Theorems · Theorem · category theory
TopPair.ofHom.congr_simp
∀ {X Y : TopPair} (f f_1 : TopPair.fst ⟶ TopPair.fst) (e_f : f = f_1) (g g_1 : TopPair.snd ⟶ TopPair.snd)
(e_g : g = g_1)
(w : CategoryTheory.CategoryStruct.comp g TopPair.map = CategoryTheory.CategoryStruct.comp TopPair.map f),
TopPair.ofHom f g w = TopPair.ofHom f_1 g_1 ⋯- Defined in
- Mathlib.Topology.Category.TopPair
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- Top.topstatement · cited by 9,680
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- TopCatstatement · cited by 1,889
- TopPairstatement and proof · cited by 67
- TopCat.isEmbeddingstatement · cited by 67
- TopPair.fststatement and proof · cited by 21
- TopPair.sndstatement and proof · cited by 21
- CategoryTheory.MorphismProperty.Arrowstatement · cited by 17
- TopPair.mapstatement and proof · cited by 14
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.