Metamath Proof Explorer


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 ≠ 0

Proof

Step Hyp Ref Expression
1 3re 3 ∈ ℝ
2 3pos 0 < 3
3 1 2 gt0ne0ii 3 ≠ 0