Theorem declti

Description: Comparing a digit to a decimal integer. (Contributed by Mario Carneiro, 18-Feb-2014) (Revised by AV, 6-Sep-2021)

	Ref	Expression
Hypotheses	declti.a	$$⊢A\in \mathbb{N}$$
	declti.b	$$⊢B\in {\mathbb{N}}_0$$
	declti.c	$$⊢C\in {\mathbb{N}}_0$$
	declti.l	$$⊢C<10$$
Assertion	declti	Could not format assertion : No typesetting found for |- C < ; A B with typecode |-

Proof

Step	Hyp	Ref	Expression
1		declti.a	$$⊢A\in \mathbb{N}$$
2		declti.b	$$⊢B\in {\mathbb{N}}_0$$
3		declti.c	$$⊢C\in {\mathbb{N}}_0$$
4		declti.l	$$⊢C<10$$
5		10nn	$$⊢10\in \mathbb{N}$$
6	5 1 2 3 4	numlti	$$⊢C<10A+B$$
7		dfdec10	Could not format ; A B = ( ( ; 1 0 x. A ) + B ) : No typesetting found for |- ; A B = ( ( ; 1 0 x. A ) + B ) with typecode |-
8	6 7	breqtrri	Could not format C < ; A B : No typesetting found for |- C < ; A B with typecode |-