set p = |[0 ,0 ]|;
set q = |[1,1]|;
A1: |[0 ,0 ]| `2 = 0 by EUCLID:56;
A2: |[1,1]| `1 = 1 by EUCLID:56;
A3: |[1,1]| `2 = 1 by EUCLID:56;
|[0 ,0 ]| `1 = 0 by EUCLID:56;
then <*|[0 ,0 ]|,|[(|[0 ,0 ]| `1 ),(|[1,1]| `2 )]|,|[1,1]|*> is being_S-Seq by A1, A2, A3, TOPREAL3:41;
hence ex b₁ being FinSequence of (TOP-REAL 2) st b₁ is being_S-Seq ; :: thesis: verum