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Proof step 58 from proof junkrefs-put-null (previous step)

is_obj(r, st), is_reftype(ty0), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), junkrefs(str, r0 ' + acc, ty, st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)]), ∀ str, ty, st, r, fs. ¬ junkrefs(str, acc, ty, st) ∧ is_obj(r, st) ∧ is_reftype(fs .type) ∧ fs ' ∈ instfields(st[r -- _type] .type .class) → ¬ junkrefs(str, acc, ty, st[r -- fs ', refval(jvmref)]) ⊦ junkrefs(str, r0 ' + acc, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ r = jvmref → ¬ junkrefs(str, r ' + refs, ty, st)
Proof step 57:
r0 ≠ jvmref, is_obj(r, st), is_reftype(ty0), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), junkrefs(str, r0 ' + acc, ty, st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)]), ∀ str, ty, st, r, fs. ¬ junkrefs(str, acc, ty, st) ∧ is_obj(r, st) ∧ is_reftype(fs .type) ∧ fs ' ∈ instfields(st[r -- _type] .type .class) → ¬ junkrefs(str, acc, ty, st[r -- fs ', refval(jvmref)]) ⊦ junkrefs(str, r0 ' + acc, ty, st)

Rule argument

[crewrite-arg: junkrefs-null , F , [st, ty, refs, r, str] → [st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)], ty, acc, r0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)], ty, acc, r0, str)]]