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Proof step 83 from proof byte-law-righthift-not (previous step)

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

User applied rule cut formula

And obtained the following new goals

Proof step 84:
n0 = n + 1, 32 = n0 + # int2bits(~128), 32 = n + # int2bits(128), i2b(bits2uint(firstn(31, mklist(false, n) + int2bits(128)))) = i2b(bits2uint(firstn(31, mklist(true, n0) + int2bits(~128)))), # int2bits(128) ≤ 32, # int2bits(~128) ≤ 32 ⊦
Proof step 138:
32 = n0 + # int2bits(~128), 32 = n + # int2bits(128), i2b(bits2uint(firstn(31, mklist(false, n) + int2bits(128)))) = i2b(bits2uint(firstn(31, mklist(true, n0) + int2bits(~128)))), # int2bits(128) ≤ 32, # int2bits(~128) ≤ 32 ⊦ n0 = n + 1

Rule argument

fma: n0 = n + 1

Additional information

Used formulas: n0 = n + 1