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Proof step 59 from proof same-subclasses-class-forward (previous step)

st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), is_obj(str, r, st), same-subclasses(st[r -- _type] .type .jtelemtype .class, str, str0), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), has_classtype(st[r0 -- _type] .type), ∀ class0. contains(str0, mkclasstype(st[r -- _type] .type .jtelemtype .class), mkclasstype(class0)) → same-subclasses(class0, str, str0) ⊦ r0 = jvmref, same-subclasses-contains(st[r0 -- _type] .type .jtelemtype .class, str, str0), junkref(str0, r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ same-subclasses-contains(class, str, str0) ↔ same-subclasses(class, str, str0) ∧ (∀ class0. contains(str0, mkclasstype(class), mkclasstype(class0)) → same-subclasses(class0, str, str0))
Proof step 58:
st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), is_obj(str, r, st), same-subclasses(st[r -- _type] .type .jtelemtype .class, str, str0), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), has_classtype(st[r0 -- _type] .type), ∀ class0. contains(str0, mkclasstype(st[r -- _type] .type .jtelemtype .class), mkclasstype(class0)) → same-subclasses(class0, str, str0) ⊦ r0 = jvmref, same-subclasses(st[r0 -- _type] .type .jtelemtype .class, str, str0) ∧ (∀ class0. contains(str0, mkclasstype(st[r0 -- _type] .type .jtelemtype .class), mkclasstype(class0)) → same-subclasses(class0, str, str0)), junkref(str0, r, st)

Rule argument

[crewrite-arg: same-subclasses-all-def , F , [str0, str, class] → [str0, str, st[r0 -- _type] .type .jtelemtype .class] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str0, str, st[r0 -- _type] .type .jtelemtype .class)]]