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Proof step 20 from proof add-lastrec (previous step)

vals = vals0 + val ', # vals = m + 1 ⊦ vals = [], addarray(r, vals, 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(m) + 1)]) = (addarray(r, vals0, 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(m))])[r -- n→i(m) ', val][r -- _length, intval(n→i(m) + 1)] )

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
⊦ addarray(r, vals0 + val ', 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(# vals0) + 1)]) = (addarray(r, vals0, 0, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(# vals0))])[r -- n→i(# vals0) ', val] [r -- _length, intval(n→i(# vals0) + 1) ] )

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ vals + val ' ≠ []], [CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ m + n = m + n0 ↔ n = n0], [CSIMPSEQ : ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1], [CSIMPSEQ : ⊦ # val ' = 0 +1], [CSIMPSEQ : ⊦ # (vals + vals0) = # vals + # vals0])]]