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Proof step 71 from proof sharing-pathex-field-self-01 (conclusion)

⊦ r ≠ jvmref ∧ is_classtype(st[r -- _type] .type) ∧ fs ' ∈ instfields(st[r -- _type] .type .class) ∧ path∃(str, st[r -- fs '] .refval, r, st) → hasSharing(r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ path∃(str, r, r0, st) ↔ (∃ refs. refs ≠ [] ∧ refs .first = r ∧ refs .last = r0 ∧ validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st))
Proof step 70:
⊦ r ≠ jvmref ∧ is_classtype(st[r -- _type] .type) ∧ fs ' ∈ instfields(st[r -- _type] .type .class) ∧ (∃ refs. refs ≠ [] ∧ refs .first = st[r -- fs '] .refval ∧ refs .last = r ∧ validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st)) → hasSharing(r, st)

Rule argument

[x0lemmaarg: spec-name: cyclic instance-name: lemma-name: pathex-def antecedent: succedent: path∃(str, r, r0, st) ↔ (∃ refs. refs ≠ [] ∧ refs .first = r ∧ refs .last = r0 ∧ validrefs (str, refs, mkclasstype(`java.lang.Object' .class), st)) substlist: [st, r0, r, str] → [st, r, st[r -- fs '] .refval, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r, st[r -- fs '] .refval, str)]]