Theorem gbopos

Description: Any odd Goldbach number is positive. (Contributed by AV, 26-Jul-2020)

	Ref	Expression
Assertion	gbopos	$$⊢Z\in \mathrm{GoldbachOdd}\to Z\in \mathbb{N}$$

Proof

Step	Hyp	Ref	Expression
1		gbogbow	$$⊢Z\in \mathrm{GoldbachOdd}\to Z\in \mathrm{GoldbachOddW}$$
2		gbowpos	$$⊢Z\in \mathrm{GoldbachOddW}\to Z\in \mathbb{N}$$
3	1 2	syl	$$⊢Z\in \mathrm{GoldbachOdd}\to Z\in \mathbb{N}$$