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Proof step 34 from proof ubits2ubits-def (previous step)

1 < bits2uint(bits0) * 2 + 1, ∀ bits1. # bits1 < #(bits0 + true ') → true → uint2bits(bits2uint(bits1)) = sgn(false ' + bits1) ⊦ uint2bits((bits2uint(bits0) * 2 + 1) / 2) + ((bits2uint(bits0) * 2 + 1) % 2 = 1) = sgn(false ' + bits0 + true ')

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i * j = j * i;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ 0 < i → (0 < i * j ↔ 0 < j);% ⊦ (* j) < i0 + (* j0) ↔ j - j0 < i0;% ⊦ bits + boolvar = bits + boolvar ';