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Proof step 43 from proof bib-on-bits (previous step)

8 ≤ # int2bits(i) ⊦ b2i(i2b(bits2int(lastn(8, int2bits(i))))) = bits2int(lastn(8, int2bits(i))), ¬ i < ~128 ∧ ¬ 127 < i

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 44:
⊦ ~128 ≤ i ∧ i ≤ 127 → b2i(i2b(i)) = i
Proof step 45:
¬(~128 ≤ bits2int(lastn(8, int2bits(i))) ∧ bits2int(lastn(8, int2bits(i))) ≤ 127), 8 ≤ # int2bits(i) ⊦ b2i(i2b(bits2int(lastn(8, int2bits(i))))) = bits2int(lastn(8, int2bits(i))), ¬ i < ~128 ∧ ¬ 127 < i

Rule argument

name: bib-in-01 rotate: F subst: [i] → [bits2int(lastn(8, int2bits(i)))]

Additional information

Used terms: bits2int(lastn(8, int2bits(i)))