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Proof step 14 from proof add-lastrec (previous step)

is_fskey(_length) ⊦ (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) ] )

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
⊦ (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 -- n→i(# vals0) ', val][r -- _length, intval(n→i(# vals0) + 1)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(_length)], [CSIMPSEQ : ⊦ (st[rk, val][rk0, val0][rk, val1] ) = (st[rk0, val0][rk, val1])])]]