Theorems · Theorem · general topology
Filter.Eventually.diag_of_prod_right
∀ {α : Type u_1} {γ : Type u_3} {f : Filter α} {g : Filter γ} {p : α × γ × γ → Prop},
(∀ᶠ (x : α × γ × γ) in f ×ˢ g ×ˢ g, p x) → ∀ᶠ (x : α × γ) in f ×ˢ g, p (x.1, x.2, x.2)- Defined in
- Mathlib.Order.Filter.Prod
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- Filter.Eventuallystatement and proof · cited by 3,134
- SProd.sprodstatement and proof · cited by 1,750
- Filter.Eventually.monoproof · cited by 646
- Filter.Eventually.prod_mkproof · cited by 14
- Filter.eventually_prod_iffproof · cited by 12
- Filter.Eventually.diag_of_prodproof · cited by 11
Cited by4
Results whose statement or proof uses this declaration.
- TendstoUniformlyOnFilter.prodMkproof · cited by 4
- TendstoUniformlyOnFilter.uniformCauchySeqOnFilterproof · cited by 2
- difference_quotients_converge_uniformlyproof · cited by 1
- uniformCauchySeqOnFilter_of_fderivproof · cited by 1