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Proof step 40 from proof int2bytes-len-eq-pos (previous step)

i2b(0) ' + int2bytes(i).rest = int2bytes(i), 2 ^ (8 * (1 + n→i(# int2bytes(i).rest - 1)) - 1) ≤ bytes2int(i2b(0) ' + int2bytes(i).rest), int2bytes(i).first = i2b(0), i < 2 ^ (8 * n→i(# int2bytes(i) - 1)), 2 ≤ # int2bytes(i), 0 ≤ i ⊦ int2bytes(i).rest = [], # int2bytes(i) = n ↔ ¬ i < 2 ^ ((n→i(n) - 1) * 8 - 1) ∧ ¬ 2 ^ ((n→i(n) - 1) * 8) ≤ i ∧ n ≠ 0

User applied rule insert equation

And obtained the following new goals

Proof step 41:
2 ^ (8 * (1 + n→i(# int2bytes(i).rest - 1)) - 1) ≤ bytes2int(int2bytes(i)), int2bytes(i).first = i2b(0), i < 2 ^ (8 * n→i(# int2bytes(i) - 1)), 2 ≤ # int2bytes(i), 0 ≤ i ⊦ int2bytes(i).rest = [], # int2bytes(i) = n ↔ ¬ i < 2 ^ ((n→i(n) - 1) * 8 - 1) ∧ ¬ 2 ^ ((n→i(n) - 1) * 8) ≤ i ∧ n ≠ 0

Rule argument

pos: left 1 flags: discard

Proof step 40 from proof int2bytes-len-eq-pos (previous step)

User applied rule insert equation

And obtained the following new goals

Rule argument

Additional information