Theorems · Theorem · sequences and series
HasProdUniformlyOn.congr_right
∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : CommMonoid α] {f : ι → β → α} {g : β → α} {s : Set β}
[inst_1 : UniformSpace α] {g' : β → α}, HasProdUniformlyOn f g s → Set.EqOn g g' s → HasProdUniformlyOn f g' s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidUniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- CommMonoidstatement and proof · cited by 2,264
- UniformSpacestatement and proof · cited by 2,040
- Set.EqOnstatement and proof · cited by 603
- HasProdUniformlyOnstatement and proof · cited by 28
- hasProdUniformlyOn_iff_tendstoUniformlyOnproof · cited by 7
- HasProdUniformlyOn.tendstoUniformlyOnproof · cited by 5
- TendstoUniformlyOn.congr_rightproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- HasProdUniformlyOn_sineTerm_prod_on_compactproof · cited by 1