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Metamath Proof Explorer


Theorem nnzd

Description: A positive integer is an integer. (Contributed by Mario Carneiro, 28-May-2016)

Ref Expression
Hypothesis nnzd.1
|- ( ph -> A e. NN )
Assertion nnzd
|- ( ph -> A e. ZZ )

Proof

Step Hyp Ref Expression
1 nnzd.1
 |-  ( ph -> A e. NN )
2 1 nnnn0d
 |-  ( ph -> A e. NN0 )
3 2 nn0zd
 |-  ( ph -> A e. ZZ )