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Proof step 1 from proof succ-succ (conclusion)

⊦ (false ' + bitsinvert((false ' + bitsinvert(bits))+1))+1 = false ' + true ' + bits

User applied rule induction

And obtained the following new goals

Proof step 2:
true, ∀ bits0. # bits0 < # bits → true → (false ' + bitsinvert((false ' + bitsinvert(bits0))+1))+1 = false ' + true ' + bits0 ⊦ (false ' + bitsinvert((false ' + bitsinvert(bits))+1))+1 = false ' + true ' + bits

Rule argument

indvar: # bits wfpred: <

Additional information

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