Require Import Int63.

Set Implicit Arguments.

Open Scope int63_scope.

Check (eq_refl : 3 << 61 = 6917529027641081856).
Check (eq_refl 6917529027641081856 <: 3 << 61 = 6917529027641081856).
Check (eq_refl 6917529027641081856 <<: 3 << 61 = 6917529027641081856).
Definition compute1 := Eval compute in 3 << 61.
Check (eq_refl compute1 : 6917529027641081856 = 6917529027641081856).

Check (eq_refl : 2 << 62 = 0).
Check (eq_refl 0 <: 2 << 62 = 0).
Check (eq_refl 0 <<: 2 << 62 = 0).
Definition compute2 := Eval compute in 2 << 62.
Check (eq_refl compute2 : 0 = 0).

Check (eq_refl : 9223372036854775807 << 64 = 0).
Check (eq_refl 0 <: 9223372036854775807 << 64 = 0).
Check (eq_refl 0 <<: 9223372036854775807 << 64 = 0).
Definition compute3 := Eval compute in 9223372036854775807 << 64.
Check (eq_refl compute3 : 0 = 0).