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Proof step 38 from proof k-reachable-def (previous step)

H[r].nxt ∈ H, r ∈ H, reachable-n(H, n0, H[r].nxt, r0), n0 = 0 ∨ path(H[r].nxt ' + x, H) ∧ (H[r].nxt ' + x).last = r0 ⊦ n0 = 0, H[r].nxt = null, r = null, ∃ x. path(r ' + x, H) ∧ (r ' + x).last = r0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 39:
path(H[r].nxt ' + x, H), reachable-n(H, n0, H[r].nxt, (H[r].nxt ' + x).last), r ∈ H, H[r].nxt ∈ H ⊦ r = null, H[r].nxt = null, n0 = 0, ∃ x0. path(r ' + x0, H) ∧ (r ' + x0).last = (H[r].nxt ' + x).last

Proof step 38 from proof k-reachable-def (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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