Theorem numcl

Description: Closure for a decimal integer (with units place). (Contributed by Mario Carneiro, 18-Feb-2014)

	Ref	Expression
Hypotheses	numnncl.1	|- T e. NN0
	numnncl.2	|- A e. NN0
	numcl.2	|- B e. NN0
Assertion	numcl	|- ( ( T x. A ) + B ) e. NN0

Proof

Step	Hyp	Ref	Expression
1		numnncl.1	|- T e. NN0
2		numnncl.2	|- A e. NN0
3		numcl.2	|- B e. NN0
4	1 2	nn0mulcli	|- ( T x. A ) e. NN0
5	4 3	nn0addcli	|- ( ( T x. A ) + B ) e. NN0