Metamath Proof Explorer

Theorem nnred

Description: A positive integer is a real number. (Contributed by Mario Carneiro, 27-May-2016)

Ref Expression
Hypothesis nnred.1 
|- ( ph -> A e. NN )
Assertion nnred 
|- ( ph -> A e. RR )

Proof

Step Hyp Ref Expression
1 nnred.1 
 |-  ( ph -> A e. NN )
2 nnssre 
 |-  NN C_ RR
3 2 1 sselid 
 |-  ( ph -> A e. RR )