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

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ ¬ is_typevalue(st[r -- _type]) → ¬ is_obj(str, r, st)], [CSIMPSEQ : ⊦ ¬ is_reftype (st[r -- _type] .type) → ¬ is_obj(str, r, st)])], [EXTRATERMS : (val, fs ', r0, st, r, str)]]