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Proof step 22 from proof putarray-add-butlast (previous step)

⊦ putArray(vals, r, 0, addarray(r, ty, n→i(# vals) + 1, st)) = (addarray(r, ty, vals, st)[r -- n→i(# vals) ', initial_value(ty)][r -- _length, intval(n→i(# vals) + 1)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ addarray(r, ty, i, st) = addarray(r, initial_value(ty), i, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(i)])
Proof step 21:
⊦ putArray (vals, r, 0, addarray(r, initial_value(ty), n→i(# vals) + 1, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(# vals) + 1)])) = (addarray(r, ty, vals, st)[r -- n→i(# vals) ', initial_value(ty)][r -- _length, intval(n→i(# vals) + 1)])

Rule argument

[crewrite-arg: addarray-def , F , [st, i, ty, r] → [st, n→i(# vals) + 1, ty, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, n→i(# vals) + 1, ty, r)]]