Theorems · Theorem · combinatorics
Matroid.fundCocircuit_inter_eq
∀ {α : Type u_1} {e : α} (M : Matroid α) {B : Set α}, e ∈ B → M.fundCocircuit e B ∩ B = {e}- Defined in
- Mathlib.Combinatorics.Matroid.Circuit
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.transproof · cited by 3,151
- Matroidstatement and proof · cited by 1,258
- Matroid.Eproof · cited by 550
- Set.singleton_subset_iffproof · cited by 206
- subset_antisymmproof · cited by 150
- Set.inter_subset_inter_leftproof · cited by 36
- Matroid.fundCocircuitstatement · cited by 9
- Matroid.mem_fundCocircuitproof · cited by 3
- Matroid.fundCocircuit_subset_insert_complproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.Indep.exists_isCocircuit_inter_eq_memproof · cited by 0