Description: Utility theorem: index-independent form of df-ocomp . (Contributed by Mario Carneiro, 25-Oct-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | ocid | ⊢ oc = Slot ( oc ‘ ndx ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ocomp | ⊢ oc = Slot ; 1 1 | |
2 | 1nn0 | ⊢ 1 ∈ ℕ0 | |
3 | 1nn | ⊢ 1 ∈ ℕ | |
4 | 2 3 | decnncl | ⊢ ; 1 1 ∈ ℕ |
5 | 1 4 | ndxid | ⊢ oc = Slot ( oc ‘ ndx ) |