1 files changed, 0 insertions, 402 deletions
diff --git a/logic/n4.lyx b/logic/n4.lyx
deleted file mode 100644
index 3796419..0000000
--- a/logic/n4.lyx
+++ /dev/null
@@ -1,402 +0,0 @@
-#LyX 2.3 created this file. For more info see http://www.lyx.org/
-\lyxformat 544
-\begin_document
-\begin_header
-\save_transient_properties true
-\origin unavailable
-\textclass book
-\use_default_options true
-\maintain_unincluded_children false
-\language spanish
-\language_package default
-\inputencoding auto
-\fontencoding global
-\font_roman "default" "default"
-\font_sans "default" "default"
-\font_typewriter "default" "default"
-\font_math "auto" "auto"
-\font_default_family default
-\use_non_tex_fonts false
-\font_sc false
-\font_osf false
-\font_sf_scale 100 100
-\font_tt_scale 100 100
-\use_microtype false
-\use_dash_ligatures true
-\graphics default
-\default_output_format default
-\output_sync 0
-\bibtex_command default
-\index_command default
-\paperfontsize default
-\spacing single
-\use_hyperref false
-\papersize default
-\use_geometry false
-\use_package amsmath 1
-\use_package amssymb 1
-\use_package cancel 1
-\use_package esint 1
-\use_package mathdots 1
-\use_package mathtools 1
-\use_package mhchem 1
-\use_package stackrel 1
-\use_package stmaryrd 1
-\use_package undertilde 1
-\cite_engine basic
-\cite_engine_type default
-\biblio_style plain
-\use_bibtopic false
-\use_indices false
-\paperorientation portrait
-\suppress_date false
-\justification true
-\use_refstyle 1
-\use_minted 0
-\index Index
-\shortcut idx
-\color #008000
-\end_index
-\secnumdepth 3
-\tocdepth 3
-\paragraph_separation indent
-\paragraph_indentation default
-\is_math_indent 0
-\math_numbering_side default
-\quotes_style swiss
-\dynamic_quotes 0
-\papercolumns 1
-\papersides 1
-\paperpagestyle default
-\tracking_changes false
-\output_changes false
-\html_math_output 0
-\html_css_as_file 0
-\html_be_strict false
-\end_header
-
-\begin_body
-
-\begin_layout Standard
-Las expresiones, numeradas, están dentro de una caja, que se representa
- con los tres bordes de arriba, abajo y a la izquierda (a la derecha del
- número de línea).
- La caja principal no se suele representar.
- Si se usa una 
-\emph on
-Hipótesis
-\emph default
-, se crea una nueva caja (dentro de otra), y en cada caja las 
-\emph on
-Premisas
-\emph default
- o 
-\emph on
-Hipótesis
-\emph default
- van al principio y la última línea es la conclusión.
- Cada caja representa una deducción (
-\begin_inset Formula $\vdash$
-\end_inset
-
-).
-\end_layout
-
-\begin_layout Section
-Reglas
-\end_layout
-
-\begin_layout Standard
-\align center
-\begin_inset Tabular
-<lyxtabular version="3" rows="8" columns="3">
-<features tabularvalignment="middle">
-<column alignment="center" valignment="top">
-<column alignment="center" valignment="top">
-<column alignment="center" valignment="top">
-<row>
-<cell alignment="center" valignment="top" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-Eliminación de
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-Introducción de
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-la conjunción
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $E_{\land}:\frac{\vdash\alpha\land\beta}{\vdash\alpha},\frac{\vdash\alpha\land\beta}{\vdash\beta}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $I_{\land}:\frac{\vdash\alpha\,\vdash\beta}{\vdash\alpha\land\beta}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-la disyunción
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\underset{\text{Prueba por casos}}{E_{\lor}:\frac{\vdash\alpha\lor\beta\,\vdash(\alpha\vdash\gamma)\,\vdash(\beta\vdash\gamma)}{\vdash\gamma}}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $I_{\lor}:\frac{\vdash\alpha}{\vdash\alpha\lor\beta},\frac{\vdash\alpha}{\vdash\beta\lor\alpha}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-la implicación
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\underset{\text{Modus Ponens}}{E_{\rightarrow}:\frac{\vdash\alpha\rightarrow\beta\,\vdash\alpha}{\vdash\beta}}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\underset{\text{Teorema de la Deducción}}{I_{\rightarrow}:\frac{\vdash(\alpha\vdash\beta)}{\vdash\alpha\rightarrow\beta}}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-la doble implicación
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $E_{\leftrightarrow}:\frac{\vdash(\alpha\leftrightarrow\beta)}{\vdash(\alpha\rightarrow\beta)},\frac{\vdash(\alpha\leftrightarrow\beta)}{\vdash(\beta\rightarrow\alpha)}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $I_{\leftrightarrow}:\frac{\vdash(\alpha\rightarrow\beta)\,\vdash(\beta\rightarrow\alpha)}{\vdash(\alpha\leftrightarrow\beta)}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-la negación
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\underset{\text{Reducción al absurdo}}{E_{\neg}:\frac{\vdash(\neg\alpha\vdash\beta\land\neg\beta)}{\vdash\alpha}}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $\underset{\text{Reducción al absurdo}}{I_{\neg}:\frac{\vdash(\alpha\vdash\beta\land\neg\beta)}{\vdash\neg\alpha}}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-la doble negación
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $E_{\neg\neg}:\frac{\vdash\neg\neg\alpha}{\vdash\alpha}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-<row>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-la contradicción
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-\begin_inset Formula $CONTRA:\frac{\vdash\alpha\,\vdash\neg\alpha}{\vdash\beta}$
-\end_inset
-
-
-\end_layout
-
-\end_inset
-</cell>
-<cell alignment="center" valignment="top" leftline="true" usebox="none">
-\begin_inset Text
-
-\begin_layout Plain Layout
-
-\end_layout
-
-\end_inset
-</cell>
-</row>
-</lyxtabular>
-
-\end_inset
-
-
-\end_layout
-
-\begin_layout Standard
-También la iteración: 
-\begin_inset Formula $IT:\frac{\vdash\alpha}{\vdash\alpha}$
-\end_inset
-
-, que se usa cuando la hipótesis de una caja es la conclusión, dado que
- deben estar en líneas distintas.
-\end_layout
-
-\end_body
-\end_document