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Proof step 45 from proof pathex-put-nopathex (previous step)

is_obj(str, r, st[r0 -- sk, val]), fs ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r0 -- sk, val][r -- fs ']), validrefs(str, (st[r0 -- sk, val][r -- fs ']) .refval ' + refs1, fs .type, st[r0 -- sk, val]), ∀ val0, sk0, r3, st0, r2, str, refs. # refs < # ((st[r0 -- sk, val][r -- fs ']) .refval + refs1) → ( validrefs(str, r2 ' + refs, st0[r2 -- _type] .type, st0[r3 -- sk0, val0]) → sk0 = _type ∨ path∃(str, r2, r3, st0) ∨ junkref(str, r2, st0) ∨ path∃(str, r2, (r2 ' + refs) .last, st0)) ⊦ sk = _type, r = jvmref, junkref(str, r, st), path∃(str, r, r0, st), path∃(str, r, ((st[r0 -- sk, val][r -- fs ']) .refval ' + refs1) .last, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 44:
fs = mkfs(class, ty, fieldvar), is_obj(str, r, st[r0 -- sk, val]), fs ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r0 -- sk, val][r -- fs ']), validrefs(str, (st[r0 -- sk, val][r -- fs ']) .refval ' + refs1, ty, st[r0 -- sk, val]), ∀ val0, sk0, r3, st0, r2, str, refs. # refs < # ((st[r0 -- sk, val][r -- fs ']) .refval + refs1) → ( validrefs(str, r2 ' + refs, st0[r2 -- _type] .type, st0[r3 -- sk0, val0]) → sk0 = _type ∨ path∃(str, r2, r3, st0) ∨ junkref(str, r2, st0) ∨ path∃(str, r2, (r2 ' + refs) .last, st0)) ⊦ sk = _type, r = jvmref, junkref(str, r, st), path∃(str, r, r0, st), path∃(str, r, ((st[r0 -- sk, val][r -- fs ']) .refval ' + refs1) .last, st)

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)]]