Metamath Proof Explorer


Theorem 2ne3

Description: 2 is not equal to 3 . (Contributed by Jiamin Zhao, 1-Aug-2026)

Ref Expression
Assertion 2ne3 ⊢ 2 ≠ 3

Proof

Step Hyp Ref Expression
1 2re ⊢ 2 ∈ ℝ
2 2lt3 ⊢ 2 < 3
3 1 2 ltneii ⊢ 2 ≠ 3