Definition df-p1 17642

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

Step	Hyp	Ref	Expression
1		cp1 17640	. 2 class 1.
2		vp	. . 3 setvar 𝑝
3		cvv 3441	. . 3 class V
4	2	cv 1537	. . . . 5 class 𝑝
5		cbs 16475	. . . . 5 class Base
6	4, 5	cfv 6324	. . . 4 class (Base‘𝑝)
7		club 17544	. . . . 5 class lub
8	4, 7	cfv 6324	. . . 4 class (lub‘𝑝)
9	6, 8	cfv 6324	. . 3 class ((lub‘𝑝)‘(Base‘𝑝))
10	2, 3, 9	cmpt 5110	. 2 class (𝑝 ∈ V ↦ ((lub‘𝑝)‘(Base‘𝑝)))
11	1, 10	wceq 1538	1 wff 1. = (𝑝 ∈ V ↦ ((lub‘𝑝)‘(Base‘𝑝)))

This definition is referenced by:  p1val  17644