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Proof step 324 from proof bitsand-cast (previous step)

n = # fillsgn(n, bits), # bits < n, # bits ≤ # bits0 ∨ bits0.first ⊦ bits0 = [], bits = [], mklist(false, n) = fillsgn(n, bits), true ∈ bits, ¬ # bits ≤ # bits0 ∧ ¬ bits0.first

User applied rule cut formula

And obtained the following new goals

Proof step 325:
# bits ≤ # bits0, n = # fillsgn(n, bits), # bits < n, # bits ≤ # bits0 ∨ bits0.first ⊦ bits0 = [], bits = [], mklist(false, n) = fillsgn(n, bits), true ∈ bits, ¬ # bits ≤ # bits0 ∧ ¬ bits0.first
Proof step 335:
n = # fillsgn(n, bits), # bits < n, # bits ≤ # bits0 ∨ bits0.first ⊦ # bits ≤ # bits0, bits0 = [], bits = [], mklist(false, n) = fillsgn(n, bits), true ∈ bits, ¬ # bits ≤ # bits0 ∧ ¬ bits0.first

Rule argument

fma: # bits ≤ # bits0

Additional information

Used formulas: # bits ≤ # bits0