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Proof step 4 from proof sgn-one-01 (previous step)

sgn(bits) = true ', false ∈ bits ⊦ bits = []

User applied rule structural induction

And obtained the following new goals

Proof step 5:
sgn(bits0) = true ' ∧ false ∈ bits0 → bits0 = [] ⊦ sgn(boolvar + bits0) = true ' ∧ false ∈ boolvar + bits0 → boolvar + bits0 = []

Rule argument

indvar: bits

Additional information

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