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Proof step 45 from proof bor-2pot-plus (previous step)

0 ≤ n→i(# bits) ∧ 0 ≤ i, # int2bits(j0) = i→n(i) + 1, int2bits(j0) = false ' + bits, 0 < i, j0 < 2 ^ i, 0 < j, 0 ≤ j, 0 < 2 ^ i, 0 ≤ j0, i→n(i) ≤ # bits, false ∈ int2bits(j0) ⊦ bits = [], i = 0, bitsinvert(uint2bits(j)) + mklist(true, i→n(i)) = [], n→i(# bits) = i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 46:
# int2bits(j0) = i→n(i) + 1, int2bits(j0) = false ' + bits, j0 < 2 ^ i, 0 < j, 0 ≤ j, 0 < 2 ^ i, 0 ≤ j0, i→n(i) ≤ # bits, false ∈ int2bits(j0), 0 < i ⊦ bits = [], i = 0, bitsinvert(uint2bits(j)) + mklist(true, i→n(i)) = [], n→i(# bits) = i

Rule argument

Additional information

Used simplifier rules: ⊦ i ≠ j → (i ≤ j ↔ i < j);% ⊦ 0 ≤ n→i(n);