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Proof step 26 from proof long-is-cast (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
cast(64, i) < ~9223372036854775808, 64 < # int2bits(i), cast(64, i) < 0 ⊦ l2i(i2l(cast(64, i))) = cast(64, i), i ∈long

Rule argument

Additional information

Used simplifier rules: ⊦ i < (* j) ∧ j < 0 → i < 0; (forward)