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Proof step 10 from proof reachable-closed (previous step)

r0 ∈ H1, closed(H1), H0 ⊥ H1, reachable(r0, r1, H0 ∪ H1) ⊦ r1 ∈ H1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ reachable(r0, r1, H) ↔ (∃ x. path(x, r0, r1, H))

Rule argument

spec: inst: name:reachable seq: ⊦ reachable(r0, r1, H) ↔ (∃ x. path(x, r0, r1, H)) subst:[H, r1, r0] → [H0 ∪ H1, r1, r0] flags:rewrite, current

Additional information

[Concretesimprules(()), Extraterms((H0 ∪ H1r1r0))]