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Proof step 4 from proof band-011x-neg-03 (previous step)

¬(~ j < 0 ∧ ¬ false ∈ int2bits(i).rest ∧ 0 ≤ i), 0 ≤ i ⊦ band(~ j, i) = band(i + 1 - j, i), false ∈ int2bits(i).rest

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j;% ⊦ j ≤ i ∧ i ≤ 0 → j ≤ 0; (forward)% ⊦ j ≤ j0 ∧ j0 ≤ j1 → j ≤ j1; (forward)% ⊦ i ≤ j → (¬ ¬ j < i ↔ false);% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ ~ i < 0 ↔ 0 < i;