Metamath Proof Explorer


Theorem unifndx

Description: Index value of the df-unif slot. (Contributed by Thierry Arnoux, 17-Dec-2017)

Ref Expression
Assertion unifndx ( UnifSet ‘ ndx ) = 1 3

Proof

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