Theorem nn0absidi

Description: A nonnegative integer is its own absolute value (inference form). (Contributed by AV, 22-Nov-2025)

	Ref	Expression
Hypothesis	nn0absidi.i	$$⊢N\in {\mathbb{N}}_0$$
Assertion	nn0absidi	$$⊢\left|N\right|=N$$

Proof

Step	Hyp	Ref	Expression
1		nn0absidi.i	$$⊢N\in {\mathbb{N}}_0$$
2		nn0absid	$$⊢N\in {\mathbb{N}}_0\to \left|N\right|=N$$
3	1 2	ax-mp	$$⊢\left|N\right|=N$$