Theorems · Theorem · combinatorics
Matroid.rankInfinite_iff
∀ {α : Type u_1} (M : Matroid α), M.RankInfinite ↔ ∃ B, M.IsBase B ∧ B.Infinite- Defined in
- Mathlib.Combinatorics.Matroid.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
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Cites6
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
- Matroidstatement and proof · cited by 1,258
- Set.Infinitestatement and proof · cited by 263
- Matroid.IsBasestatement and proof · cited by 239
- Matroid.RankInfinitestatement and proof · cited by 13
- Matroid.RankInfinite.casesOnproof · cited by 1
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