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Proof step 17 from proof intshiftrsign-if (previous step)

i→n(band(j, 31)) < # int2bits(i) ⊦ bits2int(mklist(¬ 0 ≤ i, i→n(band(j, 31))) + sublist(0, # int2bits(i) - i→n(band(j, 31)), int2bits(i))) = bits2int(sublist(0, # int2bits(i) - i→n(band(j, 31)), int2bits(i)))

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] → [# int2bits(i), i→n(band(j, 31)), n] rotate: T spec: nat inst: name: elim-sub

Additional information

Used simplifier rules: ⊦ ¬ m ≤ n ↔ n < m;% ⊦ m < n → ¬ n < m;%n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: # int2bits(i), i→n(band(j, 31)), n