Metamath Proof Explorer


Theorem dsid

Description: Utility theorem: index-independent form of df-ds . (Contributed by Mario Carneiro, 23-Dec-2013)

Ref Expression
Assertion dsid dist=Slotdistndx

Proof

Step Hyp Ref Expression
1 df-ds dist=Slot12
2 1nn0 10
3 2nn 2
4 2 3 decnncl 12
5 1 4 ndxid dist=Slotdistndx