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Proof step 6 from proof k-reachable-def (previous step)

∃ x. path(r ' + x, H) ∧ (r ' + x).last = r0 ⊦ r ≠ null ∧ r ∈ H ∧ (∃ n. reachable-n(H, n, r, r0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
path(r ' + x, H) ⊦ r = null, ∃ n. reachable-n(H, n, r, (r ' + x).last)

Rule argument

Additional information

Used simplifier rules: path-first-in-H: ⊦ path(r ' + x, H) → (¬ r ∈ H ↔ false);%null-not-start-of-path: ⊦ ¬ path(null ' + x, H);%a: ⊦ (x0 + x1) + x2 = x0 + x1 + x2; from specification list[reflist]