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Proof step 46 from proof isarray-update (previous step)

r -- _type ∈ st, is_typevalue(st[r -- _type]), is_arraytype(st[r -- _type] .type), r ∈ st ⊦ r = r0, okarray(r, st[r -- _type] .type .type, update(r0, fis, st)) ↔ okarray(r, st[r -- _type] .type .type, st), r = jvmref

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 45:
st[r -- _type] .type = mkarraytype(ty), r -- _type ∈ st, is_typevalue(st[r -- _type]), is_arraytype(st[r -- _type] .type), r ∈ st ⊦ r = r0, okarray(r, ty, update(r0, fis, st)) ↔ okarray(r, ty, st), r = jvmref

Rule argument

[speclemmaarg: ,is_arraytype(ty) → (ty0 = ty .type ↔ ty = mkarraytype(ty0)) ,[ty, ty0] → [st[r -- _type] .type, ty] ,T ,javatype , ,elim-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_arraytype(ty) → ( ty0 = ty .type ↔ ty = mkarraytype(ty0))])], [EXTRATERMS : (st[r -- _type] .type, ty)]]