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Proof step 88 from proof validref-refs-last-valid-subset (previous step)

st0[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r2), acc + r1 ' = r2 ' + refs, is_obj(str, r0, st0), validrefs(str, r2 ' + refs, ty0, st0), mkfs(class, ty0, fieldvar) ' ∈ instfields(st0[r0 -- _type] .type .class), st0[r0 -- _type] .type ≤ ty, st ⊆ st0, validref(str, r0, noval .type, st), ∀ str, r, st, st0, r1, ty. validref(str, r, st[r -- _type] .type, st) ∧ st ⊆ st0 ∧ r ∈ acc ∧ validrefs(str, acc + r1 ', ty, st0) → validref(str, r1, st[r1 -- _type] .type, st) ⊦ r0 = jvmref, r0 -- _type ∈ st, validref(str, r1, st[r1 -- _type] .type, st), ¬ r2 ∈ acc ∧ r2 ≠ r1, r1 ≠ r2 ∧ ¬ r1 ∈ refs

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty) → ¬ validref(str, r, ty, st) ,[st, ty, r, str] → [st, noval .type, r0, str] ,F ,junkrefs , ,validref-is-junk ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ r -- _type ∈ st → ¬ is_valid_ref(str, r, st)])], [EXTRATERMS : (st, noval .type, r0, str)]]