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authoradelon <22380201+adelon@users.noreply.github.com>2025-07-02 20:28:22 +0200
committerGitHub <noreply@github.com>2025-07-02 20:28:22 +0200
commit793849dd0b20bc70ea0e0ecfd5008a3806eca0d9 (patch)
tree280949f358a695c5471212cc5b22950399d8cd57 /library/set.tex
parent3caadfbe0fdb417b8edebc17002ddafe795a4bcc (diff)
parent8fd49ae84e8cc4524c19b20fa0aabb4e77a46cd5 (diff)
Merge pull request #2 from Simon-Kor/main
Merge (finally)
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@@ -654,6 +654,9 @@ The $\operatorname{\textsf{cons}}$ operation is determined by the following axio
Suppose $(A\inter B)\union C = A\inter (B\union C)$.
Then $C\subseteq A$.
\end{proposition}
+\begin{proof}
+ Follows by \cref{union_upper_right,union_upper_left,subseteq_union_iff,subseteq_antisymmetric,subseteq_inter_iff}.
+\end{proof}
% From Isabelle/ZF equalities theory
\begin{proposition}\label{union_inter_crazy}