// Numbas version: exam_results_page_options
{"name": "CSS Lemma environment", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"showQuestionGroupNames": false, "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {}, "parts": [{"type": "information", "scripts": {}, "marks": 0, "showCorrectAnswer": true}], "variable_groups": [], "ungrouped_variables": [], "name": "CSS Lemma environment", "rulesets": {}, "metadata": {"description": "<p>Defines a CSS class in the preamble which styles the \"Lemma\" environment, used in the statement.</p>", "licence": "Creative Commons Attribution 4.0 International", "notes": ""}, "tags": ["demo"], "type": "question", "preamble": {"js": "", "css": ".lemma:before {\n  content: 'Lemma';\n  font-size: 1.25em;\n  font-weight: bold;\n}\n.lemma > * {\n  font-style: italic;\n  font-family: serif;\n  margin-left: 1em;\n}"}, "functions": {}, "advice": "", "question_groups": [{"pickingStrategy": "all-ordered", "questions": [], "name": "", "pickQuestions": 0}], "statement": "<p>The following lemmas are styled using the CSS preamble.</p>\n<div class=\"lemma\">\n<p>Let $p$ be a prime number, and assume $p$ divides the product of two integers $a$ and $b$.<br/>Then $p|a$ or $p|b$ (or both).</p>\n</div>\n<div class=\"lemma\">\n<p>Let $D = \\{z : |z| \\lt 1\\}$ be the open unit disk in the complex plane $\\mathbb{C}$ centered at the origin and let $f : D \\to D$ be a holomorphic map such that $f(0) = 0$.</p>\n<p>Then, $|f(z)| \\leq |z|$ for all $z$ in $D$ and $|f'(0)| \\leq 1$.</p>\n<p>Moreover, if $|f(z)| = |z|$ for some non-zero $z$ or $|f'(0)| = 1$, then $f(z) = az$ for some $a$ in $\\mathbb{C}$ with $|a| = 1$.</p>\n</div>", "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}]}