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Proof step 28 from proof validref-refs-last-valid-subset (previous step)

st0[r0 -- _length] = intval(i0), st[r0 -- _type] = typeval(mkarraytype(ty)), r0 -- _type ∈ st, ty ≤ ty0, i < i0, 0 ≤ i, validref(str, r0, mkarraytype(ty0), st), st ⊆ st0, 0 ≤ i0, r0 ∈ st, type∃(str, ty), okreftype(refval(r0), mkarraytype(ty), st) ∧ r0 ≠ jvmref ∧ r0 -- _length ∈ st ∧ is_integervalue(st[r0 -- _length]) ∧ 0 ≤ st[r0 -- _length] .intval ∧ is_arrayref(r0, st[r0 -- _length] .intval, st) ∧ (∀ j. 0 ≤ j ∧ j < st[r0 -- _length] .intval → oktype(st[r0 -- j '], ty, st)) ⊦ r0 = jvmref, ty .jtelemtype = abstract_type, ty .jtelemtype = void_type, r0 -- i ' ∈ st, noval .refval ∈ acc, r1 ≠ r2 ∧ ¬ r1 ∈ refs, ¬ r2 ∈ acc ∧ r2 ≠ r1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
st0[r0 -- _length] = intval(i0), st[r0 -- _type] = typeval(mkarraytype(ty)), r0 -- _type ∈ st, ty ≤ ty0, i < i0, 0 ≤ i, validref(str, r0, mkarraytype(ty0), st), st ⊆ st0, 0 ≤ i0, r0 ∈ st, type∃(str, ty), okreftype(refval(r0), mkarraytype(ty), st), is_arrayref(r0, st[r0 -- _length] .intval, st), 0 ≤ st[r0 -- _length] .intval, ∀ j. ¬ j < 0 ∧ ¬ st[r0 -- _length] .intval ≤ j → okval(st[r0 -- j '], ty) ⊦ ty .jtelemtype = abstract_type, ty .jtelemtype = void_type, r0 = jvmref, r0 -- i ' ∈ st, noval .refval ∈ acc, r1 ≠ r2 ∧ ¬ r1 ∈ refs, ¬ r2 ∈ acc ∧ r2 ≠ r1

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPSEQ : ⊦ oktype(val, ty, st) ↔ okval(val, ty)], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ validref (str, r, mkarraytype(ty), st) ∧ r ≠ jvmref → is_integervalue(st[r -- _length])], [CSIMPSEQ : ⊦ validref (str, r, mkarraytype(ty), st) ∧ r ≠ jvmref → r -- _length ∈ st])]]