Step | Hyp | Ref
| Expression |
1 | | elex 2750 |
. 2
 Omni   |
2 | | simpl 109 |
. . 3
  WOmni
Markov
WOmni |
3 | 2 | elexd 2752 |
. 2
  WOmni
Markov
  |
4 | | 1n0 6435 |
. . . . . . . . . . . . . . 15
 |
5 | 4 | nesymi 2393 |
. . . . . . . . . . . . . 14
 |
6 | | eqeq1 2184 |
. . . . . . . . . . . . . 14
    
    
   |
7 | 5, 6 | mtbiri 675 |
. . . . . . . . . . . . 13
    
      |
8 | 7 | reximi 2574 |
. . . . . . . . . . . 12
     

      |
9 | | rexnalim 2466 |
. . . . . . . . . . . 12
             |
10 | 8, 9 | syl 14 |
. . . . . . . . . . 11
     

      |
11 | 10 | orim1i 760 |
. . . . . . . . . 10
       
                   |
12 | 11 | orcomd 729 |
. . . . . . . . 9
       
      
            |
13 | | df-dc 835 |
. . . . . . . . 9
DECID 
                  |
14 | 12, 13 | sylibr 134 |
. . . . . . . 8
       
    
DECID        |
15 | 14 | adantl 277 |
. . . . . . 7
         
          
DECID        |
16 | | simpr 110 |
. . . . . . . . 9
         
          
 
    
       |
17 | 16 | orcomd 729 |
. . . . . . . 8
         
          
 
   

       |
18 | 17 | ord 724 |
. . . . . . 7
         
          
      
       |
19 | 15, 18 | jca 306 |
. . . . . 6
         
          
DECID

     
   

        |
20 | | simprl 529 |
. . . . . . . . 9
        DECID      

           
DECID        |
21 | 20, 13 | sylib 122 |
. . . . . . . 8
        DECID      

           
 
   
        |
22 | | simprr 531 |
. . . . . . . . 9
        DECID      

           
      
       |
23 | 22 | orim2d 788 |
. . . . . . . 8
        DECID      

           
  
           
             |
24 | 21, 23 | mpd 13 |
. . . . . . 7
        DECID      

           
 
   

       |
25 | 24 | orcomd 729 |
. . . . . 6
        DECID      

           
 
    
       |
26 | 19, 25 | impbida 596 |
. . . . 5
             

     DECID      

              |
27 | 26 | pm5.74da 443 |
. . . 4
        
                DECID 
   
                 |
28 | 27 | albidv 1824 |
. . 3
          
    
     
       DECID      

               |
29 | | isomni 7136 |
. . 3
 
Omni              
         |
30 | | iswomni 7165 |
. . . . . 6
 
WOmni        DECID 
        |
31 | | ismkv 7153 |
. . . . . 6
 
Markov                        |
32 | 30, 31 | anbi12d 473 |
. . . . 5
   WOmni Markov         DECID 
                             |
33 | | 19.26 1481 |
. . . . 5
         DECID 
                                DECID 
                            |
34 | 32, 33 | bitr4di 198 |
. . . 4
   WOmni Markov         DECID 
                           |
35 | | jcab 603 |
. . . . 5
      DECID 
   
                   
DECID                            |
36 | 35 | albii 1470 |
. . . 4
        DECID 
   
                      DECID 
                          |
37 | 34, 36 | bitr4di 198 |
. . 3
   WOmni Markov        DECID 
   
                 |
38 | 28, 29, 37 | 3bitr4d 220 |
. 2
 
Omni  WOmni
Markov   |
39 | 1, 3, 38 | pm5.21nii 704 |
1
 Omni  WOmni Markov  |