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Proof step 16 from proof cyclic-put-statfield (previous step)

∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, (st[jvmref -- sk, val][r -- _type]) .type, st[jvmref -- sk, val]) ⊦ cyclic(str, r, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ validrefs(str, refs, ty, st[jvmref -- sk, val]) ↔ validrefs(str, refs, ty, st)
Proof step 15:
dups(refs), validrefs(str, refs, (st[jvmref -- sk, val][refs .first -- _type]) .type, st) ⊦ cyclic(str, refs .first, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]