Theorems · Definition · category theory
TopPair.of
{A X : TopCat} → (f : A ⟶ X) → Topology.IsEmbedding ⇑(CategoryTheory.ConcreteCategory.hom f) → TopPairConstruct a topological pair from its components.
- Defined in
- Mathlib.Topology.Category.TopPair
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- TopCat.carrierstatement · cited by 3,184
- ContinuousMapstatement · cited by 2,491
- TopCatstatement and proof · cited by 1,889
- Topology.IsEmbeddingstatement and proof · cited by 294
- TopPairstatement · cited by 67
- CategoryTheory.MorphismProperty.Arrow.mkproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- TopPair.ofTopCatproof · cited by 8
- TopPair.diagproof · cited by 2
- TopPair.ofSubsetproof · cited by 0