Theorems · Theorem · combinatorics
Matroid.IsCircuit.diff_singleton_indep
Deprecated since 2026-06-03Use Matroid.IsCircuit.sdiff_singleton_indep instead.
∀ {α : Type u_1} {M : Matroid α} {C : Set α} {e : α}, M.IsCircuit C → e ∈ C → M.Indep (C \ {e})Alias of Matroid.IsCircuit.sdiff_singleton_indep.
- Defined in
- Mathlib.Combinatorics.Matroid.Circuit
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Matroidstatement · cited by 1,258
- Matroid.Indepstatement · cited by 367
- Matroid.IsCircuitstatement · cited by 108
- Matroid.IsCircuit.sdiff_singleton_indepproof · cited by 5
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