Definition df-p1

Description: Define poset unit. (Contributed by NM, 22-Oct-2011)

	Ref	Expression
Assertion	df-p1	$$⊢\mathrm{1.}=\left(p\in \mathrm{V}⟼\mathrm{lub}\left(p\right)\left({\mathrm{Base}}_p\right)\right)$$

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		cp1	$$class\mathrm{1.}$$
1		vp	$$setvarp$$
2		cvv	$$class\mathrm{V}$$
3		club	$$class\mathrm{lub}$$
4	1	cv	$$setvarp$$
5	4 3	cfv	$$class\mathrm{lub}\left(p\right)$$
6		cbs	$$class\mathrm{Base}$$
7	4 6	cfv	$$class{\mathrm{Base}}_p$$
8	7 5	cfv	$$class\mathrm{lub}\left(p\right)\left({\mathrm{Base}}_p\right)$$
9	1 2 8	cmpt	$$class\left(p\in \mathrm{V}⟼\mathrm{lub}\left(p\right)\left({\mathrm{Base}}_p\right)\right)$$
10	0 9	wceq	$$wff\mathrm{1.}=\left(p\in \mathrm{V}⟼\mathrm{lub}\left(p\right)\left({\mathrm{Base}}_p\right)\right)$$