Theorems · Theorem · category theory
TopCat.Homotopy.h_hom_apply
∀ {X Y : TopCat} {f₀ f₁ : X ⟶ Y} (F : TopCat.Homotopy f₀ f₁)
(p : ↑(CategoryTheory.MonoidalCategoryStruct.tensorObj X TopCat.I)),
(CategoryTheory.ConcreteCategory.hom F.h) p = F (TopCat.I.homeomorph p.2, p.1)- Defined in
- Mathlib.Topology.Homotopy.TopCat.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
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- Set.Elemstatement · cited by 7,166
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- TopCat.carrierstatement and proof · cited by 3,184
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement and proof · cited by 3,106
- ContinuousMapstatement · cited by 2,491
- TopCatstatement and proof · cited by 1,889
- Homeomorphstatement · cited by 725
- unitIntervalstatement · cited by 607
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