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Definition df-notc 26135
Description: Function that returns a negated proposition. Experimental. (Contributed by FL, 2-Feb-2014.)
Assertion
Ref Expression
df-notc  |-  not c  =  ( x  e.  ( ( Kleene `  NN )  ^m  { 1 } )  |->  (  -. c  conc  ( x `  1
) ) )

Detailed syntax breakdown of Definition df-notc
StepHypRef Expression
1 cnotc 26134 . 2  class  not c
2 vx . . 3  set  x
3 cn 9762 . . . . 5  class  NN
4 ckln 26083 . . . . 5  class  Kleene
53, 4cfv 5271 . . . 4  class  ( Kleene `  NN )
6 c1 8754 . . . . 5  class  1
76csn 3653 . . . 4  class  { 1 }
8 cmap 6788 . . . 4  class  ^m
95, 7, 8co 5874 . . 3  class  ( (
Kleene `  NN )  ^m  { 1 } )
10 cnots 26114 . . . 4  class  -. c
112cv 1631 . . . . 5  class  x
126, 11cfv 5271 . . . 4  class  ( x `
 1 )
13 cconc 26107 . . . 4  class  conc
1410, 12, 13co 5874 . . 3  class  (  -. c  conc  ( x `  1 ) )
152, 9, 14cmpt 4093 . 2  class  ( x  e.  ( ( Kleene `  NN )  ^m  {
1 } )  |->  (  -. c  conc  (
x `  1 )
) )
161, 15wceq 1632 1  wff  not c  =  ( x  e.  ( ( Kleene `  NN )  ^m  { 1 } )  |->  (  -. c  conc  ( x `  1
) ) )
Colors of variables: wff set class
This definition is referenced by:  fnckle  26148  pfsubkl  26150
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