Theorems · Theorem · combinatorics
Matroid.ext_closure
∀ {α : Type u_2} {M₁ M₂ : Matroid α}, (∀ (X : Set α), M₁.closure X = M₂.closure X) → M₁ = M₂- Defined in
- Mathlib.Combinatorics.Matroid.Closure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Set.univproof · cited by 3,945
- Matroidstatement and proof · cited by 1,258
- Matroid.Eproof · cited by 550
- Matroid.closurestatement and proof · cited by 272
- Matroid.ext_indepproof · cited by 15
- Matroid.closure_univproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.closure_empty_eq_ground_iffproof · cited by 3