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Proof step 24 from proof validref-refs-last-valid-subset (previous step)

¬ (r0 -- _length ∈ st ∧ st[r0 -- _length] ≠ st0[r0 -- _length]), 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), 0 ≤ st[r0 -- _length] .intval, ∀ j. ¬ j < 0 ∧ ¬ st[r0 -- _length] .intval ≤ j → okval(st[r0 -- j '], ty), ∀ j. ¬ j < 0 ∧ ¬ st[r0 -- _length] .intval ≤ j → r0 -- j ' ∈ st ⊦ ty .jtelemtype = abstract_type, ty .jtelemtype = void_type, r0 = jvmref, 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 23:
st[r0 -- _length] = intval(i0), st[r0 -- _type] = typeval(mkarraytype(ty)), st0[r0 -- _length] = intval(i0), okreftype(refval(r0), mkarraytype(ty), st), type∃(str, ty), r0 ∈ st, 0 ≤ i0, st ⊆ st0, validref(str, r0, mkarraytype(ty0), st), 0 ≤ i, i < i0, ty ≤ ty0, r0 -- _type ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → r0 -- j ' ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st[r0 -- j '], ty) ⊦ r0 = jvmref, ty .jtelemtype = void_type, ty .jtelemtype = abstract_type, noval .refval ∈ acc, r0 -- i ' ∈ st, ¬ r2 ∈ acc ∧ r2 ≠ r1, r1 ≠ r2 ∧ ¬ r1 ∈ refs

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j], [CSIMPSEQ : ⊦ intval(i) .intval = i], [CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPSEQ : ⊦ validref (str, r, mkarraytype(ty), st) ∧ r ≠ jvmref → r -- _length ∈ st])]]