Theorem 5odd

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

	Ref	Expression
Assertion	5odd	⊢ 5 ∈ Odd

Proof

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