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Proof step 64 from proof pathex-put-cyclic (previous step)

st[r -- _type] .type = mkclasstype(class0), path∃(str, r0, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), st[r0 -- _type] .type ≤ ty ⊦ r0 = jvmref, r = jvmref, cyclic(str, r, st[r -- mkfs(class, ty, fieldvar) ', refval(r0)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ cyclic(str, r, st) ↔ (∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, st[r -- _type] .type, st))
Proof step 63:
st[r -- _type] .type = mkclasstype(class0), path∃(str, r0, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), st[r0 -- _type] .type ≤ ty ⊦ r0 = jvmref, r = jvmref, ∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, (st[r -- mkfs(class, ty, fieldvar) ', refval(r0)][r -- _type]) .type, st[r -- mkfs(class, ty, fieldvar) ', refval(r0)])

Rule argument

[crewrite-arg: cyclic-def-simple , F , [st, r, str] → [st[r -- mkfs(class, ty, fieldvar) ', refval(r0)], r, str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- mkfs(class, ty, fieldvar) ', refval(r0)], r, str)]]