Theorems · Theorem · combinatorics
SimpleGraph.diagonal_hadamard_adjMatrix
∀ (α : Type u_1) {V : Type u_2} (G : SimpleGraph V) [inst : DecidableRel G.Adj] [inst_1 : DecidableEq V]
[inst_2 : MulZeroOneClass α] (d : V → α), (Matrix.diagonal d).hadamard (SimpleGraph.adjMatrix α G) = 0- Cited by
- 4 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement · cited by 4,303
- SimpleGraphstatement and proof · cited by 3,072
- MulZeroClass.mul_zeroproof · cited by 2,091
- SimpleGraph.Adjstatement and proof · cited by 1,346
- Matrix.diagonalstatement and proof · cited by 314
- MulZeroOneClassstatement and proof · cited by 184
- Matrix.hadamardstatement · cited by 55
- SimpleGraph.adjMatrixstatement and proof · cited by 48
- Matrix.diagonal_hadamardproof · cited by 4
- Matrix.diagonal_zero'proof · cited by 4
- Matrix.IsAdjMatrix.diag_eq_zeroproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- SimpleGraph.one_hadamard_adjMatrixproof · cited by 0
- SimpleGraph.intCast_hadamard_adjMatrixproof · cited by 0
- SimpleGraph.natCast_hadamard_adjMatrixproof · cited by 0
- SimpleGraph.ofNat_hadamard_adjMatrixproof · cited by 0