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Proof step 12 from proof validrefnotnull-putbar (previous step)

st[r0 -- _length] = intval(i0), okreftype(refval(r0), mkarraytype(byte_type), st), r0 -- _length ∈ st, is_integervalue(st[r0 -- _length]), is_arrayref(r0, i0, st), validrefnotnull(str, r, ty, st), r0 ∈ st, 0 ≤ i0, ∀ r0, st, str, r, ty, i. okbytearray(r0, st) ∧ validrefnotnull(str, r, ty, st) → r = r0 ∨ r = jvmref ∨ validrefnotnull(str, r, ty, putByteArray(bytes0, r0, i, st)), ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → is_bytevalue(st[r0 -- j ']) ⊦ r = r0, r = jvmref, st[r0 -- _type] .type .type = byte_type, r0 = jvmref, validref(str, r, ty, putByteArray(bytes0, r0, i + 1, st)[r0 -- i ', byteval(by)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
st[r0 -- _length] = intval(i0), 0 ≤ i0, r0 ∈ st, validrefnotnull(str, r, ty, st), is_arrayref(r0, i0, st), r0 -- _length ∈ st, okreftype(refval(r0), mkarraytype(byte_type), st), ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → is_bytevalue(st[r0 -- j ']), ∀ r0, st, str, r, ty, i. okbytearray(r0, st) ∧ validrefnotnull(str, r, ty, st) → r = r0 ∨ r = jvmref ∨ validrefnotnull(str, r, ty, putByteArray(bytes0, r0, i, st)) ⊦ r0 = jvmref, st[r0 -- _type] .type .type = byte_type, r = jvmref, r = r0, validref(str, r, ty, putByteArray(bytes0, r0, i + 1, st)[r0 -- i ', byteval(by)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_integervalue(intval(i))], [CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j])]]