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Proof step 12 from proof bits2int-range (previous step)

⊦ ¬ 2 ^ n→i(# bits0) ≤ bits2uint(bitsinvert(bits0)) ∧ ¬ bits2uint(bitsinvert(bits0)) + 2 ^ n→i(# bits0) < 0

User applied rule case distinction

And obtained the following new goals

Proof step 13:
⊦ ¬ 2 ^ n→i(# bits0) ≤ bits2uint(bitsinvert(bits0))
Proof step 16:
⊦ ¬ bits2uint(bitsinvert(bits0)) + 2 ^ n→i(# bits0) < 0

Rule argument

pos: right 1

Additional information