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Proof step 9 from proof ubits2ubits-def (previous step)

¬ boolvar, ∀ bits1. # bits1 < #(bits0 + boolvar ') → true → uint2bits(bits2uint(bits1)) = sgn(false ' + bits1) ⊦ uint2bits(bits2uint(bits0 + boolvar ')) = sgn(false ' + bits0 + boolvar ')

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
∀ bits1. # bits1 < #(bits0 + false ') → true → uint2bits(bits2uint(bits1)) = sgn(false ' + bits1) ⊦ uint2bits(bits2uint(bits0) * 2) = sgn(false ' + bits0 + false ')

Rule argument

Additional information

Used simplifier rules: bits2uint-zero: ⊦ bits2uint(bits + false ') = bits2uint(bits) * 2;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;