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Proof step 8 from proof isarray-put-samefield-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ 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 7:
st[r -- _type] = typeval(mkarraytype(ty0)), okarray(r, ty0, st[r -- mkfs(class, ty, fieldvar) ', val]), r -- _type ∈ st, oktype(val, ty, st), oktype(st[r -- mkfs(class, ty, fieldvar) '], ty, st), r -- mkfs(class, ty, fieldvar) ' ∈ st, r ∈ st ⊦ r = jvmref, mkfs(class, ty, fieldvar) ' = _type, mkfs(class, ty, fieldvar) ' = _length, r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_arraytype(st[r -- _type] .type) ∧ okarray(r, st[r -- _type] .type .type, st)

Rule argument

[crewrite-arg: is-any-array, F, [st, r] → [st, r]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r)]]