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Proof step 103 from proof byte-law-righthift-not (previous step)

31 = # int2bits(~128) + n, 32 = n + # int2bits(128), 30 = n0 + n, i2b(bits2uint(firstn(# int2bits(~128), int2bits(128)))) = i2b(bits2uint(true ' + firstn(n0, int2bits(~128))) + 2 ^ (1 + n→i(n0)) * bits2uint(mklist(true, 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: i < 0 ⊦ int2bits((* i)) = sgn(bitsinvert(uint2bits(abs(i))) +1) subst: [i] → [~128] rotate: F spec: int2bits inst: name: int2bits-neg-num

Additional information

Used terms: ~128