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Proof step 15 from proof bib-neg-low (previous step)

# int2bits(j) = 9, j < 0, ~256 < j, j < ~128 ⊦ b2i(i2b(bits2int(lastn(8, int2bits(j))))) = 256 + j

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 16:
⊦ # bits = n + 1 → lastn(n, bits) = bits.rest
Proof step 17:
# int2bits(j) = 8 + 1, # int2bits(j) = 9, j < 0, ~256 < j, j < ~128 ⊦ b2i(i2b(bits2int(int2bits(j).rest))) = 256 + j

Rule argument

seq: ⊦ # bits = n + 1 → lastn(n, bits) = bits.rest subst: [bits, n] → [int2bits(j), 8] rotate: F spec: list-del inst: bitlista name: lastN-rest-01

Additional information

Used terms: int2bits(j), 8