fact: Axiom sig_forall_dec : forall (P : nat -> Prop), (forall n, {P n} + {~P n}) -> {n | ~P n} + {forall n, P n}.
imports: Coq.Logic.Eqdep_dec Coq.Logic.FunctionalExtensionality Coq.Logic.HLevels QArith Qabs ConstructiveCauchyReals ConstructiveRcomplete Lia Lqa Qpower QExtra