Detailed syntax breakdown of Definition df-cnvrefs
| Step | Hyp | Ref
| Expression |
| 1 | | ccnvrefs 38189 |
. 2
class
CnvRefs |
| 2 | | cid 5577 |
. . . . 5
class
I |
| 3 | | vx |
. . . . . . . 8
setvar 𝑥 |
| 4 | 3 | cv 1539 |
. . . . . . 7
class 𝑥 |
| 5 | 4 | cdm 5685 |
. . . . . 6
class dom 𝑥 |
| 6 | 4 | crn 5686 |
. . . . . 6
class ran 𝑥 |
| 7 | 5, 6 | cxp 5683 |
. . . . 5
class (dom
𝑥 × ran 𝑥) |
| 8 | 2, 7 | cin 3950 |
. . . 4
class ( I ∩
(dom 𝑥 × ran 𝑥)) |
| 9 | 4, 7 | cin 3950 |
. . . 4
class (𝑥 ∩ (dom 𝑥 × ran 𝑥)) |
| 10 | | cssr 38185 |
. . . . 5
class
S |
| 11 | 10 | ccnv 5684 |
. . . 4
class ◡ S |
| 12 | 8, 9, 11 | wbr 5143 |
. . 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 1540 |
1
wff CnvRefs =
{𝑥 ∣ ( I ∩ (dom
𝑥 × ran 𝑥))◡ S (𝑥 ∩ (dom 𝑥 × ran 𝑥))} |