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Proof step 145 from proof setInt-theorem (previous step)

¬(i >> 8 < ~128 ∨ 128 ≤ i >> 8), int2bytes(i >> 8) = by ' + by0 ' + by1 ', 3 = # int2bytes(i >> 8), by1 ∈ int2bytes(i >> 8), by ∈ int2bytes(i >> 8), i < ~128 ∨ 128 ≤ i ⊦ i = b2i(i2b(i)), by = i2b(i >> 24) ∧ by0 = i2b(i >> 16) ∧ by1 = i2b(i >> 8)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 146:
int2bytes(i >> 8) = by ' + by0 ' + by1 ', 3 = # int2bytes(i >> 8), by1 ∈ int2bytes(i >> 8), by ∈ int2bytes(i >> 8), ~128 ≤ i >> 8, i >> 8 < 128, i < ~128 ∨ 128 ≤ i ⊦ i = b2i(i2b(i)), by = i2b(i >> 24) ∧ by0 = i2b(i >> 16) ∧ by1 = i2b(i >> 8)

Rule argument

Additional information

Used simplifier rules: forward-lels: ⊦ i ≤ j ∧ j < j0 → i < j0; (forward) from specification int-abs%lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs%lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs