Theorems · Theorem · combinatorics
Matroid.dual_inj
∀ {α : Type u_1} {M₁ M₂ : Matroid α}, M₁✶ = M₂✶ ↔ M₁ = M₂- Defined in
- Mathlib.Combinatorics.Matroid.Dual
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matroidstatement and proof · cited by 1,258
- Matroid.dualstatement · cited by 79
- Matroid.dual_injectiveproof · cited by 1
Cited by8
Results whose statement or proof uses this declaration.
- Matroid.IsBasis.contract_eq_contract_deleteproof · cited by 3
- Matroid.contract_eq_contract_iffproof · cited by 2
- Matroid.contract_eq_delete_of_subset_coloopsproof · cited by 0
- Matroid.contract_eq_self_iffproof · cited by 0
- Matroid.eq_dual_commproof · cited by 0
- Matroid.map_freeOnproof · cited by 0
- Matroid.uniqueBaseOn_emptyproof · cited by 0
- Matroid.ext_spanningproof · cited by 0