Theorems · Theorem · combinatorics
Matrix.IsAdjMatrix.toGraphSubmatrixHom_apply
∀ {α : Type u_1} {V : Type u_2} {W : Type u_3} (A : Matrix V V α) [inst : MulZeroOneClass α] [inst_1 : Nontrivial α]
(h : A.IsAdjMatrix) (f : W → V) (a : W), (Matrix.IsAdjMatrix.toGraphSubmatrixHom A h f) a = f a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- MulZeroOneClassNontrivial
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Matrixstatement and proof · cited by 4,303
- Nontrivialstatement and proof · cited by 2,416
- SimpleGraph.Adjstatement · cited by 1,346
- MulZeroOneClassstatement and proof · cited by 184
- Matrix.submatrixstatement · cited by 183
- RelHomstatement · cited by 49
- Matrix.IsAdjMatrixstatement and proof · cited by 28
- Matrix.IsAdjMatrix.toGraphstatement · cited by 9
- Matrix.IsAdjMatrix.submatrixstatement · cited by 4
- Matrix.IsAdjMatrix.toGraphSubmatrixHomstatement and proof · cited by 2
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