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Theorems · Definition · general topology

RestrictedProduct.mk

{ι : Type u_1} →
  {R : ι → Type u_2} →
    {A : (i : ι) → Set (R i)} →
      {𝓕 : Filter ι} →
        (x : (i : ι) → R i) → (∀ᶠ (i : ι) in 𝓕, x i ∈ A i) → RestrictedProduct (fun i => R i) (fun i => A i) 𝓕

Constructor for RestrictedProduct.

Defined in
Mathlib.Topology.Algebra.RestrictedProduct.Basic
Cited by
4 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

RestrictedProduct.isUnit_of_eventually_isUnit · cited by 1RestrictedProduct.isUnit_…RestrictedProduct.mk_apply · cited by 0RestrictedProduct.mk_applyRestrictedProduct.continuous_dom_pi · cited by 0RestrictedProduct.continu…RestrictedProduct.mk.congr_simp · cited by 0mk.congr_simpSet · cited by 53352SetFilter · cited by 8121FilterFilter.Eventually · cited by 3134Filter.EventuallyRestrictedProduct · cited by 117RestrictedProductRestrictedProduct.mkCITED BYCITES

Cites4

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

Cited by4

Results whose statement or proof uses this declaration.