Theorem nnzsd

Description: A positive surreal integer is a surreal integer. Deduction form. (Contributed by Scott Fenton, 26-May-2025)

	Ref	Expression
Hypothesis	nnzsd.1	|- ( ph -> A e. NN_s )
Assertion	nnzsd	|- ( ph -> A e. ZZ_s )

Proof

Step	Hyp	Ref	Expression
1		nnzsd.1	|- ( ph -> A e. NN_s )
2		nnzs	|- ( A e. NN_s -> A e. ZZ_s )
3	1 2	syl	|- ( ph -> A e. ZZ_s )