Theorem prmgt1

Description: A prime number is an integer greater than 1. (Contributed by Alexander van der Vekens, 17-May-2018)

	Ref	Expression
Assertion	prmgt1	⊢ ( 𝑃 ∈ ℙ → 1 < 𝑃 )

Proof

Step	Hyp	Ref	Expression
1		prmuz2	⊢ ( 𝑃 ∈ ℙ → 𝑃 ∈ ( ℤ≥ ‘ 2 ) )
2		eluz2gt1	⊢ ( 𝑃 ∈ ( ℤ≥ ‘ 2 ) → 1 < 𝑃 )
3	1 2	syl	⊢ ( 𝑃 ∈ ℙ → 1 < 𝑃 )