Theorems · Theorem · general topology
RestrictedProduct.ext
∀ {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}, (∀ (i : ι), x i = y i) → x = y- Cited by
- 15 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
Cited by15
Results whose statement or proof uses this declaration.
- RestrictedProduct.single_addproof · cited by 0
- RestrictedProduct.mulSingle_divproof · cited by 0
- RestrictedProduct.single_mulproof · cited by 0
- RestrictedProduct.single_negproof · cited by 0
- RestrictedProduct.ext_iffproof · cited by 0
- RestrictedProduct.mulSingle_invproof · cited by 0
- RestrictedProduct.mulSingle_mulproof · cited by 0
- RestrictedProduct.single_nsmulproof · cited by 0
- RestrictedProduct.mulSingle_oneproof · cited by 0
- RestrictedProduct.mulSingle_powproof · cited by 0
- RestrictedProduct.mulSingle_zpowproof · cited by 0
- RestrictedProduct.single_subproof · cited by 0