Theorems · Definition · combinatorics
Matrix.compl
{α : Type u_1} → {V : Type u_2} → [Zero α] → [One α] → [DecidableEq α] → [DecidableEq V] → Matrix V V α → Matrix V V αFor A : Matrix V V α, A.compl is supposed to be the adjacency matrix of
the complement graph of the graph induced by A.adjMatrix.
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Matrixstatement and proof · cited by 4,303
- Matrix.ofproof · cited by 336
Cited by17
Results whose statement or proof uses this declaration.
- SimpleGraph.compl_adjMatrix_completeGraphstatement · cited by 2
- SimpleGraph.one_add_adjMatrix_add_compl_adjMatrix_eq_of_onestatement and proof · cited by 1
- SimpleGraph.adjMatrix_add_compl_adjMatrix_eq_adjMatrix_completeGraphstatement · cited by 1
- Matrix.isAdjMatrix_complstatement · cited by 1
- Matrix.compl_apply_diagstatement · cited by 1
- Matrix.compl_zerostatement · cited by 1
- Matrix.IsAdjMatrix.complstatement · cited by 1
- Matrix.IsAdjMatrix.compl_complstatement and proof · cited by 1
- SimpleGraph.compl_adjMatrix_eq_adjMatrix_complstatement · cited by 1
- SimpleGraph.one_add_adjMatrix_add_compl_adjMatrix_eq_allOnesstatement · cited by 0
- Matrix.IsAdjMatrix.toGraph_compl_eqstatement · cited by 0
- Matrix.compl_applystatement · cited by 0