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Proof step 18 from proof bib-on-bits (previous step)

# int2bits(i) ≤ 8, ~128 ≤ i, i ≤ 127 ⊦ i = bits2int(lastn(8, mklist(¬ 0 ≤ i, 8 - # int2bits(i)) + int2bits(i)))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ n = # bits → lastn(n, bits) = bits subst: [bits, n] → [mklist(¬ 0 ≤ i, 8 - # int2bits(i)) + int2bits(i), 8] rotate: F spec: list-del inst: bitlista name: lastN-all

Additional information

Used simplifier rules: ⊦ m + n = n + m;% ⊦ #(bits + bits0) = # bits + # bits0;% ⊦ # mklist(boolvar, n) = n;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ m ≤ n → (n < m ↔ false);% ⊦ ¬ m ≤ n ↔ n < m;%n ≤ m ⊦ (m - n) + n0 = n1 ↔ m + n0 = n + n1;% ⊦ (m + n0) + n1 = m + n0 + n1; Used terms: mklist(¬ 0 ≤ i, 8 - # int2bits(i)) + int2bits(i), 8