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Proof step 42 from proof junkrefs-put-norefval-01 (previous step)

junkrefs(str, r ' + acc, ty, st[r1 -- mkfs(class, ty0, fieldvar) ', val]), okval(val, ty0), is_valid_ref(str, r, st), st[r -- _type] .type ≤ ty, ∀ val, ty0, str, ty, st, r1, class, fieldvar. okval(val, ty0) ∧ junkrefs(str, acc, ty, st[r1 -- mkfs(class, ty0, fieldvar) ', val]) → ty0 = void_type ∨ mkfs(class, ty0, fieldvar) ' = _length ∨ is_referencevalue(val) ∨ junkrefs(str, acc, ty, st) ⊦ r = jvmref, mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, junkrefs(str, r ' + acc, ty, st), is_referencevalue(val)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ is_valid_ref(str, r, st) ↔ is_obj(str, r, st) ∨ is_array(str, r, st)
Proof step 41:
junkrefs(str, r ' + acc, ty, st[r1 -- mkfs(class, ty0, fieldvar) ', val]), okval(val, ty0), is_obj(str, r, st) ∨ is_array(str, r, st), st[r -- _type] .type ≤ ty, ∀ val, ty0, str, ty, st, r1, class, fieldvar. okval(val, ty0) ∧ junkrefs(str, acc, ty, st[r1 -- mkfs(class, ty0, fieldvar) ', val]) → ty0 = void_type ∨ mkfs(class, ty0, fieldvar) ' = _length ∨ is_referencevalue(val) ∨ junkrefs(str, acc, ty, st) ⊦ r = jvmref, mkfs(class, ty0, fieldvar) ' = _length, ty0 = void_type, junkrefs(str, r ' + acc, ty, st), is_referencevalue(val)

Rule argument

[speclemmaarg: ,is_valid_ref(str, r, st) ↔ is_obj(str, r, st) ∨ is_array(str, r, st) ,[st, r, str] → [st, r, str] ,F ,addfuns , ,is-valid-ref-stronger-def ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r, str)]]