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Theorems · Theorem · combinatorics

Matroid.isRestriction_iff_exists_eq_delete

∀ {α : Type u_1} {M N : Matroid α}, N.IsRestriction M ↔ ∃ D ⊆ M.E, N = M.delete D
Defined in
Mathlib.Combinatorics.Matroid.Minor.Delete
Cited by
1 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Matroid.IsRestriction.restrict_delete_of_disjoint · cited by 1IsRestriction.restrict_de…Set · cited by 53352SetMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.delete · cited by 86Matroid.deleteMatroid.IsRestriction · cited by 45Matroid.IsRestrictionMatroid.IsRestriction.exists_eq_delete · cited by 1IsRestriction.exists_eq_d…Matroid.delete_isRestriction · cited by 1Matroid.delete_isRestrict…Matroid.isRestriction_iff_exi…CITED BYCITES

Cites7

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Cited by1

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