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Require Import Int63.
Set Implicit Arguments.
Open Scope int63_scope.
Check (eq_refl : 1 < 1 = false).
Check (eq_refl false <: 1 < 1 = false).
Check (eq_refl false <<: 1 < 1 = false).
Definition compute1 := Eval compute in 1 < 1.
Check (eq_refl compute1 : false = false).
Check (eq_refl : 1 < 2 = true).
Check (eq_refl true <: 1 < 2 = true).
Check (eq_refl true <<: 1 < 2 = true).
Definition compute2 := Eval compute in 1 < 2.
Check (eq_refl compute2 : true = true).
Check (eq_refl : 9223372036854775807 < 0 = false).
Check (eq_refl false <: 9223372036854775807 < 0 = false).
Check (eq_refl false <<: 9223372036854775807 < 0 = false).
Definition compute3 := Eval compute in 9223372036854775807 < 0.
Check (eq_refl compute3 : false = false).
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