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Proof step 79 from proof junkrefs-put-refval (previous step)

is_obj(str, r1, st), is_obj(r, st), st[r0 -- _type] .type ≤ ty0, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), junkrefs(str, r1 ' + acc, ty, st[r -- mkfs(class, ty0, fieldvar) ', refval(r0)]), st[r1 -- _type] .type ≤ ty, r ∈ acc, ∀ str, ty, st, r0, r, fs. ¬ junkrefs(str, acc, ty, st) ∧ ¬ junkref(str, r0, st) ∧ is_obj(r, st) ∧ st[r0 -- _type] .type ≤ fs .type ∧ r0 ≠ jvmref ∧ fs ' ∈ instfields(st[r -- _type] .type .class) → ¬ junkrefs(str, acc, ty, st[r -- fs ', refval(r0)]) ⊦ r = r1, r1 = jvmref, r0 = jvmref, acc = [], junkref(str, r0, st), ∃ fs. fs ' ∈ instfields(st[r1 -- _type] .type .class) ∧ is_referencevalue(st[r1 -- fs ']) ∧ acc .first = st[r1 -- fs '] .refval ∧ junkrefs(str, acc, fs .type, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 ,[refs, r, refs0] → [acc, r2, refs] ,T ,list-data ,references-olista ,elim-list-c ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : refs ≠ [] ⊦ r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0])], [EXTRATERMS : (acc, r2, refs)]]