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Proof step 25 from proof long-is-cast (previous step)

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

User applied rule case distinction

And obtained the following new goals

Proof step 26:
64 < # int2bits(i) ⊦ ¬ cast(64, i) < ~9223372036854775808, l2i(i2l(cast(64, i))) = cast(64, i), i ∈long
Proof step 29:
64 < # int2bits(i) ⊦ ¬ 9223372036854775807 < cast(64, i), l2i(i2l(cast(64, i))) = cast(64, i), i ∈long

Rule argument

pos: right 3

Additional information