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Proof step 18 from proof pop-corr (previous step)

x ≠ tolist(mk(ar, i, (i0 + 1) % i, n→i(# x)), # x), 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 ⊦ # ar = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
a ' + x = tolist(mk(ar, i, i0, n→i(# x) + 1), 1 + # x), 0 ≤ i0, inv(mk(ar, i, (i0 + 1) % i, n→i(# x))), inv(mk(ar, i, i0, n→i(# x) + 1)), i0 < n→i(# ar) ⊦ x = tolist(mk(ar, i, (i0 + 1) % i, n→i(# x)), # x), # ar = 0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]