diff --git a/semester4/Proof/main.pdf b/semester4/Proof/main.pdf new file mode 100644 index 0000000..01bccf5 Binary files /dev/null and b/semester4/Proof/main.pdf differ diff --git a/semester4/Proof/main.tex b/semester4/Proof/main.tex new file mode 100644 index 0000000..7acacfa --- /dev/null +++ b/semester4/Proof/main.tex @@ -0,0 +1,25 @@ +\documentclass{article} +\usepackage{fontspec} +\usepackage{amsmath} +\setmainfont[Mapping=tex-text,Ligatures=TeX]{CMU Serif} +\usepackage[left=10mm, top=10mm, right=10mm, bottom=10mm, nohead, nofoot]{geometry} + +\date{} +\newtheorem{problem}{Задача} + +\title{Proof} + +\begin{document} +\maketitle +\begin{problem} +Доказать, что S K K = I +\end{problem} + +\Large +\noindent +S K K = (λ.xyz.xz(yz))(λxy.x)(λxy.x) $\underset{\beta}{\longrightarrow}$ \\ +$\underset{\beta}{\longrightarrow}$ (λyz.(λxy.x)z(yz))(λxy.x) $\underset{\beta}{\longrightarrow}$ \\ +$\underset{\beta}{\longrightarrow}$ (λyz.(λy.z)(yz))(λxy.x) $\underset{\beta}{\longrightarrow}$ \\ +$\underset{\beta}{\longrightarrow}$ (λyz.z)(λxy.x) $\underset{\beta}{\longrightarrow}$ \\ +$\underset{\beta}{\longrightarrow}$ (λz.z) = I +\end{document} \ No newline at end of file