proposition: Lemma premaximal_partial_injection: exists x:partial_injection, premaximal partial_injection_ord x.
proof: Proof. apply ZornsLemmaForPreorders. - exact partial_injection_preord. - exact partial_injection_chain_ub. Qed.
imports: Coq(ClassicalChoice) Coq(ProofIrrelevance) Coq(FunctionalExtensionality) Coq(Description) ZornsLemma(FunctionPropertiesEns) ZornsLemma(Relation_Definitions_Implicit) ZornsLemma(CSB) ZornsLemma(EnsemblesSpec) ZornsLemma(ZornsLemma) ZornsLemma(EnsemblesImplicit) ZornsLemma(CountableTypes) ZornsLemma(FiniteTypes) ZornsLemma(InfiniteTypes) Coq(RelationClasses)