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Proof step 9 from proof getbytearray-pseq-nojunk-02 (previous step)

st[r -- _length] .intval = i2 + i, st[r -- _type] = st1[r1 -- _type], st1[r1 -- _length] .intval = i2 + i, st1[r1 -- _type] .type = mkarraytype(byte_type), is_referencevalue(st[r -- i ']), 0 ≤ i3, 0 < i2, r ∈ st, i3 < i2, 0 < i2 + i, 0 ≤ i, r -- _type ∈ st, is_typevalue(st1[r1 -- _type]), okreftype(refval(r), mkarraytype(byte_type), st), r -- _length ∈ st, is_integervalue(st[r -- _length]), is_arrayref(r, i2 + i, st), 0 ≤ i2 + i, ∀ i0. ¬ i0 < 0 ∧ ¬ i2 + i ≤ i0 ∧ ¬ is_referencevalue(st[r -- i0 ']) → st[r -- i0 '] = st1[r1 -- i0 '], ∀ i0. ¬ i0 < 0 ∧ ¬ i2 + i ≤ i0 ∧ is_referencevalue(st[r -- i0 ']) → ps=(st[r -- i0 '] .refval, st, st1[r1 -- i0 '] .refval, st1), ∀ j. ¬ j < 0 ∧ ¬ i2 + i ≤ j → is_bytevalue(st[r -- j ']), ∀ i1, st1, r1, i0, r0, st0. i→n(st0[r0 -- _length] .intval - i0) < i→n(i2) → ( st0[r0 -- _type] .type = mkarraytype(byte_type) ∧ 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 ∨ junkref(`docs2store', r0, st0)) ⊦ r1 = jvmref, st[r -- i '] .byteval = st1[r1 -- i '] .byteval, 0 = i2, r = jvmref, ∃ refs. refs ≠ [] ∧ refs .first = r ∧ junkrefs(`docs2store', refs, mkarraytype(byte_type), st)

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 21, [extquanttermlist: (i)abort:F, discard:F, computed:F]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ i + j ≤ i ↔ j ≤ 0], [CSIMPSEQ : ⊦ i ≠ j → (i ≤ j ↔ i < j)], [CSIMPSEQ : ⊦ i < j → ¬ j < i], [CSIMPSEQ : ⊦ is_referencevalue(val) → ¬ is_bytevalue(val)])], [EXTRATERMS : (i)]]