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Proof step 15 from proof putarray-add-butlast (previous step)

⊦ (addarray(r, vals, 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(# vals) + 1)])[r -- n→i(# vals) ', initial_value(ty)]) = (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 6:
⊦ addarray(r, ty, vals, st) = addarray(r, vals, 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(# vals))])
Proof step 14:
⊦ (addarray(r, vals, 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(# vals) + 1)])[r -- n→i(# vals) ', initial_value(ty)]) = (addarray(r, vals, 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(# vals))])[r -- n→i(# vals) ', initial_value(ty)] [r -- _length, intval(n→i(# vals) + 1) ] )

Rule argument

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

Additional information

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