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Proof step 24 from proof long-is-cast (previous step)

¬(~9223372036854775808 ≤ cast(64, i) ∧ cast(64, i) ≤ 9223372036854775807), 64 < # int2bits(i) ⊦ l2i(i2l(cast(64, i))) = cast(64, i), i ∈long

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 25:
64 < # int2bits(i) ⊦ l2i(i2l(cast(64, i))) = cast(64, i), i ∈long, ¬ cast(64, i) < ~9223372036854775808 ∧ ¬ 9223372036854775807 < cast(64, i)

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;