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Proof step 18 from proof fits-in (previous step)

st[r -- sk] = refval(r1), st[r -- _type] .type = mkclasstype(class), sk ∈ instfields(class), fits(r1, sks0, st), r -- sk ∈ st, r ∈ st, is_obj(str, r, st), junkref(str, r1, st), ∀ str0, r0, st0. ¬ junkref(str0, r0, st0) ∧ fits(r0, sks0, st0) → r0 -- sks0 ∈ st0 ⊦ sks0 = [], r = jvmref, junkref(str, r, st), r1 -- sks0 ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ is_obj(str, r, st) → ( junkref(str, r, st) ↔ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ st[r -- fs '] .refval ≠ jvmref ∧ (¬ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r -- fs '] .refval, st))))
Proof step 17:
is_obj(str, r, st), st[r -- sk] = refval(r1), st[r -- _type] .type = mkclasstype(class), sk ∈ instfields(class), fits(r1, sks0, st), r -- sk ∈ st, r ∈ st, is_obj(str, r, st), junkref(str, r1, st), ∀ str0, r0, st0. ¬ junkref(str0, r0, st0) ∧ fits(r0, sks0, st0) → r0 -- sks0 ∈ st0 ⊦ sks0 = [], r = jvmref, ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ st[r -- fs '] .refval ≠ jvmref ∧ (¬ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r -- fs '] .refval, st)), r1 -- sks0 ∈ st

Rule argument

[speclemmaarg: , is_obj(str, r, st) → ( junkref(str, r, st) ↔ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ st[r -- fs '] .refval ≠ jvmref ∧ ( ¬ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r -- fs '] .refval, st)))) ,[st, r, str] → [st, r, str] ,F ,junkrefs , ,junkref-class ]

Additional information

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