Theorems · Definition · combinatorics
Matroid.IsStrictMinor
{α : Type u_1} → Matroid α → Matroid α → PropN is a strict minor of M if N is a minor of M and N ≠ M.
Equivalently, N is obtained from M by deleting/contracting subsets of the ground set
that are not both empty.
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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.IsMinorproof · cited by 19
Cited by12
Results whose statement or proof uses this declaration.
- Matroid.IsStrictMinor.ltstatement and proof · cited by 5
- Matroid.IsStrictMinor.isMinorstatement and proof · cited by 2
- Matroid.IsStrictMinor.nestatement and proof · cited by 1
- Matroid.IsStrictMinor.ssubsetstatement and proof · cited by 1
- Matroid.IsMinor.trans_isStrictMinorstatement and proof · cited by 0
- Matroid.IsStrictMinor.not_isMinorstatement and proof · cited by 0
- Matroid.isStrictMinor_iff_isMinor_nestatement · cited by 0
- Matroid.isStrictMinor_iff_isMinor_ssubsetstatement and proof · cited by 0
- Matroid.isStrictMinor_irreflstatement · cited by 0
- Matroid.IsStrictMinor.transstatement and proof · cited by 0
- Matroid.IsStrictMinor.trans_isMinorstatement and proof · cited by 0
- Matroid.lt_eq_isStrictMinorstatement · cited by 0