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Theorems · Theorem · combinatorics

Matrix.IsAdjMatrix.submatrix

∀ {α : Type u_1} {V : Type u_2} {W : Type u_3} {A : Matrix V V α} [inst : Zero α] [inst_1 : One α],
  A.IsAdjMatrix → ∀ (f : W → V), (A.submatrix f f).IsAdjMatrix
Defined in
Mathlib.Combinatorics.SimpleGraph.AdjMatrix
Cited by
4 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Quot.sound
Assumes
ZeroOne
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matrix.IsAdjMatrix.reindex · cited by 2IsAdjMatrix.reindexMatrix.IsAdjMatrix.toGraphSubmatrixHom · cited by 2IsAdjMatrix.toGraphSubmat…Matrix.isAdjMatrix_submatrix_iff · cited by 1Matrix.isAdjMatrix_submat…Matrix.IsAdjMatrix.toGraphSubmatrixEmbedding · cited by 0IsAdjMatrix.toGraphSubmat…Matrix.IsAdjMatrix.toGraphSubmatrixEmbedding_apply · cited by 0IsAdjMatrix.toGraphSubmat…Matrix.IsAdjMatrix.toGraphSubmatrixHom_apply · cited by 0IsAdjMatrix.toGraphSubmat…Matrix · cited by 4303MatrixMatrix.submatrix · cited by 183Matrix.submatrixMatrix.IsAdjMatrix · cited by 28Matrix.IsAdjMatrixMatrix.IsAdjMatrix.zero_or_one · cited by 6IsAdjMatrix.zero_or_oneMatrix.IsAdjMatrix.symm · cited by 3IsAdjMatrix.symmMatrix.IsAdjMatrix.apply_diag · cited by 3IsAdjMatrix.apply_diagMatrix.IsSymm.submatrix · cited by 2IsSymm.submatrixIsAdjMatrix.submatrixCITED BYCITES

Cites7

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

Cited by6

Results whose statement or proof uses this declaration.