Metamath Proof Explorer


Theorem 3elfz13

Description: Membership of 3 in the integer interval ( 1 ... 3 ). (Contributed by Jiamin Zhao, 1-Aug-2026)

Ref Expression
Assertion 3elfz13 3 ∈ ( 1 ... 3 )

Proof

Step Hyp Ref Expression
1 3nn 3 ∈ ℕ
2 elfz1end ( 3 ∈ ℕ ↔ 3 ∈ ( 1 ... 3 ) )
3 1 2 mpbi 3 ∈ ( 1 ... 3 )