Theorems · Theorem · category theory
CategoryTheory.ForgetEnrichment.homTo_homOf
∀ {C : Type u₁} (W : Type v) [inst : CategoryTheory.Category.{w, v} W] [inst_1 : CategoryTheory.MonoidalCategory W]
[inst_2 : CategoryTheory.EnrichedCategory W C] {X Y : C}
(f : CategoryTheory.MonoidalCategoryStruct.tensorUnit W ⟶ X ⟶[W] Y),
CategoryTheory.ForgetEnrichment.homTo W (CategoryTheory.ForgetEnrichment.homOf W f) = f- Defined in
- Mathlib.CategoryTheory.Enriched.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement and proof · cited by 1,384
- CategoryTheory.EnrichedCategory.Homstatement and proof · cited by 114
- CategoryTheory.EnrichedCategorystatement and proof · cited by 99
- CategoryTheory.ForgetEnrichment.ofstatement · cited by 25
- CategoryTheory.ForgetEnrichment.tostatement · cited by 23
- CategoryTheory.ForgetEnrichment.homOfstatement · cited by 14
- CategoryTheory.ForgetEnrichment.homTostatement · cited by 10
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