Theorems · Theorem · combinatorics
SimpleGraph.compl_adjMatrix_eq_adjMatrix_compl
∀ (α : Type u_1) {V : Type u_2} (G : SimpleGraph V) [inst : DecidableRel G.Adj] [inst_1 : DecidableEq V]
[inst_2 : DecidableEq α] [inst_3 : Zero α] [inst_4 : One α],
(SimpleGraph.adjMatrix α G).compl = SimpleGraph.adjMatrix α Gᶜ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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 · cited by 4,303
- SimpleGraphstatement and proof · cited by 3,072
- Compl.complstatement and proof · cited by 2,925
- SimpleGraph.Adjstatement and proof · cited by 1,346
- Matrix.extproof · cited by 540
- Matrix.ofproof · cited by 336
- SimpleGraph.adjMatrixstatement and proof · cited by 48
- Matrix.complstatement · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.adjMatrix_add_compl_adjMatrix_eq_adjMatrix_completeGraphproof · cited by 1