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Theorems · Theorem · category theory

Profinite.NobelingProof.GoodProducts.linearIndependent

∀ {I : Type u} (C : Set (I → Bool)) [inst : LinearOrder I] [WellFoundedLT I],
  IsClosed C → LinearIndependent ℤ (Profinite.NobelingProof.GoodProducts.eval C)
Defined in
Mathlib.Topology.Category.Profinite.Nobeling.Induction
Cited by
0 results in Mathlib
Foundations
Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderWellFoundedLT
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Around this declaration

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

Profinite.NobelingProof.GoodProducts.Basis · cited by 1GoodProducts.BasisSet · cited by 53352SetLinearOrder · cited by 8572LinearOrderSet.Elem · cited by 7166Set.Elemle_refl · cited by 2061le_reflIsClosed · cited by 1639IsClosedLinearIndependent · cited by 560LinearIndependentWellFoundedLT · cited by 491WellFoundedLTLocallyConstant · cited by 227LocallyConstantOrdinal.type · cited by 207Ordinal.typeProfinite.NobelingProof.Products · cited by 54NobelingProof.ProductsProfinite.NobelingProof.Products.isGood · cited by 28Products.isGoodProfinite.NobelingProof.GoodProducts.eval · cited by 20GoodProducts.evalOrdinal.typein_lt_type · cited by 13Ordinal.typein_lt_typeProfinite.NobelingProof.GoodProducts.linearIndependentAux · cited by 1GoodProducts.linearIndepe…GoodProducts.linearIndependentCITED BYCITES

Cites14

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Cited by1

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