Theorems · Theorem · combinatorics
Matroid.circuit_iff_delete_of_disjoint
∀ {α : Type u_1} {M : Matroid α} {D C : Set α}, Disjoint C D → (M.IsCircuit C ↔ (M.delete D).IsCircuit C)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
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.IsCircuitstatement and proof · cited by 108
- Matroid.deletestatement and proof · cited by 86
- Matroid.delete_isCircuit_iffproof · cited by 4
- Matroid.IsCircuit.of_deleteproof · cited by 2
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