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Proof step 164 from proof compat-addobj (previous step)

r0 -- _length ∈ st ∧ 0 ≤ i ∧ is_arrayref(r0, i, st) ∧ (∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → compat(str, st[r0 -- j0 '], ty0, st)), 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) ∨ 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)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 163:
st[r0 -- _type] = typeval(mkarraytype(ty0)), st[r0 -- _length] = intval(i), r0 -- _length ∈ st, is_arrayref(r0, i, st), r0 ∈ st, r0 -- _type ∈ st, compatstatic(str, st), compatmode(str, st), newref(r, st), is_predefined_class(class), 0 ≤ i, ∀ 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))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPSEQ : ⊦ rk ∈ st → rk ∈ addobj(r, class1, fis, st)], [CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)])]]