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Proof step 9 from proof refine-insert (conclusion)

bst(t), s = t.set, ((tr(r, t) * P))(H) ⊦ ⟪search_tree_insert(a; r, H)⟫ ⟨ordered_set_insert(a; s)⟩ ⟨t := t.insert(a)⟩ (s = t.set ∧ ((tr(r, t) * P))(H) ∧ bst(t))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
bst(t), ((tr(r, t) * P))(H) ⊦ ⟪search_tree_insert(a; r, H)⟫ ⟨s := t.set; ordered_set_insert(a; s)⟩ ⟨t := t.insert(a)⟩ (s = t.set ∧ ((tr(r, t) * P))(H) ∧ bst(t))

Rule argument

Additional information

[Concretesimprules(())]