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

⊦ bits +1 = true ' ↔ bits = false ' ∨ bits = []

User applied rule induction

And obtained the following new goals

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

Rule argument

indvar: # bits wfpred: <

Additional information

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