Theorems · Theorem · general topology
UniformFun.mono
∀ {α : Type u_1} {γ : Type u_3}, Monotone (@UniformFun.uniformSpace α γ)If u₁ and u₂ are two uniform structures on γ and u₁ ≤ u₂, then
𝒰(α, γ, u₁) ≤ 𝒰(α, γ, u₂).
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UniformSpacestatement and proof · cited by 2,040
- Monotonestatement · cited by 1,397
- uniformityproof · cited by 765
- UniformFunstatement · cited by 106
- GaloisConnection.monotone_uproof · cited by 53
- UniformFun.gcproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- UniformOnFun.monoproof · cited by 2
- UniformFun.postcomp_uniformContinuousproof · cited by 0