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Proof step 11 from proof int2bytes-len-eq-pos (previous step)

i2b(0) ' + int2bytes(i).rest.first ' + int2bytes(i).rest.rest = int2bytes(i), bytes2int(i2b(0) ' + int2bytes(i).rest.first ' + int2bytes(i).rest.rest) < 2 ^ ((n→i(# int2bytes(i).rest.rest) + 1) * 8), int2bytes(i).first = i2b(0), 0 ≤ i ⊦ # 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 12:
bytes2int(int2bytes(i)) < 2 ^ ((n→i(# int2bytes(i).rest.rest) + 1) * 8), int2bytes(i).first = i2b(0), 0 ≤ i ⊦ # 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 11 from proof int2bytes-len-eq-pos (previous step)

User applied rule insert equation

And obtained the following new goals

Rule argument

Additional information