Theorems · Theorem · combinatorics
Matroid.IsCircuit.not_ssubset
∀ {α : Type u_1} {M : Matroid α} {C C' : Set α}, M.IsCircuit C → M.IsCircuit C' → ¬C' ⊂ C- Defined in
- Mathlib.Combinatorics.Matroid.Circuit
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 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
- Matroidstatement and proof · cited by 1,258
- LT.lt.neproof · cited by 872
- Matroid.IsCircuitstatement and proof · cited by 108
- LT.lt.subsetproof · cited by 20
- Matroid.IsCircuit.depproof · cited by 15
- Matroid.IsCircuit.eq_of_dep_subsetproof · cited by 3
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