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Proof step 9 from proof or-invandinv (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
∀ bits1, bits0. # bits1 < # bits → true → bits1 = [] ∨ bits0 = [] ∨ bitsor(bits1, bits0) = bitsinvert(bitsand(bitsinvert(bits1), bitsinvert(bits0))) ⊦ bitsor(bits, bits0) = bitsinvert(bitsand(bitsinvert(bits), bitsinvert(bits0))), bits0 = [], bits = [], bits0 = true ', bits ≠ bits.first ' ∧ bits0 ≠ bits0.first '

Proof step 9 from proof or-invandinv (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information