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Definition df-pell1234qr 26907
 Description: Define the general solutions of a Pell equation. (Contributed by Stefan O'Rear, 17-Sep-2014.)
Assertion
Ref Expression
df-pell1234qr Pell1234QR NN
Distinct variable group:   ,,,

Detailed syntax breakdown of Definition df-pell1234qr
StepHypRef Expression
1 cpell1234qr 26901 . 2 Pell1234QR
2 vx . . 3
3 cn 10000 . . . 4
4 csquarenn 26899 . . . 4 NN
53, 4cdif 3317 . . 3 NN
6 vy . . . . . . . . 9
76cv 1651 . . . . . . . 8
8 vz . . . . . . . . . 10
98cv 1651 . . . . . . . . 9
102cv 1651 . . . . . . . . . . 11
11 csqr 12038 . . . . . . . . . . 11
1210, 11cfv 5454 . . . . . . . . . 10
13 vw . . . . . . . . . . 11
1413cv 1651 . . . . . . . . . 10
15 cmul 8995 . . . . . . . . . 10
1612, 14, 15co 6081 . . . . . . . . 9
17 caddc 8993 . . . . . . . . 9
189, 16, 17co 6081 . . . . . . . 8
197, 18wceq 1652 . . . . . . 7
20 c2 10049 . . . . . . . . . 10
21 cexp 11382 . . . . . . . . . 10
229, 20, 21co 6081 . . . . . . . . 9
2314, 20, 21co 6081 . . . . . . . . . 10
2410, 23, 15co 6081 . . . . . . . . 9
25 cmin 9291 . . . . . . . . 9
2622, 24, 25co 6081 . . . . . . . 8
27 c1 8991 . . . . . . . 8
2826, 27wceq 1652 . . . . . . 7
2919, 28wa 359 . . . . . 6
30 cz 10282 . . . . . 6
3129, 13, 30wrex 2706 . . . . 5
3231, 8, 30wrex 2706 . . . 4
33 cr 8989 . . . 4
3432, 6, 33crab 2709 . . 3
352, 5, 34cmpt 4266 . 2 NN
361, 35wceq 1652 1 Pell1234QR NN
 Colors of variables: wff set class This definition is referenced by:  pell1234qrval  26913
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