Metamath Proof Explorer


Theorem scaid

Description: Utility theorem: index-independent form of scalar df-sca . (Contributed by Mario Carneiro, 19-Jun-2014)

Ref Expression
Assertion scaid ⊢ Scalar = Slot Scalar ⁡ ndx

Proof

Step Hyp Ref Expression
1 df-sca ⊢ Scalar = Slot 5
2 5nn ⊢ 5 ∈ ℕ
3 1 2 ndxid ⊢ Scalar = Slot Scalar ⁡ ndx