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Proof step 166 from proof compat-addobj (previous step)

st[r0 -- _length] = intval(i) ∧ is_integervalue(st[r0 -- _length]), st[r0 -- _type] = typeval(mkarraytype(ty0)), is_predefined_class(class), newref(r, st), compatmode(str, st), compatstatic(str, st), r0 -- _type ∈ st, r0 ∈ st, ¬ has_classtype(ty0) ∨ tdname+∃(str, ty0 .jtelemtype .class), ¬ has_classtype(ty0) ∨ class∃(str, ty0 .jtelemtype .class) ∨ interface∃(str, ty0 .jtelemtype .class) ∨ is_predefined_class(ty0 .jtelemtype .class) → is_arraytype(typeval(mkarraytype(ty0)) .type) ∧ r0 -- _length ∈ st ∧ is_integervalue(st[r0 -- _length]) ∧ 0 ≤ i ∧ is_arrayref(r0, i, st) ∧ (∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → compat(str, st[r0 -- j0 '], typeval(mkarraytype(ty0)) .type .type, st)) ⊦ r = jvmref, r0 = jvmref, (0 ≤ j ∧ j < i → compat(str, st[r0 -- j '], ty0, addobj(r, class, [], st))) ∧ is_arrayref(r0, i, addobj(r, class, [], st)) ∧ ¬ i < 0 ∧ is_integervalue(st[r0 -- _length]) ∧ r0 -- _length ∈ addobj(r, class, [], st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 165:
st[r0 -- _type] = typeval(mkarraytype(ty0)), st[r0 -- _length] = intval(i), r0 ∈ st, r0 -- _type ∈ st, compatstatic(str, st), compatmode(str, st), newref(r, st), is_predefined_class(class), ¬ has_classtype(ty0) ∨ class∃(str, ty0 .jtelemtype .class) ∨ interface∃(str, ty0 .jtelemtype .class) ∨ is_predefined_class(ty0 .jtelemtype .class) → r0 -- _length ∈ st ∧ 0 ≤ i ∧ is_arrayref(r0, i, st) ∧ (∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → compat(str, st[r0 -- j0 '], ty0, st)), ¬ has_classtype(ty0) ∨ tdname+∃(str, ty0 .jtelemtype .class) ⊦ r0 = jvmref, r = jvmref, (0 ≤ j ∧ j < i → compat(str, st[r0 -- j '], ty0, addobj(r, class, [], st))) ∧ is_arrayref(r0, i, addobj(r, class, [], st)) ∧ ¬ i < 0 ∧ r0 -- _length ∈ addobj(r, class, [], st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_integervalue(intval(i))], [CSIMPSEQ : ⊦ mkarraytype(ty) .type = ty], [CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))], [CSIMPSEQ : ⊦ typeval(ty) .type = ty])]]