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Proof step 7 from proof cyclic-addobj-other-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ r ∈ refs ∧ newref(r, st) → ¬ validrefs(str, refs, ty, st)

Rule argument

[crewrite-arg: validrefs-newref , F , [r, refs, st, str, ty] → [r0, r ' + refs0, st, str, st[r -- _type] .type] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ≠ r0 → (r ∈ r0 ' + refs ↔ r ∈ refs)])], [EXTRATERMS : (r0, r ' + refs0, st, str, st[r -- _type] .type)]]