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Proof step 12 from proof bitsor-ones-false (previous step)

∀ bits1, bits0. # bits0 < # bits → true → bits0 = [] ∨ bitsor(bits0, false ' + bits1) = bits0 ∨ false ∈ bits0 ⊦ bitsor(bits, false ' + bits1) = bits, bits = [], bits = false ', false ∈ bits, # bits ≠ 1 ∧ bits1 ≠ []

User applied rule cut formula

And obtained the following new goals

Proof step 13:
# bits ≠ 1, ∀ bits1, bits0. # bits0 < # bits → true → bits0 = [] ∨ bitsor(bits0, false ' + bits1) = bits0 ∨ false ∈ bits0 ⊦ bitsor(bits, false ' + bits1) = bits, bits = [], bits = false ', false ∈ bits, # bits ≠ 1 ∧ bits1 ≠ []
Proof step 16:
∀ bits1, bits0. # bits0 < # bits → true → bits0 = [] ∨ bitsor(bits0, false ' + bits1) = bits0 ∨ false ∈ bits0 ⊦ # bits ≠ 1, bitsor(bits, false ' + bits1) = bits, bits = [], bits = false ', false ∈ bits, # bits ≠ 1 ∧ bits1 ≠ []

Rule argument

fma: # bits ≠ 1

Additional information

Used formulas: # bits ≠ 1