BranchesTags

Repository files navigation

The Mechanics of Proof

This repository contains the Lean code for the book The Mechanics of Proof, by Heather Macbeth, developed for the course Math 2001 at Fordham University.

The Lean files corresponding to each chapter of the book are in the folder Math2001.

You can run the code on the web using Gitpod, by clicking this link:

Open in Gitpod

(You will be prompted to make an account, if you do not yet have one -- the free tier offers 50 hours of use per month.) This is the easiest way to get started if you have never used Lean before. You can accept the default "New Workspace" options and hit the "continue" button, then it will take about five minutes to load up a new workspace and auto-install the Lean mathematical library (wait for all the "cloning", "building", "compiling", "downloading" and "decompressing" steps to finish). The workspace you just created will be accessible later from your Gitpod user page.

You can also install Lean to your own computer, then clone this repository to your computer by typing git clone https://github.com/hrmacbeth/math2001.git at the command line. This will let you run the code on your computer.

About

Lecture notes for a course on writing proofs, on paper and in the Lean proof assistant

Topics

lean4

Resources

Readme
Activity

Stars

362 stars

Watchers

5 watching

Forks

189 forks
Report repository

Releases

Packages

Used by

Contributors

Languages

, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Add copy buttons to all 
 blocks\n(function() {\n function addCopyButtons() {\n document.querySelectorAll('pre code').forEach(function(codeBlock) {\n if (codeBlock.parentElement.hasAttribute('data-copy-added')) return;\n codeBlock.parentElement.setAttribute('data-copy-added', 'true');\n \n var btn = document.createElement('button');\n btn.textContent = 'Copy';\n btn.style.cssText = 'position:absolute;top:4px;right:4px;padding:2px 8px;font-size:11px;background:#4ecdc4;border:none;border-radius:4px;color:#1a1a2e;cursor:pointer;opacity:0.7;transition:opacity 0.2s;';\n btn.onmouseover = function() { this.style.opacity = '1'; };\n btn.onmouseout = function() { this.style.opacity = '0.7'; };\n btn.onclick = function() {\n navigator.clipboard.writeText(codeBlock.textContent).then(function() {\n btn.textContent = 'Copied!';\n setTimeout(function() { btn.textContent = 'Copy'; }, 1500);\n });\n };\n codeBlock.parentElement.style.position = 'relative';\n codeBlock.parentElement.appendChild(btn);\n });\n }\n \n addCopyButtons();\n \n // Re-run on dynamic content\n var observer = new MutationObserver(addCopyButtons);\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Add Copy Buttons to Code Blocks");
}
} catch(__e) { console.warn('[Userscript:Add Copy Buttons to Code Blocks]', __e); }
})();
(function(){
try {
var __m = "github.com";
var __re = new RegExp('^' + "github\\.com" + '

