Theorems · Definition · combinatorics
Matroid.disjointSum
{α : Type u_1} → (M N : Matroid α) → Disjoint M.E N.E → Matroid αThe sum of two matroids on α with disjoint ground sets, as a Matroid α.
- Defined in
- Mathlib.Combinatorics.Matroid.Sum
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Disjointstatement and proof · cited by 2,201
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement and proof · cited by 550
- Matroid.restrictSubtypeproof · cited by 16
- Matroid.mapEmbeddingproof · cited by 8
- Function.Embedding.sumSetproof · cited by 7
- Matroid.sumproof · cited by 5
Cited by8
Results whose statement or proof uses this declaration.
- Matroid.disjointSum_ground_eqstatement · cited by 1
- Matroid.disjointSum_indep_iffstatement · cited by 1
- Matroid.disjointSum_isBase_iffstatement · cited by 1
- Matroid.Indep.eq_union_image_of_disjointSumstatement and proof · cited by 0
- Matroid.disjointSum_commstatement and proof · cited by 0
- Matroid.disjointSum_isBasis_iffstatement · cited by 0
- Matroid.IsBase.eq_union_image_of_disjointSumstatement and proof · cited by 0
- Matroid.disjointSum.congr_simpstatement and proof · cited by 0