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Proof step 8 from proof band-011x-is-unsigned-01 (previous step)

i ≤ n→i(1 + i→n(i) - 2), abs(j) ≤ 2 ^ n→i(1 + i→n(i) - 2), 0 < i, 2 ^ (i - 1) < abs(j) ⊦ band(j, 2 ^ i - 1) = bits2uint(fillsgn(i→n(i), int2bits(j))), 1 + i→n(i) - 2 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: 0 ≤ i ⊦ (* i) ≤ n→i(n) ↔ i→n(i) ≤ n subst: [n, i] → [1 + i→n(i) - 2, i] rotate: F spec: intnat inst: name: num-n2i-ls-06

Additional information

Used simplifier rules: ⊦ i < j → ¬ j < i;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ 1 ≤ i ↔ 0 < i;%0 ≤ i ⊦ (* m) ≤ i→n(i) ↔ n→i(m) ≤ i;% ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j;%n0 < n ⊦ (* n) ≤ m0 + (* n0) ↔ n - n0 ≤ m0;%n0 ≤ n ⊦ m ≤ n - n0 ↔ m + n0 ≤ n;%n0 < n ⊦ m + (* n) ≤ m0 + (* n0) ↔ m + (n - n0) ≤ m0;% ⊦ m + m0 ≤ m ↔ m0 = 0; Used terms: 1 + i→n(i) - 2, i