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Proof step 41 from proof cyclic-addarray-this-01 (previous step)

∃ refs. dups(refs) ∧ refs .first = r ∧ validrefs(str, refs, (addarray(r, ty, vals, st)[r -- _type]) .type, addarray(r, ty, vals, st)), newref(r, st), ∀ r. refval(r) ∈ vals → ¬ junkref(str, r, st) ∧ ¬ cyclic(str, r, st) ⊦ r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 40:
newref(refs .first, st), dups(refs), validrefs(str, refs, mkarraytype(ty), addarray(refs .first, ty, vals, st)), ∀ r. refval(r) ∈ vals → ¬ junkref(str, r, st) ∧ ¬ cyclic(str, r, st) ⊦ refs .first = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ newref(r, st) → r ≠ jvmref], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ (addarray(r, ty, vals, st) [r -- _type ] ) = typeval(mkarraytype(ty))])]]