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Proof step 12 from proof validrefkeynotnull-put-byteval (previous step)

st[rk] = refval(r0), is_bytevalue(st[r -- mkfs(class, byte_type, fieldvar) ']), rk ∈ st, validrefnotnull(str, r0, ty, st) ⊦ r0 = jvmref, mkfs(class, byte_type, fieldvar) ' = _length, r = jvmref, is_referencevalue(st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)][rk]) ∧ validrefnotnull (str, (st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)][rk]) .refval, ty, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ rk ≠ rk0 → (st[rk0, val][rk]) = st[rk]
Proof step 11:
rk ≠ r -- mkfs(class, byte_type, fieldvar) ', st[rk] = refval(r0), is_bytevalue(st[r -- mkfs(class, byte_type, fieldvar) ']), rk ∈ st, validrefnotnull(str, r0, ty, st) ⊦ r0 = jvmref, mkfs(class, byte_type, fieldvar) ' = _length, r = jvmref, is_referencevalue(st[rk]) ∧ validrefnotnull(str, st[rk] .refval, ty, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)])

Rule argument

[speclemmaarg: ,rk ≠ rk0 → (st[rk0, val][rk]) = st[rk] ,[rk, val, rk0, st] → [rk, byteval(by), r -- mkfs(class, byte_type, fieldvar) ', st] ,F ,store ,javastore ,At-other ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (st[rk, val][rk]) = val], [CSIMPSEQ : ⊦ ¬ is_referencevalue(byteval(by))], [CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ ¬ is_bytevalue(refval(r))])], [EXTRATERMS : (rk, byteval(by), r -- mkfs(class, byte_type, fieldvar) ', st)]]