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Proof step 7 from proof uint2bits-truein (previous step)

2 ^ i + j = 0, 0 < j, 0 ≤ i ⊦ j = 0

User applied rule cut formula

And closed the goal!

Rule argument

fma: j = ~(2 ^ i)

Additional information

Used simplifier rules: ⊦ ~ i = j ↔ i + j = 0;% ⊦ ~ i + i = 0;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;% ⊦ ~ i = 0 ↔ i = 0;% ⊦ 0 ≤ j → 2 ^ j ≠ 0;% ⊦ 0 < ~ i ↔ i < 0;% ⊦ ¬ 2 ^ i < 0; Used formulas: j = ~(2 ^ i)