Metamath Proof Explorer


Theorem lngndx

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

Ref Expression
Assertion lngndx ( LineG ‘ ndx ) = 1 7

Proof

Step Hyp Ref Expression
1 df-lng LineG = Slot 1 7
2 1nn0 1 ∈ ℕ0
3 7nn 7 ∈ ℕ
4 2 3 decnncl 1 7 ∈ ℕ
5 1 4 ndxarg ( LineG ‘ ndx ) = 1 7