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Theorems · Theorem · combinatorics

Matroid.subsingleton_indep

∀ {α : Type u_1} {M : Matroid α} {I : Set α} [M.Loopless],
  I.Subsingleton → autoParam (I ⊆ M.E) Matroid.subsingleton_indep._auto_1 → M.Indep I
Defined in
Mathlib.Combinatorics.Matroid.Loop
Cited by
0 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Matroid.Loopless
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Around this declaration

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Set · cited by 53352SetMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.Indep · cited by 367Matroid.IndepSet.Subsingleton · cited by 276Set.SubsingletonSet.Subsingleton.eq_empty_or_singleton · cited by 16Subsingleton.eq_empty_or_…Matroid.Loopless · cited by 16Matroid.LooplessMatroid.isNonloop_of_loopless · cited by 6Matroid.isNonloop_of_loop…Matroid.subsingleton_indepCITED BYCITES

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