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Definition df-slot 13152
Description: Define slot extractor for posets and related structures. Note that the function argument can be any set, although it is meaningful only if it is a member of  Poset (df-poset 14080) when used for posets or of  Grp (df-grp 14489) when used from groups. (Contributed by Mario Carneiro, 22-Sep-2015.)
Assertion
Ref Expression
df-slot  |- Slot  A  =  ( x  e.  _V  |->  ( x `  A
) )
Distinct variable group:    x, A

Detailed syntax breakdown of Definition df-slot
StepHypRef Expression
1 cA . . 3  class  A
21cslot 13147 . 2  class Slot  A
3 vx . . 3  set  x
4 cvv 2788 . . 3  class  _V
53cv 1622 . . . 4  class  x
61, 5cfv 5255 . . 3  class  ( x `
 A )
73, 4, 6cmpt 4077 . 2  class  ( x  e.  _V  |->  ( x `
 A ) )
82, 7wceq 1623 1  wff Slot  A  =  ( x  e.  _V  |->  ( x `  A
) )
Colors of variables: wff set class
This definition is referenced by:  slotfn  13162  strfvnd  13163  ndxid  13169
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