Step | Hyp | Ref
| Expression |
1 | | opabssxp 4701 |
. . 3
     

  
  |
2 | 1 | a1i 9 |
. 2
 

DECID
     

  
   |
3 | | neirr 2356 |
. . . . . 6
 |
4 | | df-br 4005 |
. . . . . . 7
     
 

  
  
     

    |
5 | | neeq1 2360 |
. . . . . . . . 9
 
   |
6 | | neeq2 2361 |
. . . . . . . . 9
 
   |
7 | 5, 6 | opelopab2 4271 |
. . . . . . . 8
 
          

 
   |
8 | 7 | anidms 397 |
. . . . . . 7
        
 

 
   |
9 | 4, 8 | bitrid 192 |
. . . . . 6
        

      |
10 | 3, 9 | mtbiri 675 |
. . . . 5
     
 

     |
11 | 10 | rgen 2530 |
. . . 4

    
 

    |
12 | 11 | a1i 9 |
. . 3
 

DECID
       

     |
13 | | df-br 4005 |
. . . . . . . 8
     
 

  
  
     

    |
14 | | neeq2 2361 |
. . . . . . . . 9
 
   |
15 | 5, 14 | opelopab2 4271 |
. . . . . . . 8
 
          

 
   |
16 | 13, 15 | bitrid 192 |
. . . . . . 7
 
        

      |
17 | | df-br 4005 |
. . . . . . . 8
     
 

  
  
     

    |
18 | | neeq1 2360 |
. . . . . . . . . . 11
 
   |
19 | | neeq2 2361 |
. . . . . . . . . . 11
 
   |
20 | 18, 19 | opelopab2 4271 |
. . . . . . . . . 10
 
          

 
   |
21 | 20 | ancoms 268 |
. . . . . . . . 9
 
          

 
   |
22 | | necom 2431 |
. . . . . . . . 9

  |
23 | 21, 22 | bitrdi 196 |
. . . . . . . 8
 
          

 
   |
24 | 17, 23 | bitrid 192 |
. . . . . . 7
 
        

      |
25 | 16, 24 | bitr4d 191 |
. . . . . 6
 
        

         

      |
26 | 25 | biimpd 144 |
. . . . 5
 
        

         

      |
27 | 26 | rgen2 2563 |
. . . 4


     
 

         

     |
28 | 27 | a1i 9 |
. . 3
 

DECID
 
       

         

      |
29 | 12, 28 | jca 306 |
. 2
 

DECID
 
    
 

    
       

         

       |
30 | 16 | 3adant3 1017 |
. . . . . 6
 
        

      |
31 | 30 | adantl 277 |
. . . . 5
   
DECID

 
     
 

  
   |
32 | | simpr 110 |
. . . . . . . . . . 11
    

DECID

      |
33 | | simplr 528 |
. . . . . . . . . . 11
    

DECID

      |
34 | 32, 33 | eqnetrrd 2373 |
. . . . . . . . . 10
    

DECID

      |
35 | 34 | necomd 2433 |
. . . . . . . . 9
    

DECID

      |
36 | 35 | olcd 734 |
. . . . . . . 8
    

DECID

    
   |
37 | | simpr 110 |
. . . . . . . . . 10
    

DECID

  
   |
38 | 37 | neqned 2354 |
. . . . . . . . 9
    

DECID

  
   |
39 | 38 | orcd 733 |
. . . . . . . 8
    

DECID

  
 
   |
40 | | equequ2 1713 |
. . . . . . . . . . 11
 
   |
41 | 40 | dcbid 838 |
. . . . . . . . . 10
 DECID
DECID
   |
42 | | equequ1 1712 |
. . . . . . . . . . . . 13
 
   |
43 | 42 | dcbid 838 |
. . . . . . . . . . . 12
 DECID
DECID
   |
44 | 43 | ralbidv 2477 |
. . . . . . . . . . 11
  
