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Theorem refine-delete-min

s ≠ ∅, bst(t), s = t.set, ((tr(r, t) * P))(H) ⊦ ⟪search_tree_delete_min(; a, r, H)⟫ ⟨ordered_set_delete_min(; b, s)⟩ ⟨t := t.butleftmost⟩ (s = t.set ∧ a = b ∧ ((tr(r, t) * P))(H) ∧ bst(t))