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Permanent conjecture (#76)
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* add lean statement
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mo271 authored Nov 12, 2024
1 parent 18cf480 commit 9f0b5c0
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1 change: 1 addition & 0 deletions blueprint/lean_decls
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Expand Up @@ -44,6 +44,7 @@ harmonic_geometric_arithmetic₂
harmonic_geometric_arithmetic₃
mantel
fundamental_theorem_of_algebra
Matrix.permanent_conjecture
chapter28.pigeon_hole_principle
chapter28.handshaking
chapter44.friendship_theorem
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1 change: 1 addition & 0 deletions blueprint/src/chapter/chapter24.tex
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Expand Up @@ -2,6 +2,7 @@ \chapter{Van der Waerden's permanent conjecture}

\begin{theorem}
\label{vanderwaerden}
\lean{Matrix.permanent_conjecture}
Let $M = (m_{ij})$ be a doubly stochastic $n \times n$ matrix.
Then
\[\per M \ge \frac{n!}{n^n}\]
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