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Proof step 9 from proof uint2bits-sgn (previous step)

0 < i → uint2bits(i).rest.first, uint2bits(i) = false ' + bits, 0 < i, false ∈ uint2bits(i) ⊦ sgn(uint2bits(i)) = uint2bits(i)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
uint2bits(i) = false ' + bits, 0 < i, false ∈ uint2bits(i), uint2bits(i).rest.first ⊦ sgn(uint2bits(i)) = uint2bits(i)

Rule argument

Additional information

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