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Proof step 3 from proof cyclic-all-ncyclic (previous step)

reachable-n(H, n, r, r), reachable-n(H, m, r, r0) ⊦ reachable-n(H, n0 * n, r0, r0)

User applied rule insert lemma

And obtained the following new goals

Proof step 1:
⊦ reachable-n(H, n, r, r) ∧ reachable-n(H, m, r, r0) → (¬ reachable-n(H, n, r0, r0) ↔ false)
Proof step 2:
⊦ reachable-n(H, n, r, r) → (¬ reachable-n(H, n0 * n, r, r) ↔ false)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: cyclic-all-cyclic antecedent: succedent: reachable-n(H, n, r, r) ∧ reachable-n(H, m, r, r0) → (¬ reachable-n(H, n, r0, r0) ↔ false) substlist: [H, n, r, m, r0] → [H, n, r, m, r0] add preconditions?: F is rewrite lemma?: F current spec?: T rotate lemma?: F replace all?: F paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m0 * m * n = (m0 * m) * n], [CSIMPSEQ : ⊦ m * n = n * m])], [EXTRATERMS : (H, n, r, m, r0)]]