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Proof step 44 from proof junkrefs-put-badclassfield (previous step)

acc = r1 + refs, st[r0 -- _type] .type = mkclasstype(class), r1 = st[r -- i '] .refval, is_array(str, r, st[r0 -- fs ', val]), st[r -- _type] .type ≤ ty, is_array(str, r, st), i < (st[r0 -- fs ', val][r -- _length]) .intval, is_referencevalue(st[r -- i ']), junkrefs(str, acc, st[r -- _type] .type .type, st[r0 -- fs ', val]), 0 ≤ i, 0 < (st[r0 -- fs ', val][r -- _length]) .intval, ∀ str, ty, st, fs, r0, val. ¬ junkrefs(str, acc, ty, st) ∧ fs ' ≠ _type ∧ is_classtype(st[r0 -- _type] .type) ∧ ¬ fs ' ∈ instfields(st[r0 -- _type] .type .class) → ¬ junkrefs(str, acc, ty, st[r0 -- fs ', val]) ⊦ fs ' = _type, r = jvmref, acc = [], junkrefs(str, r ' + acc, ty, st), fs ' ∈ instfields(class)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 43:
st[r0 -- _type] .type = mkclasstype(class), 0 ≤ i, 0 < (st[r0 -- fs ', val][r -- _length]) .intval, is_array(str, r, st[r0 -- fs ', val]), st[r -- _type] .type ≤ ty, is_array(str, r, st), i < (st[r0 -- fs ', val][r -- _length]) .intval, is_referencevalue(st[r -- i ']), junkrefs(str, st[r -- i '] .refval ' + refs, st[r -- _type] .type .type, st[r0 -- fs ', val]), ∀ str0, ty0, st0, fs0, r1, val0. ¬ junkrefs(str0, st[r -- i '] .refval ' + refs, ty0, st0) ∧ fs0 ' ≠ _type ∧ is_classtype(st0[r1 -- _type] .type) ∧ ¬ fs0 ' ∈ instfields(st0[r1 -- _type] .type .class) → ¬ junkrefs(str0, st[r -- i '] .refval ' + refs, ty0, st0[r1 -- fs0 ', val0]) ⊦ fs ' = _type, r = jvmref, fs ' ∈ instfields(class), junkrefs(str, r ' + st[r -- i '] .refval ' + refs, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]