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Proof step 96 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(31 - n + 1, int2bits(~128)))), 31 = # int2bits(~128) + n, 32 = n + # int2bits(128), n ≤ 31, n ≤ 30, # int2bits(128) ≤ 32, # int2bits(~128) ≤ 32, n ≤ 32 ⊦

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [31, n + 1, n0] rotate: T spec: nat inst: name: elim-sub

Additional information

Used simplifier rules: n < n0 ⊦ m + (* n) ≤ (* n0) ↔ m ≤ n0 - n;% ⊦ ¬ m ≤ n ↔ n < m;% ⊦ m ≤ n → (n < m ↔ false);% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ m + n = n + m;%n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: 31, n + 1, n0