Theorems · Definition · combinatorics
SimpleGraph.Iso.symm
{V : Type u_1} → {W : Type u_2} → {G : SimpleGraph V} → {G' : SimpleGraph W} → G ≃g G' → G' ≃g GThe inverse of a graph isomorphism.
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Maps
- Cited by
- 34 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, 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.
- SimpleGraphstatement and proof · cited by 3,072
- RelIso.symmproof · cited by 193
- SimpleGraph.Isostatement and proof · cited by 99
Cited by43
Results whose statement or proof uses this declaration.
- SimpleGraph.Iso.connectedComponentEquivproof · cited by 5
- SimpleGraph.isContained_congrproof · cited by 5
- SimpleGraph.Iso.induceproof · cited by 3
- SimpleGraph.Iso.mapEdgeSetproof · cited by 3
- SimpleGraph.isTuranMaximal_of_isoproof · cited by 3
- SimpleGraph.Iso.mapNeighborSetproof · cited by 3
- SimpleGraph.Copy.isoToSubgraphproof · cited by 3
- SimpleGraph.zarankiewicz_of_fintypeCard_eqproof · cited by 2
- SimpleGraph.Iso.isContained'proof · cited by 2
- SimpleGraph.IsCompleteMultipartite.colorable_of_cliqueFreeproof · cited by 2
- SimpleGraph.Iso.connected_iffproof · cited by 1
- SimpleGraph.Iso.isAcyclic_iffproof · cited by 1