fact: Definition N_infty := { p : nat -> bool | forall n : nat, p n = true -> forall m : nat, m < n -> p m = true }.
imports: Coq(FunctionalExtensionality Lia PeanoNat ProofIrrelevance ProofIrrelevanceFacts) ZornsLemma(FiniteTypes FunctionProperties) Coq(RelationClasses)