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Theorems · Theorem · combinatorics

Matroid.uniqueBaseOn_self

∀ {α : Type u_1} (I : Set α), Matroid.uniqueBaseOn I I = Matroid.freeOn I
Defined in
Mathlib.Combinatorics.Matroid.Constructions
Cited by
1 results in Mathlib
Foundations
Depth 91 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.

Matroid.uniqueBaseOn_empty · cited by 0Matroid.uniqueBaseOn_emptySet · cited by 53352SetMatroid · cited by 1258MatroidEq.subset · cited by 124Eq.subsetMatroid.freeOn · cited by 25Matroid.freeOnMatroid.uniqueBaseOn · cited by 17Matroid.uniqueBaseOnMatroid.freeOn_restrict · cited by 1Matroid.freeOn_restrictMatroid.uniqueBaseOn_selfCITED BYCITES

Cites6

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.