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Proof step 37 from proof cyclic-addarray-this-01 (previous step)

¬ (r0 ≠ jvmref ∧ (¬ is_valid_ref(str, r0, addarray(r0, ty, vals, st)) ∨ ¬ (addarray(r0, ty, vals, st)[r0 -- _type]) .type ≤ mkarraytype(ty))), newref(r0, st), validrefs(str, r0 ' + refs0, mkarraytype(ty), addarray(r0, ty, vals, st)), ∀ r. refval(r) ∈ vals → ¬ junkref(str, r, st) ∧ ¬ cyclic(str, r, st) ⊦ r0 = jvmref, ¬ r0 ∈ refs0 ∧ ¬ dups(refs0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 36:
newref(r0, st), validrefs(str, r0 ' + refs0, mkarraytype(ty), addarray(r0, ty, vals, st)), is_valid_ref(str, r0, addarray(r0, ty, vals, st)), ∀ r. refval(r) ∈ vals → ¬ junkref(str, r, st) ∧ ¬ cyclic(str, r, st) ⊦ r0 = jvmref, ¬ r0 ∈ 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, vals, st) [r -- _type ] ) = typeval(mkarraytype(ty))])]]