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Proof step 4 from proof succ-ones (previous step)

∀ bits0. # bits0 < # bits → true → bits0 +1 = true ' + bitsinvert(bits0) ∨ false ∈ bits0 ⊦ bits +1 = true ' + bitsinvert(bits), false ∈ bits

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 5:
⊦ bits ≠ [] → (∃ bits0, boolvar. bits = bits0 + boolvar ')
Proof step 6:
bits ≠ [] → (∃ bits0, boolvar. bits = bits0 + boolvar '), ∀ bits0. # bits0 < # bits → true → bits0 +1 = true ' + bitsinvert(bits0) ∨ false ∈ bits0 ⊦ bits +1 = true ' + bitsinvert(bits), false ∈ bits

Rule argument

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

Additional information

Used terms: bits