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@@ -292,7 +290,7 @@ composition.</p><span class="w"> </span><span class="bp">∀</span><span class="w"> </span><span class="o">{</span><span class="n">α</span><span class="w"> </span><span class="n">β</span><span class="w"> </span><span class="n">γ</span><span class="o">}</span><span class="w"> </span><span class="o">{</span><span class="n">f</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">Filter</span><span class="w"> </span><span class="n">α</span><span class="o">}</span><span class="w"> </span><span class="o">{</span><span class="n">m</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">α</span><span class="w"> </span><span class="bp">→</span><span class="w"> </span><span class="n">β</span><span class="o">}</span><span class="w"> </span><span class="o">{</span><span class="n">m'</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">β</span><span class="w"> </span><span class="bp">→</span><span class="w"> </span><span class="n">γ</span><span class="o">},</span><span class="w"> </span><span class="n">map</span><span class="w"> </span><span class="n">m'</span><span class="w"> </span><span class="o">(</span><span class="n">map</span><span class="w"> </span><span class="n">m</span><span class="w"> </span><span class="n">f</span><span class="o">)</span><span class="w"> </span><span class="bp">=</span><span class="w"> </span><span class="n">map</span><span class="w"> </span><span class="o">(</span><span class="n">m'</span><span class="w"> </span><span class="bp">∘</span><span class="w"> </span><span class="n">m</span><span class="o">)</span><span class="w"> </span><span class="n">f</span><span class="o">)</span> </pre></div> </div> <p>Together these two properties allow us to prove that limits compose, yielding in one shot all 256 variants <p>Together these two properties allow us to prove that limits compose, yielding in one shot all 512 variants of the composition lemma described in the introduction, and lots more. You can practice proving the following statement using either the definition of <code class="docutils literal notranslate"><span class="pre">Tendsto₁</span></code> in terms of the
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'class="rtd-current-item"' : ""}> <a href="${version.urls.documentation}">${version.slug}</a> </dd> `, ) .join("\n")} </dl> `; return versionsHTML; } function renderDownloads(config) { if (!Object.keys(config.versions.current.downloads).length) { return ""; } const downloadsNameDisplay = { pdf: "PDF", epub: "Epub", htmlzip: "HTML", }; const downloadsHTML = ` <dl> <dt>Downloads</dt> ${Object.entries(config.versions.current.downloads) .map( ([name, url]) => ` <dd> <a href="${url}">${downloadsNameDisplay[name]}</a> </dd> `, ) .join("\n")} </dl> `; return downloadsHTML; } document.addEventListener("readthedocs-addons-data-ready", function (event) { const config = event.detail.data(); const flyout = ` <div class="rst-versions" data-toggle="rst-versions" role="note"> <span class="rst-current-version" data-toggle="rst-current-version"> <span class="fa fa-book"> Read the Docs</span> v: ${config.versions.current.slug} <span class="fa fa-caret-down"></span> </span> <div class="rst-other-versions"> <div class="injected"> ${renderLanguages(config)} ${renderVersions(config)} ${renderDownloads(config)} <dl> <dt>On Read the Docs</dt> <dd> <a href="${config.projects.current.urls.home}">Project Home</a> </dd> <dd> <a href="${config.projects.current.urls.builds}">Builds</a> </dd> <dd> <a href="${config.projects.current.urls.downloads}">Downloads</a> </dd> </dl> <dl> <dt>Search</dt> <dd> <form id="flyout-search-form"> <input class="wy-form" type="text" name="q" aria-label="Search docs" placeholder="Search docs" /> </form> </dd> </dl> <hr /> <small> <span>Hosted by <a href="https://about.readthedocs.org/?utm_source=&utm_content=flyout">Read the Docs</a></span> </small> </div> </div> `; // Inject the generated flyout into the body HTML element. document.body.insertAdjacentHTML("beforeend", flyout); // Trigger the Read the Docs Addons Search modal when clicking on the "Search docs" input from inside the flyout. document .querySelector("#flyout-search-form") .addEventListener("focusin", () => { const event = new CustomEvent("readthedocs-search-show"); document.dispatchEvent(event); }); }) } if (themeLanguageSelector || themeVersionSelector) { function onSelectorSwitch(event) { const option = event.target.selectedIndex; const item = event.target.options[option]; window.location.href = item.dataset.url; } document.addEventListener("readthedocs-addons-data-ready", function (event) { const config = event.detail.data(); const versionSwitch = document.querySelector( "div.switch-menus > div.version-switch", ); if (themeVersionSelector) { let versions = config.versions.active; if (config.versions.current.hidden || config.versions.current.type === "external") { versions.unshift(config.versions.current); } const versionSelect = ` <select> ${versions .map( (version) => ` <option value="${version.slug}" ${config.versions.current.slug === version.slug ? 'selected="selected"' : ""} data-url="${version.urls.documentation}"> ${version.slug} </option>`, ) .join("\n")} </select> `; versionSwitch.innerHTML = versionSelect; versionSwitch.firstElementChild.addEventListener("change", onSelectorSwitch); } const languageSwitch = document.querySelector( "div.switch-menus > div.language-switch", ); if (themeLanguageSelector) { if (config.projects.translations.length) { // Add the current language to the options on the selector let languages = config.projects.translations.concat( config.projects.current, ); languages = languages.sort((a, b) => a.language.name.localeCompare(b.language.name), ); const languageSelect = ` <select> ${languages .map( (language) => ` <option value="${language.language.code}" ${config.projects.current.slug === language.slug ? 'selected="selected"' : ""} data-url="${language.urls.documentation}"> ${language.language.name} </option>`, ) .join("\n")} </select> `; languageSwitch.innerHTML = languageSelect; languageSwitch.firstElementChild.addEventListener("change", onSelectorSwitch); } else { languageSwitch.remove(); } } }); } document.addEventListener("readthedocs-addons-data-ready", function (event) { // Trigger the Read the Docs Addons Search modal when clicking on "Search docs" input from the topnav. document .querySelector("[role='search'] input") .addEventListener("focusin", () => { const event = new CustomEvent("readthedocs-search-show"); document.dispatchEvent(event); }); });
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@@ -1,13 +1,6 @@/* * language_data.js * ~~~~~~~~~~~~~~~~ * * This script contains the language-specific data used by searchtools.js, * namely the list of stopwords, stemmer, scorer and splitter. * * :copyright: Copyright 2007-2024 by the Sphinx team, see AUTHORS. * :license: BSD, see LICENSE for details. * */ var stopwords = ["a", "and", "are", "as", "at", "be", "but", "by", "for", "if", "in", "into", "is", "it", "near", "no", "not", "of", "on", "or", "such", "that", "the", "their", "then", "there", "these", "they", "this", "to", "was", "will", "with"];
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@@ -1,12 +1,5 @@/* * searchtools.js * ~~~~~~~~~~~~~~~~ * * Sphinx JavaScript utilities for the full-text search. * * :copyright: Copyright 2007-2024 by the Sphinx team, see AUTHORS. * :license: BSD, see LICENSE for details. * */ "use strict";
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@@ -20,7 +13,7 @@ if (typeof Scorer === "undefined") {// and returns the new score. /* score: result => { const [docname, title, anchor, descr, score, filename] = result const [docname, title, anchor, descr, score, filename, kind] = result return score }, */
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@@ -47,6 +40,14 @@ if (typeof Scorer === "undefined") {}; } // Global search result kind enum, used by themes to style search results. class SearchResultKind { static get index() { return "index"; } static get object() { return "object"; } static get text() { return "text"; } static get title() { return "title"; } } const _removeChildren = (element) => { while (element && element.lastChild) element.removeChild(element.lastChild); };
