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Proof step 98 from proof byte-law-righthift-not (previous step)

i2b(bits2uint(mklist(false, n) + 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

Proof step 99:
⊦ bits2uint(mklist(false, n) + bits) = bits2uint(bits)
Proof step 100:
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 ⊦

Rule argument

seq: ⊦ bits2uint(mklist(false, n) + bits) = bits2uint(bits) subst: [bits, n] → [firstn(# int2bits(~128), int2bits(128)), n] rotate: F spec: int2bits inst: name: bits2uint-mklist

Additional information

Used terms: firstn(# int2bits(~128), int2bits(128)), n