Description: Utility theorem: index-independent form of df-ds . (Contributed by Mario Carneiro, 23-Dec-2013)
Ref | Expression | ||
---|---|---|---|
Assertion | dsid | ⊢ dist = Slot ( dist ‘ ndx ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ds | ⊢ dist = Slot ; 1 2 | |
2 | 1nn0 | ⊢ 1 ∈ ℕ0 | |
3 | 2nn | ⊢ 2 ∈ ℕ | |
4 | 2 3 | decnncl | ⊢ ; 1 2 ∈ ℕ |
5 | 1 4 | ndxid | ⊢ dist = Slot ( dist ‘ ndx ) |