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Proof step 2 from proof long-mod-neg-high (previous step)

j < 0, ~(2 ^ (64 - 1)) ≤ j % 2 ^ 64 ⊦ l2i(i2l(j)) = j % 2 ^ 64

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
~9223372036854775808 ≤ j % 18446744073709551616, j < 0 ⊦ l2i(i2l(j)) = j % 18446744073709551616

Rule argument

Additional information

Used simplifier rules: ⊦ j < i ∧ i ≤ 0 → j < 0; (forward)