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Definition df-slot 15641
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 16711) when used for posets or of Grp (df-grp 17190) when used from groups. (Contributed by Mario Carneiro, 22-Sep-2015.)
Assertion
Ref Expression
df-slot Slot 𝐴 = (𝑥 ∈ V ↦ (𝑥𝐴))
Distinct variable group:   𝑥,𝐴

Detailed syntax breakdown of Definition df-slot
StepHypRef Expression
1 cA . . 3 class 𝐴
21cslot 15636 . 2 class Slot 𝐴
3 vx . . 3 setvar 𝑥
4 cvv 3168 . . 3 class V
53cv 1473 . . . 4 class 𝑥
61, 5cfv 5786 . . 3 class (𝑥𝐴)
73, 4, 6cmpt 4633 . 2 class (𝑥 ∈ V ↦ (𝑥𝐴))
82, 7wceq 1474 1 wff Slot 𝐴 = (𝑥 ∈ V ↦ (𝑥𝐴))
Colors of variables: wff setvar class
This definition is referenced by:  slotfn  15651  strfvnd  15652  ndxid  15658  dfpleOLD  15731
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