Theorems · Theorem · combinatorics
Matroid.IsCircuit.dual_rankPos
∀ {α : Type u_1} {M : Matroid α} {C : Set α}, M.IsCircuit C → M✶.RankPos- Defined in
- Mathlib.Combinatorics.Matroid.Circuit
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
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.IsCircuitstatement and proof · cited by 108
- Matroid.dualstatement · cited by 79
- Matroid.RankPosstatement · cited by 22
- Matroid.dual_rankPos_iff_exists_isCircuitproof · cited by 3
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