updates to playground help/comments

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2025-12-29 09:49:07 -08:00
parent 391b9092b4
commit 3abd18ce48
2 changed files with 19 additions and 20 deletions

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@@ -1,48 +1,47 @@
module Reasoning
infix 4 _≡_
data _≡_ : {A : U} A A U where
Refl : A. {x : A} x x
-- From the "Lists" chapter of Programming Language Foundations in Agda
-- https://plfa.github.io/Lists/
sym : A. {x y : A} x y y x
-- We define a few types and functions on lists and prove a couple of properties
-- about them. This example demonstrates mixfix operators.
infix 4 _≡_
data _≡_ : A. A A U where
Refl : A. {0 x : A} x x
sym : A. {0 x y : A} x y y x
sym Refl = Refl
trans : A. {x y z : A} x y y z x z
trans : A. {0 x y z : A} x y y z x z
trans Refl eq = eq
cong : A B. (f : A B) {x y : A}
cong : A B. (0 f : A B) {0 x y : A}
x y
f x f y
cong f Refl = Refl
cong-app : A B. {f g : A B}
cong-app : A B. {0 f g : A B}
f g
(x : A) f x g x
(0 x : A) f x g x
cong-app Refl = λ y => Refl
infixl 1 begin_
infixr 2 _≡⟨⟩_ _≡⟨_⟩_
infixl 3 _∎
begin_ : A. {x y : A} x y x y
begin_ : A. {0 x y : A} x y x y
begin x≡y = x≡y
_≡⟨⟩_ : A. (x : A) {y : A} x y x y
_≡⟨⟩_ : A. (0 x : A) {0 y : A} x y x y
x ≡⟨⟩ x≡y = x≡y
_≡⟨_⟩_ : A. (x : A) {y z : A} x y y z x z
_≡⟨_⟩_ : A. (0 x : A) {0 y z : A} x y y z x z
x ≡⟨ x≡y y≡z = trans x≡y y≡z
_∎ : A. (x : A) x x
_∎ : A. (0 x : A) x x
x = Refl
-- From the "Lists" chapter of Programming Language Foundations in Agda
-- https://plfa.github.io/Lists/
-- We define a few types and functions on lists and prove a couple of properties
-- about them
-- Natural numbers are zero (Z) or the successor (S) of a natural number
-- We'll use these to represent the length of lists
data Nat : U where

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Newt is a dependent typed programming language that compiles to javascript. This playground embeds the newt compiler and a codemirror based editor.
The editor will typecheck the file with newt and render errors as the file is changed. The current file is saved to localStorage and will be restored if there is no data in the URL. Cmd-s or Ctrl-s will create a url embedding the file contents. There is a layout toggle for phone use.
The editor will typecheck the file with newt and render errors as the file is changed. The current file is saved to localStorage and will be restored if there is no data in the URL. Cmd-s or Ctrl-s will create a url embedding the file contents.
## Tabs