Theorem 10nprm

Description: 10 is not a prime number. (Contributed by Mario Carneiro, 18-Feb-2014) (Revised by AV, 6-Sep-2021)

	Ref	Expression
Assertion	10nprm	⊢ ¬ ; 1 0 ∈ ℙ

Proof

Step	Hyp	Ref	Expression
1		5nn	⊢ 5 ∈ ℕ
2		2nn	⊢ 2 ∈ ℕ
3		1lt5	⊢ 1 < 5
4		1lt2	⊢ 1 < 2
5		5t2e10	⊢ ( 5 · 2 ) = ; 1 0
6	1 2 3 4 5	nprmi	⊢ ¬ ; 1 0 ∈ ℙ