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Proof step 13 from proof cyclic-addarray-this (previous step)

¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str, r, addarray(r, ty, i, st)) ∨ ¬ (addarray(r, ty, i, st)[r -- _type]) .type ≤ mkarraytype(ty))), newref(r, st), validrefs(str, r ' + refs0, mkarraytype(ty), addarray(r, ty, i, st)) ⊦ r = jvmref, ¬ r ∈ refs0 ∧ ¬ dups(refs0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
newref(r, st), validrefs(str, r ' + refs0, mkarraytype(ty), addarray(r, ty, i, st)), is_valid_ref(str, r, addarray(r, ty, i, st)) ⊦ r = jvmref, ¬ r ∈ refs0 ∧ ¬ dups(refs0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ty ≤ ty], [CSIMPSEQ : ⊦ mkarraytype(ty) ≤ mkarraytype(ty0) ↔ ty ≤ ty0], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ (addarray(r, ty, i, st) [r -- _type ] ) = typeval(mkarraytype(ty))])]]