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Metamath Proof Explorer

Theorem prmz

Description: A prime number is an integer. (Contributed by Paul Chapman, 22-Jun-2011) (Proof shortened by Jonathan Yan, 16-Jul-2017)

Ref Expression
Assertion prmz 
|- ( P e. Prime -> P e. ZZ )

Proof

Step Hyp Ref Expression
1 prmnn 
 |-  ( P e. Prime -> P e. NN )
2 1 nnzd 
 |-  ( P e. Prime -> P e. ZZ )