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Proof step 11 from proof cyclic-addobj-other-01 (previous step)

newref(r0, st), validrefs(str, r ' + refs0, st[r -- _type] .type, st) ⊦ r = r0, r0 = jvmref, junkref(str, r, st), ¬ r ∈ refs0 ∧ ¬ dups(refs0), dups(r ' + refs0) ∧ (r ' + refs0) .first = r ∧ validrefs(str, r ' + refs0, st[(r ' + refs0) .first -- _type] .type, addobj(r0, class, fis, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
newref(r0, st), validrefs(str, r ' + refs0, st[r -- _type] .type, st) ⊦ r = r0, r0 = jvmref, junkref(str, r, st), ¬ r ∈ refs0 ∧ ¬ dups(refs0), (dups(refs0) ∨ r ∈ refs0) ∧ validrefs(str, r ' + refs0, st[r -- _type] .type, addobj(r0, class, fis, st))

Rule argument

[emptyarg]

Additional information

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