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Definition df-goeq 25050
 Description: Define the Godel-set of equality. Here the arguments correspond to vN and vP , so actually means v0 v1 , not . Here we use the trick mentioned in ax-ext 2419 to introduce equality as a defined notion in terms of . The expression max here is a convenient way of getting a dummy variable distinct from and . (Contributed by Mario Carneiro, 14-Jul-2013.)
Assertion
Ref Expression
df-goeq
Distinct variable group:   ,,

Detailed syntax breakdown of Definition df-goeq
StepHypRef Expression
1 cgoq 25043 . 2
2 vu . . 3
3 vv . . 3
4 com 4848 . . 3
5 vw . . . 4
62cv 1652 . . . . . 6
73cv 1652 . . . . . 6
86, 7cun 3320 . . . . 5
98csuc 4586 . . . 4
105cv 1652 . . . . . . 7
11 cgoe 25025 . . . . . . 7
1210, 6, 11co 6084 . . . . . 6
1310, 7, 11co 6084 . . . . . 6
14 cgob 25042 . . . . . 6
1512, 13, 14co 6084 . . . . 5
1615, 10cgol 25027 . . . 4
175, 9, 16csb 3253 . . 3
182, 3, 4, 4, 17cmpt2 6086 . 2
191, 18wceq 1653 1
 Colors of variables: wff set class
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