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Proof step 21 from proof fillsgn-short (previous step)

fillsgn(2, int2bytes(bytes2int(bytes))) = bytes, # bytes ≤ # fillsgn(# bytes, int2bytes(bytes2int(bytes))), # bytes < 2 ⊦ bytes = []

User applied rule cut formula

And obtained the following new goals

Proof step 22:
# bytes = 1, fillsgn(2, int2bytes(bytes2int(bytes))) = bytes, # bytes ≤ # fillsgn(# bytes, int2bytes(bytes2int(bytes))), # bytes < 2 ⊦ bytes = []

Rule argument

fma: # bytes = 1

Additional information

Used simplifier rules: ⊦ n ≠ 1 → (n < 2 ↔ n = 0);% ⊦ # bytes = 0 ↔ bytes = []; Used formulas: # bytes = 1