Theorem chabs1i

Description: Hilbert lattice absorption law. From definition of lattice in Kalmbach p. 14. (Contributed by NM, 10-Jun-2004) (New usage is discouraged.)

	Ref	Expression
Hypotheses	chabs.1	|- A e. CH
	chabs.2	|- B e. CH
Assertion	chabs1i	|- ( A vH ( A i^i B ) ) = A

Proof

Step	Hyp	Ref	Expression
1		chabs.1	|- A e. CH
2		chabs.2	|- B e. CH
3		chabs1	|- ( ( A e. CH /\ B e. CH ) -> ( A vH ( A i^i B ) ) = A )
4	1 2 3	mp2an	|- ( A vH ( A i^i B ) ) = A