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Proof step 22 from proof int2bits-len-mon (previous step)

0 ≤ i, j < i, i + j < 0, # uint2bits(~(j + 1)) < # uint2bits(i), j < 0 ⊦ j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

name: uint2bits-len-mon-02 rotate: F subst: [i, j] → [i, ~(j + 1)]

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false);% ⊦ i ≤ ~ j ↔ i + j ≤ 0;% ⊦ i + (* j) ≤ (* j0) ↔ i ≤ j0 - j;% ⊦ i ≤ ~1 ↔ i < 0;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i < j → (¬ ¬ j ≤ i ↔ false); Used terms: i, ~(j + 1)