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Proof step 8 from proof isobj-addarray-other (previous step)

st[r -- _type] = typeval(mkclasstype(class)), r -- _type ∈ st, is_obj(r, class, st), r ∈ st ⊦ r = r0, r = jvmref, r ≠ jvmref ∧ r -- _type ∈ addarray(r0, ty0, vals, st) ∧ is_typevalue(addarray(r0, ty0, vals, st)[r -- _type]) ∧ is_classtype((addarray(r0, ty0, vals, st)[r -- _type]) .type) ∧ is_obj(r, (addarray(r0, ty0, vals, st)[r -- _type]) .type .class, addarray(r0, ty0, vals, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ r ≠ r0 → (r -- sk ∈ addarray(r0, ty, vals, st) ↔ r -- sk ∈ st)
Proof step 4:
⊦ r ≠ r0 → (addarray(r, ty, vals, st)[r0 -- sk]) = st[r0 -- sk]
Proof step 7:
st[r -- _type] = typeval(mkclasstype(class)), r ∈ st, is_obj(r, class, st), r -- _type ∈ st ⊦ r = jvmref, r = r0, is_obj(r, class, addarray(r0, ty0, vals, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkclasstype(class) .class = class], [CSIMPSEQ : ⊦ is_classtype(mkclasstype(class))], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ is_typevalue(typeval(ty))])]]