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@@ -64,9 +65,13 @@ const _displayItem = (item, searchTerms, highlightTerms) => {const showSearchSummary = DOCUMENTATION_OPTIONS.SHOW_SEARCH_SUMMARY; const contentRoot = document.documentElement.dataset.content_root; const [docName, title, anchor, descr, score, _filename] = item; const [docName, title, anchor, descr, score, _filename, kind] = item; let listItem = document.createElement("li"); // Add a class representing the item's type: // can be used by a theme's CSS selector for styling // See SearchResultKind for the class names. listItem.classList.add(`kind-${kind}`); let requestUrl; let linkUrl; if (docBuilder === "dirhtml") {
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@@ -115,8 +120,10 @@ const _finishSearch = (resultCount) => {"Your search did not match any documents. Please make sure that all words are spelled correctly and that you've selected enough categories." ); else Search.status.innerText = _( "Search finished, found ${resultCount} page(s) matching the search query." Search.status.innerText = Documentation.ngettext( "Search finished, found one page matching the search query.", "Search finished, found ${resultCount} pages matching the search query.", resultCount, ).replace('${resultCount}', resultCount); }; const _displayNextItem = (
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@@ -138,7 +145,7 @@ const _displayNextItem = (else _finishSearch(resultCount); }; // Helper function used by query() to order search results. // Each input is an array of [docname, title, anchor, descr, score, filename]. // Each input is an array of [docname, title, anchor, descr, score, filename, kind]. // Order the results by score (in opposite order of appearance, since the // `_displayNextItem` function uses pop() to retrieve items) and then alphabetically. const _orderResultsByScoreThenName = (a, b) => {
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@@ -248,6 +255,7 @@ const Search = {searchSummary.classList.add("search-summary"); searchSummary.innerText = ""; const searchList = document.createElement("ul"); searchList.setAttribute("role", "list"); searchList.classList.add("search"); const out = document.getElementById("search-results");
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@@ -318,7 +326,7 @@ const Search = {const indexEntries = Search._index.indexentries; // Collect multiple result groups to be sorted separately and then ordered. // Each is an array of [docname, title, anchor, descr, score, filename]. // Each is an array of [docname, title, anchor, descr, score, filename, kind]. const normalResults = []; const nonMainIndexResults = [];
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@@ -337,6 +345,7 @@ const Search = {null, score + boost, filenames[file], SearchResultKind.title, ]); } }
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@@ -354,6 +363,7 @@ const Search = {null, score, filenames[file], SearchResultKind.index, ]; if (isMain) { normalResults.push(result);
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@@ -475,6 +485,7 @@ const Search = {descr, score, filenames[match[0]], SearchResultKind.object, ]); }; Object.keys(objects).forEach((prefix) =>
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@@ -585,6 +596,7 @@ const Search = {null, score, filenames[file], SearchResultKind.text, ]); } return results;
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@@ -1,3 +1,5 @@<!DOCTYPE html> <html class="writer-html5" lang="en" data-content_root="./"> <head>
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@@ -5,20 +7,16 @@<meta name="viewport" content="width=device-width, initial-scale=1.0" /> <title>Index — Mathematics in Lean 0.1 documentation</title> <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=80d5e7a1" /> <link rel="stylesheet" type="text/css" href="_static/css/theme.css?v=19f00094" /> <link rel="stylesheet" type="text/css" href="_static/css/theme.css?v=e59714d7" /> <link rel="stylesheet" type="text/css" href="_static/css/custom.css?v=0731ccc3" /> <link rel="shortcut icon" href="_static/favicon.ico"/> <!