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Proof step 3 from proof long-mod-neg-low (previous step)

j < 0, j % 18446744073709551616 < ~9223372036854775808 ⊦ l2i(i2l(j)) = 18446744073709551616 + j % 18446744073709551616, j % 18446744073709551616 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ l2i(i2l(i)) = cast(64, i)
Proof step 5:
j < 0, j % 18446744073709551616 < ~9223372036854775808 ⊦ cast(64, j) = 18446744073709551616 + j % 18446744073709551616, j % 18446744073709551616 = 0

Rule argument

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

Additional information

Used terms: j