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Proof step 20 from proof validrefs-lastelem (previous step)

st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), is_obj(r0, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), validrefs(str, r1 ', ty0, st) ⊦ r0 = jvmref, is_reftype(ty0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ 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 19:
st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), r0 ≠ jvmref ∧ r0 -- _type ∈ st ∧ is_typevalue(st[r0 -- _type]) ∧ is_classtype(st[r0 -- _type] .type) ∧ is_obj(r0, st[r0 -- _type] .type .class, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), validrefs(str, r1 ', ty0, st) ⊦ r0 = jvmref, is_reftype(ty0)

Rule argument

[speclemmaarg: , 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) ,[st, r] → [st, r0] ,F ,addfuns , ,is-any-object ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r0)]]