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Theorems · Theorem · combinatorics

Matrix.IsAdjMatrix.toGraph_adj

∀ {α : Type u_1} {V : Type u_2} {A : Matrix V V α} [inst : MulZeroOneClass α] [inst_1 : Nontrivial α]
  (h : A.IsAdjMatrix) (i j : V), h.toGraph.Adj i j = (A i j = 1)
Defined in
Mathlib.Combinatorics.SimpleGraph.AdjMatrix
Cited by
3 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Quot.sound
Assumes
MulZeroOneClassNontrivial
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SimpleGraph.toGraph_adjMatrix_eq · cited by 0SimpleGraph.toGraph_adjMa…Matrix.IsAdjMatrix.adjMatrix_toGraph_eq · cited by 0IsAdjMatrix.adjMatrix_toG…Matrix.IsAdjMatrix.toGraph_compl_eq · cited by 0IsAdjMatrix.toGraph_compl…Matrix · cited by 4303MatrixNontrivial · cited by 2416NontrivialSimpleGraph.Adj · cited by 1346SimpleGraph.AdjMulZeroOneClass · cited by 184MulZeroOneClassMatrix.IsAdjMatrix · cited by 28Matrix.IsAdjMatrixMatrix.IsAdjMatrix.toGraph · cited by 9IsAdjMatrix.toGraphIsAdjMatrix.toGraph_adjCITED BYCITES

Cites6

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Cited by3

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