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Proof step 7 from proof isarray-put-samefield (previous step)

st[r -- _type] = typeval(mkarraytype(ty0)), oktype(val, ty, st), r -- _type ∈ st, okarray(r, ty0, st), r ∈ st ⊦ mkfs(class, ty, fieldvar) ' = _type, mkfs(class, ty, fieldvar) ' = _length, r = jvmref, is_array(r, st[r -- mkfs(class, ty, fieldvar) ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ is_array(r, st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_arraytype(st[r -- _type] .type) ∧ okarray(r, st[r -- _type] .type .type, st)
Proof step 6:
st[r -- _type] = typeval(mkarraytype(ty0)), oktype(val, ty, st), r -- _type ∈ st, okarray(r, ty0, st), r ∈ st ⊦ mkfs(class, ty, fieldvar) ' = _type, mkfs(class, ty, fieldvar) ' = _length, r = jvmref, r ≠ jvmref ∧ r -- _type ∈ st[r -- mkfs(class, ty, fieldvar) ', val] ∧ is_typevalue(st[r -- mkfs(class, ty, fieldvar) ', val][r -- _type]) ∧ is_arraytype((st[r -- mkfs(class, ty, fieldvar) ', val][r -- _type]) .type) ∧ okarray(r, (st[r -- mkfs(class, ty, fieldvar) ', val][r -- _type]) .type .type, st[r -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[crewrite-arg: is-any-array , F , [st, r] → [st[r -- mkfs(class, ty, fieldvar) ', val], r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- mkfs(class, ty, fieldvar) ', val], r)]]