Metamath Proof Explorer


Theorem lngndx

Description: Index value of the "line" slot. Use ndxarg . (Contributed by Thierry Arnoux, 27-Mar-2019) (New usage is discouraged.)

Ref Expression
Assertion lngndx ⊢ Line 𝒢 ⁡ ndx = 17

Proof

Step Hyp Ref Expression
1 df-lng ⊢ Line 𝒢 = Slot 17
2 1nn0 ⊢ 1 ∈ ℕ 0
3 7nn ⊢ 7 ∈ ℕ
4 2 3 decnncl ⊢ 17 ∈ ℕ
5 1 4 ndxarg ⊢ Line 𝒢 ⁡ ndx = 17