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Proof step 13 from proof bytes2int-size-02 (previous step)

8 * (2 + n→i(# bytes1)) - 1 = 8 + (8 * (1 + n→i(# bytes1)) - 1), 0 < b2i(by), 2 ^ (8 * (2 + n→i(# bytes1)) - 1) ≤ band(255, b2i(by0)) + 256 * bytes2int(by ' + bytes1), bytes2int(by ' + bytes1) < 2 ^ ((n→i(# bytes1) + 1) * 8 - 1), ∀ by, bytes0. # bytes0 < #(bytes1 + by0 ') → true → 0 < b2i(by) → bytes2int(by ' + bytes0) < 2 ^ ((n→i(# bytes0) + 1) * 8 - 1) ⊦

User applied rule insert equation

And obtained the following new goals

Proof step 14:
0 < b2i(by), 2 ^ (8 + (8 * (1 + n→i(# bytes1)) - 1)) ≤ band(255, b2i(by0)) + 256 * bytes2int(by ' + bytes1), bytes2int(by ' + bytes1) < 2 ^ ((n→i(# bytes1) + 1) * 8 - 1), ∀ by, bytes0. # bytes0 < #(bytes1 + by0 ') → true → 0 < b2i(by) → bytes2int(by ' + bytes0) < 2 ^ ((n→i(# bytes0) + 1) * 8 - 1) ⊦

Rule argument

pos: left 1 flags: discard

Proof step 13 from proof bytes2int-size-02 (previous step)

User applied rule insert equation

And obtained the following new goals

Rule argument

Additional information