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Proof step 22 from proof long-is-cast (previous step)

64 < # int2bits(i) ⊦ l2i(i2l(cast(64, i))) = cast(64, i), i ∈long

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 23:
~9223372036854775808 ≤ i, i ≤ 9223372036854775807 ⊦ l2i(i2l((* i))) = i
Proof step 24:
¬(~9223372036854775808 ≤ cast(64, i) ∧ cast(64, i) ≤ 9223372036854775807), 64 < # int2bits(i) ⊦ l2i(i2l(cast(64, i))) = cast(64, i), i ∈long

Rule argument

name: num-illi rotate: F subst: [i] → [cast(64, i)]

Additional information

Used terms: cast(64, i)