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Proof step 44 from proof bitsor-bi-zeroes (previous step)

# bits0 = # bits2 ⊦ bits = [], bits2uint(bitsor(bits0, bits2) + bits1) = bits2uint(bits2 + bits1), bits0 = [], bits2 = [], true ∈ bits, true ∈ bits0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 45:
⊦ ¬ true ∈ bits ∧ # bits = # bits0 ∧ bits ≠ [] ∧ bits0 ≠ [] → bitsor(bits, bits0) = bits0

Rule argument

name: bitsor-zeroes-samelen rotate: F subst: [bits0, bits] → [bits2, bits0]

Additional information

Used simplifier rules: bitsor-zeroes-samelen: ⊦ ¬ true ∈ bits ∧ # bits = # bits0 ∧ bits ≠ [] ∧ bits0 ≠ [] → bitsor(bits, bits0) = bits0; Used terms: bits2, bits0