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Proof step 27 from proof cyclic-def-object (previous step)

is_obj(str, r, st), validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ validrefs(str, r ' + refs1, mkclasstype(`java.lang.Object' .class), st), ¬ r ∈ refs1 ∧ ¬ dups(refs1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ r = jvmref → (validrefs(str, r ' + refs, ty, st) ↔ refs = [])
Proof step 26:
r ≠ jvmref, is_obj(str, r, st), validrefs(str, r ' + refs1, st[r -- _type] .type, st) ⊦ validrefs(str, r ' + refs1, mkclasstype(`java.lang.Object' .class), st), ¬ r ∈ refs1 ∧ ¬ dups(refs1)

Rule argument

[crewrite-arg: validrefs-null , F , [st, ty, refs, r, str] → [st, st[r -- _type] .type, refs1, r, str] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_obj(str, jvmref, st)])], [EXTRATERMS : (st, st[r -- _type] .type, refs1, r, str)]]