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Proof step 2 from proof startnotinH-notreachable (previous step)

reachable(r, r0, H), r0 ∈ H ⊦ r ∈ H

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name: reachable-def seq: ⊦ reachable(r, r0, H) ↔ (∃ x. path(r ' + x, H) ∧ (r ' + x).last = r0) subst: [H, r0, r] → [H, r0, r] flags: rewrite, current

Additional information

Used simplifier rules: path-first-in-H: ⊦ path(r ' + x, H) → (¬ r ∈ H ↔ false);%a: ⊦ (x0 + x1) + x2 = x0 + x1 + x2; from specification list[reflist] Used terms: H, r0, r