Theorems · Theorem · general topology
RestrictedProduct.ext_iff
∀ {ι : Type u_1} {R : ι → Type u_2} {A : (i : ι) → Set (R i)} {𝓕 : Filter ι}
{x y : RestrictedProduct (fun i => R i) (fun i => A i) 𝓕}, x = y ↔ ∀ (i : ι), x i = y i- Cited by
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- Foundations
- Depth 10 from the axioms · uses Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- RestrictedProductstatement and proof · cited by 117
- RestrictedProduct.extproof · cited by 15
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