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Theorems · Theorem · combinatorics

Matroid.IsBase.finite_of_finite

∀ {α : Type u_1} {M : Matroid α} {B B' : Set α}, M.IsBase B → B.Finite → M.IsBase B' → B'.Finite
Defined in
Mathlib.Combinatorics.Matroid.Basic
Cited by
2 results in Mathlib
Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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Matroid.IsBase.finite · cited by 7IsBase.finiteMatroid.IsBase.infinite_of_infinite · cited by 1IsBase.infinite_of_infini…Set · cited by 53352SetSet.Finite · cited by 1814Set.FiniteMatroid · cited by 1258MatroidMatroid.IsBase · cited by 239Matroid.IsBaseMatroid.IsBase.encard_eq_encard_of_isBase · cited by 4IsBase.encard_eq_encard_o…Set.finite_iff_finite_of_encard_eq_encard · cited by 2Set.finite_iff_finite_of_…IsBase.finite_of_finiteCITED BYCITES

Cites6

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Cited by2

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