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Proof step 10 from proof int2bytes-len-le-neg-03 (previous step)

int2bytes(i).first = i2b(~1), bytes2int(i2b(~1) ' + int2bytes(i).rest.first ' + int2bytes(i).rest.rest) + 2 ^ (8 * (n→i(# int2bytes(i).rest.rest) + 1) - 1) < 0, 0 ≤ 2 ^ ((n→i(# int2bytes(i).rest.rest) + 1) * 8) + bytes2int(i2b(~1) ' + int2bytes(i).rest.first ' + int2bytes(i).rest.rest), 0 ≤ b2i(int2bytes(i).rest.first) ⊦ # int2bytes(i) ≤ n ↔ ¬ 2 ^ (8 * n→i(n) - 1) + i < 0

User applied rule cut formula

And obtained the following new goals

Proof step 11:
i2b(~1) ' + int2bytes(i).rest.first ' + int2bytes(i).rest.rest = int2bytes(i), int2bytes(i).first = i2b(~1), bytes2int(i2b(~1) ' + int2bytes(i).rest.first ' + int2bytes(i).rest.rest) + 2 ^ (8 * (n→i(# int2bytes(i).rest.rest) + 1) - 1) < 0, 0 ≤ 2 ^ ((n→i(# int2bytes(i).rest.rest) + 1) * 8) + bytes2int(i2b(~1) ' + int2bytes(i).rest.first ' + int2bytes(i).rest.rest), 0 ≤ b2i(int2bytes(i).rest.first) ⊦ # int2bytes(i) ≤ n ↔ ¬ 2 ^ (8 * n→i(n) - 1) + i < 0
Proof step 36:
int2bytes(i).first = i2b(~1), bytes2int(i2b(~1) ' + int2bytes(i).rest.first ' + int2bytes(i).rest.rest) + 2 ^ (8 * (n→i(# int2bytes(i).rest.rest) + 1) - 1) < 0, 0 ≤ 2 ^ ((n→i(# int2bytes(i).rest.rest) + 1) * 8) + bytes2int(i2b(~1) ' + int2bytes(i).rest.first ' + int2bytes(i).rest.rest), 0 ≤ b2i(int2bytes(i).rest.first) ⊦ i2b(~1) ' + int2bytes(i).rest.first ' + int2bytes(i).rest.rest = int2bytes(i), # int2bytes(i) ≤ n ↔ ¬ 2 ^ (8 * n→i(n) - 1) + i < 0

Rule argument

fma: i2b(~1) ' + int2bytes(i).rest.first ' + int2bytes(i).rest.rest = int2bytes(i)

Additional information

Used formulas: i2b(~1) ' + int2bytes(i).rest.first ' + int2bytes(i).rest.rest = int2bytes(i)