Theorem chabs2i

Description: Hilbert lattice absorption law. From definition of lattice in Kalmbach p. 14. (Contributed by NM, 16-Jun-2004) (New usage is discouraged.)

	Ref	Expression
Hypotheses	chabs.1	|- A e. CH
	chabs.2	|- B e. CH
Assertion	chabs2i	|- ( A i^i ( A vH B ) ) = A

Proof

Step	Hyp	Ref	Expression
1		chabs.1	|- A e. CH
2		chabs.2	|- B e. CH
3		chabs2	|- ( ( A e. CH /\ B e. CH ) -> ( A i^i ( A vH B ) ) = A )
4	1 2 3	mp2an	|- ( A i^i ( A vH B ) ) = A