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Proof step 20 from proof cyclic-def-simple (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
validrefs(str, r ' + refs1, mkclasstype(`java.lang.Object' .class), st), is_array(str, r, st) ⊦ r = jvmref, ¬ r ∈ refs1 ∧ ¬ dups(refs1), ∃ refs0. dups(refs0) ∧ refs0 .first = r ∧ validrefs(str, refs0, st[refs0 .first -- _type] .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_array(str, r, st) → ¬ is_obj(str, r, st)], [CSIMPSEQ : ⊦ is_array(str, r, st) → ( st[r -- _type] .type ≤ mkclasstype(class) ↔ class = `java.lang.Object' .class)], [CSIMPSEQ : ⊦ ¬ is_obj(str, r, st) → ( is_valid_ref(str, r, st) ↔ is_array(str, r, st))])]]