Theorems · Theorem · combinatorics
Graph.ext_inc
∀ {α : Type u_1} {β : Type u_2} {G₁ G₂ : Graph α β},
G₁.vertexSet = G₂.vertexSet → (∀ (e : β) (x : α), G₁.Inc e x ↔ G₂.Inc e x) → G₁ = G₂Two graphs with the same vertex set and unary incidences are equal.
- Defined in
- Mathlib.Combinatorics.Graph.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Graphstatement and proof · cited by 242
- Graph.vertexSetstatement and proof · cited by 87
- Graph.Incstatement and proof · cited by 42
- Graph.extproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- Graph.eq_bouquet_of_subsingletonproof · cited by 2
- Graph.banana_commproof · cited by 0