Theorems · Theorem · combinatorics
Matroid.IsBasis.closure_eq_right
∀ {α : Type u_2} {M : Matroid α} {X I : Set α}, M.IsBasis I (M.closure X) → M.closure I = M.closure X- Defined in
- Mathlib.Combinatorics.Matroid.Closure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Matroid.closurestatement and proof · cited by 272
- Matroid.IsBasisstatement and proof · cited by 219
- Matroid.closure_closureproof · cited by 14
- Matroid.IsBasis.closure_eq_closureproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.IsBasis'.inter_coloops_subsetproof · cited by 1