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Proof step 22 from proof cyclic-def-object (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
is_obj(str, r, st), refs1 = [] ∨ fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ refs1 .first = st[r -- fs '] .refval ∧ validrefs(str, refs1, fs .type, st) ⊦ r = jvmref, validrefs(str, r ' + refs1, mkclasstype(`java.lang.Object' .class), st), ¬ r ∈ refs1 ∧ ¬ dups(refs1)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ty ≤ ty])]]