This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem 5ne0

Description: The number 5 is nonzero. (Contributed by SN, 22-Oct-2025)

Ref Expression
Assertion 5ne0 5 ≠ 0

Proof

Step Hyp Ref Expression
1 5nn ⊢ 5 ∈ ℕ
2 1 nnne0i ⊢ 5 ≠ 0