Theorems · Theorem · combinatorics
Matroid.eRank_freeOn
∀ {α : Type u_1} (X : Set α), (Matroid.freeOn X).eRank = X.encard- Defined in
- Mathlib.Combinatorics.Matroid.Rank.ENat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- ENatstatement and proof · cited by 4,985
- Set.encardstatement and proof · cited by 327
- Eq.subsetproof · cited by 124
- Matroid.eRkproof · cited by 101
- Matroid.eRankstatement · cited by 36
- Matroid.freeOnstatement and proof · cited by 25
- Matroid.Indep.eRk_eq_encardproof · cited by 15
- Matroid.eRank_defproof · cited by 12
- Matroid.freeOn_indep_iffproof · cited by 5
- Matroid.freeOn_groundproof · cited by 3
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