Metamath Proof Explorer

Theorem prmssnn

Description: The prime numbers are a subset of the positive integers. (Contributed by AV, 22-Jul-2020)

Ref Expression
Assertion prmssnn 
|- Prime C_ NN

Proof

Step Hyp Ref Expression
1 prmnn 
 |-  ( x e. Prime -> x e. NN )
2 1 ssriv 
 |-  Prime C_ NN