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Theorems · Theorem · combinatorics

Matroid.uniqueBaseOn_restrict

∀ {α : Type u_1} {E I : Set α},
  I ⊆ E → ∀ (R : Set α), (Matroid.uniqueBaseOn I E).restrict R = Matroid.uniqueBaseOn (I ∩ R) R
Defined in
Mathlib.Combinatorics.Matroid.Constructions
Cited by
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Foundations
Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
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Set · cited by 53352SetMatroid · cited by 1258MatroidMatroid.restrict · cited by 111Matroid.restrictSet.inter_eq_self_of_subset_left · cited by 52Set.inter_eq_self_of_subs…Matroid.uniqueBaseOn · cited by 17Matroid.uniqueBaseOnSet.inter_right_comm · cited by 9Set.inter_right_commMatroid.uniqueBaseOn_restrict' · cited by 1Matroid.uniqueBaseOn_rest…Matroid.uniqueBaseOn_restrictCITED BYCITES

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