1. ~(Hv~K)
2. L-->H /L-->M
3. ~H&~~K 1, DM (DeMorgan's law)
4. ~H&K 3, DN (double negation)
5. ~H 4, simp. (simplification)
6. ~L 2,5, MT (Modus tollens)
7. ~LvM 6, add. (addition)
8. L-->M 7, MI (material implication)
[This is an illustration of the fact that a false statement
implies anything. :) ]
Edwin