Skip to content
BranchesTags
Repository files navigation
The Mechanics of Proof
This repository contains the Lean code for the book The Mechanics of Proof, by Heather Macbeth, developed for the course Math 2001 at Fordham University.
The Lean files corresponding to each chapter of the book are in the folder Math2001.
You can run the code on the web using Gitpod, by clicking this link:
Open in Gitpod
(You will be prompted to make an account, if you do not yet have one -- the free tier offers 50 hours of use per month.) This is the easiest way to get started if you have never used Lean before. You can accept the default "New Workspace" options and hit the "continue" button, then it will take about five minutes to load up a new workspace and auto-install the Lean mathematical library (wait for all the "cloning", "building", "compiling", "downloading" and "decompressing" steps to finish). The workspace you just created will be accessible later from your Gitpod user page.
You can also install Lean to your own computer, then clone this repository to your computer by typing git clone https://github.com/hrmacbeth/math2001.git at the command line. This will let you run the code on your computer.
About
Lecture notes for a course on writing proofs, on paper and in the Lean proof assistant
Topics
lean4
Resources
Readme
Activity
Stars
362 stars
Watchers
5 watching
Forks
189 forks
Report repository
Releases
Packages
Used by
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Force GitHub README to respect dark mode\n(function() {\n var style = document.createElement('style');\n style.textContent = '\n .markdown-body {\n color-scheme: dark light;\n }\n .markdown-body pre { background: #161b22 !important; }\n .markdown-body code { background: rgba(110, 118, 129, 0.4) !important; }\n .markdown-body table th, .markdown-body table td { border-color: #30363d !important; }\n .markdown-body img { background: #0d1117; }\n .markdown-body blockquote { border-left-color: #8b949e; }\n .markdown-body hr { border-color: #30363d; }\n ';\n document.head.appendChild(style);\n})();", "GitHub Dark Mode README Fix");
}
} catch(__e) { console.warn('[Userscript:GitHub Dark Mode README Fix]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
Repository files navigation
The Mechanics of Proof
This repository contains the Lean code for the book The Mechanics of Proof, by Heather Macbeth, developed for the course Math 2001 at Fordham University.
The Lean files corresponding to each chapter of the book are in the folder Math2001.
You can run the code on the web using Gitpod, by clicking this link:
Open in Gitpod
(You will be prompted to make an account, if you do not yet have one -- the free tier offers 50 hours of use per month.) This is the easiest way to get started if you have never used Lean before. You can accept the default "New Workspace" options and hit the "continue" button, then it will take about five minutes to load up a new workspace and auto-install the Lean mathematical library (wait for all the "cloning", "building", "compiling", "downloading" and "decompressing" steps to finish). The workspace you just created will be accessible later from your Gitpod user page.
You can also install Lean to your own computer, then clone this repository to your computer by typing git clone https://github.com/hrmacbeth/math2001.git at the command line. This will let you run the code on your computer.
About
Lecture notes for a course on writing proofs, on paper and in the Lean proof assistant
Topics
lean4
Resources
Readme
Activity
Stars
362 stars
Watchers
5 watching
Forks
189 forks
Report repository
Releases
Packages
Used by
