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Proof step 13 from proof reachset-succ (previous step)

H[r] = Node(b, succ), r ∈ H, a ∈ succ ⊦ reachset(succ[a], H) ⊆ reachset(r, H)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ rs ⊆ rs0 ↔ (∀ r. r ∈ rs → r ∈ rs0)

Rule argument

spec:set-basic inst:refset name:Subset seq: ⊦ rs ⊆ rs0 ↔ (∀ r. r ∈ rs → r ∈ rs0) subst:[rs0, rs] → [reachset(r, H), reachset(succ[a], H)] flags:rewrite

Additional information

[Concretesimprules(()), Extraterms((reachset(r, H)reachset(succ[a], H)))]