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Proof step 5 from proof fromnext-reachable (previous step)

path(r ' + x, H), (r ' + x).last ∈ H ⊦ r = (r ' + x).last, reachable(H[r].nxt, (r ' + x).last, H)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 6:
path(r ' + x, H), (r ' + x).last ∈ H ⊦ x = [], r = (r ' + x).last, reachable(H[r].nxt, (r ' + x).last, H)

Rule argument

fma: x = []

Additional information

Used simplifier rules: app: ⊦ x0 + [] = x0; from specification list[reflist]%a: ⊦ (x0 + x1) + x2 = x0 + x1 + x2; from specification list[reflist]%l: ⊦ r '.last = r; from specification list-last[reflist] Used formulas: x = []