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Theorems · Theorem · combinatorics

Matroid.cRk_union_closure_right_eq

∀ {α : Type u} (M : Matroid α) [M.InvariantCardinalRank] (X Y : Set α), M.cRk (X ∪ M.closure Y) = M.cRk (X ∪ Y)
Defined in
Mathlib.Combinatorics.Matroid.Rank.Cardinal
Cited by
1 results in Mathlib
Foundations
Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Matroid.InvariantCardinalRank
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Around this declaration

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Matroid.cRk_union_closure_eq · cited by 1Matroid.cRk_union_closure…Set · cited by 53352SetCardinal · cited by 2598CardinalMatroid · cited by 1258MatroidMatroid.closure · cited by 272Matroid.closureMatroid.cRk · cited by 29Matroid.cRkMatroid.InvariantCardinalRank · cited by 25Matroid.InvariantCardinal…Matroid.closure_union_closure_right_eq · cited by 6Matroid.closure_union_clo…Matroid.cRk_closure_congr · cited by 2Matroid.cRk_closure_congrMatroid.cRk_union_closure_rig…CITED BYCITES

Cites8

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Cited by1

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