Theorems · Theorem · combinatorics
Matroid.one_le_eRank
∀ {α : Type u_1} (M : Matroid α) [M.RankPos], 1 ≤ M.eRank- Defined in
- Mathlib.Combinatorics.Matroid.Rank.ENat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Matroid.RankPos
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- ENatstatement and proof · cited by 4,985
- Matroidstatement and proof · cited by 1,258
- Matroid.IsBaseproof · cited by 239
- Matroid.eRankstatement · cited by 36
- Matroid.RankPosstatement and proof · cited by 22
- Matroid.exists_isBaseproof · cited by 15
- Matroid.IsBase.encard_eq_eRankproof · cited by 10
- Set.one_le_encard_iff_nonemptyproof · cited by 3
- Matroid.IsBase.nonemptyproof · cited by 2
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