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Proof step 2 from proof reachset-one (previous step)

⊦ reachS(a, ∅ ++ b, n) ↔ reach(a, b, n) ∧ ¬ reach<(a, b, n)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ reachS(a, S, n) ↔ (∀ b. b ∈ S → reach(a, b, n) ∧ ¬ reach<(a, b, n))

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: reachset-def antecedent: succedent: reachS(a, S, n) ↔ (∀ b. b ∈ S → reach(a, b, n) ∧ ¬ reach<(a, b, n)) substlist: [n, S, a] → [n, ∅ ++ b, a] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 0, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ a ∈ ∅ ++ b ↔ a = b])], [EXTRATERMS : (n, ∅ ++ b, a)]]