Theorems · Theorem · combinatorics
Graph.IsNonloopAt.inc
∀ {α : Type u_1} {β : Type u_2} {x : α} {e : β} {G : Graph α β}, G.IsNonloopAt e x → G.Inc e x- Defined in
- Mathlib.Combinatorics.Graph.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Graphstatement and proof · cited by 242
- Graph.Incstatement · cited by 42
- Graph.IsNonloopAtstatement and proof · cited by 16
- Graph.IsLink.inc_leftproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- Graph.IsNonloopAt.vertex_memproof · cited by 0
- Graph.IsNonloopAt.edge_memproof · cited by 0
- Graph.isNonloopAt_iff_inc_not_isLoopAtproof · cited by 0