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Proof step 2 from proof succ-prefix (previous step)

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

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 3:
⊦ bits ≠ [] → (∃ bits0, boolvar. bits = bits0 + boolvar ')
Proof step 4:
bits0 ≠ [] → (∃ bits1, boolvar. bits0 = bits1 + boolvar '), true, ∀ bits1, bits. # bits1 < # bits0 → true → (bits + false ' + bits1)+1 = bits + (false ' + bits1)+1 ⊦ (bits + false ' + bits0)+1 = bits + (false ' + 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