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Proof step 4 from proof fill-last (previous step)

⊦ bits = [], fillsgn(m + 1, bits + boolvar ') = fillsgn(m, bits) + boolvar '

User applied rule structural induction

And obtained the following new goals

Proof step 5:
⊦ bits = [] ∨ fillsgn(0 + 1, bits + boolvar ') = fillsgn(0, bits) + boolvar '
Proof step 11:
∀ bits, boolvar. bits = [] ∨ fillsgn(m0 + 1, bits + boolvar ') = fillsgn(m0, bits) + boolvar ' ⊦ bits = [] ∨ fillsgn(m0 +1 + 1, bits + boolvar ') = fillsgn(m0 +1, bits) + boolvar '

Rule argument

indvar: m

Additional information

Used simplifier rules: nat freely generated by 0, +1;;