Theorems · Theorem · combinatorics
Matroid.contract_isCocircuit_iff
∀ {α : Type u_1} {M : Matroid α} {K C : Set α}, (M.contract C).IsCocircuit K ↔ M.IsCocircuit K ∧ Disjoint K C- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- Disjointstatement and proof · cited by 2,201
- Matroidstatement and proof · cited by 1,258
- Matroid.IsCircuitproof · cited by 108
- Matroid.contractstatement · cited by 103
- Matroid.IsCocircuitstatement and proof · cited by 32
- Matroid.dual_contractproof · cited by 9
- Matroid.isCocircuit_defproof · cited by 7
- Matroid.delete_isCircuit_iffproof · cited by 4
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