Metamath Proof Explorer


Theorem itvndx

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

Ref Expression
Assertion itvndx ⊢ Itv ⁡ ndx = 16

Proof

Step Hyp Ref Expression
1 df-itv ⊢ Itv = Slot 16
2 1nn0 ⊢ 1 ∈ ℕ 0
3 6nn ⊢ 6 ∈ ℕ
4 2 3 decnncl ⊢ 16 ∈ ℕ
5 1 4 ndxarg ⊢ Itv ⁡ ndx = 16