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Proof step 20 from proof modify+-sym (previous step)

modify(rs)(H0, H), rtc(n0, modify(rs))(H, H1), ∀ rs, H0, H1. rtc(n0, modify(rs))(H0, H1) → rtc(n0, modify(rs))(H1, H0) ⊦ ∃ H2. rtc(n0, modify(rs))(H1, H2) ∧ modify(rs)(H2, H0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 21:
⊦ modify(rs)(H0, H1) ↔ modify(rs)(H1, H0)
Proof step 22:
modify(rs)(H, H0), rtc(n0, modify(rs))(H, H1), ∀ rs, H0, H1. rtc(n0, modify(rs))(H0, H1) → rtc(n0, modify(rs))(H1, H0) ⊦ ∃ H2. rtc(n0, modify(rs))(H1, H2) ∧ modify(rs)(H2, H0)

Rule argument

spec: <toplevel> name: modify-sym seq: ⊦ modify(rs)(H0, H1) ↔ modify(rs)(H1, H0) subst: [H1, H0, rs] → [H, H0, rs] flags: <all paths>

Additional information

Used terms: H, H0, rs