Theorems · Theorem · general topology
AbstractCompletion.mapEquiv_coe
∀ {α : Type uα} [inst : UniformSpace α] (pkg : AbstractCompletion.{vα, uα} α) {β : Type uβ} [inst_1 : UniformSpace β]
(pkg' : AbstractCompletion.{vβ, uβ} β) (e : α ≃ᵤ β) (a : α), (pkg.mapEquiv pkg' e) (pkg.coe a) = pkg'.coe (e a)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpaceUniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- UniformSpacestatement and proof · cited by 2,040
- UniformEquivstatement and proof · cited by 80
- AbstractCompletion.spacestatement · cited by 41
- AbstractCompletionstatement and proof · cited by 41
- AbstractCompletion.uniformStructstatement · cited by 30
- AbstractCompletion.coestatement · cited by 26
- UniformEquiv.uniformContinuousproof · cited by 5
- AbstractCompletion.map_coeproof · cited by 3
- AbstractCompletion.mapEquivstatement · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- UniformSpace.Completion.mapEquiv_coeproof · cited by 1