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Theorems · Theorem · combinatorics

Matroid.Spanning.union_right

∀ {α : Type u_2} {M : Matroid α} {X S : Set α},
  M.Spanning S → autoParam (X ⊆ M.E) Matroid.Spanning.union_right._auto_1 → M.Spanning (X ∪ S)
Defined in
Mathlib.Combinatorics.Matroid.Closure
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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.ESet.subset_union_right · cited by 123Set.subset_union_rightMatroid.Spanning · cited by 63Matroid.SpanningMatroid.Spanning.subset_ground · cited by 13Spanning.subset_groundMatroid.Spanning.superset · cited by 7Spanning.supersetSpanning.union_rightCITED BYCITES

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