Metamath Proof Explorer


Theorem ccondx

Description: Index value of the df-cco slot. (Contributed by Mario Carneiro, 7-Jan-2017) (New usage is discouraged.)

Ref Expression
Assertion ccondx ( comp ‘ ndx ) = 1 5

Proof

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