Theorems · Theorem · category theory

TopCat.fst_isEmbedding_of_right

∀ {X Y S : TopCat} (f : X ⟶ S) {g : Y ⟶ S},
  Topology.IsEmbedding ⇑(CategoryTheory.ConcreteCategory.hom g) →
    Topology.IsEmbedding ⇑(CategoryTheory.ConcreteCategory.hom (CategoryTheory.Limits.pullback.fst f g))

Defined in: Mathlib.Topology.Category.TopCat.Limits.Pullbacks
Cited by: 1 results in Mathlib
Foundations: Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

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Cites28

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

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Cited by1

Results whose statement or proof uses this declaration.

TopCat.fst_iso_of_right_embedding_range_subsetproof · cited by 0