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Proof step 7 from proof modify-footprint (previous step)

modify(rs)(H0, H1) ⊦ P(H0) ↔ P(H1), modify*(rs)(H0, H1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ modify*(rs)(H0, H1) ↔ modify(rs) ^*(H0, H1)

Rule argument

spec: <toplevel> name: modify+ seq: ⊦ modify*(rs)(H0, H1) ↔ modify(rs) ^*(H0, H1) subst: [H1, H0, rs] → [H1, H0, rs] flags: <all paths>

Additional information

Used simplifier rules: ⊦ PHH(H, H0) → (PHH ^*(H, H0) ↔ true); (ss) Used terms: H1, H0, rs