Metamath Proof Explorer


Theorem unifndx

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

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