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Theorems · Theorem · combinatorics

Matrix.IsAdjMatrix.zero_or_one

∀ {α : Type u_1} {V : Type u_2} [inst : Zero α] [inst_1 : One α] {A : Matrix V V α},
  A.IsAdjMatrix → ∀ (i j : V), A i j = 0 ∨ A i j = 1
Defined in
Mathlib.Combinatorics.SimpleGraph.AdjMatrix
Cited by
6 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
ZeroOne
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matrix.IsAdjMatrix.submatrix · cited by 4IsAdjMatrix.submatrixMatrix.IsAdjMatrix.isHermitian · cited by 1IsAdjMatrix.isHermitianMatrix.IsAdjMatrix.apply_ne_one_iff · cited by 1IsAdjMatrix.apply_ne_one_…Matrix.IsAdjMatrix.hadamard_self · cited by 1IsAdjMatrix.hadamard_selfMatrix.IsAdjMatrix.adjMatrix_toGraph_eq · cited by 0IsAdjMatrix.adjMatrix_toG…Matrix.IsAdjMatrix.toGraph_compl_eq · cited by 0IsAdjMatrix.toGraph_compl…Matrix · cited by 4303MatrixMatrix.IsAdjMatrix · cited by 28Matrix.IsAdjMatrixIsAdjMatrix.zero_or_oneCITED BYCITES

Cites2

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Cited by6

Results whose statement or proof uses this declaration.