Theorems · Definition · combinatorics
SimpleGraph.overFin
{V : Type u_1} → SimpleGraph V → [inst : Fintype V] → {n : ℕ} → Fintype.card V = n → SimpleGraph (Fin n)Given a graph over a finite vertex type V and a proof hc that Fintype.card V = n,
G.overFin n is an isomorphic (as shown in overFinIso) graph over Fin n.
- Defined in
- Mathlib.Combinatorics.SimpleGraph.Maps
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- Equiv.symmproof · cited by 3,681
- SimpleGraphstatement and proof · cited by 3,072
- Fintype.cardstatement and proof · cited by 1,386
- SimpleGraph.comapproof · cited by 29
- Fintype.equivFinOfCardEqproof · cited by 22
Cited by2
Results whose statement or proof uses this declaration.
- SimpleGraph.overFinIsostatement · cited by 1
- SimpleGraph.isContained_of_card_edgeFinsetproof · cited by 0