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Proof step 6 from proof disjoint-pathex-forward-both (previous step)

disjoint(str, r1 ' + r1 ', st), disjoint(str, r ' + r1 ', st), path∃(str, r, r1, st), path∃(str, r1, r2, st) ⊦ r = r1, disjoint(str, r2 ' + r1 ', st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: disjoint-nopathex-same antecedent: succedent: disjoint(str, r ' + r0 ', st) ∧ r ≠ r0 ∧ r ≠ jvmref ∧ r0 ≠ jvmref → ¬ path∃(str, r, r0, st) substlist: [st, r0, r, str] → [st, r1, r, str] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((0, 0, 2)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ jvmref → ¬ path∃(str, jvmref, r, st)], [CSIMPSEQ : ⊦ path∃(str, jvmref, r0, st) ↔ r0 = jvmref])], [EXTRATERMS : (st, r1, r, str)]]