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Proof step 13 from proof int2bits-len-mon (previous step)

0 ≤ j, 0 ≤ i, # uint2bits(j) < # uint2bits(i), i < j, 0 < j ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ 0 ≤ i ∧ i ≤ j → ¬ # uint2bits(j) < # uint2bits(i)

Rule argument

name: uint2bits-len-mon-02 rotate: F subst: [i, j] → [i, j]

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false);% ⊦ i < j → ¬ j < i; Used terms: i, j