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Proof step 12 from proof modify+-sym (previous step)

rtc(n, modify(rs))(H0, H1) ⊦ rtc(n, modify(rs))(H1, H0)

User applied rule structural induction

And obtained the following new goals

Proof step 13:
rtc(n0 +1, modify(rs))(H0, H1), ∀ rs, H0, H1. rtc(n0, modify(rs))(H0, H1) → rtc(n0, modify(rs))(H1, H0) ⊦ rtc(n0 +1, modify(rs))(H1, H0)

Rule argument

indvar: n

Additional information

Used simplifier rules: nat freely generated by 0, +1;;% ⊦ rtc(0, PHH)(H, H0) ↔ H = H0; (s)