DECID
 DECID    |
45 | | simpll 527 |
. . . . . . . . . . 11
     DECID 
   

DECID
  |
46 | | simplr1 1039 |
. . . . . . . . . . 11
     DECID 
     |
47 | 44, 45, 46 | rspcdva 2847 |
. . . . . . . . . 10
     DECID 
   
DECID
  |
48 | | simplr3 1041 |
. . . . . . . . . 10
     DECID 
     |
49 | 41, 47, 48 | rspcdva 2847 |
. . . . . . . . 9
     DECID 
  
DECID
  |
50 | | exmiddc 836 |
. . . . . . . . 9
DECID

   |
51 | 49, 50 | syl 14 |
. . . . . . . 8
     DECID 
       |
52 | 36, 39, 51 | mpjaodan 798 |
. . . . . . 7
     DECID 
       |
53 | | df-br 4005 |
. . . . . . . . . 10
     
 

  
  
     

    |
54 | | neeq2 2361 |
. . . . . . . . . . . 12
 
   |
55 | 5, 54 | opelopab2 4271 |
. . . . . . . . . . 11
 
          

 
   |
56 | 55 | 3adant2 1016 |
. . . . . . . . . 10
 
          

 
   |
57 | 53, 56 | bitrid 192 |
. . . . . . . . 9
 
        

      |
58 | | df-br 4005 |
. . . . . . . . . 10
     
 

  
  
     

    |
59 | | neeq2 2361 |
. . . . . . . . . . . 12
 
   |
60 | 18, 59 | opelopab2 4271 |
. . . . . . . . . . 11
 
          

 
   |
61 | 60 | 3adant1 1015 |
. . . . . . . . . 10
 
          

 
   |
62 | 58, 61 | bitrid 192 |
. . . . . . . . 9
 
        

      |
63 | 57, 62 | orbi12d 793 |
. . . . . . . 8
 
                    

         |
64 | 63 | ad2antlr 489 |
. . . . . . 7
     DECID 
           

         

         |
65 | 52, 64 | mpbird 167 |
. . . . . 6
     DECID 
          

         

      |
66 | 65 | ex 115 |
. . . . 5
   
DECID

 

     
 

         

       |
67 | 31, 66 | sylbid 150 |
. . . 4
   
DECID

 
     
 

          

         

       |
68 | 67 | ralrimivvva 2560 |
. . 3
 

DECID
 

       

                     

       |
69 | 16 | notbid 667 |
. . . . . . 7
 
            
   |
70 | | df-ne 2348 |
. . . . . . . 8

  |
71 | 70 | notbii 668 |
. . . . . . 7

  |
72 | 69, 71 | bitrdi 196 |
. . . . . 6
 
                |
73 | 72 | adantl 277 |
. . . . 5
   
DECID

 
     
 

  
   |
74 | | equequ2 1713 |
. . . . . . . 8
 
   |
75 | 74 | dcbid 838 |
. . . . . . 7
 DECID
DECID
   |
76 | | simpl 109 |
. . . . . . . 8
   
DECID

 


DECID
  |
77 | | simprl 529 |
. . . . . . . 8
   
DECID

 
  |
78 | 44, 76, 77 | rspcdva 2847 |
. . . . . . 7
   
DECID

 

DECID
  |
79 | | simprr 531 |
. . . . . . 7
   
DECID

 
  |
80 | 75, 78, 79 | rspcdva 2847 |
. . . . . 6
   
DECID

 
DECID
  |
81 | | notnotrdc 843 |
. . . . . 6
DECID

   |
82 | 80, 81 | syl 14 |
. . . . 5
   
DECID

 

   |
83 | 73, 82 | sylbid 150 |
. . . 4
   
DECID

 
     
 

      |
84 | 83 | ralrimivva 2559 |
. . 3
 

DECID
 

              |
85 | 68, 84 | jca 306 |
. 2
 

DECID
 


     
 

          

         

     

       

       |
86 | | dftap2 7250 |
. 2
          TAp     
 

            

                       

      


       

                     

     

       

        |
87 | 2, 29, 85, 86 | syl3anbrc 1181 |
1
 

DECID
     

  TAp   |