Metamath Proof Explorer


Theorem mulrid

Description: Utility theorem: index-independent form of df-mulr . (Contributed by Mario Carneiro, 8-Jun-2013)

Ref Expression
Assertion mulrid .r = Slot ( .r ‘ ndx )

Proof

Step Hyp Ref Expression
1 df-mulr .r = Slot 3
2 3nn 3 ∈ ℕ
3 1 2 ndxid .r = Slot ( .r ‘ ndx )