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Proof step 31 from proof or-invandinv (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 32:
⊦ bits ≠ [] ∧ bits0 = true ' → bitsand(bits, bits0) = bits

Rule argument

name: and-rec-01 rotate: F subst: [bits0, bits] → [true ', bitsinvert(bits)]

Additional information

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