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Proof step 24 from proof pop-corr (previous step)

ar[i→n(i0) % i→n(i)] ' + x = tolist(mk(ar, i, i0, n→i(# x) + 1), 1 + # x), i0 < n→i(# ar), inv(mk(ar, i, i0, n→i(# x) + 1)), inv(mk(ar, i, (i0 + 1) % i, n→i(# x))), 0 ≤ i0, ar[i→n(i0) % i→n(i)] ∈ tolist(mk(ar, i, i0, n→i(# x) + 1), 1 + # x) ⊦ # ar = 0, ar[i→n(i0) % i→n(i)] = ar[i→n(i0)]

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: nat-div instance-name: lemma-name: mod-eq antecedent: succedent: m < n → m % n = m substlist: [n, m] → [i→n(i), i→n(i0)] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 1, 1, 0, 1, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (i→n(i), i→n(i0))]]