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Proof step 2 from proof fill-sgn-02 (previous step)

⊦ bits = [], fillsgn(# bits, sgn(bits)) = bits

User applied rule structural induction

And obtained the following new goals

Proof step 3:
bits0 = [] ∨ fillsgn(# bits0, sgn(bits0)) = bits0 ⊦ boolvar + bits0 = [], fillsgn(#(boolvar + bits0), sgn(boolvar + bits0)) = boolvar + bits0

Rule argument

indvar: bits

Additional information

Used simplifier rules: bitlist freely generated by [], +;;