Theorems · Theorem · combinatorics
Matroid.emptyOn_closure_eq
∀ {α : Type u_2} (X : Set α), (Matroid.emptyOn α).closure X = ∅- Defined in
- Mathlib.Combinatorics.Matroid.Closure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 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
- LE.le.antisymmproof · cited by 507
- Matroid.closurestatement and proof · cited by 272
- Set.empty_subsetproof · cited by 70
- Matroid.closure_subset_groundproof · cited by 23
- Matroid.emptyOnstatement and proof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.loopyOn_closure_eqproof · cited by 5