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Proof step 23 from proof validrefnotnull-union-at-right (previous step)

st0[r -- _type] .type = mkclasstype(class0), class0 ≤ class, mkfs(class1, ty, fieldvar) ' ∈ instfields(class), is_obj(str, r, st0) ⊦ st[r -- mkfs(class1, ty, fieldvar) '] = noval, r = jvmref, 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 12:
⊦ is_obj(str, r, st) ↔ class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, st)
Proof step 22:
st0[r -- _type] .type = mkclasstype(class0), class0 ≤ class, mkfs(class1, ty, fieldvar) ' ∈ instfields(class), class+∃(str, st0[r -- _type] .type .class) ∧ ¬ is_abstract(st0[r -- _type] .type .class) ∧ is_obj(r, st0) ⊦ st[r -- mkfs(class1, ty, fieldvar) '] = noval, r = jvmref, r -- mkfs(class1, ty, fieldvar) ' ∈ st0, (is_reftype(ty) ∨ ty = abstract_type) ∧ noval .refval ≠ jvmref

Rule argument

[speclemmaarg: , is_obj(str, r, st) ↔ class+∃(str, st[r -- _type] .type .class) ∧ ¬ is_abstract(st[r -- _type] .type .class) ∧ is_obj(r, st) ,[st, r, str] → [st0, r, str] ,F ,addfuns , ,is-real-object-def ]

Additional information

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