Theorem 3odd

Description: 3 is an odd number. (Contributed by AV, 20-Jul-2020)

	Ref	Expression
Assertion	3odd	$$⊢3\in \mathrm{Odd}$$

Proof

Step	Hyp	Ref	Expression
1		2evenALTV	$$⊢2\in \mathrm{Even}$$
2		df-3	$$⊢3=2+1$$
3		evenp1odd	$$⊢2\in \mathrm{Even}\to 2+1\in \mathrm{Odd}$$
4	2 3	eqeltrid	$$⊢2\in \mathrm{Even}\to 3\in \mathrm{Odd}$$
5	1 4	ax-mp	$$⊢3\in \mathrm{Odd}$$