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Highlight search terms from Google/DuckDuckGo/Bing referrer\n(function() {\n var ref = document.referrer;\n var terms = [];\n \n if (ref.includes('google.com') || ref.includes('duckduckgo.com') || ref.includes('bing.com')) {\n var url = new URL(ref);\n var q = url.searchParams.get('q') || url.searchParams.get('p');\n if (q) {\n terms = q.split(/\\s+/).filter(function(t) { return t.length > 2; });\n }\n }\n \n if (terms.length === 0) return;\n \n var style = document.createElement('style');\n style.textContent = '.userscript-highlight { background: #fbbf24; color: #1a1a2e; padding: 1px 3px; border-radius: 2px; }';\n document.head.appendChild(style);\n \n function highlight(node) {\n if (node.nodeType === 3) { // text node\n var text = node.textContent;\n var found = false;\n terms.forEach(function(term) {\n var regex = new RegExp('(' + term.replace(/[.*+?^${}()|[\\]\\\\]/g, '\\\\') + ')', 'gi');\n if (regex.test(text)) {\n found = true;\n var frag = document.createDocumentFragment();\n var parts = text.split(regex);\n parts.forEach(function(part, i) {\n if (i % 2 === 0) {\n frag.appendChild(document.createTextNode(part));\n } else {\n var span = document.createElement('span');\n span.className = 'userscript-highlight';\n span.textContent = part;\n frag.appendChild(span);\n }\n });\n node.parentNode.replaceChild(frag, node);\n }\n });\n } else if (node.nodeType === 1 && node.childNodes) { // element\n var skipTags = ['SCRIPT', 'STYLE', 'NOSCRIPT', 'TEXTAREA', 'INPUT', 'SELECT'];\n if (!skipTags.includes(node.tagName)) {\n Array.from(node.childNodes).forEach(highlight);\n }\n }\n }\n \n highlight(document.body);\n \n // Re-highlight on dynamic content\n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1 || node.nodeType === 3) highlight(node);\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Highlight Search Terms");
}
} catch(__e) { console.warn('[Userscript:Highlight Search Terms]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
Repository files navigation
The Mechanics of Proof
This repository contains the Lean code for the book The Mechanics of Proof, by Heather Macbeth, developed for the course Math 2001 at Fordham University.
The Lean files corresponding to each chapter of the book are in the folder Math2001.
You can run the code on the web using Gitpod, by clicking this link:
Open in Gitpod
(You will be prompted to make an account, if you do not yet have one -- the free tier offers 50 hours of use per month.) This is the easiest way to get started if you have never used Lean before. You can accept the default "New Workspace" options and hit the "continue" button, then it will take about five minutes to load up a new workspace and auto-install the Lean mathematical library (wait for all the "cloning", "building", "compiling", "downloading" and "decompressing" steps to finish). The workspace you just created will be accessible later from your Gitpod user page.
You can also install Lean to your own computer, then clone this repository to your computer by typing git clone https://github.com/hrmacbeth/math2001.git at the command line. This will let you run the code on your computer.
About
Lecture notes for a course on writing proofs, on paper and in the Lean proof assistant
Topics
lean4
Resources
Readme
Activity
Stars
362 stars
Watchers
5 watching
Forks
189 forks
Report repository
Releases
Packages
Used by
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Strip utm_, fbclid, gclid, etc. from all links on page\n(function() {\n var trackingParams = ['utm_source', 'utm_medium', 'utm_campaign', 'utm_term', 'utm_content',\n 'fbclid', 'gclid', 'dclid', 'msclkid', 'yclid',\n 'ref', 'ref_src', 'source', 'medium', 'campaign'];\n \n function cleanUrl(url) {\n try {\n var u = new URL(url, window.location.origin);\n var changed = false;\n trackingParams.forEach(function(p) {\n if (u.searchParams.has(p)) {\n u.searchParams.delete(p);\n changed = true;\n }\n });\n return changed ? u.toString() : url;\n } catch (e) {\n return url;\n }\n }\n \n function cleanLinks() {\n document.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n \n cleanLinks();\n \n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1) {\n if (node.tagName === 'A') cleanLinks();\n node.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Remove Tracking Parameters from Links");
}
} catch(__e) { console.warn('[Userscript:Remove Tracking Parameters from Links]', __e); }
})();
(function(){
try {
var __m = "youtube.com";
var __re = new RegExp('^' + "youtube\\.com" + '

