Step | Hyp | Ref
| Expression |
1 | | df-mpt 5653 |
. . 3
  
      
   
      |
2 | | enmap2lem1.1 |
. . 3

       |
3 | | opelres 4951 |
. . . . 5
  
                    Compose
                         Compose      |
4 | | trtxp 5782 |
. . . . . . . . . 10
                                      
     |
5 | | brco 4884 |
. . . . . . . . . . . 12
                
                      |
6 | | ancom 437 |
. . . . . . . . . . . . . 14
                                       |
7 | | brin 4694 |
. . . . . . . . . . . . . . . 16
                 
               |
8 | | vex 2863 |
. . . . . . . . . . . . . . . . . . 19
 |
9 | | brxp 4813 |
. . . . . . . . . . . . . . . . . . 19
                     
   |
10 | 8, 9 | mpbiran2 885 |
. . . . . . . . . . . . . . . . . 18
                       |
11 | | eliniseg 5021 |
. . . . . . . . . . . . . . . . . 18
              |
12 | 10, 11 | bitri 240 |
. . . . . . . . . . . . . . . . 17
                  |
13 | 12 | anbi2i 675 |
. . . . . . . . . . . . . . . 16
                          |
14 | | vex 2863 |
. . . . . . . . . . . . . . . . . 18
 |
15 | 14 | cnvex 5103 |
. . . . . . . . . . . . . . . . 17
  |
16 | 8, 15 | op1st2nd 5791 |
. . . . . . . . . . . . . . . 16
              |
17 | 7, 13, 16 | 3bitri 262 |
. . . . . . . . . . . . . . 15
                     |
18 | 17 | anbi1i 676 |
. . . . . . . . . . . . . 14
                             |
19 | 6, 18 | bitri 240 |
. . . . . . . . . . . . 13
                     
       |
20 | 19 | exbii 1582 |
. . . . . . . . . . . 12
                                 |
21 | 8, 15 | opex 4589 |
. . . . . . . . . . . . 13
     |
22 | | breq2 4644 |
. . . . . . . . . . . . 13
                 |
23 | 21, 22 | ceqsexv 2895 |
. . . . . . . . . . . 12
     
             |
24 | 5, 20, 23 | 3bitri 262 |
. . . . . . . . . . 11
                
        |
25 | 24 | anbi1i 676 |
. . . . . . . . . 10
                         
       |
26 | | vex 2863 |
. . . . . . . . . . 11
 |
27 | 21, 26 | op1st2nd 5791 |
. . . . . . . . . 10
                    |
28 | 4, 25, 27 | 3bitri 262 |
. . . . . . . . 9
                               |
29 | 28 | rexbii 2640 |
. . . . . . . 8
 
Compose                       Compose          |
30 | | elima 4755 |
. . . . . . . 8
  
             
     Compose  Compose                    
   |
31 | | risset 2662 |
. . . . . . . 8
        Compose
 Compose          |
32 | 29, 30, 31 | 3bitr4i 268 |
. . . . . . 7
  
             
     Compose        Compose  |
33 | | df-br 4641 |
. . . . . . 7
  
  Compose        Compose  |
34 | | brcomposeg 5820 |
. . . . . . . . 9
  
      Compose       |
35 | 8, 15, 34 | mp2an 653 |
. . . . . . . 8
  
  Compose 
 
  |
36 | | eqcom 2355 |
. . . . . . . 8
   
     |
37 | 35, 36 | bitri 240 |
. . . . . . 7
  
  Compose
     |
38 | 32, 33, 37 | 3bitr2i 264 |
. . . . . 6
  
             
     Compose      |
39 | 38 | anbi2ci 677 |
. . . . 5
                 
     Compose   
         |
40 | 3, 39 | bitri 240 |
. . . 4
  
                    Compose
     
      |
41 | 40 | opabbi2i 4867 |
. . 3
                   Compose
                |
42 | 1, 2, 41 | 3eqtr4i 2383 |
. 2
             
     Compose
    |
43 | | 1stex 4740 |
. . . . . . 7
 |
44 | | 2ndex 5113 |
. . . . . . . . . 10
 |
45 | 44 | cnvex 5103 |
. . . . . . . . 9
  |
46 | | snex 4112 |
. . . . . . . . 9
    |
47 | 45, 46 | imaex 4748 |
. . . . . . . 8
       
 |
48 | | vvex 4110 |
. . . . . . . 8
 |
49 | 47, 48 | xpex 5116 |
. . . . . . 7
         
 |
50 | 43, 49 | inex 4106 |
. . . . . 6
             |
51 | 50, 43 | coex 4751 |
. . . . 5
          
    |
52 | 51, 44 | txpex 5786 |
. . . 4
                 |
53 | | composeex 5821 |
. . . 4
Compose  |
54 | 52, 53 | imaex 4748 |
. . 3
                  Compose
 |
55 | | ovex 5552 |
. . 3
   |
56 | 54, 55 | resex 5118 |
. 2
                   Compose
    |
57 | 42, 56 | eqeltri 2423 |
1
 |