Theorems · Theorem · combinatorics
Matroid.dual_ground
∀ {α : Type u_1} {M : Matroid α}, M✶.E = M.E- Defined in
- Mathlib.Combinatorics.Matroid.Dual
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement · cited by 550
- Matroid.dualstatement · cited by 79
Cited by9
Results whose statement or proof uses this declaration.
- Matroid.dual_dualproof · cited by 22
- Matroid.contract_inter_ground_eqproof · cited by 7
- Matroid.fundCocircuit_isCocircuitproof · cited by 2
- Matroid.contract_eq_contract_iffproof · cited by 2
- Matroid.restrictSubtype_dualproof · cited by 1
- Matroid.Indep.contract_isBase_iffproof · cited by 1
- Matroid.contract_eq_self_iffproof · cited by 0
- Matroid.eRk_dual_add_eRank'proof · cited by 0
- Matroid.ext_spanningproof · cited by 0