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Proof step 38 from proof rightshift-8-01-01 (previous step)

i < 0, # int2bytes(i) ≤ i→n(j), 2 ^ (8 * abs(j) - 1) + i < 0 ⊦ j = 0, i >> 8 * j = ~1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 39:
⊦ i < 0 ∧ int2bytes(i).first ≠ i2b(~1) → (# int2bytes(i) ≤ n ↔ ~(2 ^ (8 * n→i(n))) ≤ i)
Proof step 40:
¬(i < 0 ∧ int2bytes(i).first ≠ i2b(~1)), i < 0, # int2bytes(i) ≤ i→n(j), 2 ^ (8 * abs(j) - 1) + i < 0 ⊦ j = 0, i >> 8 * j = ~1
Proof step 43:
i < 0 ∧ int2bytes(i).first ≠ i2b(~1), i < 0, ~(2 ^ (8 * n→i(i→n(j)))) ≤ i, 2 ^ (8 * abs(j) - 1) + i < 0 ⊦ j = 0, i >> 8 * j = ~1

Rule argument

name: int2bytes-len-le-neg-02 rotate: F subst: [n, i] → [i→n(j), i]

Additional information

Used terms: i→n(j), i