Theorems · Theorem · combinatorics
Matroid.closure_union_closure_right_eq
∀ {α : Type u_2} (M : Matroid α) (X Y : Set α), M.closure (X ∪ M.closure Y) = M.closure (X ∪ Y)- Defined in
- Mathlib.Combinatorics.Matroid.Closure
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 72 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
- Matroidstatement and proof · cited by 1,258
- Matroid.closurestatement and proof · cited by 272
- Matroid.closure_closureproof · cited by 14
- Matroid.closure_closure_union_closure_eq_closure_unionproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- Matroid.closure_insert_closure_eq_closure_insertproof · cited by 6
- Matroid.closure_union_congr_rightproof · cited by 3
- Matroid.closure_union_loops_eqproof · cited by 2
- Matroid.closure_sdiff_loops_eqproof · cited by 2
- Matroid.cRk_union_closure_right_eqproof · cited by 1
- Matroid.eRk_union_closure_right_eqproof · cited by 0