Theorems · Theorem · combinatorics
Matroid.isRkFinite_iff_cRk_lt_aleph0
∀ {α : Type u} {M : Matroid α} {X : Set α}, M.IsRkFinite X ↔ M.cRk X < Cardinal.aleph0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- Cardinalstatement and proof · cited by 2,598
- Matroidstatement and proof · cited by 1,258
- Cardinal.aleph0statement and proof · cited by 521
- Matroid.IsRkFinitestatement · cited by 53
- Matroid.cRkstatement and proof · cited by 29
- Matroid.rankFinite_iff_cRank_lt_aleph0proof · cited by 3
- Matroid.cRank_restrictproof · cited by 1
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