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Definition df-goim 23349
Description: Define the Godel-set of implication. Here the arguments  U and  V are also Godel-sets corresponding to smaller formulae. Note that this is a class expression, not a wff. (Contributed by Mario Carneiro, 14-Jul-2013.)
Assertion
Ref Expression
df-goim  |-  ->g  =  ( u  e.  _V , 
v  e.  _V  |->  ( u  | g  -.g v ) )
Distinct variable group:    v, u

Detailed syntax breakdown of Definition df-goim
StepHypRef Expression
1 cgoi 23342 . 2  class  ->g
2 vu . . 3  set  u
3 vv . . 3  set  v
4 cvv 2788 . . 3  class  _V
52cv 1622 . . . 4  class  u
63cv 1622 . . . . 5  class  v
76cgon 23340 . . . 4  class  -.g v
8 cgna 23328 . . . 4  class  | g
95, 7, 8co 5858 . . 3  class  ( u 
| g  -.g v
)
102, 3, 4, 4, 9cmpt2 5860 . 2  class  ( u  e.  _V ,  v  e.  _V  |->  ( u 
| g  -.g v
) )
111, 10wceq 1623 1  wff  ->g  =  ( u  e.  _V , 
v  e.  _V  |->  ( u  | g  -.g v ) )
Colors of variables: wff set class
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