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Proof step 25 from proof isarray-addarray-01 (previous step)

okarray(r1, st[r1 -- _type] .type .type, addarray(r0, ty, vals, st)), is_arraytype(st[r1 -- _type] .type), is_typevalue(st[r1 -- _type]), r1 -- _type ∈ st, r1 ∈ st ⊦ r1 = jvmref, r1 = r0, is_array(r1, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 24:
st[r1 -- _type] .type = mkarraytype(ty0), okarray(r1, ty0, addarray(r0, ty, vals, st)), is_arraytype(st[r1 -- _type] .type), is_typevalue(st[r1 -- _type]), r1 -- _type ∈ st, r1 ∈ st ⊦ r1 = jvmref, r1 = r0, is_array(r1, st)

Rule argument

[speclemmaarg: ,is_arraytype(ty) → (ty0 = ty .type ↔ ty = mkarraytype(ty0)) ,[ty, ty0] → [st[r1 -- _type] .type, ty0] ,T ,javatype , ,elim-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_arraytype(ty) → ( ty0 = ty .type ↔ ty = mkarraytype(ty0))])], [EXTRATERMS : (st[r1 -- _type] .type, ty0)]]