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Proof step 13 from proof cyclic-put-statfield-01 (previous step)

validrefs(str, r ' + refs0, st[r -- _type] .type, st) ⊦ ∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, (st[jvmref -- sk, val][r -- _type]) .type, st[jvmref -- sk, val]), ¬ r ∈ refs0 ∧ ¬ dups(refs0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ validrefs(str, refs, ty, st[jvmref -- sk, val]) ↔ validrefs(str, refs, ty, st)
Proof step 12:
validrefs(str, r ' + refs0, st[r -- _type] .type, st) ⊦ ¬ r ∈ refs0 ∧ ¬ dups(refs0), ∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, (st[jvmref -- sk, val][refs .first -- _type]) .type, st)

Rule argument

[emptyarg]

Additional information

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