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Proof step 16 from proof addarray-mode (previous step)

_mode ∈ addarray(r, ty, vals, st), ∀ st, ty, r, vals0. # vals0 < # vals → (_mode ∈ addarray(r, ty, vals0, st) → r = jvmref ∨ _mode ∈ st) ⊦ vals = [], r = jvmref, _mode ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ vals ≠ [] → addarray(r, ty, vals, st) = (addarray(r, ty, vals .butlast, st)[r -- n→i((# vals) -1) ', vals .last][r -- _length, intval(n→i(# vals))])
Proof step 15:
vals ≠ [], _mode ∈ (addarray(r, ty, vals .butlast, st)[r -- n→i((# vals) -1) ', vals .last][r -- _length, intval(n→i(# vals))]), ∀ st, ty, r, vals0. # vals0 < # vals → (_mode ∈ addarray(r, ty, vals0, st) → r = jvmref ∨ _mode ∈ st) ⊦ vals = [], r = jvmref, _mode ∈ st

Rule argument

[crewrite-arg: add-lastrec, F, [st, vals, ty, r] → [st, vals, ty, r]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, vals, ty, r)]]