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Proof step 25 from proof junkrefs-put-badclassfield (previous step)

st[r0 -- _type] .type = mkclasstype(class), is_obj(str, r, st[r0 -- fs ', val]), st[r -- _type] .type ≤ ty, is_obj(str, r, st), fs0 ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r0 -- fs ', val][r -- fs0 ']), junkrefs(str, (st[r0 -- fs ', val][r -- fs0 ']) .refval ' + refs, fs0 .type, st[r0 -- fs ', val]), ∀ str0, ty0, st0, fs1, r1, val0. ¬ junkrefs(str0, (st[r0 -- fs ', val][r -- fs0 ']) .refval ' + refs, ty0, st0) ∧ fs1 ' ≠ _type ∧ is_classtype(st0[r1 -- _type] .type) ∧ ¬ fs1 ' ∈ instfields(st0[r1 -- _type] .type .class) → ¬ junkrefs(str0, (st[r0 -- fs ', val][r -- fs0 ']) .refval ' + refs, ty0, st0[r1 -- fs1 ', val0]) ⊦ fs ' = _type, r = jvmref, fs ' ∈ instfields(class), junkrefs(str, r ' + (st[r0 -- fs ', val][r -- fs0 ']) .refval ' + refs, ty, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 24:
fs0 = mkfs(class0, ty1, fieldvar), st[r0 -- _type] .type = mkclasstype(class), is_obj(str, r, st[r0 -- fs ', val]), st[r -- _type] .type ≤ ty, is_obj(str, r, st), fs0 ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r0 -- fs ', val][r -- fs0 ']), junkrefs(str, (st[r0 -- fs ', val][r -- fs0 ']) .refval ' + refs, ty1, st[r0 -- fs ', val]), ∀ str0, ty0, st0, fs1, r1, val0. ¬ junkrefs(str0, (st[r0 -- fs ', val][r -- fs0 ']) .refval ' + refs, ty0, st0) ∧ fs1 ' ≠ _type ∧ is_classtype(st0[r1 -- _type] .type) ∧ ¬ fs1 ' ∈ instfields(st0[r1 -- _type] .type .class) → ¬ junkrefs(str0, (st[r0 -- fs ', val][r -- fs0 ']) .refval ' + refs, ty0, st0[r1 -- fs1 ', val0]) ⊦ fs ' = _type, r = jvmref, fs ' ∈ instfields(class), junkrefs(str, r ' + (st[r0 -- fs ', val][r -- fs0 ']) .refval ' + refs, ty, st)

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs0, class0, ty1, fieldvar] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs0, class0, ty1, fieldvar)]]