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Proof step 30 from proof bits2bytes-2pot (previous step)

# bits2bytes(true ' + mklist(false, 7 + 8 * m)) = m + 1 ⊦ # bits2bytes(firstn(8 + 8 * m, (true ' + mklist(false, 7 + 8 * m)) + false ' + false ')) = 1 + m

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ n < # bits → firstn(n, bits) = firstn(n, bits.butlast) subst: [bits, n] → [(true ' + mklist(false, 7 + 8 * m)) + false ' + false ', 8 + 8 * m] rotate: F spec: list-del inst: bitlista name: firstn-butlast-intro

Additional information

Used simplifier rules: ⊦ #(bits + bits0) = # bits + # bits0;% ⊦ # boolvar ' = 0 +1;% ⊦ # mklist(boolvar, n) = n;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ m + n < m + n0 ↔ n < n0;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m; Used terms: (true ' + mklist(false, 7 + 8 * m)) + false ' + false ', 8 + 8 * m