Theorems · Theorem · combinatorics
Matroid.not_rankFinite
∀ {α : Type u_1} (M : Matroid α) [M.RankInfinite], ¬M.RankFinite- Defined in
- Mathlib.Combinatorics.Matroid.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Matroid.RankInfinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Matroid.exists_isBaseproof · cited by 15
- Matroid.RankInfinitestatement and proof · cited by 13
- Matroid.IsBase.finiteproof · cited by 7
- Matroid.IsBase.infiniteproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.not_rankFinite_iffproof · cited by 3