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Proof step 15 from proof cyclic-addarray-this (previous step)

refs = r + refs0 ∧ refs ≠ [], newref(r, st), dups(refs), validrefs(str, refs, mkarraytype(ty), addarray(r, ty, i, st)) ⊦ r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
newref(r, st), validrefs(str, r ' + refs0, mkarraytype(ty), addarray(r, ty, i, st)) ⊦ r = jvmref, ¬ r ∈ refs0 ∧ ¬ dups(refs0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ newref(r, st) → r ≠ jvmref], [CSIMPSEQ : ⊦ dups(r ' + refs) ↔ ¬ ¬ (r ∈ refs ∨ dups(refs))], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]