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Require Import Int63.
Set Implicit Arguments.
Open Scope int63_scope.
Check (eq_refl : 0 lxor 0 = 0).
Check (eq_refl 0 <: 0 lxor 0 = 0).
Check (eq_refl 0 <<: 0 lxor 0 = 0).
Definition compute1 := Eval compute in 0 lxor 0.
Check (eq_refl compute1 : 0 = 0).
Check (eq_refl : 9223372036854775807 lxor 0 = 9223372036854775807).
Check (eq_refl 9223372036854775807 <: 9223372036854775807 lxor 0 = 9223372036854775807).
Check (eq_refl 9223372036854775807 <<: 9223372036854775807 lxor 0 = 9223372036854775807).
Definition compute2 := Eval compute in 9223372036854775807 lxor 0.
Check (eq_refl compute2 : 9223372036854775807 = 9223372036854775807).
Check (eq_refl : 0 lxor 9223372036854775807 = 9223372036854775807).
Check (eq_refl 9223372036854775807 <: 0 lxor 9223372036854775807 = 9223372036854775807).
Check (eq_refl 9223372036854775807 <<: 0 lxor 9223372036854775807 = 9223372036854775807).
Definition compute3 := Eval compute in 0 lxor 9223372036854775807.
Check (eq_refl compute3 : 9223372036854775807 = 9223372036854775807).
Check (eq_refl : 9223372036854775807 lxor 9223372036854775807 = 0).
Check (eq_refl 0 <: 9223372036854775807 lxor 9223372036854775807 = 0).
Check (eq_refl 0 <<: 9223372036854775807 lxor 9223372036854775807 = 0).
Definition compute4 := Eval compute in 9223372036854775807 lxor 9223372036854775807.
Check (eq_refl compute4 : 0 = 0).
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