Metamath Proof Explorer


Theorem nncnd

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

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

Proof

Step Hyp Ref Expression
1 nnred.1
 |-  ( ph -> A e. NN )
2 nnsscn
 |-  NN C_ CC
3 2 1 sseldi
 |-  ( ph -> A e. CC )