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Proof step 49 from proof junkrefs-put-nopathexplus-equiv (previous step)

st[r -- mkfs(class, ty0, fieldvar) '] = refval(r1), path∃+(str, r1, r0, st), junkrefs(str, r1 ' + refs1, ty0, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), st[r -- _type] .type ≤ ty, ∀ val, sk, r0, st0, ty, r2, str, refs. # refs < # (r1 + refs1) → (junkrefs(str, r2 ' + refs, ty, st0) → junkrefs(str, r2 ' + refs, ty, st0[r0 -- sk, val]) ∨ sk = _type ∨ path∃+(str, r2, r0, st0)) ⊦ r = r0, r = jvmref, sk = _type, junkrefs(str, r1 ' + refs1, ty0, st[r0 -- sk, val]), ∃ refs. refs ≠ [] ∧ refs .first = r ∧ validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st) ∧ step∃(str, refs .last, r0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[crewrite-arg: pathex-plus-def , F , [st, r0, r, str] → [st, r0, r1, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r0, r1, str)]]