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Proof step 54 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, junkref(str0, r, st), contains(str0, mkclasstype(st[r -- _type] .type .jtelemtype .class), st[r0 -- _type] .type .jtelemtype), same-subclasses(st[r0 -- _type] .type .jtelemtype .class, str, str0) ∧ (contains(str0, st[r0 -- _type] .type .jtelemtype, mkclasstype(class0)) → same-subclasses(class0, str, str0))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ is_obj(r, st) → st[r -- _type] .type .jtelemtype = st[r -- _type] .type
Proof step 53:
is_obj(r, st), st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), is_obj(str, r, st), same-subclasses(st[r -- _type] .type .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 .class), mkclasstype(class0)) → same-subclasses(class0, str, str0) ⊦ r0 = jvmref, junkref(str0, r, st), contains(str0, mkclasstype(st[r -- _type] .type .class), st[r0 -- _type] .type .jtelemtype), same-subclasses(st[r0 -- _type] .type .jtelemtype .class, str, str0) ∧ (contains(str0, st[r0 -- _type] .type .jtelemtype, mkclasstype(class0)) → same-subclasses(class0, str, str0))

Rule argument

[speclemmaarg: , is_obj(r, st) → st[r -- _type] .type .jtelemtype = st[r -- _type] .type ,[r, st] → [r, st] ,F ,addfuns , ,isobj-type-08 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_obj(r, st) → ¬ is_obj(str, r, st)])], [EXTRATERMS : (r, st)]]