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Commit 019314db authored by Robbert Krebbers's avatar Robbert Krebbers
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Comment about the relation between `discrete_fun` and non-expansive functions.

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theories/algebra/ofe.v
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...@@ -1103,9 +1103,12 @@ Proof. ...@@ -1103,9 +1103,12 @@ Proof.
destruct n as [|n]; simpl in *; first done. apply oFunctor_ne, Hfg. destruct n as [|n]; simpl in *; first done. apply oFunctor_ne, Hfg.
Qed. Qed.
(* Dependently-typed functions over a discrete domain *) (** Dependently-typed functions over a discrete domain *)
(* We make [discrete_fun] a definition so that we can register it as a canonical (** We make [discrete_fun] a definition so that we can register it as a
structure. *) canonical structure. Note that non-dependent functions over a discrete domain,
[discrete_fun (λ _, A) B] (or [A -d> B] following the notation we introduce
below) are isomorphic to [leibnizC A -n> B]. In other words, since the domain
is discrete, we get non-expansiveness for free. *)
Definition discrete_fun {A} (B : A → ofeT) := ∀ x : A, B x. Definition discrete_fun {A} (B : A → ofeT) := ∀ x : A, B x.
Section discrete_fun. Section discrete_fun.
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