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Proof step 8 from proof succ-zero-01 (previous step)

false ∈ bits1, ∀ bits0, bits2. ¬ # bits1 < # bits0 → false ∈ bits0 → (bits2 + bits0)+1 = bits2 + bits0 +1 ⊦ (bits + bits1)+1 = bits + bits1 +1

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 2 terms: bits1, bits

Additional information

Used simplifier rules: ⊦ ¬ n < n; Used terms: bits1, bits