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Proof step 29 from proof pop-corr (previous step)

a ' + 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, ¬ (mk(ar, i, (i0 + 1) % i, n→i(# x)) .len = n→i(# x) ∧ x = tolist(mk(ar, i, (i0 + 1) % i, n→i(# x)), i→n(mk(ar, i, (i0 + 1) % i, n→i(# x)) .len))) ∨ a ≠ ar[i→n(i0)] ⊦ # ar = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 28:
a ' + 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, x ≠ tolist(mk(ar, i, (i0 + 1) % i, n→i(# x)), # x) ∨ a ≠ ar[i→n(i0)] ⊦ # ar = 0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i→n(n→i(n)) = n], [CSIMPSEQ : ⊦ n→i(m) = n→i(n) ↔ m = n], [CSIMPSEQ : ⊦ mk(ar, i, i0, i1) .len = i1])]]