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Theorems · Definition · category theory

Profinite.NobelingProof.Products.eval

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

The evaluation e C i₁ ··· e C iᵣ : C → ℤ of a formal product [i₁, i₂, ..., iᵣ].

Defined in
Mathlib.Topology.Category.Profinite.Nobeling.Basic
Cited by
29 results in Mathlib
Foundations
Depth 74 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.Products.isGood · cited by 28Products.isGoodProfinite.NobelingProof.GoodProducts.eval · cited by 20GoodProducts.evalProfinite.NobelingProof.Products.prop_of_isGood · cited by 10Products.prop_of_isGoodProfinite.NobelingProof.Products.eval_eq · cited by 5Products.eval_eqProfinite.NobelingProof.Products.eval_πs · cited by 5Products.eval_πsProfinite.NobelingProof.Products.eval_πs' · cited by 4Products.eval_πs'Profinite.NobelingProof.Products.isGood_mono · cited by 4Products.isGood_monoProfinite.NobelingProof.Products.evalFacProp · cited by 3Products.evalFacPropProfinite.NobelingProof.GoodProducts.SumEval · cited by 3GoodProducts.SumEvalProfinite.NobelingProof.GoodProducts.sum_equiv_comp_eval_eq_elim · cited by 2GoodProducts.sum_equiv_co…Profinite.NobelingProof.Products.eval_πs_image' · cited by 2Products.eval_πs_image'Profinite.NobelingProof.Products.max_eq_eval · cited by 2Products.max_eq_evalProfinite.NobelingProof.Products.prop_of_isGood_of_contained · cited by 2Products.prop_of_isGood_o…Profinite.NobelingProof.GoodProducts.max_eq_eval · cited by 2GoodProducts.max_eq_evalProfinite.NobelingProof.GoodProducts.span_iff_products · cited by 2GoodProducts.span_iff_pro…Set · cited by 53352SetLinearOrder · cited by 8572LinearOrderSet.Elem · cited by 7166Set.ElemLocallyConstant · cited by 227LocallyConstantProfinite.NobelingProof.Products · cited by 54NobelingProof.ProductsProfinite.NobelingProof.e · cited by 11NobelingProof.eProducts.evalCITED BYCITES

Cites6

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Cited by32

Results whose statement or proof uses this declaration.