Metamath Proof Explorer


Definition df-lng

Description: Define the line index extractor for geometries. (Contributed by Thierry Arnoux, 27-Mar-2019) Use its index-independent form lngid instead. (New usage is discouraged.)

Ref Expression
Assertion df-lng Line 𝒢 = Slot 17

Detailed syntax breakdown

Step Hyp Ref Expression
0 clng class Line 𝒢
1 c1 class 1
2 c7 class 7
3 1 2 cdc class 17
4 3 cslot class Slot 17
5 0 4 wceq wff Line 𝒢 = Slot 17