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Proof step 12 from proof exactarray-put (previous step)

st[r -- _type] = typeval(mkarraytype(byte_type)), st[r -- _length] = intval(i0), 0 ≤ i0, r ∈ st, r -- _type ∈ st, is_arrayref(r, i0, st), r -- _length ∈ st ⊦ r = jvmref, ∀ j. 0 ≤ j ∧ j < i0 → r -- j ' ∈ st[r0 -- i ', byteval(by)]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
st[r -- _type] = typeval(mkarraytype(byte_type)), st[r -- _length] = intval(i0), j < i0, 0 ≤ i0, r ∈ st, r -- _type ∈ st, is_arrayref(r, i0, st), r -- _length ∈ st, 0 ≤ j, 0 < i0 ⊦ r = jvmref, r -- j ' ∈ st, r = r0 ∧ j = i

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0], [CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)], [CSIMPSEQ : ⊦ rk ∈ st[rk0, val] ↔ rk = rk0 ∨ rk ∈ st])]]