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Proof step 8 from proof isarray-put-okval (previous step)

st[r -- _type] = typeval(mkarraytype(ty)), okval(val, ty), is_array(r, st), r -- _type ∈ st, r ∈ st ⊦ r = jvmref, okarray(r, ty, st[r -- i ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ 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:
⊦ okarray(r, ty, st) → r ≠ jvmref ∧ r ∈ st
Proof step 7:
⊦ okarray(r, ty, st) ∧ okval(val, ty) → okarray(r, ty, st[r -- i ', val])

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ mkarraytype(ty) .type = ty], [CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))], [CSIMPSEQ : ⊦ is_typevalue(typeval(ty))])], [EXTRATERMS : (st, r)]]