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Proof step 27 from proof legal-noncylic-equiv-reaches-null (previous step)

legal(H), r ∈ H, reachable-n(H, n0, r, r0) ⊦ r = null, ∃ r0. reachable(r, r0, H) ∧ H[r0] .nxt = null, ∃ r0. reachable-n(H, n0 + 1, r, r0)

User applied rule exists right

And obtained the following new goals

Proof step 26:
legal(H), r ∈ H, reachable-n(H, n0, r, r0) ⊦ r = null, ∃ r0. reachable(r, r0, H) ∧ H[r0] .nxt = null, reachable-n(H, n0 + 1, r, H[r0] .nxt)

Rule argument

[EXRARG : pos: right 3, [extquanttermlist: (H[r0] .nxt) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (H[r0] .nxt)]]