Theorems · Theorem · combinatorics
Matroid.fundCocircuit_eq_of_notMem_ground
∀ {α : Type u_1} {M : Matroid α} {e : α} (X : Set α), e ∉ M.E → M.fundCocircuit e X = {e}The fundamental cocircuit of X and e has the junk value {e} if e ∉ M.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.
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.Estatement and proof · cited by 550
- Matroid.fundCocircuitstatement · cited by 9
- Matroid.fundCircuit_eq_of_notMem_groundproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Matroid.fundCocircuit_eq_of_notMemproof · cited by 0