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Theorems · Theorem · combinatorics

Matroid.restrictSubtype_ground_isBasis_iff

∀ {α : Type u_1} {M : Matroid α} {I X : Set ↑M.E},
  (M.restrictSubtype M.E).IsBasis I X ↔ M.IsBasis (Subtype.val '' I) (Subtype.val '' X)
Defined in
Mathlib.Combinatorics.Matroid.Map
Cited by
0 results in Mathlib
Foundations
Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
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Set · cited by 53352SetSet.Elem · cited by 7166Set.ElemSet.image · cited by 5609Set.imageMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.IsBasis · cited by 219Matroid.IsBasisSubtype.coe_preimage_self · cited by 46Subtype.coe_preimage_selfMatroid.restrictSubtype · cited by 16Matroid.restrictSubtypeMatroid.isBasis'_iff_isBasis · cited by 9Matroid.isBasis'_iff_isBa…Matroid.restrictSubtype_isBasis_iff · cited by 1Matroid.restrictSubtype_i…Matroid.restrictSubtype_groun…CITED BYCITES

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