Theorems · Theorem · combinatorics
Matroid.Finite.ground_finite
∀ {α : Type u_1} {M : Matroid α} [self : M.Finite], M.E.FiniteThe ground set is finite
- Defined in
- Mathlib.Combinatorics.Matroid.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- Matroid.Finite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Finitestatement · cited by 1,814
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement · cited by 550
- Matroid.Finitestatement and proof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.ground_finiteproof · cited by 3