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Proof step 106 from proof copy-comp (previous step)

r2 ∈ st0, 0 ≤ i2, 0 ≤ i3, okreftype(refval(r2), mkarraytype(ty), st0) ∧ r2 ≠ jvmref ∧ r2 -- _length ∈ st0 ∧ is_integervalue(st0[r2 -- _length]) ∧ 0 ≤ st0[r2 -- _length] .intval ∧ is_arrayref(r2, st0[r2 -- _length] .intval, st0) ∧ (∀ j. 0 ≤ j ∧ j < st0[r2 -- _length] .intval → oktype(st0[r2 -- j '], ty, st0)), i2 + i3 ≤ st0[r2 -- _length] .intval, ∀ j. ¬ j < 0 ∧ ¬ i3 ≤ j → st0[r1 -- (i1 + j) '] = st0[r2 -- (i2 + j) '] ⊦ 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 simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
⊦ okreftype(val, ty, st) ↔ is_referencevalue(val) ∧ (val .refval ≠ jvmref → val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type ≤ ty)
Proof step 7:
⊦ oktype(val, ty, st) ↔ okval(val, ty)
Proof step 105:
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 ']

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ ty0 ≤ mkarraytype(ty) ↔ is_arraytype(ty0) ∧ ty0 .type ≤ ty], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]