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Theorems · Theorem · combinatorics

Matroid.IsBase.isBasis_of_subset

∀ {α : Type u_1} {M : Matroid α} {B X : Set α},
  autoParam (X ⊆ M.E) Matroid.IsBase.isBasis_of_subset._auto_1 → M.IsBase B → B ⊆ X → M.IsBasis B X
Defined in
Mathlib.Combinatorics.Matroid.Basic
Cited by
0 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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Set · cited by 53352SetMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.Indep · cited by 367Matroid.IndepMatroid.IsBase · cited by 239Matroid.IsBaseMatroid.IsBasis · cited by 219Matroid.IsBasisMatroid.IsBase.indep · cited by 22IsBase.indepMatroid.IsBase.eq_of_subset_indep · cited by 8IsBase.eq_of_subset_indepMatroid.isBasis_iff · cited by 4Matroid.isBasis_iffIsBase.isBasis_of_subsetCITED BYCITES

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