Theorem decnncl

Description: Closure for a numeral. (Contributed by Mario Carneiro, 17-Apr-2015) (Revised by AV, 6-Sep-2021)

	Ref	Expression
Hypotheses	decnncl.1	$$⊢A\in {\mathbb{N}}_0$$
	decnncl.2	$$⊢B\in \mathbb{N}$$
Assertion	decnncl	Could not format assertion : No typesetting found for |- ; A B e. NN with typecode |-

Proof

Step	Hyp	Ref	Expression
1		decnncl.1	$$⊢A\in {\mathbb{N}}_0$$
2		decnncl.2	$$⊢B\in \mathbb{N}$$
3		dfdec10	Could not format ; A B = ( ( ; 1 0 x. A ) + B ) : No typesetting found for |- ; A B = ( ( ; 1 0 x. A ) + B ) with typecode |-
4		10nn0	$$⊢10\in {\mathbb{N}}_0$$
5	4 1 2	numnncl	$$⊢10A+B\in \mathbb{N}$$
6	3 5	eqeltri	Could not format ; A B e. NN : No typesetting found for |- ; A B e. NN with typecode |-