Metamath Proof Explorer


Theorem plusgid

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

Ref Expression
Assertion plusgid +g = Slot ( +g ‘ ndx )

Proof

Step Hyp Ref Expression
1 df-plusg +g = Slot 2
2 2nn 2 ∈ ℕ
3 1 2 ndxid +g = Slot ( +g ‘ ndx )