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

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ 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 12:
r ≠ jvmref ∧ r -- _type ∈ st[r -- mkfs(class, ty, fieldvar) ', val] ∧ is_typevalue(st[r -- mkfs(class, ty, fieldvar) ', val][r -- _type]) ∧ is_classtype((st[r -- mkfs(class, ty, fieldvar) ', val][r -- _type]) .type) ∧ is_obj(r, (st[r -- mkfs(class, ty, fieldvar) ', val][r -- _type]) .type .class, st[r -- mkfs(class, ty, fieldvar) ', val]), r -- mkfs(class, ty, fieldvar) ' ∈ st, okval(st[r -- mkfs(class, ty, fieldvar) '], ty), okval(val, ty), r ∈ st ⊦ mkfs(class, ty, fieldvar) ' = _type, is_obj(r, st)

Rule argument

[crewrite-arg: is-any-object , F , [st, r] → [st[r -- mkfs(class, ty, fieldvar) ', val], r] ]

Additional information

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