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Proof step 6 from proof cast-mod-ls-pos (previous step)

¬(# int2bits(j) ≤ i→n(i) ∧ int2bits(j) ≠ []), 0 ≤ j, j < 2 ^ (i - 1), 0 < i ⊦ bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(j)))) = j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
i→n(i) < # int2bits(j), 0 < i, j < 2 ^ (i - 1), 0 ≤ j ⊦ bits2int(lastn(i→n(i), int2bits(j))) = j

Rule argument

Additional information

Used simplifier rules: ⊦ # bits = 0 ↔ bits = [];% ⊦ m < n → n ≠ 0; (forward)% ⊦ n < # bits → lastn(n, fillsgn(n, bits)) = lastn(n, bits);% ⊦ int2bits(j) ≠ [];% ⊦ ¬ m ≤ n ↔ n < m;