Theorems · Theorem · combinatorics
Matroid.IsCocircuit.delete_isCocircuit
∀ {α : Type u_1} {M : Matroid α} {K D : Set α}, M.IsCocircuit K → D ⊂ K → (M.delete D).IsCocircuit (K \ D)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 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
- Matroidstatement and proof · cited by 1,258
- Matroid.IsCircuitproof · cited by 108
- Matroid.deletestatement · cited by 86
- Matroid.IsCocircuitstatement and proof · cited by 32
- Matroid.isCocircuit_defproof · cited by 7
- Matroid.dual_deleteproof · cited by 5
- Matroid.IsCircuit.contract_isCircuitproof · cited by 4
- Matroid.IsCocircuit.isCircuitproof · cited by 4
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