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Proof step 11 from proof cyclic-one (previous step)

st[r -- fs '] = refval(r), st[r -- _type] .type ≤ fs .type, fs ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st) ⊦ dups(r ' + r ') ∧ (r ' + r ') .first = r ∧ validrefs(str, r ' + r ', st[(r ' + r ') .first -- _type] .type, st), ∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, st[refs .first -- _type] .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
st[r -- fs '] = refval(r), st[r -- _type] .type ≤ fs .type, fs ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st) ⊦ validrefs(str, r ' + r ', st[r -- _type] .type, st), ∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, st[refs .first -- _type] .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (r ' + refs) .first = r], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ∈ r0 ' ↔ r = r0], [CSIMPSEQ : ⊦ ¬ dups(r ')], [CSIMPSEQ : ⊦ dups(r ' + refs) ↔ dups(refs) ∨ r ∈ refs])]]