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Proof step 7 from proof isobj-put-samefield (previous step)

st[r -- _type] = typeval(mkclasstype(class0)), r -- mkfs(class, ty, fieldvar) ' ∈ st, okval(st[r -- mkfs(class, ty, fieldvar) '], ty), okval(val, ty), r ∈ st, r -- _type ∈ st, is_obj(r, class0, st[r -- mkfs(class, ty, fieldvar) ', val]) ⊦ mkfs(class, ty, fieldvar) ' = _type, r = jvmref, is_obj(r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ is_obj(r, st) ↔ r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_classtype(st[r -- _type] .type) ∧ is_obj(r, st[r -- _type] .type .class, st)
Proof step 6:
st[r -- _type] = typeval(mkclasstype(class0)), r -- mkfs(class, ty, fieldvar) ' ∈ st, okval(st[r -- mkfs(class, ty, fieldvar) '], ty), okval(val, ty), r ∈ st, r -- _type ∈ st, is_obj(r, class0, st[r -- mkfs(class, ty, fieldvar) ', val]) ⊦ mkfs(class, ty, fieldvar) ' = _type, r = jvmref, r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_classtype(st[r -- _type] .type) ∧ is_obj(r, st[r -- _type] .type .class, st)

Rule argument

[crewrite-arg: is-any-object, F, [st, r] → [st, r]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r)]]