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Proof step 31 from proof delete-prepost-min (conclusion)

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))

User applied rule insert lemma

And obtained the following new goals

Proof step 1:
r ≠ null, ((tr(r, t) * P))(H) ⊦ ⟨search_tree_delete_min(; a, r, H)⟩ (((tr(r, t.butleftmost) * P))(H) ∧ a = t.leftmost)

Rule argument

spec: inst: name: delete-prepost seq: r ≠ null, ((tr(r, t) * P))(H) ⊦ ⟨search_tree_delete_min(; a, r, H)⟩ (((tr(r, t.butleftmost) * P))(H) ∧ a = t.leftmost) subst: [r, t, P, H, a] → [r, t, P, H, a] flags: current, []

Additional information

[Concretesimprules(()), Extraterms((rtPHa))]