Mathlib Map

Theorems · Theorem · combinatorics

Matroid.rankPos_iff

∀ {α : Type u_1} (M : Matroid α), M.RankPos ↔ ¬M.IsBase ∅
Defined in
Mathlib.Combinatorics.Matroid.Basic
Cited by
6 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matroid.dual_rankPos_iff_exists_isCircuit · cited by 3Matroid.dual_rankPos_iff_…Matroid.ground_not_isBase · cited by 1Matroid.ground_not_isBaseMatroid.IsBase.rankPos_of_nonempty · cited by 1IsBase.rankPos_of_nonemptyMatroid.eq_loopyOn_or_rankPos · cited by 0Matroid.eq_loopyOn_or_ran…Matroid.not_rankPos_iff · cited by 0Matroid.not_rankPos_iffMatroid.Coindep.delete_rankPos · cited by 0Coindep.delete_rankPosSet · cited by 53352SetMatroid · cited by 1258MatroidMatroid.IsBase · cited by 239Matroid.IsBaseMatroid.RankPos · cited by 22Matroid.RankPosMatroid.RankPos.casesOn · cited by 1RankPos.casesOnMatroid.rankPos_iffCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.