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

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

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 4:
⊦ bits ≠ [] → (∃ bits0, boolvar. bits = bits0 + boolvar ')
Proof step 5:
bits ≠ [] → (∃ bits0, boolvar. bits = bits0 + boolvar '), ∀ 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

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

Additional information

Used terms: bits