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Proof step 19 from proof cast-mod-ls-most (previous step)

i→n(i) ≤ 1 + (i→n(i) - 1), 1 < i, 0 < i ⊦ 2 ^ (i - 1) + ~ bits2uint(bitsinvert(true + mklist(false, i→n(i) - 1)) +1) = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
i→n(i) ≤ 1 + (i→n(i) - 1), 1 < i, 0 < i ⊦ 2 ^ (i - 1) = 2 ^ n→i(i→n(i) - 1)

Rule argument

Additional information

Used simplifier rules: ⊦ i + 0 = i;% ⊦ i - j = i0 ↔ i = i0 + j;% ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + ~ j = i - j;% ⊦ bits2uint(true ' + mklist(false, n)) = 2 ^ n→i(n);% ⊦ (false ' + mklist(true, n))+1 = true ' + mklist(false, n);% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ bitsinvert(mklist(boolvar, n)) = mklist(¬ boolvar, n);% ⊦ bitsinvert(true ' + bits) = false + bitsinvert(bits);% ⊦ boolvar + bits = boolvar ' + bits;