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Definition df-goan 23937
Description: Define the Godel-set of conjunction. Here the arguments  U and  V are also Godel-sets corresponding to smaller formulae. (Contributed by Mario Carneiro, 14-Jul-2013.)
Assertion
Ref Expression
df-goan  |-  /\g  =  ( u  e.  _V ,  v  e.  _V  |->  -.g ( u  | g 
v ) )
Distinct variable group:    v, u

Detailed syntax breakdown of Definition df-goan
StepHypRef Expression
1 cgoa 23930 . 2  class  /\g
2 vu . . 3  set  u
3 vv . . 3  set  v
4 cvv 2788 . . 3  class  _V
52cv 1622 . . . . 5  class  u
63cv 1622 . . . . 5  class  v
7 cgna 23917 . . . . 5  class  | g
85, 6, 7co 5858 . . . 4  class  ( u 
| g  v )
98cgon 23929 . . 3  class  -.g (
u  | g  v )
102, 3, 4, 4, 9cmpt2 5860 . 2  class  ( u  e.  _V ,  v  e.  _V  |->  -.g (
u  | g  v ) )
111, 10wceq 1623 1  wff  /\g  =  ( u  e.  _V ,  v  e.  _V  |->  -.g ( u  | g 
v ) )
Colors of variables: wff set class
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