Theorems · Definition · combinatorics
SimpleGraph.Copy.isoSubgraphMap
{α : Type u_4} →
{β : Type u_5} →
{A : SimpleGraph α} →
{B : SimpleGraph β} → (f : A.Copy B) → (A' : A.Subgraph) → A'.coe ≃g (SimpleGraph.Subgraph.map f.toHom A').coeThe isomorphism from a subgraph of A to its map under a copy f : Copy A B.
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Copy
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Set.Elemstatement · cited by 7,166
- SimpleGraphstatement and proof · cited by 3,072
- SimpleGraph.Subgraphstatement and proof · cited by 326
- SimpleGraph.Subgraph.vertsstatement and proof · cited by 210
- SimpleGraph.Isostatement · cited by 99
- SimpleGraph.Subgraph.coestatement · cited by 89
- SimpleGraph.Copystatement and proof · cited by 49
- SimpleGraph.Subgraph.mapstatement · cited by 24
- Equiv.Set.imageproof · cited by 15
- SimpleGraph.Copy.toHomstatement and proof · cited by 14
- SimpleGraph.Copy.injectiveproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- SimpleGraph.Copy.isoToSubgraphproof · cited by 3
- SimpleGraph.free_killCopiesproof · cited by 0