fact: Record partial_injection_ord (pi1 pi2:partial_injection) : Prop := { pi_dom_inc: Included (pi_dom pi1) (pi_dom pi2); pi_func_ext: forall (x:X) (i1:In (pi_dom pi1) x) (i2:In (pi_dom pi2) x), pi_func pi1 x i1 = pi_func pi2 x i2 }.
imports: FunctionProperties Relation_Definitions Relation_Definitions_Implicit CSB EnsemblesSpec ClassicalChoice ZornsLemma EnsemblesImplicit ProofIrrelevance FunctionalExtensionality Description