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Proof step 100 from proof byte-law-righthift-not (previous step)

i2b(bits2uint(firstn(# int2bits(~128), int2bits(128)))) = i2b(bits2uint(mklist(true, n) + true ' + firstn(n0, int2bits(~128)))), 31 = # int2bits(~128) + n, 32 = n + # int2bits(128), 30 = n0 + n, n ≤ 31, # int2bits(128) ≤ 32, # int2bits(~128) ≤ 32, n ≤ 32, n ≤ 30 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ # bits0 ≠ 0 → bits2uint(bits + bits0) = bits2uint(bits) * 2 ^ n→i(# bits0) + bits2uint(bits0) subst: [bits0, bits] → [true ' + firstn(n0, int2bits(~128)), mklist(true, n)] rotate: F spec: int2bits inst: name: bits2uint-split

Additional information

Used simplifier rules: ⊦ #(bits + bits0) = # bits + # bits0;% ⊦ # boolvar ' = 0 +1;% ⊦ # firstn(n, bits) = n;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ m + 1 ≠ 0;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m; Used terms: true ' + firstn(n0, int2bits(~128)), mklist(true, n)