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Proof step 23 from proof junkrefs-put-null-02 (previous step)

is_array(str, r0, st), junkrefs(str, r0 ' + acc, ty, st[r0 -- i ', refval(jvmref)]), is_reftype(st[r0 -- _type] .type .type), st[r0 -- _type] .type ≤ ty, ∀ st, r, str, ty, i. is_reftype(st[r -- _type] .type .type) ∧ junkrefs(str, acc, ty, st[r -- i ', refval(jvmref)]) → r = jvmref ∨ junkrefs(str, acc, ty, st) ⊦ r0 = jvmref, junkrefs(str, r0 ' + acc, ty, st), is_array(str, r0, st[r0 -- i ', refval(jvmref)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 22:
⊦ is_array(str, r, st) ∧ okval(val, st[r -- _type] .type .type) → is_array(str, r, st[r -- i ', val])

Rule argument

[speclemmaarg: , is_array(str, r, st) ∧ okval(val, st[r -- _type] .type .type) → is_array(str, r, st[r -- i ', val]) ,[val, i, st, r, str] → [refval(jvmref), i, st, r0, str] ,F ,okfuns , ,is_array-put-okval ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ okval(refval(r), ty) ↔ ty = void_type ∨ is_reftype(ty)])], [EXTRATERMS : (refval(jvmref), i, st, r0, str)]]