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Proof step 8 from proof junkref-addarray-newref-put (previous step)

newref(r0, st), is_bytelist(vals), junkrefs (str, r ' + refs1, (addarray(r0, byte_type, vals, st)[r -- _type]) .type, addarray(r0, byte_type, vals, st)[r1 -- mkfs(class, mkarraytype(byte_type), fieldvar) ', refval(r0)]) ⊦ r0 = jvmref, junkrefs(str, r ' + refs1, st[r -- _type] .type, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ rk .ref ≠ r → (addarray(r, ty, vals, st)[rk]) = st[rk]
Proof step 4:
⊦ newref(r, st) → (¬ junkrefs(str, r ' + refs, ty, st) ↔ false)
Proof step 7:
(r -- _type) .ref ≠ r0, newref(r0, st), is_bytelist(vals), junkrefs(str, r ' + refs1, st[r -- _type] .type, addarray(r0, byte_type, vals, st)[r1 -- mkfs(class, mkarraytype(byte_type), fieldvar) ', refval(r0)]) ⊦ r0 = jvmref, junkrefs(str, r ' + refs1, st[r -- _type] .type, st)

Rule argument

[speclemmaarg: ,rk .ref ≠ r → (addarray(r, ty, vals, st)[rk]) = st[rk] ,[rk, st, vals, ty, r] → [r -- _type, st, vals, byte_type, r0] ,F ,addarray , ,add-at-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (r -- sk) .ref = r], [CSIMPSEQ : ⊦ (addarray(r, ty, vals, st) [r -- _type ] ) = typeval(mkarraytype(ty))], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (r -- _type, st, vals, byte_type, r0)]]