Theorem dpval2

Description: Value of the decimal point construct. (Contributed by Thierry Arnoux, 16-Dec-2021)

	Ref	Expression
Hypotheses	dpval2.a	|- A e. NN0
	dpval2.b	|- B e. RR
Assertion	dpval2	|- ( A . B ) = ( A + ( B / ; 1 0 ) )

Proof

Step	Hyp	Ref	Expression
1		dpval2.a	|- A e. NN0
2		dpval2.b	|- B e. RR
3		dpval	|- ( ( A e. NN0 /\ B e. RR ) -> ( A . B ) = _ A B )
4	1 2 3	mp2an	|- ( A . B ) = _ A B
5		df-dp2	|- _ A B = ( A + ( B / ; 1 0 ) )
6	4 5	eqtri	|- ( A . B ) = ( A + ( B / ; 1 0 ) )