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Proof step 75 from proof path-dups (previous step)

x[m] = x[n], path(x, H), n < # x, m < # x ⊦ m = n, x = [], cyclic(hd x, H)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 74:
x = r + x1, x[m] = x[n], path(x, H), n < # x, m < # x ⊦ m = n, x = [], cyclic(r, H)

Rule argument

[x0lemmaarg: spec-name: list-data instance-name: reflist lemma-name: elim-list-c antecedent: x0 ≠ [] succedent: r = hd x0 ∧ x1 = tl x0 ↔ x0 = r + x1 substlist: [x0, r, x1] → [x, r, x0] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : x0 ≠ [] ⊦ r = hd x0 ∧ x1 = tl x0 ↔ x0 = r + x1])], [EXTRATERMS : (x, r, x0)]]