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Proof step 9 from proof bits2bits-def (previous step)

¬ ~ bits2uint((false ' + bitsinvert(bits0))+1) < 0 ⊦ int2bits(~ bits2uint((false ' + bitsinvert(bits0))+1)) = sgn(true ' + bits0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
bits2uint((false ' + bitsinvert(bits0))+1) = 0 ⊦ false ' = sgn(true ' + bits0)

Rule argument

Additional information

Used simplifier rules: bits2uint-not-neg: ⊦ bits2uint(bits) ≤ 0 ↔ bits2uint(bits) = 0;%int2bits-zero: ⊦ int2bits(0) = false ';% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ ~ i < 0 ↔ 0 < i;