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Proof step 40 from proof validrefs-subset-equiv (previous step)

is_obj(str, r, st0), st ⊆ st0, is_valid_ref(str, r, st), st0[r -- _type] .type ≤ ty, refs = [] ∨ mkfs(class, ty0, fieldvar) ' ∈ instfields(st0[r -- _type] .type .class) ∧ is_referencevalue(st0[r -- mkfs(class, ty0, fieldvar) ']) ∧ refs .first = st0[r -- mkfs(class, ty0, fieldvar) '] .refval ∧ validrefs(str, refs, ty0, st0), ∀ st, st0, ty, r, str, refs0. # refs0 < # refs → (validrefs(str, r ' + refs0, ty, st0) ∧ st ⊆ st0 ∧ validref(str, r, st[r -- _type] .type, st) → validrefs(str, r ' + refs0, ty, st)) ⊦ r = jvmref, junkref(str, r, st), validrefs(str, r ' + refs, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

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

Additional information

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