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 e. RR
2 3pos 
 |-  0 < 3
3 1 2 gt0ne0ii 
 |-  3 =/= 0