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Proof step 105 from proof copy-comp (previous step)

r2 -- _length ∈ st0, is_integervalue(st0[r2 -- _length]), is_arrayref(r2, st0[r2 -- _length] .intval, st0), i2 + i3 ≤ st0[r2 -- _length] .intval, 0 ≤ i2, 0 ≤ i3, r2 -- _type ∈ st0, is_typevalue(st0[r2 -- _type]), is_arraytype(st0[r2 -- _type] .type), st0[r2 -- _type] .type .type ≤ ty, 0 ≤ st0[r2 -- _length] .intval, r2 ∈ st0, ∀ j. ¬ j < 0 ∧ ¬ i3 ≤ j → st0[r1 -- (i1 + j) '] = st0[r2 -- (i2 + j) '], ∀ j. ¬ j < 0 ∧ ¬ st0[r2 -- _length] .intval ≤ j → okval(st0[r2 -- j '], ty) ⊦ r2 = jvmref, (r2 -- i ' ∈ arraycopy(r1, i1, r2, i2, i3, st0) ↔ r2 -- i ' ∈ st0) ∧ (arraycopy(r1, i1, r2, i2, i3, st0)[r2 -- i ']) = st0[r2 -- i ']

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 104:
st0[r2 -- _type] .type = mkarraytype(ty0), r2 -- _length ∈ st0, is_integervalue(st0[r2 -- _length]), is_arrayref(r2, st0[r2 -- _length] .intval, st0), i2 + i3 ≤ st0[r2 -- _length] .intval, 0 ≤ i2, 0 ≤ i3, r2 -- _type ∈ st0, is_typevalue(st0[r2 -- _type]), is_arraytype(st0[r2 -- _type] .type), ty0 ≤ ty, 0 ≤ st0[r2 -- _length] .intval, r2 ∈ st0, ∀ j. ¬ j < 0 ∧ ¬ i3 ≤ j → st0[r1 -- (i1 + j) '] = st0[r2 -- (i2 + j) '], ∀ j. ¬ j < 0 ∧ ¬ st0[r2 -- _length] .intval ≤ j → okval(st0[r2 -- j '], ty) ⊦ r2 = jvmref, (r2 -- i ' ∈ arraycopy(r1, i1, r2, i2, i3, st0) ↔ r2 -- i ' ∈ st0) ∧ (arraycopy(r1, i1, r2, i2, i3, st0)[r2 -- i ']) = st0[r2 -- i ']

Rule argument

[speclemmaarg: ,is_arraytype(ty) → (ty0 = ty .type ↔ ty = mkarraytype(ty0)) ,[ty, ty0] → [st0[r2 -- _type] .type, ty0] ,T ,javatype , ,elim-01 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_arraytype(ty) → ( ty0 = ty .type ↔ ty = mkarraytype(ty0))])], [EXTRATERMS : (st0[r2 -- _type] .type, ty0)]]