Mathlib Map

Theorems · Theorem · combinatorics

Matroid.IsBase.rankInfinite_of_infinite

∀ {α : Type u_1} {M : Matroid α} {B : Set α}, M.IsBase B → B.Infinite → M.RankInfinite
Defined in
Mathlib.Combinatorics.Matroid.Basic
Cited by
1 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matroid.rankFinite_or_rankInfinite · cited by 2Matroid.rankFinite_or_ran…Set · cited by 53352SetMatroid · cited by 1258MatroidSet.Infinite · cited by 263Set.InfiniteMatroid.IsBase · cited by 239Matroid.IsBaseMatroid.RankInfinite · cited by 13Matroid.RankInfiniteIsBase.rankInfinite_of_infini…CITED BYCITES

Cites5

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

Cited by1

Results whose statement or proof uses this declaration.