Theorems · Theorem · combinatorics
Matroid.IsRkFinite.eRk_lt_top
∀ {α : Type u_1} {M : Matroid α} {X : Set α}, M.IsRkFinite X → M.eRk X < ⊤- Defined in
- Mathlib.Combinatorics.Matroid.Rank.ENat
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Setstatement and proof · cited by 53,352
- Top.topstatement · cited by 9,680
- ENatstatement · cited by 4,985
- Matroidstatement and proof · cited by 1,258
- Matroid.eRkstatement · cited by 101
- Matroid.IsRkFinitestatement and proof · cited by 53
- Matroid.eRk_lt_top_iffproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Matroid.IsRkFinite.closure_eq_closure_of_subset_of_forall_insertproof · cited by 1
- Matroid.indep_iff_eRk_eq_encardproof · cited by 1
- Matroid.IsRkFinite.indep_of_encard_le_eRkproof · cited by 0