Theorems · Theorem · combinatorics
Matroid.Nonempty.ground_nonempty
∀ {α : Type u_1} {M : Matroid α} [self : M.Nonempty], M.E.NonemptyThe ground set is nonempty
- Defined in
- Mathlib.Combinatorics.Matroid.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- Matroid.Nonempty
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.Nonemptystatement · cited by 2,627
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement · cited by 550
- Matroid.Nonemptystatement and proof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.ground_nonemptyproof · cited by 2