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Proof step 17 from proof legal-noncylic-equiv-reaches-null (previous step)

n0 ≠ 0, legal(H), r ∈ H, ∃ x. path(x, H) ∧ hd x = r ∧ x .last = r0 ∧ # x = n0 + 1 ⊦ H[r0] .nxt = null, r = null, ∃ r0. reachable(r, r0, H) ∧ H[r0] .nxt = null, r0 ≠ null ∧ r0 ∈ H

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
# x = n0 + 1, legal(H), hd x ∈ H, path(x, H) ⊦ H[x .last] .nxt = null, hd x = null, n0 = 0, ∃ r0. reachable(hd x, r0, H) ∧ H[r0] .nxt = null, x .last ≠ null ∧ x .last ∈ H

Rule argument

[emptyarg]

Additional information

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