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Proof step 25 from proof junkrefs-put-nopathex-equiv (previous step)

is_obj(str, r1, st), st[r1 -- _type] .type ≤ ty, is_valid_ref(str, r0, st), fs ' ∈ instfields(st[r1 -- _type] .type .class), is_referencevalue(st[r1 -- fs ']), junkrefs(str, st[r1 -- fs '] .refval ' + refs, fs .type, st), ∀ str0, r, st0, sk0, ty0, val0. ¬ path∃(str0, st[r1 -- fs '] .refval, r, st0) ∧ is_valid_ref(str0, r, st0) ∧ sk0 ≠ _type → (junkrefs(str0, st[r1 -- fs '] .refval ' + refs, ty0, st0[r -- sk0, val0]) ↔ junkrefs(str0, st[r1 -- fs '] .refval ' + refs, ty0, st0)) ⊦ r0 = r1, r1 = jvmref, sk = _type, path∃(str, r1, r0, st), junkrefs(str, r1 ' + st[r1 -- fs '] .refval ' + refs, ty, st[r0 -- sk, val])

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, ty1, 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, ty1, fieldvar)]]