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Proof step 38 from proof bitsor-bi-zeroes (previous step)

¬ ((bits3 + bitsor(bits0, bits2)) + bits1).first ∧ (bits3 + bitsor(bits0, bits2)) + bits1 ≠ [], # bits0 = # bits2 ⊦ bits3 + bits0 = [], bits2uint((bits3 + bitsor(bits0, bits2)) + bits1) = bits2uint(bits2 + bits1), # bits3 = 1, bits2 = [], bits0 = [], bits3 = [], true ∈ bits3, true ∈ bits0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 39:
# bits0 = # bits2 ⊦ bits3 + bits0 = [], bits2uint((bits3 + bitsor(bits0, bits2)) + bits1) = bits2uint(bits2 + bits1), # bits3 = 1, bits2 = [], bits0 = [], bits3 = [], (bits3 + bitsor(bits0, bits2)) + bits1 = [], true ∈ bits3, true ∈ bits0, bits3.first

Rule argument

Additional information

Used simplifier rules: ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ bits ≠ [] → ((bits + bits0).first ↔ bits.first);