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 e. NN
3 1 2 ndxid 
 |-  Scalar = Slot ( Scalar ` ndx )