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Proof step 23 from proof validrefs-del-junkrefs (previous step)

is_obj(str, r0, st), junkrefs(str, r0 ' + r ', ty, st -- r), st[r0 -- _type] .type ≤ ty ⊦ r0 = jvmref, r = r0, validrefs(str, r0 ' + r ', ty, st), junkref(str, r0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ is_obj(str, r, st) ∧ st[r -- _type] .type ≤ ty → ( validrefs(str, r ' + refs, ty, st) ↔ refs = [] ∨ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ refs .first = st[r -- fs '] .refval ∧ validrefs(str, refs, fs .type, st)))
Proof step 22:
is_obj(str, r0, st) ∧ st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), junkrefs(str, r0 ' + r ', ty, st -- r), st[r0 -- _type] .type ≤ ty ⊦ r0 = jvmref, r = r0, r ' = [] ∨ (∃ fs. fs ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs ']) ∧ r ' .first = st[r0 -- fs '] .refval ∧ validrefs(str, r ', fs .type, st)), junkref(str, r0, st)

Rule argument

[crewrite-arg: validrefs-class , F , [st, ty, refs, r, str] → [st, ty, r ', r0, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, r ', r0, str)]]