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Definition df-p1 17759
Description: Define poset unit. (Contributed by NM, 22-Oct-2011.)
Assertion
Ref Expression
df-p1 1. = (𝑝 ∈ V ↦ ((lub‘𝑝)‘(Base‘𝑝)))

Detailed syntax breakdown of Definition df-p1
StepHypRef Expression
1 cp1 17757 . 2 class 1.
2 vp . . 3 setvar 𝑝
3 cvv 3397 . . 3 class V
42cv 1541 . . . . 5 class 𝑝
5 cbs 16579 . . . . 5 class Base
64, 5cfv 6333 . . . 4 class (Base‘𝑝)
7 club 17661 . . . . 5 class lub
84, 7cfv 6333 . . . 4 class (lub‘𝑝)
96, 8cfv 6333 . . 3 class ((lub‘𝑝)‘(Base‘𝑝))
102, 3, 9cmpt 5107 . 2 class (𝑝 ∈ V ↦ ((lub‘𝑝)‘(Base‘𝑝)))
111, 10wceq 1542 1 wff 1. = (𝑝 ∈ V ↦ ((lub‘𝑝)‘(Base‘𝑝)))
Colors of variables: wff setvar class
This definition is referenced by:  p1val  17761
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