Metamath Proof Explorer


Theorem hvaddlidi

Description: Addition with the zero vector. (Contributed by NM, 18-Aug-1999) (New usage is discouraged.)

Ref Expression
Hypothesis hvaddlid.1
|- A e. ~H
Assertion hvaddlidi
|- ( 0h +h A ) = A

Proof

Step Hyp Ref Expression
1 hvaddlid.1
 |-  A e. ~H
2 hvaddlid
 |-  ( A e. ~H -> ( 0h +h A ) = A )
3 1 2 ax-mp
 |-  ( 0h +h A ) = A