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Proof step 10 from proof validrefkeynotnull-put-byteval (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ r ≠ jvmref ∧ sk ≠ _length ∧ sk ≠ _type ∧ ¬ is_indexkey(sk) ∧ sk .fs .type = byte_type ∧ is_bytevalue(st[r -- sk]) ∧ validrefnotnull(str, r0, ty, st) → validrefnotnull(str, r0, ty, st[r -- sk, byteval(by)])

Rule argument

[crewrite-arg: validrefnotnull-put-byteval , F , [by, sk, r, st, ty, r0, str] → [by, mkfs(class, byte_type, fieldvar) ', r, st, ty, r0, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class1, byte_type, fieldvar) ' ≠ _type], [CSIMPSEQ : ⊦ ¬ is_indexkey(fs ')], [CSIMPSEQ : ⊦ fs ' .fs = fs], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty])], [EXTRATERMS : (by, mkfs(class, byte_type, fieldvar) ', r, st, ty, r0, str)]]