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Proof step 9 from proof exactarray-putar (previous step)

st[r1 -- _length] = intval(j), st[r1 -- _type] = typeval(mkarraytype(byte_type)), r1 -- _type ∈ st, r1 ∈ st, r1 -- _length ∈ st ⊦ r = r1, r1 = jvmref, (∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → r1 -- j0 ' ∈ st) ↔ (∀ j0. 0 ≤ j0 ∧ j0 < j → r1 -- j0 ' ∈ st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
st[r1 -- _length] = intval(j), st[r1 -- _type] = typeval(mkarraytype(byte_type)), r1 -- _type ∈ st, r1 ∈ st, r1 -- _length ∈ st, j0 < j, 0 ≤ j0, 0 < j, ∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → r1 -- j0 ' ∈ st ⊦ r = r1, r1 = jvmref, r1 -- j0 ' ∈ st

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]