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Proof step 12 from proof junkref-class-02 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ is_obj(str, r, st) ↔ class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_classtype(st[r -- _type] .type) ∧ (r -- _type) × st[r -- _type] ∈ st ∧ goodfieldsandtypes(r, instfields(st[r -- _type] .type .class), st)
Proof step 11:
st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_classtype(st[r -- _type] .type) ∧ (r -- _type) × st[r -- _type] ∈ st ∧ goodfieldsandtypes(r, instfields(st[r -- _type] .type .class), st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class) ⊦ r0 = jvmref, is_reftype(ty)

Rule argument

[speclemmaarg: , is_obj(str, r, st) ↔ class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ r ≠ jvmref ∧ r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_classtype(st[r -- _type] .type) ∧ (r -- _type) × st[r -- _type] ∈ st ∧ goodfieldsandtypes (r, instfields(st[r -- _type] .type .class), st) ,[st, r, str] → [st, r, str] ,F ,addfuns , ,is_obj-full-expand ]

Additional information

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