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Proof step 34 from proof or-invandinv (previous step)

∀ bits1, bits0. # bits1 < # bits → true → bits1 = [] ∨ bits0 = [] ∨ bitsor(bits1, bits0) = bitsinvert(bitsand(bitsinvert(bits1), bitsinvert(bits0))) ⊦ bits = [], bitsand(bitsinvert(bits), false ') = false '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 35:
⊦ bits ≠ [] ∧ bits0 = false ' → bitsand(bits, bits0) = false '

Rule argument

name: and-rec-02 rotate: F subst: [bits0, bits] → [false ', bitsinvert(bits)]

Additional information

Used simplifier rules: ⊦ bitsinvert(bits) = [] ↔ bits = []; Used terms: false ', bitsinvert(bits)