Require Import Sint63.

Set Implicit Arguments.

Open Scope sint63_scope.

Check (eq_refl : 1 <=? 1 = true).
Check (eq_refl true <: 1 <=? 1 = true).
Check (eq_refl true <<: 1 <=? 1 = true).
Definition compute1 := Eval compute in 1 <=? 1.
Check (eq_refl compute1 : true = true).

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 : 4611686018427387903 <=? 0 = false).
Check (eq_refl false <: 4611686018427387903 <=? 0 = false).
Check (eq_refl false <<: 4611686018427387903 <=? 0 = false).
Definition compute3 := Eval compute in 4611686018427387903 <=? 0.
Check (eq_refl compute3 : false = false).

Check (eq_refl : 1 <=? -1 = false).
Check (eq_refl false <: 1 <=? -1 = false).
Check (eq_refl false <<: 1 <=? -1 = false).
Definition compute4 := Eval compute in 1 <=? -1.
Check (eq_refl compute4 : false = false).