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Proof step 3 from proof succ-zero-01 (previous step)

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

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 4:
⊦ bits ≠ [] → (∃ bits0, boolvar. bits = bits0 + boolvar ')
Proof step 5:
bits0 ≠ [] → (∃ bits1, boolvar. bits0 = bits1 + boolvar '), false ∈ bits0, ∀ bits1, bits. # bits1 < # bits0 → false ∈ bits1 → (bits + bits1)+1 = bits + bits1 +1 ⊦ (bits + bits0)+1 = bits + bits0 +1

Rule argument

seq: ⊦ bits ≠ [] → (∃ bits0, boolvar. bits = bits0 + boolvar ') subst: [bits] → [bits0] rotate: F spec: list inst: bitlista name: lastdiv

Additional information

Used terms: bits0