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 3nn
 |-  3 e. NN
2 1 nnne0i
 |-  3 =/= 0