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Proof step 4 from proof uint2bits-2pot-06 (previous step)

0 ≤ i, j < 0, j < i ⊦ uint2bits(~ j * 2 ^ i) = uint2bits(~ j) + mklist(false, i→n(i))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
0 ≤ i, 0 < j ⊦ uint2bits(j * 2 ^ i) = uint2bits(j) + mklist(false, i→n(i))

Rule argument

name: uint2bits-2pot-01 rotate: F subst: [i, j] → [i, ~ j]

Additional information

Used simplifier rules: ⊦ ~ i * j = ~(i * j);% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false);% ⊦ 0 < ~ i ↔ i < 0;% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false); Used terms: i, ~ j