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Proof step 16 from proof junkref-subspec-samesubclasses (previous step)

st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), junkrefs(str, r0 ' + refs1, st[r0 -- _type] .type, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_obj(str0, r, st), is_obj(str, r, st), same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0), ∀ str0, str, r1, st0, refs. # refs < # (r0 + refs1) → ( same-subclasses-contains(st0[r1 -- _type] .type .jtelemtype .class, str, str0) ∧ junkrefs(str, r1 ' + refs, st0[r1 -- _type] .type, st0) → junkref(str0, r1, st0)) ⊦ r = jvmref, junkref(str0, r, st), same-subclasses-contains(st[r0 -- _type] .type .jtelemtype .class, str, str0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ is_obj(str, r, st) ∧ same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0) ∧ r0 ≠ jvmref ∧ st[r -- mkfs(class, ty, fieldvar) '] = refval(r0) ∧ mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class) ∧ ¬ junkref(str0, r, st) ∧ has_classtype(st[r0 -- _type] .type) → same-subclasses-contains(st[r0 -- _type] .type .jtelemtype .class, str, str0)
Proof step 15:
¬ ( is_obj(str, r, st) ∧ same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0) ∧ r0 ≠ jvmref ∧ st[r -- mkfs(class, ty, fieldvar) '] = refval(r0) ∧ mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class) ∧ ¬ junkref(str0, r, st) ∧ has_classtype(st[r0 -- _type] .type)), st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), junkrefs(str, r0 ' + refs1, st[r0 -- _type] .type, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_obj(str0, r, st), is_obj(str, r, st), same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0), ∀ str0, str, r1, st0, refs. # refs < # (r0 + refs1) → ( same-subclasses-contains(st0[r1 -- _type] .type .jtelemtype .class, str, str0) ∧ junkrefs(str, r1 ' + refs, st0[r1 -- _type] .type, st0) → junkref(str0, r1, st0)) ⊦ r = jvmref, junkref(str0, r, st), same-subclasses-contains(st[r0 -- _type] .type .jtelemtype .class, str, str0)

Rule argument

[crewrite-arg: same-subclasses-class-forward , F , [str, r, st, str0, r0, class, ty, fieldvar] → [str, r, st, str0, r0, class, ty, fieldvar] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (str, r, st, str0, r0, class, ty, fieldvar)]]