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Proof step 19 from proof isobj-put-samefield-01 (previous step)

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

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 18:
r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class)) ∈ st[r -- mkfs(class0, ty, fieldvar) ', val] ∧ goodfieldsandtypes(r, instfields(class), st[r -- mkfs(class0, ty, fieldvar) ', val]), r -- mkfs(class0, ty, fieldvar) ' ∈ st, okval(st[r -- mkfs(class0, ty, fieldvar) '], ty), okval(val, ty), r ∈ st ⊦ mkfs(class0, ty, fieldvar) ' = _type, r = jvmref, goodfieldsandtypes(r, instfields(class), st) ∧ st[r -- _type] = typeval(mkclasstype(class)) ∧ r -- _type ∈ st

Rule argument

[crewrite-arg: is_obj-def , F , [st, class, r] → [st[r -- mkfs(class0, ty, fieldvar) ', val], class, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- mkfs(class0, ty, fieldvar) ', val], class, r)]]