Detailed syntax breakdown of Definition df-dih
| Step | Hyp | Ref
| Expression |
| 1 | | cdih 36517 |
. 2
 |
| 2 | | vk |
. . 3
 |
| 3 | | cvv 3200 |
. . 3
 |
| 4 | | vw |
. . . 4
 |
| 5 | 2 | cv 1482 |
. . . . 5
 |
| 6 | | clh 35270 |
. . . . 5
 |
| 7 | 5, 6 | cfv 5888 |
. . . 4
     |
| 8 | | vx |
. . . . 5
 |
| 9 | | cbs 15857 |
. . . . . 6
 |
| 10 | 5, 9 | cfv 5888 |
. . . . 5
     |
| 11 | 8 | cv 1482 |
. . . . . . 7
 |
| 12 | 4 | cv 1482 |
. . . . . . 7
 |
| 13 | | cple 15948 |
. . . . . . . 8
 |
| 14 | 5, 13 | cfv 5888 |
. . . . . . 7
     |
| 15 | 11, 12, 14 | wbr 4653 |
. . . . . 6
       |
| 16 | | cdib 36427 |
. . . . . . . . 9
 |
| 17 | 5, 16 | cfv 5888 |
. . . . . . . 8
     |
| 18 | 12, 17 | cfv 5888 |
. . . . . . 7
         |
| 19 | 11, 18 | cfv 5888 |
. . . . . 6
             |
| 20 | | vq |
. . . . . . . . . . . . 13
 |
| 21 | 20 | cv 1482 |
. . . . . . . . . . . 12
 |
| 22 | 21, 12, 14 | wbr 4653 |
. . . . . . . . . . 11
       |
| 23 | 22 | wn 3 |
. . . . . . . . . 10
       |
| 24 | | cmee 16945 |
. . . . . . . . . . . . . 14
 |
| 25 | 5, 24 | cfv 5888 |
. . . . . . . . . . . . 13
     |
| 26 | 11, 12, 25 | co 6650 |
. . . . . . . . . . . 12
         |
| 27 | | cjn 16944 |
. . . . . . . . . . . . 13
 |
| 28 | 5, 27 | cfv 5888 |
. . . . . . . . . . . 12
     |
| 29 | 21, 26, 28 | co 6650 |
. . . . . . . . . . 11
                 |
| 30 | 29, 11 | wceq 1483 |
. . . . . . . . . 10
                 |
| 31 | 23, 30 | wa 384 |
. . . . . . . . 9
                         |
| 32 | | vu |
. . . . . . . . . . 11
 |
| 33 | 32 | cv 1482 |
. . . . . . . . . 10
 |
| 34 | | cdic 36461 |
. . . . . . . . . . . . . 14
 |
| 35 | 5, 34 | cfv 5888 |
. . . . . . . . . . . . 13
     |
| 36 | 12, 35 | cfv 5888 |
. . . . . . . . . . . 12
         |
| 37 | 21, 36 | cfv 5888 |
. . . . . . . . . . 11
             |
| 38 | 26, 18 | cfv 5888 |
. . . . . . . . . . 11
                     |
| 39 | | cdvh 36367 |
. . . . . . . . . . . . . 14
 |
| 40 | 5, 39 | cfv 5888 |
. . . . . . . . . . . . 13
     |
| 41 | 12, 40 | cfv 5888 |
. . . . . . . . . . . 12
         |
| 42 | | clsm 18049 |
. . . . . . . . . . . 12
 |
| 43 | 41, 42 | cfv 5888 |
. . . . . . . . . . 11
             |
| 44 | 37, 38, 43 | co 6650 |
. . . . . . . . . 10
                                                 |
| 45 | 33, 44 | wceq 1483 |
. . . . . . . . 9
                                                 |
| 46 | 31, 45 | wi 4 |
. . . . . . . 8
                                                                           |
| 47 | | catm 34550 |
. . . . . . . . 9
 |
| 48 | 5, 47 | cfv 5888 |
. . . . . . . 8
     |
| 49 | 46, 20, 48 | wral 2912 |
. . . . . . 7
                                                                                 |
| 50 | | clss 18932 |
. . . . . . . 8
 |
| 51 | 41, 50 | cfv 5888 |
. . . . . . 7
             |
| 52 | 49, 32, 51 | crio 6610 |
. . . . . 6
               
                                                                                 |
| 53 | 15, 19, 52 | cif 4086 |
. . . . 5
                                     
                                                                                  |
| 54 | 8, 10, 53 | cmpt 4729 |
. . . 4
                            
                                                                                                 |
| 55 | 4, 7, 54 | cmpt 4729 |
. . 3
                                 
                                                                                                  |
| 56 | 2, 3, 55 | cmpt 4729 |
. 2
                                  
                                                                                                   |
| 57 | 1, 56 | wceq 1483 |
1
                                  
                                                                                                   |