Theorems · Theorem · combinatorics
Graph.Compatible.le_iff
∀ {α : Type u_1} {β : Type u_2} {H₁ H₂ : Graph α β},
H₁.Compatible H₂ → (H₁ ≤ H₂ ↔ H₁.vertexSet ⊆ H₂.vertexSet ∧ H₁.edgeSet ⊆ H₂.edgeSet)- Defined in
- Mathlib.Combinatorics.Graph.Subgraph
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 65 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.
- Setstatement · cited by 53,352
- Graphstatement and proof · cited by 242
- Graph.vertexSetstatement and proof · cited by 87
- Graph.edgeSetstatement and proof · cited by 79
- Graph.Compatiblestatement and proof · cited by 21
- Graph.le_iff_compatible_subset_subsetproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Graph.Compatible.extproof · cited by 9
- Graph.restrict_mono_leftproof · cited by 1
- Graph.IsInducedSubgraph.le_of_le_subsetproof · cited by 0