Step | Hyp | Ref
| Expression |
1 | | cnre 7944 |
. . 3
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2 | 1 | 3ad2ant3 1020 |
. 2
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3 | | cnre 7944 |
. . . . . . 7
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4 | 3 | 3ad2ant2 1019 |
. . . . . 6
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5 | 4 | ad2antrr 488 |
. . . . 5
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6 | | cnre 7944 |
. . . . . . . . . . 11
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7 | 6 | 3ad2ant1 1018 |
. . . . . . . . . 10
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8 | 7 | ad2antrr 488 |
. . . . . . . . 9
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9 | 8 | ad2antrr 488 |
. . . . . . . 8
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10 | | simplrl 535 |
. . . . . . . . . . . 12
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11 | | simplrr 536 |
. . . . . . . . . . . 12
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12 | | simprl 529 |
. . . . . . . . . . . . 13
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13 | 12 | ad3antrrr 492 |
. . . . . . . . . . . 12
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14 | | simprr 531 |
. . . . . . . . . . . . 13
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15 | 14 | ad3antrrr 492 |
. . . . . . . . . . . 12
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16 | | apreim 8550 |
. . . . . . . . . . . 12
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17 | 10, 11, 13, 15, 16 | syl22anc 1239 |
. . . . . . . . . . 11
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18 | | simpr 110 |
. . . . . . . . . . . 12
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19 | | simpllr 534 |
. . . . . . . . . . . 12
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20 | 18, 19 | breq12d 4013 |
. . . . . . . . . . 11
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21 | | simprl 529 |
. . . . . . . . . . . . . . . 16
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22 | 21 | ad2antrr 488 |
. . . . . . . . . . . . . . 15
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)" 
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23 | 22 | ad3antrrr 492 |
. . . . . . . . . . . . . 14
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24 | 10, 23 | readdcld 7977 |
. . . . . . . . . . . . 13
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)"     |
25 | | simprr 531 |
. . . . . . . . . . . . . . . 16
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26 | 25 | ad2antrr 488 |
. . . . . . . . . . . . . . 15
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27 | 26 | ad3antrrr 492 |
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28 | 11, 27 | readdcld 7977 |
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29 | 13, 23 | readdcld 7977 |
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30 | 15, 27 | readdcld 7977 |
. . . . . . . . . . . . 13
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31 | | apreim 8550 |
. . . . . . . . . . . . 13
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32 | 24, 28, 29, 30, 31 | syl22anc 1239 |
. . . . . . . . . . . 12
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33 | 10 | recnd 7976 |
. . . . . . . . . . . . . . 15
         
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)"   |
34 | | ax-icn 7897 |
. . . . . . . . . . . . . . . . 17
 |
35 | 34 | a1i 9 |
. . . . . . . . . . . . . . . 16
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)"   |
36 | 11 | recnd 7976 |
. . . . . . . . . . . . . . . 16
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)"   |
37 | 35, 36 | mulcld 7968 |
. . . . . . . . . . . . . . 15
         
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)" 
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   
   |
38 | 23 | recnd 7976 |
. . . . . . . . . . . . . . 15
         
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)" 
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)"   |
39 | 27 | recnd 7976 |
. . . . . . . . . . . . . . . 16
         
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)" 
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     |
40 | 35, 39 | mulcld 7968 |
. . . . . . . . . . . . . . 15
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41 | 33, 37, 38, 40 | add4d 8116 |
. . . . . . . . . . . . . 14
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42 | | simplr 528 |
. . . . . . . . . . . . . . . 16
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43 | 42 | ad3antrrr 492 |
. . . . . . . . . . . . . . 15
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44 | 18, 43 | oveq12d 5887 |
. . . . . . . . . . . . . 14
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45 | 35, 36, 39 | adddid 7972 |
. . . . . . . . . . . . . . 15
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46 | 45 | oveq2d 5885 |
. . . . . . . . . . . . . 14
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47 | 41, 44, 46 | 3eqtr4d 2220 |
. . . . . . . . . . . . 13
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48 | 13 | recnd 7976 |
. . . . . . . . . . . . . . 15
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49 | 15 | recnd 7976 |
. . . . . . . . . . . . . . . 16
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50 | 35, 49 | mulcld 7968 |
. . . . . . . . . . . . . . 15
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51 | 48, 50, 38, 40 | add4d 8116 |
. . . . . . . . . . . . . 14
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52 | 19, 43 | oveq12d 5887 |
. . . . . . . . . . . . . 14
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53 | 35, 49, 39 | adddid 7972 |
. . . . . . . . . . . . . . 15
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54 | 53 | oveq2d 5885 |
. . . . . . . . . . . . . 14
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55 | 51, 52, 54 | 3eqtr4d 2220 |
. . . . . . . . . . . . 13
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56 | 47, 55 | breq12d 4013 |
. . . . . . . . . . . 12
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57 | | reapadd1 8543 |
. . . . . . . . . . . . . 14
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58 | 10, 13, 23, 57 | syl3anc 1238 |
. . . . . . . . . . . . 13
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59 | | reapadd1 8543 |
. . . . . . . . . . . . . 14
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  #      |
60 | 11, 15, 27, 59 | syl3anc 1238 |
. . . . . . . . . . . . 13
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  #      |
61 | 58, 60 | orbi12d 793 |
. . . . . . . . . . . 12
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62 | 32, 56, 61 | 3bitr4d 220 |
. . . . . . . . . . 11
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)"   |
63 | 17, 20, 62 | 3bitr4d 220 |
. . . . . . . . . 10
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)"  #
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     |
64 | 63 | ex 115 |
. . . . . . . . 9
      
         
 
     
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  
   #
  #
      |
65 | 64 | rexlimdvva 2602 |
. . . . . . . 8
     
 
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)" 
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      
  
   #
  #
      |
66 | 9, 65 | mpd 13 |
. . . . . . 7
     
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)" 
 
      #
  #
     |
67 | 66 | ex 115 |
. . . . . 6
      
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68 | 67 | rexlimdvva 2602 |
. . . . 5
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)"  
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)"  #
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69 | 5, 68 | mpd 13 |
. . . 4
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)"  #
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70 | 69 | ex 115 |
. . 3
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71 | 70 | rexlimdvva 2602 |
. 2
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72 | 2, 71 | mpd 13 |
1
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