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Definition df-gcd 11822
 Description: Define the operator. For example, (ex-gcd 13278). (Contributed by Paul Chapman, 21-Mar-2011.)
Assertion
Ref Expression
df-gcd
Distinct variable group:   ,,

Detailed syntax breakdown of Definition df-gcd
StepHypRef Expression
1 cgcd 11821 . 2
2 vx . . 3
3 vy . . 3
4 cz 9161 . . 3
52cv 1334 . . . . . 6
6 cc0 7726 . . . . . 6
75, 6wceq 1335 . . . . 5
83cv 1334 . . . . . 6
98, 6wceq 1335 . . . . 5
107, 9wa 103 . . . 4
11 vn . . . . . . . . 9
1211cv 1334 . . . . . . . 8
13 cdvds 11676 . . . . . . . 8
1412, 5, 13wbr 3965 . . . . . . 7
1512, 8, 13wbr 3965 . . . . . . 7
1614, 15wa 103 . . . . . 6
1716, 11, 4crab 2439 . . . . 5
18 cr 7725 . . . . 5
19 clt 7906 . . . . 5
2017, 18, 19csup 6922 . . . 4
2110, 6, 20cif 3505 . . 3
222, 3, 4, 4, 21cmpo 5823 . 2
231, 22wceq 1335 1
 Colors of variables: wff set class This definition is referenced by:  gcdval  11834  gcdf  11847
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