{"id":7376,"date":"2020-09-16T14:04:11","date_gmt":"2020-09-16T12:04:11","guid":{"rendered":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/?p=7376"},"modified":"2020-09-16T14:04:11","modified_gmt":"2020-09-16T12:04:11","slug":"formatus-pruebas-en-lean-de-la-regla-de-introduccion-de-la-doble-negacion","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/formatus-pruebas-en-lean-de-la-regla-de-introduccion-de-la-doble-negacion\/","title":{"rendered":"ForMatUS: Pruebas en Lean de la regla de introducci\u00f3n de la doble negaci\u00f3n"},"content":{"rendered":"<p>He a\u00f1adido a la lista <a href=\"https:\/\/bit.ly\/2FcUrwQ\">L\u00f3gica con Lean<\/a> el v\u00eddeo <a href=\"https:\/\/youtu.be\/F2UbA4n7XkU\">Pruebas en Lean de la regla de introducci\u00f3n de la doble negaci\u00f3n<\/a><\/p>\n<blockquote><p>\n  P \u22a2 \u00ac\u00acP\n<\/p><\/blockquote>\n<p>en el que se comentan 9 pruebas en Lean de la regla de introducci\u00f3n de la doble negaci\u00f3n usando los estilos declarativos, aplicativos, funcional y autom\u00e1tico.<\/p>\n<p>A continuaci\u00f3n, se muestra el v\u00eddeo<\/p>\n<p><iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/F2UbA4n7XkU\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p>y el c\u00f3digo de la teor\u00eda utilizada<\/p>\n<pre lang=\"lean\">\n-- Regla de introducci\u00f3n de la doble negaci\u00f3n\n-- ==========================================\n\n-- Ej. 1. Demostrar\n--    P \u22a2 \u00ac\u00acP\n\nimport tactic\nvariable (P : Prop)\n\n-- 1\u00aa demostraci\u00f3n\nexample\n  (h1 : P)\n  : \u00ac\u00acP :=\nnot.intro \n  ( assume h2: \u00acP,\n    show false, \n      from h2 h1)\n  \n-- 2\u00aa demostraci\u00f3n\nexample\n  (h1 : P)\n  : \u00ac\u00acP :=\nassume h2: \u00acP,\nshow false,\n  from h2 h1\n\n-- 3\u00aa demostraci\u00f3n\nexample\n  (h1 : P)\n  : \u00ac\u00acP :=\nassume h2: \u00acP, h2 h1\n\n-- 4\u00aa demostraci\u00f3n\nexample\n  (h1 : P)\n  : \u00ac\u00acP :=\n\u03bb h2, h2 h1\n\n-- 5\u00aa demostraci\u00f3n\nexample\n  (h1 : P)\n  : \u00ac\u00acP :=\nnot_not.mpr h1\n\n-- 6\u00aa demostraci\u00f3n\nexample\n  (h1 : P)\n  : \u00ac\u00acP :=\nnot_not_intro h1\n\n-- 7\u00aa demostraci\u00f3n\nexample\n  (h1 : P)\n  : \u00ac\u00acP :=\nbegin\n  intro h2,\n  exact h2 h1,\nend\n\n-- 8\u00aa demostraci\u00f3n\nexample\n  (h1 : P)\n  : \u00ac\u00acP :=\nby tauto\n\n-- 9\u00aa demostraci\u00f3n\nexample\n  (h1 : P)\n  : \u00ac\u00acP :=\nby finish\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>He a\u00f1adido a la lista L\u00f3gica con Lean el v\u00eddeo Pruebas en Lean de la regla de introducci\u00f3n de la doble negaci\u00f3n P \u22a2 \u00ac\u00acP en el que se comentan 9 pruebas en Lean de la regla de introducci\u00f3n de la doble negaci\u00f3n usando los estilos declarativos, aplicativos, funcional y autom\u00e1tico. A continuaci\u00f3n, se muestra&#8230;<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"footnotes":"","_jetpack_memberships_contains_paid_content":false},"categories":[335],"tags":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_likes_enabled":false,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/7376"}],"collection":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/comments?post=7376"}],"version-history":[{"count":1,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/7376\/revisions"}],"predecessor-version":[{"id":7377,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/posts\/7376\/revisions\/7377"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/media?parent=7376"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/categories?post=7376"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/vestigium\/wp-json\/wp\/v2\/tags?post=7376"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}