Theorems · Theorem · combinatorics
SimpleGraph.copyCount_eq_card_image_copyToSubgraph
∀ {V : Type u_1} {W : Type u_2} {G : SimpleGraph V} {H : SimpleGraph W} [inst : Fintype V]
[inst_1 : Fintype { f // Function.Injective ⇑f }] [inst_2 : DecidableEq G.Subgraph],
G.copyCount H = (Finset.image SimpleGraph.Copy.toSubgraph Finset.univ).card- Defined in
- Mathlib.Combinatorics.SimpleGraph.Copy
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeFintypeDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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
- Finsetproof · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Set.ofPredproof · cited by 6,101
- Set.imageproof · cited by 5,609
- Finset.univstatement and proof · cited by 3,473
- SimpleGraphstatement and proof · cited by 3,072
- Finset.cardstatement and proof · cited by 2,327
- SimpleGraph.Adjstatement · cited by 1,346
- Finset.filterproof · cited by 949
- Finset.imagestatement and proof · cited by 910
- SimpleGraph.Subgraphstatement and proof · cited by 326
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.copyCount_le_labelledCopyCountproof · cited by 1