Definition df-dec

Description: Define the "decimal constructor", which is used to build up "decimal integers" or "numeric terms" in base 1 0 . For example, ( ; ; ; 1 0 0 0 + ; ; ; 2 0 0 0 ) = ; ; ; 3 0 0 0 1kp2ke3k . (Contributed by Mario Carneiro, 17-Apr-2015) (Revised by AV, 1-Aug-2021)

	Ref	Expression
Assertion	df-dec	Could not format assertion : No typesetting found for |- ; A B = ( ( ( 9 + 1 ) x. A ) + B ) with typecode |-

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		cA	$$classA$$
1		cB	$$classB$$
2	0 1	cdc	Could not format ; A B : No typesetting found for class ; A B with typecode class
3		c9	$$class9$$
4		caddc	$$class+$$
5		c1	$$class1$$
6	3 5 4	co	$$class\left(9+1\right)$$
7		cmul	$$class\times$$
8	6 0 7	co	$$class\left(9+1\right)A$$
9	8 1 4	co	$$class\left(\left(9+1\right)A+B\right)$$
10	2 9	wceq	Could not format ; A B = ( ( ( 9 + 1 ) x. A ) + B ) : No typesetting found for wff ; A B = ( ( ( 9 + 1 ) x. A ) + B ) with typecode wff