Theorem 5odd

Description: 5 is an odd number. (Contributed by AV, 23-Jul-2020)

	Ref	Expression
Assertion	5odd	$$⊢5\in \mathrm{Odd}$$

Proof

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