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Definition df-slot 15699
 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 16769) when used for posets or of Grp (df-grp 17248) 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 15694 . 2 class Slot 𝐴
3 vx . . 3 setvar 𝑥
4 cvv 3173 . . 3 class V
53cv 1474 . . . 4 class 𝑥
61, 5cfv 5804 . . 3 class (𝑥𝐴)
73, 4, 6cmpt 4643 . 2 class (𝑥 ∈ V ↦ (𝑥𝐴))
82, 7wceq 1475 1 wff Slot 𝐴 = (𝑥 ∈ V ↦ (𝑥𝐴))
 Colors of variables: wff setvar class This definition is referenced by:  slotfn  15709  strfvnd  15710  ndxid  15716  dfpleOLD  15789
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