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Theorems · Theorem · combinatorics

IndepMatroid.indep_aug

∀ {α : Type u_2} (self : IndepMatroid α) ⦃I B : Set α⦄,
  self.Indep I → ¬Maximal self.Indep I → Maximal self.Indep B → ∃ x ∈ B \ I, self.Indep (insert x I)
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Mathlib.Combinatorics.Matroid.IndepAxioms
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Depth 6 from the axioms · uses no axioms
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Set · cited by 53352SetMaximal · cited by 211MaximalIndepMatroid.Indep · cited by 17IndepMatroid.IndepIndepMatroid · cited by 15IndepMatroidIndepMatroid.indep_augCITED BYCITES

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