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Proof step 17 from proof suffix-lcp (previous step)

m0 + 1 = lcp(ar, n0, n2), n0 ≤ # ar, n1 ≤ # ar, n2 ≤ # ar, suffix(ar, n0) < suffix(ar, n1), suffix(ar, n1) < suffix(ar, n2), lcp(ar, n0, n1) < lcp(ar, n0, n2), lcp(ar, n0, n1) ≤ m0, ∀ ar0, n, n3, n4. m0 ≠ lcp(ar0, n, n3) ∨ ¬ lcp(ar0, n, n4) < lcp(ar0, n, n3) ∨ ¬ suffix(ar0, n4) < suffix(ar0, n3) ∨ ¬ suffix(ar0, n) < suffix(ar0, n4) ∨ ¬ n3 ≤ # ar0 ∨ ¬ n4 ≤ # ar0 ∨ ¬ n ≤ # ar0 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ lcp(ar, n0, n1) = (((n0 ≥ # ar ∨ n1 ≥ # ar ∨ ar[n0] ≠ ar[n1]) ⊃ 0; lcp(ar, n0 + 1, n1 + 1) + 1))

Rule argument

[x0lemmaarg: spec-name: lcp instance-name: lemma-name: lcp-def antecedent: succedent: lcp(ar, n0, n1) = (((n0 ≥ # ar ∨ n1 ≥ # ar ∨ ar[n0] ≠ ar[n1]) ⊃ 0 ; lcp(ar, n0 + 1, n1 + 1) + 1 ) ) substlist: [n1, n0, ar] → [n2, n0, ar] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 0, 1, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (n2, n0, ar)]]