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Proof step 5 from proof cyclic-one (previous step)

fs = mkfs(class, ty, fieldvar), st[r -- fs '] = refval(r), is_obj(str, r, st), fs ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty ⊦ validrefs(str, r ', ty, 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 4:
st[r -- mkfs(class, ty, fieldvar) '] = refval(r), is_obj(str, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty ⊦ validrefs(str, r ', ty, st), ∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, st[refs .first -- _type] .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]