Theorems · Theorem · combinatorics
Matroid.closure_mono
∀ {α : Type u_2} (M : Matroid α), Monotone M.closure- Defined in
- Mathlib.Combinatorics.Matroid.Closure
- Cited by
- 4 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.
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
- Monotonestatement · cited by 1,397
- Matroidstatement and proof · cited by 1,258
- Matroid.closurestatement · cited by 272
- Matroid.closure_subset_closureproof · cited by 24
Cited by4
Results whose statement or proof uses this declaration.
- Matroid.closure_empty_eq_ground_iffproof · cited by 3
- Matroid.IsLoop.mem_closureproof · cited by 2
- Matroid.closure_eq_loops_of_subsetproof · cited by 2
- Matroid.exists_subset_finite_closure_of_subset_closureproof · cited by 0