Description: Utility theorem: index-independent form of df-cco . (Contributed by Mario Carneiro, 7-Jan-2017)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | ccoid | ⊢ comp = Slot ( comp ‘ ndx ) |
| 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 | ndxid | ⊢ comp = Slot ( comp ‘ ndx ) |