Theorems · Definition · combinatorics
SimpleGraph.Iso.completeGraph
{α : Type u_5} → {β : Type u_6} → α ≃ β → SimpleGraph.completeGraph α ≃g SimpleGraph.completeGraph βEquivalences of types induce isomorphisms of complete graphs on those types.
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Maps
- Cited by
- 4 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement and proof · cited by 8,337
- SimpleGraph.Isostatement · cited by 99
- SimpleGraph.completeGraphstatement · cited by 49
Cited by5
Results whose statement or proof uses this declaration.
- SimpleGraph.completeMultipartiteGraph.not_cliqueFree_of_le_cardproof · cited by 3
- SimpleGraph.IsContained.not_cliqueFree_cardproof · cited by 1
- SimpleGraph.Iso.toEmbedding_completeGraphstatement · cited by 0
- SimpleGraph.coloringCongrproof · cited by 0
- SimpleGraph.cliqueFree_iff_top_freeproof · cited by 0