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Require Import Int63.
Set Implicit Arguments.
Open Scope int63_scope.
Check (eq_refl : 6 mod 3 = 0).
Check (eq_refl 0 <: 6 mod 3 = 0).
Check (eq_refl 0 <<: 6 mod 3 = 0).
Definition compute1 := Eval compute in 6 mod 3.
Check (eq_refl compute1 : 0 = 0).
Check (eq_refl : 5 mod 3 = 2).
Check (eq_refl 2 <: 5 mod 3 = 2).
Check (eq_refl 2 <<: 5 mod 3 = 2).
Definition compute2 := Eval compute in 5 mod 3.
Check (eq_refl compute2 : 2 = 2).
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