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Proof step 22 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, 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) ] )

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
# 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(m))])[r -- n→i(m) ', vals .last] [r -- _length, intval(n→i(m) + 1) ] )

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ 0 + m = m], [CSIMPSEQ : ⊦ n ≤ m → m + n0 - n = (m - n) + n0], [CSIMPSEQ : ⊦ vals ≠ [] → # vals .butlast = # vals - 1])]]