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Proof step 32 from proof junkrefs-put-badclassfield (previous step)

st[r0 -- _type] .type = mkclasstype(class), is_array(str, r, st), 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_classtype(st[r0 -- _type] .type) ∧ ¬ fs ' ∈ instfields(st[r0 -- _type] .type .class) → ¬ junkrefs(str, acc, ty, st[r0 -- fs ', val]) ⊦ fs ' = _type, r = jvmref, junkrefs(str, r ' + acc, ty, st), fs ' ∈ instfields(class), is_array(str, r, st[r0 -- fs ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , r ≠ r0 → (is_array(str, r0, st[r -- sk, val]) ↔ is_array(str, r0, st)) ,[val, sk, r, st, r0, str] → [val, fs ', r0, st, r, str] ,F ,okfuns , ,is_array-put-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_array(str, r, st) → st[r -- _type] .type ≠ mkclasstype(class)])], [EXTRATERMS : (val, fs ', r0, st, r, str)]]