Theorem 3odd

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

	Ref	Expression
Assertion	3odd	⊢ 3 ∈ Odd

Proof

Step	Hyp	Ref	Expression
1		2evenALTV	⊢ 2 ∈ Even
2		df-3	⊢ 3 = ( 2 + 1 )
3		evenp1odd	⊢ ( 2 ∈ Even → ( 2 + 1 ) ∈ Odd )
4	2 3	eqeltrid	⊢ ( 2 ∈ Even → 3 ∈ Odd )
5	1 4	ax-mp	⊢ 3 ∈ Odd