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Theorems · Theorem · combinatorics

Matroid.isFlat_iff_closure_eq

∀ {α : Type u_2} {M : Matroid α} {F : Set α}, M.IsFlat F ↔ M.closure F = F
Defined in
Mathlib.Combinatorics.Matroid.Closure
Cited by
1 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicIndependent.matroid_isFlat_iff · cited by 0AlgebraicIndependent.matr…Set · cited by 53352SetMatroid · cited by 1258MatroidMatroid.closure · cited by 272Matroid.closureMatroid.IsFlat · cited by 27Matroid.IsFlatMatroid.IsFlat.closure · cited by 3IsFlat.closureMatroid.isFlat_closure · cited by 1Matroid.isFlat_closureMatroid.isFlat_iff_closure_eqCITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.