Multiple Where-clauses for Reserved Notation in Coq?

2
votes

I've got a bunch of mutually-inductive datatypes declared using with, and I'd like to define a Notation for each of them that I can use while I'm defining them.

I'm aware of Reserved Notations and with clauses, but I can't figure out the syntax to define multiple notations which are avaliable to all of my mutually-inductive types.

Is it possible to define multiple Notations in where clauses, and if so, does anyone have an example of this I can see?

1
coqnotationdependent-type

1 Answers

4
votes

An example:

Reserved Notation "# n" (at level 80).
Reserved Notation "! n" (at level 80).

Inductive even : nat -> Set :=
  | ev0 : #0
  | evS : forall n, !n -> # S n
where "# n" := (even n)
with odd : nat -> Set :=
  odS : forall n, #n -> ! S n
where "! n" := (odd n).