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Proof step 88 from proof byte-law-righthift-not (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 89:
31 = n0 + n, i2b(bits2uint(mklist(false, n) + firstn(n0, int2bits(128)))) = i2b(bits2uint(firstn(31, (mklist(true, n) + true ') + int2bits(~128)))), 32 = n + # int2bits(128), 31 = n + # int2bits(~128), n ≤ 32, n ≤ 31, # int2bits(~128) ≤ 32, # int2bits(128) ≤ 32 ⊦

Rule argument

seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [31, n, n0] rotate: T spec: nat inst: name: elim-sub

Additional information

Used simplifier rules: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: 31, n, n0