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Theorems · Theorem · combinatorics

SimpleGraph.transpose_adjMatrix

∀ {α : Type u_1} {V : Type u_2} (G : SimpleGraph V) [inst : DecidableRel G.Adj] [inst_1 : Zero α] [inst_2 : One α],
  (SimpleGraph.adjMatrix α G).transpose = SimpleGraph.adjMatrix α G
Defined in
Mathlib.Combinatorics.SimpleGraph.AdjMatrix
Cited by
2 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
Assumes
DecidableRelZeroOne
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

SimpleGraph.isSymm_adjMatrix · cited by 1SimpleGraph.isSymm_adjMat…SimpleGraph.adjMatrix_vecMul_apply · cited by 0SimpleGraph.adjMatrix_vec…Matrix · cited by 4303MatrixSimpleGraph · cited by 3072SimpleGraphSimpleGraph.Adj · cited by 1346SimpleGraph.AdjMatrix.ext · cited by 540Matrix.extMatrix.transpose · cited by 389Matrix.transposeSimpleGraph.adjMatrix · cited by 48SimpleGraph.adjMatrixSimpleGraph.transpose_adjMatr…CITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.