Theorem qlax3i

Description: One of the equations showing CH is an ortholattice. (This corresponds to axiom "ax-3" in the Quantum Logic Explorer.) (Contributed by NM, 4-Aug-2004) (New usage is discouraged.)

	Ref	Expression
Hypotheses	qlax.1	|- A e. CH
	qlax.2	|- B e. CH
	qlax.3	|- C e. CH
Assertion	qlax3i	|- ( ( A vH B ) vH C ) = ( A vH ( B vH C ) )

Proof

Step	Hyp	Ref	Expression
1		qlax.1	|- A e. CH
2		qlax.2	|- B e. CH
3		qlax.3	|- C e. CH
4	1 2 3	chjassi	|- ( ( A vH B ) vH C ) = ( A vH ( B vH C ) )