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Proof step 19 from proof validrefnotnull-union-at-right (previous step)

st0[r -- _type] .type = mkclasstype(class0), is_typevalue(st0[r -- _type]), r -- _type ∈ st0, class0 ≤ class, mkfs(class1, ty, fieldvar) ' ∈ instfields(class), r ∈ st0, class+∃(str, class0), is_obj(r, class0, st0) ⊦ r = jvmref, st[r -- mkfs(class1, ty, fieldvar) '] = noval, is_abstract(class0), r -- mkfs(class1, ty, fieldvar) ' ∈ st0, (is_reftype(ty) ∨ ty = abstract_type) ∧ noval .refval ≠ jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ is_obj(r, class, st) ↔ r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class)) ∈ st ∧ goodfieldsandtypes(r, instfields(class), st)
Proof step 18:
st0[r -- _type] .type = mkclasstype(class0), is_typevalue(st0[r -- _type]), r -- _type ∈ st0, class0 ≤ class, mkfs(class1, ty, fieldvar) ' ∈ instfields(class), r ∈ st0, class+∃(str, class0), r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class0)) ∈ st0 ∧ goodfieldsandtypes(r, instfields(class0), st0) ⊦ r = jvmref, st[r -- mkfs(class1, ty, fieldvar) '] = noval, is_abstract(class0), r -- mkfs(class1, ty, fieldvar) ' ∈ st0, (is_reftype(ty) ∨ ty = abstract_type) ∧ noval .refval ≠ jvmref

Rule argument

[speclemmaarg: , is_obj(r, class, st) ↔ r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class)) ∈ st ∧ goodfieldsandtypes(r, instfields(class), st) ,[st, class, r] → [st0, class0, r] ,F ,addfuns , ,is_obj-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st0, class0, r)]]