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Proof step 8 from proof junkrefs-put-badarrayfield (previous step)

¬ (is_obj(str, r, st[r0 -- fs ', val]) ∧ (st[r0 -- fs ', val][r -- _type]) .type ≤ ty), is_obj(str, r, st), is_arraytype(st[r0 -- _type] .type), junkrefs(str, r ' + acc, ty, st[r0 -- fs ', val]), st[r -- _type] .type ≤ ty, ∀ str, ty, st, fs, r0, val. ¬ junkrefs(str, acc, ty, st) ∧ fs ' ≠ _type ∧ is_arraytype(st[r0 -- _type] .type) ∧ fs ' ≠ _length → ¬ junkrefs(str, acc, ty, st[r0 -- fs ', val]) ⊦ fs ' = _length, fs ' = _type, r = jvmref, junkrefs(str, r ' + acc, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
is_obj(str, r, st), is_arraytype(st[r0 -- _type] .type), junkrefs(str, r ' + acc, ty, st[r0 -- fs ', val]), st[r -- _type] .type ≤ ty, ∀ str, ty, st, fs, r0, val. ¬ junkrefs(str, acc, ty, st) ∧ fs ' ≠ _type ∧ is_arraytype(st[r0 -- _type] .type) ∧ fs ' ≠ _length → ¬ junkrefs(str, acc, ty, st[r0 -- fs ', val]) ⊦ fs ' = _length, fs ' = _type, r = jvmref, junkrefs(str, r ' + acc, ty, st), is_obj(str, r, st[r0 -- fs ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ sk ≠ sk0 → (st[r -- sk, val][r0 -- sk0]) = st[r0 -- sk0]], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]