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 ∈ Cℋ
Assertion	pjococi	⊢ ( ⊥ ‘ ( ⊥ ‘ 𝐻 ) ) = 𝐻

Proof

Step	Hyp	Ref	Expression
1		pjococ.1	⊢ 𝐻 ∈ Cℋ
2	1	ococi	⊢ ( ⊥ ‘ ( ⊥ ‘ 𝐻 ) ) = 𝐻