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Proof step 37 from proof bor-2pot-plus (previous step)

# int2bits(j0) = i→n(i) + 1, int2bits(j0) = boolvar ' + bits, 0 < i, j0 < 2 ^ i, 0 < j, 0 ≤ j, 0 < 2 ^ i, 0 ≤ j0, boolvar ∈ int2bits(j0), i→n(i) ≤ # bits ⊦ i = 0, bitsinvert(uint2bits(j)) + mklist(true, i→n(i)) = [], bits2uint(bits) + 2 ^ n→i(# bits) * j = j * 2 ^ i + j0, bits = []

User applied rule cut formula

And obtained the following new goals

Proof step 38:
# int2bits(j0) = i→n(i) + 1, int2bits(j0) = boolvar ' + bits, 0 < i, j0 < 2 ^ i, 0 < j, 0 ≤ j, 0 < 2 ^ i, 0 ≤ j0, boolvar ∈ int2bits(j0), i→n(i) ≤ # bits ⊦ boolvar, i = 0, bitsinvert(uint2bits(j)) + mklist(true, i→n(i)) = [], bits2uint(bits) + 2 ^ n→i(# bits) * j = j * 2 ^ i + j0, bits = []

Rule argument

fma: boolvar

Additional information

Used simplifier rules: ⊦ 0 ≤ j → int2bits(j) ≠ true ' + bits;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1; Used formulas: boolvar