Theorems · Theorem · combinatorics
Matroid.not_rankFinite_iff
∀ {α : Type u_1} (M : Matroid α), ¬M.RankFinite ↔ M.RankInfinite- Defined in
- Mathlib.Combinatorics.Matroid.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matroidstatement and proof · cited by 1,258
- Matroid.RankFinitestatement and proof · cited by 33
- Matroid.RankInfinitestatement and proof · cited by 13
- Matroid.rankFinite_or_rankInfiniteproof · cited by 2
- Matroid.not_rankFiniteproof · cited by 1
- Matroid.not_rankInfiniteproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Matroid.eRank_eq_top_iffproof · cited by 1
- Matroid.rankInfinite_iff_aleph0_le_cRankproof · cited by 1
- Matroid.not_rankInfinite_iffproof · cited by 0