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Proof step 72 from proof rem-stays-reachable-aux2 (previous step)

(x2.last ' + x0).last = (r ' + x).last, (r ' + x1).last = (r ' + x).last, x2 = (x + H[x2.last].nxt ') + r0 ' + y, path(r ' + x + H[x2.last].nxt ', H), path(x2.last ' + x0, H), path(r ' + x1, H), path(r ' + x2, H), (r ' + x).last ∈ H, x2.last ∈ H, H[x2.last].nxt ∈ H, x1 = x2 ∨ x1 = x2 + r1 ' + y0 ∨ x2 = x1 + r2 ' + x3 ⊦ x2.last = r, H[x2.last].nxt = null, x2 = [], dups(x2), dups(x1), dups(x0), r ∈ x2, r ∈ x1, x2.last ∈ x0, x2.last ∈ x

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: left 11

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