Theorems · Theorem · combinatorics
SimpleGraph.adjMatrix.congr_simp
∀ (α : Type u_1) {V : Type u_2} (G G_1 : SimpleGraph V),
G = G_1 →
∀ {inst : DecidableRel G.Adj} [inst_1 : DecidableRel G_1.Adj] [inst_2 : Zero α] [inst_3 : One α] (a a_1 : V),
a = a_1 → ∀ (a_2 a_3 : V), a_2 = a_3 → SimpleGraph.adjMatrix α G a a_2 = SimpleGraph.adjMatrix α G_1 a_1 a_3- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
- Assumes
- DecidableRelZeroOne
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.
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Adjstatement and proof · cited by 1,346
- SimpleGraph.adjMatrixstatement and proof · cited by 48
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.adjMatrix_topproof · cited by 0