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Proof step 6 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, 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])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
st[r -- _type] = typeval(mkarraytype(ty0)), r ∈ st, okarray(r, ty0, st), r -- _type ∈ st, oktype(val, ty, st) ⊦ r = jvmref, mkfs(class, ty, fieldvar) ' = _length, mkfs(class, ty, fieldvar) ' = _type, okarray(r, ty0, st[r -- mkfs(class, ty, fieldvar) ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkarraytype(ty) .type = ty], [CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ is_typevalue(typeval(ty))], [CSIMPSEQ : ⊦ sk ≠ sk0 → (st[r -- sk, val][r0 -- sk0]) = st[r0 -- sk0]], [CSIMPSEQ : sk ≠ sk0 ⊦ r -- sk ∈ st[r -- sk0, val] ↔ r -- sk ∈ st])]]