Theorem 3ne0

Description: The number 3 is nonzero. (Contributed by FL, 17-Oct-2010) (Proof shortened by Andrew Salmon, 7-May-2011)

	Ref	Expression
Assertion	3ne0	$$⊢3\ne 0$$

Proof

Step	Hyp	Ref	Expression
1		3re	$$⊢3\in ℝ$$
2		3pos	$$⊢0<3$$
3	1 2	gt0ne0ii	$$⊢3\ne 0$$