Theorems · Theorem · combinatorics
Matroid.rankFinite_or_rankInfinite
∀ {α : Type u_1} (M : Matroid α), M.RankFinite ∨ M.RankInfinite- Defined in
- Mathlib.Combinatorics.Matroid.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Matroidstatement and proof · cited by 1,258
- Matroid.IsBaseproof · cited by 239
- Matroid.RankFinitestatement and proof · cited by 33
- Set.finite_or_infiniteproof · cited by 23
- Matroid.exists_isBaseproof · cited by 15
- Matroid.RankInfinitestatement and proof · cited by 13
- Matroid.IsBase.rankFinite_of_finiteproof · cited by 3
- Matroid.IsBase.rankInfinite_of_infiniteproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Matroid.not_rankFinite_iffproof · cited by 3
- Matroid.toENat_cRank_eqproof · cited by 1