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Proof step 13 from proof isobj-put-badfield (previous step)

st[r -- _type] = typeval(mkclasstype(class)), r ∈ st, goodfieldsandtypes(r, instfields(class), st), r -- _type ∈ st ⊦ r = jvmref, fs ' = _type, fs ' ∈ instfields(class), is_obj(r, class, st[r -- fs ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ is_obj(r, class, st) ↔ r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class)) ∈ st ∧ goodfieldsandtypes(r, instfields(class), st)
Proof step 12:
st[r -- _type] = typeval(mkclasstype(class)), r ∈ st, goodfieldsandtypes(r, instfields(class), st), r -- _type ∈ st ⊦ r = jvmref, fs ' = _type, fs ' ∈ instfields(class), r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class)) ∈ st[r -- fs ', val] ∧ goodfieldsandtypes(r, instfields(class), st[r -- fs ', val])

Rule argument

[crewrite-arg: is_obj-def , F , [st, class, r] → [st[r -- fs ', val], class, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- fs ', val], class, r)]]