Theorems · Theorem · combinatorics
SimpleGraph.incMatrix_apply
∀ {R : Type u_1} {α : Type u_2} (G : SimpleGraph α) [inst : Zero R] [inst_1 : One R] [inst_2 : DecidableEq α]
[inst_3 : DecidableRel G.Adj] {a : α} {e : Sym2 α}, SimpleGraph.incMatrix R G a e = (G.incidenceSet a).indicator 1 e- Cited by
- 3 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Adjstatement and proof · cited by 1,346
- Sym2statement and proof · cited by 737
- Set.indicatorstatement · cited by 723
- SimpleGraph.incidenceSetstatement and proof · cited by 46
- SimpleGraph.incMatrixstatement · cited by 16
Cited by3
Results whose statement or proof uses this declaration.
- SimpleGraph.incMatrix_of_notMem_incidenceSetproof · cited by 1
- SimpleGraph.incMatrix_of_mem_incidenceSetproof · cited by 0
- SimpleGraph.incMatrix_apply_eq_zero_iffproof · cited by 0