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Proof step 23 from proof add-lastrec (previous step)

# vals = m + 1 ⊦ vals = [], addarray(r, vals, 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(m) + 1)]) = (addarray(r, ty, vals .butlast, st)[r -- n→i(m) ', vals .last][r -- _length, intval(n→i(m) + 1)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ addarray(r, ty, vals, st) = addarray(r, vals, 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(# vals))])
Proof step 22:
# vals = m + 1 ⊦ vals = [], addarray(r, vals, 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(m) + 1)]) = (addarray(r, vals .butlast, 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(# vals .butlast))])[r -- n→i(m) ', vals .last] [r -- _length, intval(n→i(m) + 1) ] )

Rule argument

[crewrite-arg: addarrayinit-def , F , [st, vals, ty, r] → [st, vals .butlast, ty, r] ]

Additional information

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