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Proof step 10 from proof bits2bits-def (previous step)

bits2uint((false ' + bitsinvert(bits0))+1) = 0 ⊦ false ' = sgn(true ' + bits0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ true ∈ bits → bits2uint(bits) ≠ 0

Rule argument

name: bits2uint-not-zero rotate: F subst: [bits] → [(false ' + bitsinvert(bits0))+1]

Additional information

Used simplifier rules: bits2uint-zeros: ⊦ ¬ true ∈ bits → bits2uint(bits) = 0;% ⊦ ¬ true ∈ bits +1 ↔ false; Used terms: (false ' + bitsinvert(bits0))+1