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Proof step 6 from proof modify+-sym (previous step)

modify(rs) ^*(H0, H1) ⊦ modify(rs) ^*(H1, H0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ PHH ^*(H, H0) ↔ (∃ n. rtc(n, PHH)(H, H0))
Proof step 8:
∃ n. rtc(n, modify(rs))(H0, H1) ⊦ modify(rs) ^*(H1, H0)

Rule argument

spec: rtc, inst: rtc-heap name: rtc seq: ⊦ PHH ^*(H, H0) ↔ (∃ n. rtc(n, PHH)(H, H0)) subst: [H0, H, PHH] → [H1, H0, modify(rs)] flags: <all paths>

Additional information

Used terms: H1, H0, modify(rs)