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Proof step 84 from proof hassharing-validrefs-dups (previous step)

validrefs(str, st[r -- fs '] .refval ' + refs1, fs .type, st), is_referencevalue(st[r -- fs ']), fs ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, st[r -- fs '] .refval ' + refs1, st[st[r -- fs '] .refval -- _type] .type, st), hasSharing(st[r -- fs '] .refval, st), is_obj(str, r, st), ∀ st0, str, refs, r0. # (r0 ' + refs) < # (r ' + (st[r -- fs '] .refval + refs1)) → (validrefs(str, r0 ' + refs, st0[r0 -- _type] .type, st0) → hasSharing(r0, st0) ∨ ¬ r0 ∈ refs ∧ ¬ dups(refs)) ⊦ r = jvmref, r ∈ refs1, hasSharing(r, st), ¬ st[r -- fs '] .refval ∈ refs1 ∧ ¬ dups(refs1)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class, ty, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs, class, ty, fieldvar)]]