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Proof step 4 from proof bitsor-zeroes-false (previous step)

# bits ≤ 1 + # bits1 ⊦ bits = [], bitsor(bits, false ' + bits1) = false ' + bits1, true ∈ bits

User applied rule induction

And obtained the following new goals

Proof step 5:
# bits ≤ 1 + # bits1, ∀ bits1, bits0. # bits0 < # bits → # bits0 ≤ 1 + # bits1 → bits0 = [] ∨ bitsor(bits0, false ' + bits1) = false ' + bits1 ∨ true ∈ bits0 ⊦ bits = [] ∨ bitsor(bits, false ' + bits1) = false ' + bits1 ∨ true ∈ bits

Rule argument

indvar: # bits wfpred: <

Additional information

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