wff CnvRefs =
{𝑥 ∣ ( I ∩ (dom
𝑥 × ran 𝑥))◡ S (𝑥 ∩ (dom 𝑥 × ran 𝑥))} |