Metamath Proof Explorer


Theorem itvndx

Description: Index value of the Interval (segment) slot. Use ndxarg . (Contributed by Thierry Arnoux, 24-Aug-2017)

Ref Expression
Assertion itvndx ( Itv ‘ ndx ) = 1 6

Proof

Step Hyp Ref Expression
1 df-itv Itv = Slot 1 6
2 1nn0 1 ∈ ℕ0
3 6nn 6 ∈ ℕ
4 2 3 decnncl 1 6 ∈ ℕ
5 1 4 ndxarg ( Itv ‘ ndx ) = 1 6