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Theorems · Definition · category theory

Profinite.NobelingProof.GoodProducts.range

{I : Type u} → (C : Set (I → Bool)) → [LinearOrder I] → Set (LocallyConstant ↑C ℤ)

The image of the good products in the module LocallyConstant C ℤ.

Defined in
Mathlib.Topology.Category.Profinite.Nobeling.Basic
Cited by
9 results in Mathlib
Foundations
Depth 78 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.smaller · cited by 8GoodProducts.smallerProfinite.NobelingProof.GoodProducts.linearIndependent_iff_range · cited by 2GoodProducts.linearIndepe…Profinite.NobelingProof.GoodProducts.range_equiv · cited by 2GoodProducts.range_equivProfinite.NobelingProof.GoodProducts.range_equiv_smaller · cited by 2GoodProducts.range_equiv_…Profinite.NobelingProof.GoodProducts.equiv_range · cited by 2GoodProducts.equiv_rangeProfinite.NobelingProof.GoodProducts.linearIndependent_iff_smaller · cited by 1GoodProducts.linearIndepe…Profinite.NobelingProof.GoodProducts.linearIndependent_iff_union_smaller · cited by 1GoodProducts.linearIndepe…Profinite.NobelingProof.GoodProducts.range_equiv_factorization · cited by 1GoodProducts.range_equiv_…Profinite.NobelingProof.GoodProducts.range_equiv_smaller_toFun · cited by 1GoodProducts.range_equiv_…Profinite.NobelingProof.GoodProducts.smaller_factorization · cited by 1GoodProducts.smaller_fact…Profinite.NobelingProof.GoodProducts.smaller_mono · cited by 1GoodProducts.smaller_monoProfinite.NobelingProof.GoodProducts.equiv_toFun_eq_eval · cited by 1GoodProducts.equiv_toFun_…Profinite.NobelingProof.GoodProducts.union · cited by 0GoodProducts.unionProfinite.NobelingProof.GoodProducts.range_equiv_smaller_toFun_bijective · cited by 0GoodProducts.range_equiv_…Set · cited by 53352SetLinearOrder · cited by 8572LinearOrderSet.Elem · cited by 7166Set.ElemSet.range · cited by 4705Set.rangeLocallyConstant · cited by 227LocallyConstantProfinite.NobelingProof.GoodProducts.eval · cited by 20GoodProducts.evalGoodProducts.rangeCITED BYCITES

Cites6

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

Cited by14

Results whose statement or proof uses this declaration.