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Proof step 6 from proof reachable-addnew (previous step)

path(r ' + x, H) ⊦ reachable(r, (r ' + x).last, H[r2, ce]), r2 ∈ H

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 7:
path(r ' + x, H) ⊦ x = [], reachable(r, (r ' + x).last, H[r2, ce]), r2 ∈ H

Rule argument

fma: x = []

Additional information

Used simplifier rules: path-one: ⊦ path(r ', H) ↔ r ∈ H ∧ r ≠ null;%self-reachable: ⊦ reachable(r, r, H) ↔ r ≠ null ∧ r ∈ H;% ⊦ x0 + [] = x0; (s)%a: ⊦ (x0 + x1) + x2 = x0 + x1 + x2; from specification list[reflist]% ⊦ r '.last = r; (s)% ⊦ r ∈ H[r0, ce] ↔ r = r0 ∨ r ∈ H; (ws) Used formulas: x = []