--[if lt IE 9]> <script src="_static/js/html5shiv.min.js"></script> <![endif]--> <script src="_static/jquery.js?v=5d32c60e"></script> <script src="_static/_sphinx_javascript_frameworks_compat.js?v=2cd50e6c"></script> <script src="_static/documentation_options.js?v=2709fde1"></script> <script src="_static/doctools.js?v=9a2dae69"></script> <script src="_static/sphinx_highlight.js?v=dc90522c"></script> <script src="_static/jquery.js?v=5d32c60e"></script> <script src="_static/_sphinx_javascript_frameworks_compat.js?v=2cd50e6c"></script> <script src="_static/documentation_options.js?v=2709fde1"></script> <script src="_static/doctools.js?v=9bcbadda"></script> <script src="_static/sphinx_highlight.js?v=dc90522c"></script> <script src="_static/js/theme.js"></script> <link rel="index" title="Index" href="#" /> <link rel="search" title="Search" href="search.html" />
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@@ -1,3 +1,5 @@<!DOCTYPE html> <html class="writer-html5" lang="en" data-content_root="./"> <head>
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@@ -6,21 +8,17 @@<meta name="viewport" content="width=device-width, initial-scale=1.0" /> <title>Mathematics in Lean — Mathematics in Lean 0.1 documentation</title> <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=80d5e7a1" /> <link rel="stylesheet" type="text/css" href="_static/css/theme.css?v=19f00094" /> <link rel="stylesheet" type="text/css" href="_static/css/theme.css?v=e59714d7" /> <link rel="stylesheet" type="text/css" href="_static/css/custom.css?v=0731ccc3" /> <link rel="shortcut icon" href="_static/favicon.ico"/> <!--[if lt IE 9]> <script src="_static/js/html5shiv.min.js"></script> <![endif]--> <script src="_static/jquery.js?v=5d32c60e"></script> <script src="_static/_sphinx_javascript_frameworks_compat.js?v=2cd50e6c"></script> <script src="_static/documentation_options.js?v=2709fde1"></script> <script src="_static/doctools.js?v=9a2dae69"></script> <script src="_static/sphinx_highlight.js?v=dc90522c"></script> <script async="async" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script> <script src="_static/jquery.js?v=5d32c60e"></script> <script src="_static/_sphinx_javascript_frameworks_compat.js?v=2cd50e6c"></script> <script src="_static/documentation_options.js?v=2709fde1"></script> <script src="_static/doctools.js?v=9bcbadda"></script> <script src="_static/sphinx_highlight.js?v=dc90522c"></script> <script async="async" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script> <script src="_static/js/theme.js"></script> <link rel="index" title="Index" href="genindex.html" /> <link rel="search" title="Search" href="search.html" />
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@@ -1,3 +1,5 @@<!DOCTYPE html> <html class="writer-html5" lang="en" data-content_root="./"> <head>
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@@ -5,21 +7,17 @@<meta name="viewport" content="width=device-width, initial-scale=1.0" /> <title>Search — Mathematics in Lean 0.1 documentation</title> <link rel="stylesheet" type="text/css" href="_static/pygments.css?v=80d5e7a1" /> <link rel="stylesheet" type="text/css" href="_static/css/theme.css?v=19f00094" /> <link rel="stylesheet" type="text/css" href="_static/css/theme.css?v=e59714d7" /> <link rel="stylesheet" type="text/css" href="_static/css/custom.css?v=0731ccc3" /> <link rel="shortcut icon" href="_static/favicon.ico"/> <!--[if lt IE 9]> <script src="_static/js/html5shiv.min.js"></script> <![endif]--> <script src="_static/jquery.js?v=5d32c60e"></script> <script src="_static/_sphinx_javascript_frameworks_compat.js?v=2cd50e6c"></script> <script src="_static/documentation_options.js?v=2709fde1"></script> <script src="_static/doctools.js?v=9a2dae69"></script> <script src="_static/sphinx_highlight.js?v=dc90522c"></script> <script src="_static/jquery.js?v=5d32c60e"></script> <script src="_static/_sphinx_javascript_frameworks_compat.js?v=2cd50e6c"></script> <script src="_static/documentation_options.js?v=2709fde1"></script> <script src="_static/doctools.js?v=9bcbadda"></script> <script src="_static/sphinx_highlight.js?v=dc90522c"></script> <script src="_static/js/theme.js"></script> <script src="_static/searchtools.js"></script> <script src="_static/language_data.js"></script>
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