Theorem pjococi

Description: Proof of orthocomplement theorem using projections. Compare ococ . (Contributed by NM, 5-Nov-1999) (New usage is discouraged.)

	Ref	Expression
Hypothesis	pjococ.1	$$⊢H\in {\mathbf{C}}_{\mathscr{H}}$$
Assertion	pjococi	$$⊢\perp \left(\perp \left(H\right)\right)=H$$

Proof

Step	Hyp	Ref	Expression
1		pjococ.1	$$⊢H\in {\mathbf{C}}_{\mathscr{H}}$$
2	1	ococi	$$⊢\perp \left(\perp \left(H\right)\right)=H$$