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Set Primitive Projections.
Record ops {T:Type} := { is_ok : T -> Prop; constant : T }.
Arguments ops : clear implicits.
Record ops_ok {T} (Ops:ops T) := { constant_ok : is_ok Ops (constant Ops) }.
Definition nat_ops : ops nat := {| is_ok := fun n => n = 1; constant := 1 |}.
Definition nat_ops_ok : ops_ok nat_ops.
Proof.
split. cbn. apply eq_refl.
Qed.
Definition t := Eval lazy in constant_ok nat_ops nat_ops_ok.
Definition t' := Eval vm_compute in constant_ok nat_ops nat_ops_ok.
Definition t'' := Eval native_compute in constant_ok nat_ops nat_ops_ok.
Check (eq_refl t : t = t').
Check (eq_refl t : t = t'').
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