Theorems · Theorem · combinatorics
Matroid.IsMinor.exists_eq_contract_delete_disjoint
∀ {α : Type u_1} {M N : Matroid α}, N ≤m M → ∃ C D, C ⊆ M.E ∧ D ⊆ M.E ∧ Disjoint C D ∧ N = (M.contract C).delete D- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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
- Disjointstatement · cited by 2,201
- Matroidstatement and proof · cited by 1,258
- Matroid.Estatement and proof · cited by 550
- Set.inter_subset_leftproof · cited by 360
- Set.inter_subset_rightproof · cited by 329
- Set.sdiff_subsetproof · cited by 156
- Matroid.contractstatement and proof · cited by 103
- Matroid.deletestatement and proof · cited by 86
- Set.inter_assocproof · cited by 67
- Set.inter_selfproof · cited by 63
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