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Proof step 2 from proof modify-agree (previous step)

modify*(rs)(H0, H1) ⊦ ((H0 ≡ H1))(rs)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ modify*(rs)(H0, H1) ↔ modify(rs) ^*(H0, H1)
Proof step 4:
modify(rs) ^*(H0, H1) ⊦ ((H0 ≡ H1))(rs)

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 terms: H1, H0, rs