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Theorems · Definition · category theory

Profinite.NobelingProof.GoodProducts.eval

{I : Type u} →
  (C : Set (I → Bool)) →
    [inst : LinearOrder I] → { l // Profinite.NobelingProof.Products.isGood C l } → LocallyConstant ↑C ℤ

Evaluation of good products.

Defined in
Mathlib.Topology.Category.Profinite.Nobeling.Basic
Cited by
20 results in Mathlib
Foundations
Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrder

Around this declaration

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

Profinite.NobelingProof.GoodProducts.range · cited by 9GoodProducts.rangeProfinite.NobelingProof.P · cited by 3NobelingProof.PProfinite.NobelingProof.GoodProducts.sum_equiv_comp_eval_eq_elim · cited by 2GoodProducts.sum_equiv_co…Profinite.NobelingProof.GoodProducts.MaxToGood · cited by 2GoodProducts.MaxToGoodProfinite.NobelingProof.GoodProducts.equiv_range · cited by 2GoodProducts.equiv_rangeProfinite.NobelingProof.GoodProducts.linearIndependent_iff_range · cited by 2GoodProducts.linearIndepe…Profinite.NobelingProof.GoodProducts.span_iff_products · cited by 2GoodProducts.span_iff_pro…Profinite.NobelingProof.GoodProducts.square_commutes · cited by 1GoodProducts.square_commu…Profinite.NobelingProof.GoodProducts.equiv_toFun_eq_eval · cited by 1GoodProducts.equiv_toFun_…Profinite.NobelingProof.GoodProducts.linearIndependentEmpty · cited by 1GoodProducts.linearIndepe…Profinite.NobelingProof.GoodProducts.linearIndependentSingleton · cited by 1GoodProducts.linearIndepe…Profinite.NobelingProof.GoodProducts.linearIndependent_comp_of_eval · cited by 1GoodProducts.linearIndepe…Profinite.NobelingProof.GoodProducts.linearIndependent_iff_smaller · cited by 1GoodProducts.linearIndepe…Profinite.NobelingProof.GoodProducts.linearIndependent_iff_sum · cited by 1GoodProducts.linearIndepe…Profinite.NobelingProof.GoodProducts.linearIndependent_iff_union_smaller · cited by 1GoodProducts.linearIndepe…Set · cited by 53352SetLinearOrder · cited by 8572LinearOrderSet.Elem · cited by 7166Set.ElemLocallyConstant · cited by 227LocallyConstantProfinite.NobelingProof.Products · cited by 54NobelingProof.ProductsProfinite.NobelingProof.Products.eval · cited by 29Products.evalProfinite.NobelingProof.Products.isGood · cited by 28Products.isGoodGoodProducts.evalCITED BYCITES

Cites7

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

Cited by24

Results whose statement or proof uses this declaration.