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Proof step 29 from proof unchNorec-isarray (previous step)

st[r -- _length] = st0[r -- _length], st0[r -- _type] = typeval(mkarraytype(ty)), st[r -- _type] = typeval(mkarraytype(ty)), 0 ≤ st0[r -- _length] .intval, r ∈ st0, r -- _type ∈ st0, unchangedNorec(r, st, st0), r -- _type ∈ st, is_arrayref(r, st0[r -- _length] .intval, st), r -- _length ∈ st, okreftype(refval(r), mkarraytype(ty), st), r ∈ st, is_integervalue(st0[r -- _length]), r -- _length ∈ st0, ∀ j0. ¬ j0 < 0 ∧ ¬ st0[r -- _length] .intval ≤ j0 → okval(st[r -- j0 '], ty), ∀ i. ¬ i < 0 ∧ ¬ st0[r -- _length] .intval ≤ i → st[r -- i '] = st0[r -- i '] ⊦ r = jvmref, (0 ≤ j ∧ j < st0[r -- _length] .intval → okval(st0[r -- j '], ty)) ∧ is_arrayref(r, st0[r -- _length] .intval, st0) ∧ okreftype(refval(r), mkarraytype(ty), st0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: javavalue instance-name: lemma-name: elim-02 antecedent: succedent: is_integervalue(val) → (i = val .intval ↔ val = intval(i)) substlist: [val, i] → [st0[r -- _length], i0] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_integervalue(val) → ( i = val .intval ↔ val = intval(i))])], [EXTRATERMS : (st0[r -- _length], i0)]]