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Theorems · Theorem · combinatorics

Matroid.Coindep.delete_rankPos

∀ {α : Type u_1} {M : Matroid α} {D : Set α} [M.RankPos], M.Coindep D → (M.delete D).RankPos
Defined in
Mathlib.Combinatorics.Matroid.Minor.Delete
Cited by
0 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Matroid.RankPos
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Set · cited by 53352SetMatroid · cited by 1258MatroidMatroid.delete · cited by 86Matroid.deleteMatroid.Coindep · cited by 24Matroid.CoindepMatroid.RankPos · cited by 22Matroid.RankPosMatroid.rankPos_iff · cited by 6Matroid.rankPos_iffMatroid.Coindep.delete_isBase_iff · cited by 2Coindep.delete_isBase_iffMatroid.empty_not_isBase · cited by 2Matroid.empty_not_isBaseCoindep.delete_rankPosCITED BYCITES

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