Metamath Proof Explorer


Theorem baseid

Description: Utility theorem: index-independent form of df-base . (Contributed by NM, 20-Oct-2012)

Ref Expression
Assertion baseid Base = Slot ( Base ‘ ndx )

Proof

Step Hyp Ref Expression
1 df-base Base = Slot 1
2 1nn 1 ∈ ℕ
3 1 2 ndxid Base = Slot ( Base ‘ ndx )