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Proof step 14 from proof bits2int-range (previous step)

2 ^ n→i(# bits0) ≤ bits2uint(bitsinvert(bits0)) ⊦

User applied rule insert lemma

And obtained the following new goals

Proof step 15:
⊦ ¬ 2 ^ n→i(# bits) ≤ bits2uint(bits)

Rule argument

name: bits2uint-nle subst: [bits] → [bitsinvert(bits0)]

Additional information

Used simplifier rules: ⊦ # bitsinvert(bits) = # bits;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i ≤ j → (¬ ¬ j < i ↔ false); Used terms: bitsinvert(bits0)