Theorems · Theorem · category theory
CategoryTheory.Bicategory.LeftExtension.homMk.congr_simp
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} {f : a ⟶ b} {g : a ⟶ c}
{s t : CategoryTheory.Bicategory.LeftExtension f g} (η η_1 : s.extension ⟶ t.extension) (e_η : η = η_1)
(w : CategoryTheory.CategoryStruct.comp s.unit (CategoryTheory.Bicategory.whiskerLeft f η) = t.unit),
CategoryTheory.Bicategory.LeftExtension.homMk η w = CategoryTheory.Bicategory.LeftExtension.homMk η_1 ⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Bicategory
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Cites9
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- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerLeftstatement and proof · cited by 524
- CategoryTheory.Bicategory.precompstatement · cited by 40
- CategoryTheory.Bicategory.LeftExtensionstatement and proof · cited by 29
- CategoryTheory.Bicategory.LeftExtension.extensionstatement and proof · cited by 19
- CategoryTheory.Bicategory.LeftExtension.unitstatement and proof · cited by 12
- CategoryTheory.Bicategory.LeftExtension.homMkstatement and proof · cited by 2
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