Skip to content
BranchesTags
Repository files navigation
The Mechanics of Proof
This repository contains the Lean code for the book The Mechanics of Proof, by Heather Macbeth, developed for the course Math 2001 at Fordham University.
The Lean files corresponding to each chapter of the book are in the folder Math2001.
You can run the code on the web using Gitpod, by clicking this link:
Open in Gitpod
(You will be prompted to make an account, if you do not yet have one -- the free tier offers 50 hours of use per month.) This is the easiest way to get started if you have never used Lean before. You can accept the default "New Workspace" options and hit the "continue" button, then it will take about five minutes to load up a new workspace and auto-install the Lean mathematical library (wait for all the "cloning", "building", "compiling", "downloading" and "decompressing" steps to finish). The workspace you just created will be accessible later from your Gitpod user page.
You can also install Lean to your own computer, then clone this repository to your computer by typing git clone https://github.com/hrmacbeth/math2001.git at the command line. This will let you run the code on your computer.
About
Lecture notes for a course on writing proofs, on paper and in the Lean proof assistant
Topics
lean4
Resources
Readme
Activity
Stars
362 stars
Watchers
5 watching
Forks
189 forks
Report repository
Releases
Packages
Used by
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Auto-enable theater mode on YouTube\n(function() {\n function tryTheater() {\n var btn = document.querySelector('button[aria-label=\"Theater mode\"], ytd-player #player button[title=\"Theater mode\"]');\n if (btn && !btn.classList.contains('activated')) {\n btn.click();\n }\n }\n \n // Try immediately\n tryTheater();\n \n // Try after navigation (SPA)\n var lastUrl = location.href;\n setInterval(function() {\n if (location.href !== lastUrl) {\n lastUrl = location.href;\n setTimeout(tryTheater, 500);\n }\n }, 1000);\n \n // Also try on player load\n var observer = new MutationObserver(tryTheater);\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "YouTube Theater Mode Default");
}
} catch(__e) { console.warn('[Userscript:YouTube Theater Mode Default]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
Repository files navigation
The Mechanics of Proof
This repository contains the Lean code for the book The Mechanics of Proof, by Heather Macbeth, developed for the course Math 2001 at Fordham University.
The Lean files corresponding to each chapter of the book are in the folder Math2001.
You can run the code on the web using Gitpod, by clicking this link:
Open in Gitpod
(You will be prompted to make an account, if you do not yet have one -- the free tier offers 50 hours of use per month.) This is the easiest way to get started if you have never used Lean before. You can accept the default "New Workspace" options and hit the "continue" button, then it will take about five minutes to load up a new workspace and auto-install the Lean mathematical library (wait for all the "cloning", "building", "compiling", "downloading" and "decompressing" steps to finish). The workspace you just created will be accessible later from your Gitpod user page.
You can also install Lean to your own computer, then clone this repository to your computer by typing git clone https://github.com/hrmacbeth/math2001.git at the command line. This will let you run the code on your computer.
About
Lecture notes for a course on writing proofs, on paper and in the Lean proof assistant
Topics
lean4
Resources
Readme
Activity
Stars
362 stars
Watchers
5 watching
Forks
189 forks
Report repository
Releases
Packages
Used by
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Remove or un-stick sticky/fixed headers that block content\n(function() {\n function unstick() {\n document.querySelectorAll('header, nav, [role=\"banner\"], .header, .navbar, .sticky, .fixed-top, [style*=\"position: fixed\"], [style*=\"position:sticky\"]').forEach(function(el) {\n if (el.style.position === 'fixed' || el.style.position === 'sticky' || \n getComputedStyle(el).position === 'fixed' || getComputedStyle(el).position === 'sticky') {\n el.style.position = 'static';\n el.style.top = 'auto';\n el.style.zIndex = 'auto';\n }\n });\n }\n \n unstick();\n \n var observer = new MutationObserver(unstick);\n observer.observe(document.body, { childList: true, subtree: true, attributes: true, attributeFilter: ['style', 'class'] });\n})();", "Kill Sticky Headers");
}
} catch(__e) { console.warn('[Userscript:Kill Sticky Headers]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
Repository files navigation
The Mechanics of Proof
This repository contains the Lean code for the book The Mechanics of Proof, by Heather Macbeth, developed for the course Math 2001 at Fordham University.
The Lean files corresponding to each chapter of the book are in the folder Math2001.
You can run the code on the web using Gitpod, by clicking this link:
Open in Gitpod
