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Proof step 34 from proof unchNorec-isarray (previous step)

¬ ( ¬ ( st[r -- _type] = st0[r -- _type] ∧ (is_classtype(st[r -- _type] .type) → (∀ fs. fs ' ∈ instfields(st[r -- _type] .type .class) → st[r -- fs '] = st0[r -- fs '])) ∧ ( is_arraytype(st[r -- _type] .type) → st[r -- _length] = st0[r -- _length] ∧ (∀ i. 0 ≤ i ∧ i < st[r -- _length] .intval → st[r -- i '] = st0[r -- i ']))) ∧ r ≠ jvmref), st[r -- _type] = typeval(mkarraytype(ty)), unchangedNorec(r, st, st0), r -- _type ∈ st, okarray(r, ty, st), r ∈ st ⊦ r = jvmref, okarray(r, st0[r -- _type] .type .type, st0) ∧ is_arraytype(st0[r -- _type] .type) ∧ is_typevalue(st0[r -- _type]) ∧ r -- _type ∈ st0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
st[r -- _type] = typeval(mkarraytype(ty)), st0[r -- _type] = typeval(mkarraytype(ty)), st[r -- _length] = st0[r -- _length], r ∈ st, okarray(r, ty, st), r -- _type ∈ st, unchangedNorec(r, st, st0), r -- _type ∈ st0, r ∈ st0, ∀ i. ¬ i < 0 ∧ ¬ st0[r -- _length] .intval ≤ i → st[r -- i '] = st0[r -- i '] ⊦ r = jvmref, okarray(r, ty, st0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ noval ≠ typeval(ty)], [CSIMPSEQ : ⊦ ∅[rk] = noval], [CSIMPSEQ : ⊦ ¬ rk ∈ st → st[rk] = ∅[rk]], [CSIMPSEQ : ⊦ is_typevalue(typeval(ty))], [CSIMPSEQ : ⊦ mkarraytype(ty) .type = ty], [CSIMPSEQ : ⊦ ¬ is_classtype(mkarraytype(ty))], [CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]