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Proof step 55 from proof getbytearray-pseq-02 (previous step)

st[r -- _length] .intval = i2 + i, 0 ≤ i1, 0 < st[r -- _length] .intval, 0 ≤ i, i + i1 ≤ st[r -- _length] .intval, i < st[r -- _length] .intval, ps=(r, st, r1, st1), validref(`docs2store', r, mkarraytype(byte_type), st), ∀ i1, st1, r1, i0, r0, st0. i→n(st0[r0 -- _length] .intval - i0) < i→n(i2) → ( validref(`docs2store', r0, mkarraytype(byte_type), st0) ∧ ps=(r0, st0, r1, st1) ∧ i0 < st0[r0 -- _length] .intval ∧ i0 + i1 ≤ st0[r0 -- _length] .intval ∧ 0 ≤ i0 ∧ 0 < st0[r0 -- _length] .intval ∧ 0 ≤ i1 → getbytearray(r0, i0, i1, st0) = getbytearray(r1, i0, i1, st1) ∨ r0 = jvmref) ⊦ r = jvmref, getbytearray(r, i, i1, st) = getbytearray(r1, i, i1, st1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 54:
st[r -- _length] .intval = i2 + i, 0 ≤ i, 0 ≤ i1, 0 < i2 + i, validref(`docs2store', r, mkarraytype(byte_type), st), ps=(r, st, r1, st1), i1 ≤ i2, 0 < i2, 0 ≤ i2, ∀ i1, st1, r1, i0, r0, st0. i→n(st0[r0 -- _length] .intval - i0) < i→n(i2) → ( validref(`docs2store', r0, mkarraytype(byte_type), st0) ∧ ps=(r0, st0, r1, st1) ∧ i0 < st0[r0 -- _length] .intval ∧ i0 + i1 ≤ st0[r0 -- _length] .intval ∧ 0 ≤ i0 ∧ 0 < st0[r0 -- _length] .intval ∧ 0 ≤ i1 → getbytearray(r0, i0, i1, st0) = getbytearray(r1, i0, i1, st1) ∨ r0 = jvmref) ⊦ getbytearray(r, i, i1, st) = getbytearray(r1, i, i1, st1), r = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPSEQ : ⊦ i + j ≤ i0 + j ↔ i ≤ i0], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i < i + j ↔ 0 < j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j])]]