Theorems · Theorem · general topology
AbstractCompletion.compare_coe
∀ {α : Type uα} [inst : UniformSpace α] (pkg : AbstractCompletion.{vα, uα} α) (pkg' : AbstractCompletion.{vα', uα} α)
(a : α), pkg.compare pkg' (pkg.coe a) = pkg'.coe a- Cited by
- 3 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
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.
- UniformSpacestatement and proof · cited by 2,040
- AbstractCompletion.spacestatement · cited by 41
- AbstractCompletionstatement and proof · cited by 41
- AbstractCompletion.coestatement · cited by 26
- AbstractCompletion.comparestatement · cited by 8
- AbstractCompletion.extend_coeproof · cited by 8
- AbstractCompletion.uniformContinuous_coeproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- AbstractCompletion.compare_comp_eq_compareproof · cited by 1
- LaurentSeries.coe_X_compareproof · cited by 0
- AbstractCompletion.inverse_compareproof · cited by 0