Theorems · Theorem · category theory

TopCat.isEmbedding_of_pullback

∀ {X Y S : TopCat} {f : X ⟶ S} {g : Y ⟶ S},
  Topology.IsEmbedding ⇑(CategoryTheory.ConcreteCategory.hom f) →
    Topology.IsEmbedding ⇑(CategoryTheory.ConcreteCategory.hom g) →
      Topology.IsEmbedding
        ⇑(CategoryTheory.ConcreteCategory.hom
            (CategoryTheory.Limits.limit.π (CategoryTheory.Limits.cospan f g) CategoryTheory.Limits.WalkingCospan.one))

Defined in: Mathlib.Topology.Category.TopCat.Limits.Pullbacks
Cited by: 0 results in Mathlib
Foundations: Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

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