Add warmup.v to _CoqProject

amethyst
Shad Amethyst 1 year ago
parent d19e67658c
commit f9f3b806a2

@ -13,4 +13,4 @@ theories/lib/maps.v
theories/lib/sets.v
# By removing the # below, you can add the exercise sheets to make
#theories/type_systems/warmup/warmup.v
theories/type_systems/warmup/warmup.v

@ -25,7 +25,7 @@ Fixpoint expr_eval (e : expr) : Z :=
| Mul a b => (expr_eval a) * (expr_eval b)
end.
Check expr_eval (Mul (Const 3) (Const 2)).
(* Check expr_eval (Mul (Const 3) (Const 2)). *)
(** Now let's define some notation to make it look nice! *)
(* We declare a so-called notation scope, so that we can still use the nice notations for addition on natural numbers [nat] and integers [Z]. *)
@ -38,10 +38,10 @@ Notation "e1 * e2" := (Mul e1%Z e2%Z) : expr.
(note the [%E] to tell Coq to parse this as an arithmetical expression with the
notations we just defined).
*)
Check (Const 5 + Const 5)%E.
(* Check (Const 5 + Const 5)%E. *)
(* The notation also still works for [Z] and [nat]: *)
Check (5 + 5)%Z.
Check (5 + 5).
(* Check (5 + 5)%Z. *)
(* Check (5 + 5). *)
(* As an exercise, rephrase the following lemmas using the newly defined notation *)

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