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Proof step 3 from proof long-mod-pos-high (previous step)

0 < j % 18446744073709551616, 0 ≤ j, 9223372036854775807 < j % 18446744073709551616 ⊦ j % 18446744073709551616 = l2i(i2l(j)) + 18446744073709551616

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ l2i(i2l(i)) = cast(64, i)
Proof step 5:
0 < j % 18446744073709551616, 0 ≤ j, 9223372036854775807 < j % 18446744073709551616 ⊦ j % 18446744073709551616 = cast(64, j) + 18446744073709551616

Rule argument

name: long-is-cast rotate: F subst: [i] → [j]

Additional information

Used terms: j