Theorems · Theorem · combinatorics
Matroid.exists_of_closure_ssubset
∀ {α : Type u_2} {M : Matroid α} {X Y : Set α}, M.closure X ⊂ M.closure Y → ∃ e ∈ Y, e ∉ M.closure X- Defined in
- Mathlib.Combinatorics.Matroid.Closure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
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
- Matroid.closurestatement and proof · cited by 272
- Matroid.closure_subset_closure_of_subset_closureproof · cited by 9
- LT.lt.not_subsetproof · cited by 1
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