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Proof step 4 from proof bst-elem-order-right (previous step)

b ∈ t1, bst(branch(t0, a, t1)) ⊦ a < b

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ bst(branch(t0, b, t1)) ↔ (∀ a. a ∈ t0 → a < b) ∧ (∀ a. a ∈ t1 → b < a) ∧ bst(t0) ∧ bst(t1)

Rule argument

spec: inst: name: bst-branch seq: ⊦ bst(branch(t0, b, t1)) ↔ (∀ a. a ∈ t0 → a < b) ∧ (∀ a. a ∈ t1 → b < a) ∧ bst(t0) ∧ bst(t1) subst: [t1, b, t0] → [t1, a, t0] flags: rewrite, current

Additional information

[Concretesimprules(()), Extraterms((t1at0))]