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Proof step 106 from proof hasSharing-addobj-same (previous step)

fis .keys = instfields(class), dups(fis .vals .nonnullrefs), newref(r, st), validfieldinits(str, fis, st) ⊦ r = jvmref, ∃ sks1, sks2. fits(r, sks1, addobj(r, class, fis, st)) ∧ fits(r, sks2, addobj(r, class, fis, st)) ∧ sks1 ≠ sks2 ∧ (addobj(r, class, fis, st)[r -- sks1]) .refval ≠ jvmref ∧ (addobj(r, class, fis, st)[r -- sks1]) = (addobj(r, class, fis, st)[r -- sks2]), junkref(str, r, addobj(r, class, fis, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: okfuns instance-name: lemma-name: nonnullrefs-dups-key antecedent: succedent: ¬ dups(fis .keys) → ( dups(fis .vals .nonnullrefs) ↔ (∃ r, sk, sk0. sk ≠ sk0 ∧ r ≠ jvmref ∧ fis[sk] = refval(r) ∧ fis[sk0] = refval(r) ∧ sk ∈ fis ∧ sk0 ∈ fis)) substlist: [fis] → [fis] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (fis)]]