Theorem 0le2

Description: The number 0 is less than or equal to 2. (Contributed by David A. Wheeler, 7-Dec-2018) (Proof shortened by Umit Teoman Dogan, 10-Jun-2026)

	Ref	Expression
Assertion	0le2	$$⊢0\le 2$$

Proof

Step	Hyp	Ref	Expression
1		0re	$$⊢0\in ℝ$$
2		2re	$$⊢2\in ℝ$$
3		2nn	$$⊢2\in \mathbb{N}$$
4	3	nngt0i	$$⊢0<2$$
5	1 2 4	ltleii	$$⊢0\le 2$$