Metamath Proof Explorer

Theorem eluz2n0

Description: An integer greater than or equal to 2 is not 0. (Contributed by AV, 25-May-2020)

Ref Expression
Assertion eluz2n0 
|- ( N e. ( ZZ>= ` 2 ) -> N =/= 0 )

Proof

Step Hyp Ref Expression
1 eluz2nn 
 |-  ( N e. ( ZZ>= ` 2 ) -> N e. NN )
2 1 nnne0d 
 |-  ( N e. ( ZZ>= ` 2 ) -> N =/= 0 )