Theorem qlax2i

Description: One of the equations showing CH is an ortholattice. (This corresponds to axiom "ax-2" in the Quantum Logic Explorer.) (Contributed by NM, 4-Aug-2004) (New usage is discouraged.)

	Ref	Expression
Hypotheses	qlax.1	⊢ 𝐴 ∈ Cℋ
	qlax.2	⊢ 𝐵 ∈ Cℋ
Assertion	qlax2i	⊢ ( 𝐴 ∨ℋ 𝐵 ) = ( 𝐵 ∨ℋ 𝐴 )

Proof

Step	Hyp	Ref	Expression
1		qlax.1	⊢ 𝐴 ∈ Cℋ
2		qlax.2	⊢ 𝐵 ∈ Cℋ
3	1 2	chjcomi	⊢ ( 𝐴 ∨ℋ 𝐵 ) = ( 𝐵 ∨ℋ 𝐴 )