Theorem dpval3

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	dpval3	|- ( A . B ) = _ A B

Proof

Step	Hyp	Ref	Expression
1		dpval2.a	|- A e. NN0
2		dpval2.b	|- B e. RR
3	1 2	dpval2	|- ( A . B ) = ( A + ( B / ; 1 0 ) )
4		df-dp2	|- _ A B = ( A + ( B / ; 1 0 ) )
5	3 4	eqtr4i	|- ( A . B ) = _ A B