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Proof step 2 from proof succ-zero-01 (previous step)

false ∈ bits0 ⊦ (bits + bits0)+1 = bits + bits0 +1

User applied rule induction

And obtained the following new goals

Proof step 3:
false ∈ bits0, ∀ bits1, bits. # bits1 < # bits0 → false ∈ bits1 → (bits + bits1)+1 = bits + bits1 +1 ⊦ (bits + bits0)+1 = bits + bits0 +1

Rule argument

indvar: # bits0 wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: # bits0