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Theorems · Theorem · combinatorics

Matroid.not_spanning_iff_closure_ssubset

∀ {α : Type u_2} {M : Matroid α} {S : Set α},
  autoParam (S ⊆ M.E) Matroid.not_spanning_iff_closure_ssubset._auto_1 → (¬M.Spanning S ↔ M.closure S ⊂ M.E)
Defined in
Mathlib.Combinatorics.Matroid.Closure
Cited by
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Foundations
Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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Set · cited by 53352SetMatroid · cited by 1258MatroidMatroid.E · cited by 550Matroid.EMatroid.closure · cited by 272Matroid.closureMatroid.Spanning · cited by 63Matroid.SpanningMatroid.closure_subset_ground · cited by 23Matroid.closure_subset_gr…Matroid.spanning_iff_closure_eq · cited by 7Matroid.spanning_iff_clos…ssubset_iff_subset_ne · cited by 7ssubset_iff_subset_neMatroid.not_spanning_iff_clos…CITED BYCITES

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