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Proof step 31 from proof cyclic-def-object (previous step)

refs = r + refs1 ∧ refs ≠ [], dups(refs), validrefs(str, refs, st[r -- _type] .type, st), is_obj(str, r, st) ⊦ ∃ refs0. dups(refs0) ∧ refs0 .first = r ∧ validrefs(str, refs0, mkclasstype(`java.lang.Object' .class), st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 30:
is_obj(str, r, st), validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ ∃ refs0. dups(refs0) ∧ refs0 .first = r ∧ validrefs(str, refs0, mkclasstype(`java.lang.Object' .class), st), ¬ r ∈ refs1 ∧ ¬ dups(refs1)

Rule argument

[emptyarg]

Additional information

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