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 ≤ 2

Proof

Step	Hyp	Ref	Expression
1		0re	⊢ 0 ∈ ℝ
2		2re	⊢ 2 ∈ ℝ
3		2nn	⊢ 2 ∈ ℕ
4	3	nngt0i	⊢ 0 < 2
5	1 2 4	ltleii	⊢ 0 ≤ 2