Level: Lib Thy Top: 1
Hypotheses:

  1. A :

  2. R : A List A List

  3. EquivRel(A List;x,y.x R y)

  4. x,y,z:A List. x R y (z @ x) R (z @ y)

  5. g : x,y:(A List)//(x R y)

Conclusion:

Refl(x,y:(A List)//(x R y);u,v.u Rg v) Sym(x,y:(A List)//(x R y);u,v.u Rg v) Trans(x,y:(A List)//(x R y);u,v.u Rg v)

Applied Tactic: GenExRepD
Generated subgoals:

1. Refl(x,y:(A List)//(x R y);u,v.u Rg v)

2. Sym(x,y:(A List)//(x R y);u,v.u Rg v)

3. Trans(x,y:(A List)//(x R y);u,v.u Rg v)