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ELEMENTARY NUMBER THEORY
Elementary prime number theory
Elementary properties
prmssuz2
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prmgt1
Metamath Proof Explorer
Ascii
Structured
Theorem
prmssuz2
Description:
The primes are integers greater than 1.
(Contributed by
AV
, 10-Apr-2026)
Ref
Expression
Assertion
prmssuz2
⊢
ℙ ⊆ ( ℤ
≥
‘ 2 )
Proof
Step
Hyp
Ref
Expression
1
prmuz2
⊢
(
𝑎
∈ ℙ →
𝑎
∈ ( ℤ
≥
‘ 2 ) )
2
1
ssriv
⊢
ℙ ⊆ ( ℤ
≥
‘ 2 )