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Proof step 32 from proof junkrefs-put-notin-butlast (previous step)

acc + r ' = st[r0 -- fs '] .refval ' + refs, st[r0 -- _type] .type ≤ ty, r ∈ st, okval(val, ty0), okval(st[r -- mkfs(class, ty0, fieldvar) '], ty0), r -- mkfs(class, ty0, fieldvar) ' ∈ st, is_obj(str, r0, st), junkrefs(str, acc + r ', fs .type, st), is_referencevalue(st[r0 -- fs ']), fs ' ∈ instfields(st[r0 -- _type] .type .class), ∀ r, fs, st, val, str, ty. r -- fs ' ∈ st ∧ okval(st[r -- fs '], fs .type) ∧ okval(val, fs .type) ∧ r ∈ st → (junkrefs(str, acc + r ', ty, st[r -- fs ', val]) ↔ junkrefs(str, acc + r ', ty, st)) ∨ fs ' = _type ∨ fs ' = _length ∨ r ∈ acc ⊦ mkfs(class, ty0, fieldvar) ' = _length, mkfs(class, ty0, fieldvar) ' = _type, r0 = jvmref, r = r0, r ∈ acc, ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ st[r0 -- fs '] .refval = st[r0 -- fs0 '] .refval ∧ junkrefs(str, st[r0 -- fs0 '] .refval ' + refs, fs0 .type, st[r -- mkfs(class, ty0, fieldvar) ', val]), r ≠ st[r0 -- fs '] .refval ∧ ¬ r ∈ refs, ¬ st[r0 -- fs '] .refval ∈ acc ∧ st[r0 -- fs '] .refval ≠ r

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 31:
fs = mkfs(class0, ty1, fieldvar0), acc + r ' = st[r0 -- fs '] .refval ' + refs, st[r0 -- _type] .type ≤ ty, r ∈ st, okval(val, ty0), okval(st[r -- mkfs(class, ty0, fieldvar) '], ty0), r -- mkfs(class, ty0, fieldvar) ' ∈ st, is_obj(str, r0, st), junkrefs(str, acc + r ', ty1, st), is_referencevalue(st[r0 -- fs ']), fs ' ∈ instfields(st[r0 -- _type] .type .class), ∀ r, fs, st, val, str, ty. r -- fs ' ∈ st ∧ okval(st[r -- fs '], fs .type) ∧ okval(val, fs .type) ∧ r ∈ st → (junkrefs(str, acc + r ', ty, st[r -- fs ', val]) ↔ junkrefs(str, acc + r ', ty, st)) ∨ fs ' = _type ∨ fs ' = _length ∨ r ∈ acc ⊦ mkfs(class, ty0, fieldvar) ' = _length, mkfs(class, ty0, fieldvar) ' = _type, r0 = jvmref, r = r0, r ∈ acc, ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ st[r0 -- fs '] .refval = st[r0 -- fs0 '] .refval ∧ junkrefs(str, st[r0 -- fs0 '] .refval ' + refs, fs0 .type, st[r -- mkfs(class, ty0, fieldvar) ', val]), r ≠ st[r0 -- fs '] .refval ∧ ¬ r ∈ refs, ¬ st[r0 -- fs '] .refval ∈ acc ∧ st[r0 -- fs '] .refval ≠ r

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs, class0, ty1, fieldvar0] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs, class0, ty1, fieldvar0)]]