Metamath Proof Explorer


Theorem zexpcl

Description: Closure of exponentiation of integers. (Contributed by NM, 16-Dec-2005)

Ref Expression
Assertion zexpcl A N 0 A N

Proof

Step Hyp Ref Expression
1 zsscn
2 zmulcl x y x y
3 1z 1
4 1 2 3 expcllem A N 0 A N