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Proof step 14 from proof add-okstore (previous step)

jvmref ∈ st, _mode ∈ st, _out ∈ st, r0 ∈ addobj(r, class1, fis, st), ∀ r. r ≠ jvmref ∧ r ∈ st → r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ⊦ r0 = jvmref, _type ∈ fis, r0 -- _type ∈ addobj(r, class1, fis, st) ∧ is_typevalue(addobj(r, class1, fis, st)[r0 -- _type])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ r ≠ r0 → (addobj(r, class1, fis, st)[r0 -- sk]) = st[r0 -- sk]
Proof step 7:
⊦ r ∈ addobj(r, class1, fis, st)
Proof step 8:
⊦ r -- _type ∈ addobj(r, class1, fis, st)
Proof step 9:
¬ _type ∈ fis ⊦ (addobj(r, class1, fis, st)[r -- _type]) = typeval(mkclasstype(class1))
Proof step 13:
r ≠ r0, jvmref ∈ st, _mode ∈ st, _out ∈ st, r0 ∈ addobj(r, class1, fis, st), ∀ r. r ≠ jvmref ∧ r ∈ st → r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ⊦ r0 = jvmref, _type ∈ fis, r0 -- _type ∈ addobj(r, class1, fis, st) ∧ is_typevalue(st[r0 -- _type])

Rule argument

[crewrite-arg: add-ref , F , [sk, r0, st, fis, class1, r] → [_type, r0, st, fis, class1, r] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_typevalue(typeval(ty))])], [EXTRATERMS : (_type, r0, st, fis, class1, r)]]