Description: Membership of 3 in the integer interval ( 1 ... 3 ). (Contributed by Jiamin Zhao, 1-Aug-2026)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | 3elfz13 | ⊢ 3 ∈ ( 1 ... 3 ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | 3nn | ⊢ 3 ∈ ℕ | |
| 2 | elfz1end | ⊢ ( 3 ∈ ℕ ↔ 3 ∈ ( 1 ... 3 ) ) | |
| 3 | 1 2 | mpbi | ⊢ 3 ∈ ( 1 ... 3 ) |