(You will be prompted to make an account, if you do not yet have one -- the free tier offers 50 hours of use per month.) This is the easiest way to get started if you have never used Lean before. You can accept the default "New Workspace" options and hit the "continue" button, then it will take about five minutes to load up a new workspace and auto-install the Lean mathematical library (wait for all the "cloning", "building", "compiling", "downloading" and "decompressing" steps to finish). The workspace you just created will be accessible later from your Gitpod user page.
You can also install Lean to your own computer, then clone this repository to your computer by typing git clone https://github.com/hrmacbeth/math2001.git at the command line. This will let you run the code on your computer.
About
Lecture notes for a course on writing proofs, on paper and in the Lean proof assistant
Topics
lean4
Resources
Readme
Activity
Stars
362 stars
Watchers
5 watching
Forks
189 forks
Report repository
Releases
Packages
Used by
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Universal Dark Mode - works on any site\n(function() {\n var enabled = true;\n \n function applyDarkMode() {\n if (!enabled) return;\n \n // Create style element if it doesn't exist\n var style = document.getElementById('universal-dark-mode-style');\n if (!style) {\n style = document.createElement('style');\n style.id = 'universal-dark-mode-style';\n document.head.appendChild(style);\n }\n \n // Dark mode CSS - inverts colors but preserves images/video\n style.textContent = '\n /* Invert everything except media */\n html {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #1a1a2e !important;\n }\n \n /* Restore images, videos, iframes, canvas */\n img, video, iframe, canvas, svg, picture, [style*=\"background-image\"] {\n filter: invert(1) hue-rotate(180deg) !important;\n }\n \n /* Preserve specific elements that should not be inverted */\n .no-dark-mode, .no-dark-mode *,\n [data-theme=\"light\"], [data-theme=\"light\"],\n .ace_editor, .ace_editor *,\n .CodeMirror, .CodeMirror *,\n .monaco-editor, .monaco-editor *,\n .markdown-body pre, .markdown-body pre *,\n .highlight, .highlight *,\n pre code, pre code * {\n filter: none !important;\n }\n \n /* Fix common UI elements */\n .modal, .popup, .dropdown-menu, .tooltip, .popover {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #2d2d44 !important;\n border-color: #444 !important;\n }\n \n /* Scrollbars */\n ::-webkit-scrollbar { background: #1a1a2e !important; }\n ::-webkit-scrollbar-thumb { background: #444 !important; }\n ::-webkit-scrollbar-thumb:hover { background: #555 !important; }\n \n /* Selection */\n ::selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ::-moz-selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ';\n }\n \n function removeDarkMode() {\n var style = document.getElementById('universal-dark-mode-style');\n if (style) style.remove();\n }\n \n // Toggle with Alt+Shift+D\n document.addEventListener('keydown', function(e) {\n if (e.altKey && e.shiftKey && e.key === 'D') {\n e.preventDefault();\n enabled = !enabled;\n if (enabled) {\n applyDarkMode();\n console.log('[Universal Dark Mode] Enabled');\n } else {\n removeDarkMode();\n console.log('[Universal Dark Mode] Disabled');\n }\n }\n });\n \n // Apply on load\n applyDarkMode();\n \n // Re-apply on dynamic content\n var observer = new MutationObserver(function(mutations) {\n if (enabled && !document.getElementById('universal-dark-mode-style')) {\n applyDarkMode();\n }\n });\n observer.observe(document.head, { childList: true });\n \n console.log('[Universal Dark Mode] Loaded - Press Alt+Shift+D to toggle');\n})();", "Universal Dark Mode");
}
} catch(__e) { console.warn('[Userscript:Universal Dark Mode]', __e); }
})();
})();

Skip to content
BranchesTags
Repository files navigation
The Mechanics of Proof
This repository contains the Lean code for the book The Mechanics of Proof, by Heather Macbeth, developed for the course Math 2001 at Fordham University.
The Lean files corresponding to each chapter of the book are in the folder Math2001.
You can run the code on the web using Gitpod, by clicking this link:
Open in Gitpod
(You will be prompted to make an account, if you do not yet have one -- the free tier offers 50 hours of use per month.) This is the easiest way to get started if you have never used Lean before. You can accept the default "New Workspace" options and hit the "continue" button, then it will take about five minutes to load up a new workspace and auto-install the Lean mathematical library (wait for all the "cloning", "building", "compiling", "downloading" and "decompressing" steps to finish). The workspace you just created will be accessible later from your Gitpod user page.
You can also install Lean to your own computer, then clone this repository to your computer by typing git clone https://github.com/hrmacbeth/math2001.git at the command line. This will let you run the code on your computer.
About
Lecture notes for a course on writing proofs, on paper and in the Lean proof assistant
Topics
lean4
Resources
Readme
Activity
Stars
362 stars
Watchers
5 watching
Forks
189 forks
Report repository
Releases
Packages
Used by
Contributors
Languages