End PartialTreeboxRep_Ind_Pred_Ind_Hole.
Module PartialTreeRep_WandQFrame_Func_Hole.
Export PartialTree_WandQFrame_Func_Hole.
Definition partial_tree_rep := partialT tree_rep.

Lemma partial_tree_rep_partial_tree_rep: forall pt12 pt23 p1 p2 p3,
partial_tree_rep pt12 p2 p1 * partial_tree_rep pt23 p3 p2 |-- partial_tree_rep (Basics.compose pt23 pt12) p3 p1.