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Proof step 2 from proof succ-falsein (previous step)

⊦ bits = [], false ∈ (false ' + bits)+1

User applied rule induction

And obtained the following new goals

Proof step 3:
true, ∀ bits0. # bits0 < # bits → true → bits0 = [] ∨ false ∈ (false ' + bits0)+1 ⊦ bits = [] ∨ false ∈ (false ' + bits)+1

Rule argument

indvar: # bits wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: # bits