Step | Hyp | Ref
| Expression |
1 | | df-mpt 5653 |
. . 3
  
               |
2 | | enmap1lem1.1 |
. . 3

      |
3 | | opelres 4951 |
. . . . 5
  
               
   Compose
                     
  Compose
     |
4 | | elima 4755 |
. . . . . . . . 9
  
                  Compose  Compose               
       |
5 | | trtxp 5782 |
. . . . . . . . . . . 12
               
                          |
6 | | brco 4884 |
. . . . . . . . . . . . . 14
                                     |
7 | | ancom 437 |
. . . . . . . . . . . . . . . 16
                                     |
8 | | brin 4694 |
. . . . . . . . . . . . . . . . . 18
                               |
9 | | vex 2863 |
. . . . . . . . . . . . . . . . . . . . 21
 |
10 | | brxp 4813 |
. . . . . . . . . . . . . . . . . . . . 21
                   
   |
11 | 9, 10 | mpbiran2 885 |
. . . . . . . . . . . . . . . . . . . 20
                     |
12 | | eliniseg 5021 |
. . . . . . . . . . . . . . . . . . . 20
            |
13 | 11, 12 | bitri 240 |
. . . . . . . . . . . . . . . . . . 19
                |
14 | 13 | anbi1i 676 |
. . . . . . . . . . . . . . . . . 18
                        |
15 | | vex 2863 |
. . . . . . . . . . . . . . . . . . 19
 |
16 | 15, 9 | op1st2nd 5791 |
. . . . . . . . . . . . . . . . . 18
            |
17 | 8, 14, 16 | 3bitri 262 |
. . . . . . . . . . . . . . . . 17
                   |
18 | 17 | anbi1i 676 |
. . . . . . . . . . . . . . . 16
                    
      |
19 | 7, 18 | bitri 240 |
. . . . . . . . . . . . . . 15
                           |
20 | 19 | exbii 1582 |
. . . . . . . . . . . . . 14
                               |
21 | 15, 9 | opex 4589 |
. . . . . . . . . . . . . . 15
    |
22 | | breq2 4644 |
. . . . . . . . . . . . . . 15
               |
23 | 21, 22 | ceqsexv 2895 |
. . . . . . . . . . . . . 14
     
           |
24 | 6, 20, 23 | 3bitri 262 |
. . . . . . . . . . . . 13
                       |
25 | 24 | anbi1i 676 |
. . . . . . . . . . . 12
                               |
26 | | vex 2863 |
. . . . . . . . . . . . 13
 |
27 | 21, 26 | op1st2nd 5791 |
. . . . . . . . . . . 12
                  |
28 | 5, 25, 27 | 3bitri 262 |
. . . . . . . . . . 11
               
             |
29 | 28 | rexbii 2640 |
. . . . . . . . . 10
 
Compose               
      Compose         |
30 | | risset 2662 |
. . . . . . . . . 10
       Compose  Compose         |
31 | 29, 30 | bitr4i 243 |
. . . . . . . . 9
 
Compose               
           Compose  |
32 | 4, 31 | bitri 240 |
. . . . . . . 8
  
                  Compose       Compose  |
33 | | df-br 4641 |
. . . . . . . 8
  
 Compose
      Compose  |
34 | 32, 33 | bitr4i 243 |
. . . . . . 7
  
                  Compose   
Compose   |
35 | | brcomposeg 5820 |
. . . . . . . 8
 
    
Compose  
   |
36 | 15, 9, 35 | mp2an 653 |
. . . . . . 7
  
 Compose
    |
37 | | eqcom 2355 |
. . . . . . 7
       |
38 | 34, 36, 37 | 3bitri 262 |
. . . . . 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 |
. . . . . . . . . 10
 |
44 | 43 | cnvex 5103 |
. . . . . . . . 9
  |
45 | | snex 4112 |
. . . . . . . . 9
 
 |
46 | 44, 45 | imaex 4748 |
. . . . . . . 8
      
 |
47 | | vvex 4110 |
. . . . . . . 8
 |
48 | 46, 47 | xpex 5116 |
. . . . . . 7
        
 |
49 | | 2ndex 5113 |
. . . . . . 7
 |
50 | 48, 49 | inex 4106 |
. . . . . 6
            |
51 | 50, 43 | coex 4751 |
. . . . 5
              |
52 | 51, 49 | 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
 |