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Proof step 25 from proof getarray-subset-02 (previous step)

r ∈ st, 0 ≤ i, i + j ≤ st[r -- _length] .intval, okarray(r, st[r -- _type] .type .type, st), is_arraytype(st[r -- _type] .type), is_typevalue(st[r -- _type]), r -- _type ∈ st, st ⊆ st0 ⊦ r = jvmref, getarray(r, i, j, st) = getarray(r, i, j, st0), is_arrayref(r, i + j, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 24:
st[r -- _type] .type = mkarraytype(ty), r ∈ st, 0 ≤ i, i + j ≤ st[r -- _length] .intval, okarray(r, ty, st), is_arraytype(st[r -- _type] .type), is_typevalue(st[r -- _type]), r -- _type ∈ st, st ⊆ st0 ⊦ r = jvmref, getarray(r, i, j, st) = getarray(r, i, j, st0), is_arrayref(r, i + j, st)

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)]]