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Proof step 19 from proof bytes2int-diff (previous step)

1 < # bytes0, bytes2int(bytes0.butlast) * 256 + band(b2i(bytes0.last), 255) = bytes2int(bytes.butlast) * 256 + band(b2i(bytes.last), 255), # bytes0 = # bytes, ∀ bytes0, bytes1. # bytes1 < # bytes → # bytes0 = # bytes1 ∧ bytes2int(bytes0) = bytes2int(bytes1) → bytes0 = bytes1 ⊦ bytes0 = bytes, # bytes = 1, bytes = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
# bytes0 = # bytes, bytes2int(bytes0.butlast) * 256 + band(b2i(bytes0.last), 255) = bytes2int(bytes.butlast) * 256 + band(b2i(bytes.last), 255), ∀ bytes0, bytes1. # bytes1 < # bytes → # bytes0 = # bytes1 ∧ bytes2int(bytes0) = bytes2int(bytes1) → bytes0 = bytes1 ⊦ bytes0 = [], bytes = [], # bytes = 1, bytes0 = bytes

Rule argument

Additional information

Used simplifier rules: ⊦ # bytes = 0 ↔ bytes = [];% ⊦ 1 < m ↔ ¬(m = 0 ∨ m = 1);