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Theorems · Theorem · combinatorics

Matroid.Spanning.contract

∀ {α : Type u_1} {M : Matroid α} {X : Set α}, M.Spanning X → ∀ (C : Set α), (M.contract C).Spanning (X \ C)
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Mathlib.Combinatorics.Matroid.Minor.Contract
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Foundations
Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
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Set · cited by 53352SetCompl.compl · cited by 2925Compl.complMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.contract · cited by 103Matroid.contractMatroid.Spanning · cited by 63Matroid.SpanningSet.disjoint_sdiff_left · cited by 25Set.disjoint_sdiff_leftMatroid.Spanning.subset_ground · cited by 13Spanning.subset_groundMatroid.Spanning.superset · cited by 7Spanning.supersetMatroid.contract_spanning_iff' · cited by 1Matroid.contract_spanning…Spanning.contractCITED BYCITES

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