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Proof step 1 from proof disj (conclusion)

⊦ mk(rs0, f0) ⊥ mk(rs1, f1) ↔ rs0 ∩ rs1 = ∅

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ H0 ⊥ H1 ↔ (∀ r. ¬ r ∈ H0 ∨ ¬ r ∈ H1)
Proof step 3:
⊦ (∀ r. ¬ r ∈ mk(rs0, f0) ∨ ¬ r ∈ mk(rs1, f1)) ↔ rs0 ∩ rs1 = ∅

Rule argument

spec: heap name: disj seq: ⊦ H0 ⊥ H1 ↔ (∀ r. ¬ r ∈ H0 ∨ ¬ r ∈ H1) subst: [H1, H0] → [mk(rs1, f1), mk(rs0, f0)] flags: <all paths>

Additional information

Used terms: mk(rs1, f1), mk(rs0, f0)