Theorems · Theorem · combinatorics
Matroid.IsCocircuit.of_contract
∀ {α : Type u_1} {M : Matroid α} {K C : Set α}, (M.contract C).IsCocircuit K → M.IsCocircuit K- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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.contractstatement and proof · cited by 103
- Matroid.IsCocircuitstatement and proof · cited by 32
- Matroid.dual_contractproof · cited by 9
- Matroid.isCocircuit_defproof · cited by 7
- Matroid.IsCircuit.of_deleteproof · cited by 2
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