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Theorem delete-prepost-min

r ≠ null, ((tr(r, t) * P))(H), bst(t) ⊦ ⟨search_tree_delete_min(; a, r, H)⟩ (((tr(r, t.butleftmost) * P))(H) ∧ bst(t.butleftmost) ∧ a = t.leftmost ∧ ¬ a ∈ t.butleftmost ∧ (∀ b. b ∈ t.butleftmost → a < b))