Theorems · Theorem · combinatorics
SimpleGraph.Subgraph.edgeSet_map
∀ {V : Type u} {W : Type v} {G : SimpleGraph V} {G' : SimpleGraph W} (f : G →g G') (H : G.Subgraph),
(SimpleGraph.Subgraph.map f H).edgeSet = Sym2.map ⇑f '' H.edgeSet- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Set.imagestatement · cited by 5,609
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Adjstatement · cited by 1,346
- Sym2statement · cited by 737
- SimpleGraph.Subgraphstatement and proof · cited by 326
- SimpleGraph.Homstatement and proof · cited by 139
- Sym2.mapstatement · cited by 61
- SimpleGraph.Subgraph.edgeSetstatement · cited by 37
- SimpleGraph.Subgraph.mapstatement · cited by 24
- SimpleGraph.Subgraph.symmproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.free_killCopiesproof · cited by 0